{"id":100999,"date":"2026-09-05T22:25:30","date_gmt":"2026-09-05T14:25:30","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/100999.html"},"modified":"2026-09-05T22:25:30","modified_gmt":"2026-09-05T14:25:30","slug":"dawn%ef%bc%9a%e4%b8%96%e7%95%8c-%e5%8a%a8%e4%bd%9c%e4%ba%a4%e4%ba%92%e6%a8%a1%e5%9e%8b%e7%9a%84%e9%bb%8e%e6%98%8e","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/100999.html","title":{"rendered":"DAWN\uff1a\u4e16\u754c-\u52a8\u4f5c\u4ea4\u4e92\u6a21\u578b\u7684\u9ece\u660e"},"content":{"rendered":"<h3>1. \u5f15\u8a00&#xff1a;\u81ea\u52a8\u9a7e\u9a76\u4e2d\u7684\u672a\u6765\u9884\u6d4b\u56f0\u5883<\/h3>\n<p>\u5728\u81ea\u52a8\u9a7e\u9a76\u7cfb\u7edf\u7684\u51b3\u7b56\u8fc7\u7a0b\u4e2d&#xff0c;\u5b58\u5728\u4e00\u4e2a\u672c\u8d28\u6027\u7684\u77db\u76fe&#xff1a;\u672a\u6765\u573a\u666f\u7684\u6f14\u5316\u4f9d\u8d56\u4e8e\u5f53\u524d\u8003\u8651\u7684\u9a7e\u9a76\u52a8\u4f5c&#xff0c;\u800c\u5408\u7406\u7684\u9a7e\u9a76\u52a8\u4f5c\u53c8\u4f9d\u8d56\u4e8e\u5bf9\u672a\u6765\u573a\u666f\u7684\u51c6\u786e\u9884\u6d4b\u3002\u8fd9\u79cd\u76f8\u4e92\u4f9d\u8d56\u7684\u5173\u7cfb\u5728\u4f20\u7edf\u7684World Action Model&#xff08;\u4e16\u754c\u52a8\u4f5c\u6a21\u578b&#xff0c;\u7b80\u79f0WAM&#xff09;\u4e2d\u5e76\u672a\u5f97\u5230\u5145\u5206\u4f53\u73b0\u3002\u73b0\u6709\u7684WAM\u8981\u4e48\u91c7\u7528\u5e76\u884c\u5206\u652f\u72ec\u7acb\u9884\u6d4b\u4e16\u754c\u72b6\u6001\u548c\u9a7e\u9a76\u52a8\u4f5c&#xff0c;\u8981\u4e48\u91c7\u7528\u4e25\u683c\u7684\u9884\u6d4b-\u89c4\u5212\u6d41\u6c34\u7ebf&#xff0c;\u5148\u56fa\u5b9a\u672a\u6765\u573a\u666f\u9884\u6d4b&#xff0c;\u518d\u57fa\u4e8e\u6b64\u8fdb\u884c\u52a8\u4f5c\u89c4\u5212\u3002<\/p>\n<p>\u8fd9\u4e9b\u8bbe\u8ba1\u5b58\u5728\u6839\u672c\u6027\u5c40\u9650&#xff1a;\u5e76\u884c\u8bbe\u8ba1\u867d\u7136\u5141\u8bb8\u4e16\u754c\u548c\u52a8\u4f5c\u4ea7\u751f\u5173\u8054&#xff0c;\u4f46\u65e0\u6cd5\u8ba9\u4e8c\u8005\u5728\u751f\u6210\u8fc7\u7a0b\u4e2d\u76f8\u4e92\u91cd\u5851&#xff1b;\u987a\u5e8f\u8bbe\u8ba1\u867d\u7136\u8ba9\u52a8\u4f5c\u4f9d\u8d56\u4e8e\u9884\u6d4b\u7684\u672a\u6765&#xff0c;\u4f46\u8fd9\u4e2a\u672a\u6765\u662f\u56fa\u5b9a\u7684\u5047\u8bbe&#xff0c;\u5e76\u975e\u968f\u7740\u52a8\u4f5c\u5047\u8bbe\u6f14\u5316\u7684\u52a8\u6001\u672a\u6765\u3002\u5728\u590d\u6742\u7684\u4ea4\u4e92\u5f0f\u9a7e\u9a76\u573a\u666f\u4e2d&#xff0c;\u8fd9\u79cd\u7ed3\u6784\u6027\u89e3\u8026\u5bfc\u81f4\u6a21\u578b\u65e0\u6cd5\u5145\u5206\u7406\u89e3\u52a8\u4f5c\u4f9d\u8d56\u6027\u7684\u672a\u6765\u6f14\u5316\u7279\u6027\u3002<\/p>\n<p>DAWN&#xff08;Denoising Actions and World iNteractive model&#xff09;\u6b63\u662f\u5728\u8fd9\u6837\u7684\u80cc\u666f\u4e0b\u8bde\u751f\u7684\u3002\u5b83\u63d0\u51fa\u4e86World-Action Interactive Model&#xff08;\u4e16\u754c-\u52a8\u4f5c\u4ea4\u4e92\u6a21\u578b&#xff0c;\u7b80\u79f0WAIM&#xff09;\u7684\u65b0\u8303\u5f0f&#xff0c;\u5c06\u672a\u6765\u4e16\u754c\u72b6\u6001\u548c\u9a7e\u9a76\u52a8\u4f5c\u89c6\u4e3a\u9700\u8981\u5728\u63a8\u7406\u8fc7\u7a0b\u4e2d\u5171\u540c\u63a8\u65ad\u7684\u8026\u5408\u53d8\u91cf&#xff0c;\u800c\u975e\u72ec\u7acb\u751f\u6210\u6216\u5355\u5411\u4f9d\u8d56\u7684\u8f93\u51fa\u3002\u8fd9\u4e00\u7406\u5ff5\u7684\u6838\u5fc3\u5728\u4e8e&#xff1a;\u5728\u51b3\u7b56\u76f8\u5173\u7684\u672a\u6765\u672c\u8d28\u4e0a\u4f9d\u8d56\u4e8e\u6240\u8003\u8651\u7684\u52a8\u4f5c\u65f6&#xff0c;\u6a21\u578b\u4e0d\u5e94\u5148\u9884\u6d4b\u4e00\u4e2a\u88ab\u52a8\u7684\u4e16\u754c\u672a\u6765\u518d\u5728\u5176\u4e2d\u884c\u52a8&#xff0c;\u800c\u5e94\u8be5\u8054\u5408\u63a8\u65ad\u4e00\u4e2a\u4e16\u754c\u6f14\u5316\u4e0e\u51b3\u7b56\u5236\u5b9a\u4fdd\u6301\u76f8\u4e92\u5bf9\u9f50\u7684\u672a\u6765\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260905142528-6a9c2658d0d32.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<h3>2. \u4eceWAM\u5230WAIM&#xff1a;\u8303\u5f0f\u8f6c\u53d8\u7684\u672c\u8d28<\/h3>\n<h4>2.1 \u4f20\u7edfWAM\u7684\u7ed3\u6784\u6027\u5c40\u9650<\/h4>\n<p>\u4f20\u7edf\u7684\u81ea\u52a8\u9a7e\u9a76\u7b56\u7565\u76f4\u63a5\u5efa\u6a21\u6761\u4ef6\u6982\u7387\u5206\u5e03 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        p<\/p>\n<p>        (<\/p>\n<p>         a<\/p>\n<p>          1<\/p>\n<p>          :<\/p>\n<p>          H<\/p>\n<p>        \u2223<\/p>\n<p>        o<\/p>\n<p>        ,<\/p>\n<p>        l<\/p>\n<p>        )<\/p>\n<p>       p(a_{1:H}\\\\mid o,l)<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\">p<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">a<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><span class=\"mrel mtight\">:<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0813em\">H<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2223<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\">o<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0197em\">l<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5176\u4e2d <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        o<\/p>\n<p>       o<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">o<\/span><\/span><\/span><\/span><\/span> \u8868\u793a\u5f53\u524d\u89c2\u6d4b&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        l<\/p>\n<p>       l<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0197em\">l<\/span><\/span><\/span><\/span><\/span> \u8868\u793a\u4efb\u52a1\u6307\u4ee4&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         a<\/p>\n<p>          1<\/p>\n<p>          :<\/p>\n<p>          H<\/p>\n<p>       a_{1:H}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">a<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><span class=\"mrel mtight\">:<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0813em\">H<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u8868\u793a\u672a\u6765 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        H<\/p>\n<p>       H<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0813em\">H<\/span><\/span><\/span><\/span><\/span> \u6b65\u7684\u52a8\u4f5c\u5e8f\u5217\u3002\u8fd9\u79cd\u76f4\u63a5\u6620\u5c04\u5ffd\u7565\u4e86\u672a\u6765\u4e16\u754c\u6f14\u5316\u5bf9\u51b3\u7b56\u7684\u5f71\u54cd\u3002<\/p>\n<p>World Action Model\u901a\u8fc7\u5f15\u5165\u672a\u6765\u4e16\u754c\u8868\u793a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         v<\/p>\n<p>          1<\/p>\n<p>          :<\/p>\n<p>          T<\/p>\n<p>       v_{1:T}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">v<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><span class=\"mrel mtight\">:<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.1389em\">T<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5c06\u95ee\u9898\u6269\u5c55\u4e3a\u8054\u5408\u5efa\u6a21 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        p<\/p>\n<p>        (<\/p>\n<p>         v<\/p>\n<p>          1<\/p>\n<p>          :<\/p>\n<p>          T<\/p>\n<p>        ,<\/p>\n<p>         a<\/p>\n<p>          1<\/p>\n<p>          :<\/p>\n<p>          H<\/p>\n<p>        \u2223<\/p>\n<p>        o<\/p>\n<p>        ,<\/p>\n<p>        l<\/p>\n<p>        )<\/p>\n<p>       p(v_{1:T}, a_{1:H}\\\\mid o,l)<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\">p<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">v<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><span class=\"mrel mtight\">:<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.1389em\">T<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">a<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><span class=\"mrel mtight\">:<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0813em\">H<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2223<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\">o<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0197em\">l<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>\u3002\u7406\u8bba\u4e0a&#xff0c;\u52a8\u4f5c\u5206\u5e03\u53ef\u4ee5\u901a\u8fc7\u5bf9\u6240\u6709\u53ef\u80fd\u672a\u6765\u7684\u8fb9\u7f18\u5316\u5f97\u5230&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         p<\/p>\n<p>         (<\/p>\n<p>          a<\/p>\n<p>           1<\/p>\n<p>           :<\/p>\n<p>           H<\/p>\n<p>         \u2223<\/p>\n<p>         o<\/p>\n<p>         ,<\/p>\n<p>         l<\/p>\n<p>         )<\/p>\n<p>         &#061;<\/p>\n<p>         \u222b<\/p>\n<p>         p<\/p>\n<p>         (<\/p>\n<p>          v<\/p>\n<p>           1<\/p>\n<p>           :<\/p>\n<p>           T<\/p>\n<p>         ,<\/p>\n<p>          a<\/p>\n<p>           1<\/p>\n<p>           :<\/p>\n<p>           H<\/p>\n<p>         \u2223<\/p>\n<p>         o<\/p>\n<p>         ,<\/p>\n<p>         l<\/p>\n<p>         )<br \/>\n        \u2009<\/p>\n<p>         d<\/p>\n<p>          v<\/p>\n<p>           1<\/p>\n<p>           :<\/p>\n<p>           T<\/p>\n<p>         p(a_{1:H}\\\\mid o,l)&#061;\\\\int p(v_{1:T},a_{1:H}\\\\mid o,l)\\\\,dv_{1:T} <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\">p<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">a<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><span class=\"mrel mtight\">:<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0813em\">H<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2223<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\">o<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0197em\">l<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.2222em;vertical-align: -0.8622em\"><\/span><span class=\"mop op-symbol large-op\" style=\"margin-right: 0.4445em;position: relative;top: -0.0011em\">\u222b<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">p<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">v<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><span class=\"mrel mtight\">:<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.1389em\">T<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">a<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><span class=\"mrel mtight\">:<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0813em\">H<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2223<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\">o<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0197em\">l<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">d<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">v<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><span class=\"mrel mtight\">:<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.1389em\">T<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u7136\u800c&#xff0c;\u73b0\u6709WAM\u7684\u5b9e\u73b0\u5728\u63a8\u7406\u65f6\u5f80\u5f80\u91c7\u53d6\u4e24\u79cd\u6781\u7aef\u7b56\u7565&#xff1a;<\/p>\n<li>\n<p>\u5e76\u884c\u751f\u6210&#xff1a;\u4f7f\u7528\u72ec\u7acb\u7684\u5206\u652f\u4ece\u5171\u4eab\u7684\u89c6\u89c9\u4e0a\u4e0b\u6587\u540c\u65f6\u9884\u6d4b\u672a\u6765\u573a\u666f\u548c\u52a8\u4f5c&#xff0c;\u4e8c\u8005\u5728\u8bad\u7ec3\u65f6\u76f8\u5173\u4f46\u5728\u751f\u6210\u65f6\u5404\u81ea\u72ec\u7acb\u3002<\/p>\n<\/li>\n<li>\n<p>\u987a\u5e8f\u6d41\u6c34\u7ebf&#xff1a;\u5148\u9884\u6d4b\u672a\u6765\u89c2\u6d4b\u3001\u5360\u7528\u6805\u683c\u6216\u6f5c\u5728\u573a\u666f\u72b6\u6001&#xff0c;\u7136\u540e\u57fa\u4e8e\u8fd9\u4e9b\u9884\u6d4b\u7684\u672a\u6765\u8fdb\u884c\u52a8\u4f5c\u89c4\u5212\u3002<\/p>\n<\/li>\n<p>\u8fd9\u4e24\u79cd\u7b56\u7565\u7684\u5171\u540c\u95ee\u9898\u5728\u4e8e&#xff1a;\u5728\u751f\u6210\u65f6\u523b&#xff0c;\u4e00\u65b9\u76f8\u5bf9\u4e8e\u53e6\u4e00\u65b9\u662f\u56fa\u5b9a\u7684\u3002\u5e76\u884c\u8bbe\u8ba1\u5141\u8bb8\u76f8\u5173\u6027\u4f46\u4e0d\u5141\u8bb8\u8fed\u4ee3\u91cd\u5851&#xff1b;\u987a\u5e8f\u8bbe\u8ba1\u8ba9\u52a8\u4f5c\u4f9d\u8d56\u4e8e\u4e00\u4e2a\u51bb\u7ed3\u7684\u672a\u6765\u5047\u8bbe&#xff0c;\u800c\u975e\u968f\u52a8\u4f5c\u5047\u8bbe\u5171\u540c\u6f14\u5316\u7684\u672a\u6765\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260905142529-6a9c2659241a9.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<h4>2.2 WAIM\u7684\u6838\u5fc3\u601d\u60f3<\/h4>\n<p>WAIM\u5c06World-Action Interactive Model\u5b9a\u4e49\u4e3a\u4e00\u7c7b\u7279\u6b8a\u7684WAM&#xff0c;\u5176\u4e2d\u672a\u6765\u4e16\u754c\u548c\u672a\u6765\u52a8\u4f5c\u88ab\u63a8\u65ad\u4e3a\u8026\u5408\u53d8\u91cf&#xff0c;\u800c\u975e\u72ec\u7acb\u751f\u6210\u6216\u6309\u56fa\u5b9a\u5355\u5411\u987a\u5e8f\u751f\u6210\u3002\u5f62\u5f0f\u5316\u5730&#xff0c;WAIM\u5bfb\u6c42\u4e00\u4e2a\u81ea\u6d3d\u7684\u5bf9 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        (<\/p>\n<p>          v<\/p>\n<p>          ^<\/p>\n<p>          1<\/p>\n<p>          :<\/p>\n<p>          T<\/p>\n<p>        ,<\/p>\n<p>          a<\/p>\n<p>          ^<\/p>\n<p>          1<\/p>\n<p>          :<\/p>\n<p>          H<\/p>\n<p>        )<\/p>\n<p>       (\\\\hat{v}_{1:T}, \\\\hat{a}_{1:H})<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.6944em\"><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">v<\/span><\/span><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"accent-body\" style=\"left: -0.2222em\"><span class=\"mord\">^<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><span class=\"mrel mtight\">:<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.1389em\">T<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.6944em\"><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord mathnormal\">a<\/span><\/span><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"accent-body\" style=\"left: -0.25em\"><span class=\"mord\">^<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><span class=\"mrel mtight\">:<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0813em\">H<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u4f7f\u5f97&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           v<\/p>\n<p>           ^<\/p>\n<p>           1<\/p>\n<p>           :<\/p>\n<p>           T<\/p>\n<p>         &#061;<\/p>\n<p>          F<\/p>\n<p>          \u03b8<\/p>\n<p>         (<\/p>\n<p>         o<\/p>\n<p>         ,<\/p>\n<p>         l<\/p>\n<p>         ,<\/p>\n<p>           a<\/p>\n<p>           ^<\/p>\n<p>           1<\/p>\n<p>           :<\/p>\n<p>           H<\/p>\n<p>         )<\/p>\n<p>         ,<\/p>\n<p>           a<\/p>\n<p>           ^<\/p>\n<p>           1<\/p>\n<p>           :<\/p>\n<p>           H<\/p>\n<p>         &#061;<\/p>\n<p>          G<\/p>\n<p>          \u03d5<\/p>\n<p>         (<\/p>\n<p>         o<\/p>\n<p>         ,<\/p>\n<p>         l<\/p>\n<p>         ,<\/p>\n<p>           v<\/p>\n<p>           ^<\/p>\n<p>           1<\/p>\n<p>           :<\/p>\n<p>           T<\/p>\n<p>         )<\/p>\n<p>         \\\\hat{v}_{1:T}&#061;F_{\\\\theta}(o,l,\\\\hat{a}_{1:H}),\\\\qquad \\\\hat{a}_{1:H}&#061;G_{\\\\phi}(o,l,\\\\hat{v}_{1:T}) <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8444em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.6944em\"><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">v<\/span><\/span><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"accent-body\" style=\"left: -0.2222em\"><span class=\"mord\">^<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><span class=\"mrel mtight\">:<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.1389em\">T<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">F<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">\u03b8<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">o<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0197em\">l<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.6944em\"><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord mathnormal\">a<\/span><\/span><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"accent-body\" style=\"left: -0.25em\"><span class=\"mord\">^<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><span class=\"mrel mtight\">:<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0813em\">H<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 2em\"><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.6944em\"><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord mathnormal\">a<\/span><\/span><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"accent-body\" style=\"left: -0.25em\"><span class=\"mord\">^<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><span class=\"mrel mtight\">:<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0813em\">H<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.0361em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">G<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">\u03d5<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">o<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0197em\">l<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.6944em\"><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">v<\/span><\/span><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"accent-body\" style=\"left: -0.2222em\"><span class=\"mord\">^<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><span class=\"mrel mtight\">:<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.1389em\">T<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5728\u5b9e\u8df5\u4e2d&#xff0c;\u8fd9\u53ef\u4ee5\u901a\u8fc7\u8fed\u4ee3\u4ea4\u4e92\u5b9e\u73b0&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         (<\/p>\n<p>          v<\/p>\n<p>           1<\/p>\n<p>           :<\/p>\n<p>           T<\/p>\n<p>           (<\/p>\n<p>           k<\/p>\n<p>           &#043;<\/p>\n<p>           1<\/p>\n<p>           )<\/p>\n<p>         ,<\/p>\n<p>          a<\/p>\n<p>           1<\/p>\n<p>           :<\/p>\n<p>           H<\/p>\n<p>           (<\/p>\n<p>           k<\/p>\n<p>           &#043;<\/p>\n<p>           1<\/p>\n<p>           )<\/p>\n<p>         )<\/p>\n<p>         &#061;<\/p>\n<p>          I<\/p>\n<p>          \u0398<\/p>\n<p>         (<\/p>\n<p>          v<\/p>\n<p>           1<\/p>\n<p>           :<\/p>\n<p>           T<\/p>\n<p>           (<\/p>\n<p>           k<\/p>\n<p>           )<\/p>\n<p>         ,<\/p>\n<p>          a<\/p>\n<p>           1<\/p>\n<p>           :<\/p>\n<p>           H<\/p>\n<p>           (<\/p>\n<p>           k<\/p>\n<p>           )<\/p>\n<p>         ;<\/p>\n<p>         o<\/p>\n<p>         ,<\/p>\n<p>         l<\/p>\n<p>         )<\/p>\n<p>         (v_{1:T}^{(k&#043;1)},a_{1:H}^{(k&#043;1)}) &#061;\\\\mathcal{I}_{\\\\Theta}(v_{1:T}^{(k)},a_{1:H}^{(k)};o,l) <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.3383em;vertical-align: -0.2935em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">v<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4065em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><span class=\"mrel mtight\">:<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.1389em\">T<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0315em\">k<\/span><span class=\"mbin mtight\">&#043;<\/span><span class=\"mord mtight\">1<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2935em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">a<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4065em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><span class=\"mrel mtight\">:<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0813em\">H<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0315em\">k<\/span><span class=\"mbin mtight\">&#043;<\/span><span class=\"mord mtight\">1<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2935em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.3383em;vertical-align: -0.2935em\"><\/span><span class=\"mord\"><span class=\"mord mathcal\" style=\"margin-right: 0.0738em\">I<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0738em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u0398<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">v<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4065em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><span class=\"mrel mtight\">:<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.1389em\">T<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0315em\">k<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2935em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">a<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4065em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><span class=\"mrel mtight\">:<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0813em\">H<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0315em\">k<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2935em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">;<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">o<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0197em\">l<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5176\u4e2d <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         I<\/p>\n<p>         \u0398<\/p>\n<p>       \\\\mathcal{I}_{\\\\Theta}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathcal\" style=\"margin-right: 0.0738em\">I<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0738em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u0398<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u8868\u793a\u4e00\u4e2a\u4ea4\u4e92\u7b97\u5b50&#xff0c;\u5b83\u540c\u65f6\u66f4\u65b0\u4e16\u754c\u5047\u8bbe\u548c\u52a8\u4f5c\u5047\u8bbe\u3002<\/p>\n<p>\u5173\u952e\u533a\u522b\u5728\u4e8e&#xff1a;WAM\u8054\u5408\u5efa\u6a21\u672a\u6765\u4e16\u754c\u548c\u52a8\u4f5c&#xff0c;\u800cWAIM\u901a\u8fc7\u4ea4\u4e92\u8054\u5408\u63a8\u65ad\u5b83\u4eec\u3002\u8fd9\u79cd\u533a\u522b\u5728\u51b3\u7b56\u76f8\u5173\u7684\u672a\u6765\u4f9d\u8d56\u4e8e\u6240\u8003\u8651\u7684\u52a8\u4f5c&#xff0c;\u800c\u975e\u4ec5\u4f9d\u8d56\u4e8e\u573a\u666f\u52a8\u529b\u5b66\u65f6\u5c24\u4e3a\u91cd\u8981\u3002<\/p>\n<p>\u5728\u672c\u5730\u4ee3\u7801\u91cc&#xff0c;WAIM\u7684\u4ea4\u4e92\u601d\u60f3\u4e3b\u8981\u843d\u5728\u9a8c\u8bc1\u5165\u53e3 DAWN\/scripts\/infer_nuscenes_val.py&#xff1a;\u5148\u6784\u5efa encoder\/predictor\/planner\/token_ae&#xff0c;\u518d\u628a\u8fd9\u4e9b\u6a21\u5757\u4ea4\u7ed9 run_validation \u6267\u884c\u9884\u6d4b\u548c\u89c4\u5212\u95ed\u73af\u3002<\/p>\n<p>    metrics <span class=\"token operator\">&#061;<\/span> run_validation<span class=\"token punctuation\">(<\/span><br \/>\n        encoder<span class=\"token operator\">&#061;<\/span>encoder<span class=\"token punctuation\">,<\/span><br \/>\n        predictor<span class=\"token operator\">&#061;<\/span>predictor<span class=\"token punctuation\">,<\/span><br \/>\n        planner<span class=\"token operator\">&#061;<\/span>planner<span class=\"token punctuation\">,<\/span><br \/>\n        val_loader<span class=\"token operator\">&#061;<\/span>val_loader<span class=\"token punctuation\">,<\/span><br \/>\n        val_sampler<span class=\"token operator\">&#061;<\/span>val_sampler<span class=\"token punctuation\">,<\/span><br \/>\n        config<span class=\"token operator\">&#061;<\/span>config<span class=\"token punctuation\">,<\/span><br \/>\n        epoch<span class=\"token operator\">&#061;<\/span>args<span class=\"token punctuation\">.<\/span>epoch<span class=\"token punctuation\">,<\/span><br \/>\n        rank<span class=\"token operator\">&#061;<\/span>rank<span class=\"token punctuation\">,<\/span><br \/>\n        world_size<span class=\"token operator\">&#061;<\/span>world_size<span class=\"token punctuation\">,<\/span><br \/>\n        use_tubelet_repeat<span class=\"token operator\">&#061;<\/span>config<span class=\"token punctuation\">.<\/span>data<span class=\"token punctuation\">.<\/span>use_tubelet_repeat<span class=\"token punctuation\">,<\/span><br \/>\n        vis_output_dir<span class=\"token operator\">&#061;<\/span>vis_output_dir<span class=\"token punctuation\">,<\/span><br \/>\n        token_ae<span class=\"token operator\">&#061;<\/span>token_ae<span class=\"token punctuation\">,<\/span><br \/>\n    <span class=\"token punctuation\">)<\/span><\/p>\n<h3>3. DAWN\u67b6\u6784\u8bbe\u8ba1&#xff1a;\u7d27\u51d1\u6f5c\u5728\u7a7a\u95f4\u4e2d\u7684\u4ea4\u4e92\u5f0f\u63a8\u7406<\/h3>\n<h4>3.1 \u6574\u4f53\u67b6\u6784\u6982\u89c8<\/h4>\n<p>DAWN\u5728\u7d27\u51d1\u7684\u8bed\u4e49\u6f5c\u5728\u7a7a\u95f4\u4e2d\u5b9e\u4f8b\u5316WAIM&#xff0c;\u907f\u514d\u4e86\u6602\u8d35\u7684\u50cf\u7d20\u7ea7\u672a\u6765\u6e32\u67d3\u3002\u5176\u6838\u5fc3\u601d\u60f3\u662f\u4f7f\u7528\u77ed\u671f\u663e\u5f0f\u6f5c\u5728\u63a8\u6f14\u6765\u652f\u6301\u590d\u6742\u4ea4\u4e92\u573a\u666f\u4e2d\u7684\u957f\u671f\u52a8\u4f5c\u751f\u6210\u3002\u67b6\u6784\u5305\u542b\u4ee5\u4e0b\u5173\u952e\u7ec4\u4ef6&#xff1a;<\/p>\n<li>Student Vision-Encoder&#xff1a;\u4ece\u5f53\u524d\u89c2\u6d4b\u4e2d\u63d0\u53d6\u5bc6\u96c6\u89c6\u89c9\u7279\u5f81<\/li>\n<li>Teacher Vision-Encoder&#xff1a;\u4ec5\u5728\u8bad\u7ec3\u65f6\u4f7f\u7528&#xff0c;\u4e3a\u672a\u6765\u89c2\u6d4b\u63d0\u4f9b\u76d1\u7763\u4fe1\u53f7<\/li>\n<li>Auto-Encoder Resampler&#xff1a;\u5c06\u5bc6\u96c6\u7f16\u7801\u5668\u7279\u5f81\u538b\u7f29\u4e3a\u7d27\u51d1\u7684\u6f5c\u5728\u4e16\u754c\u8868\u793a<\/li>\n<li>World Predictor&#xff1a;\u5728\u6f5c\u5728\u7a7a\u95f4\u4e2d\u9884\u6d4b\u672a\u6765\u4e16\u754c\u72b6\u6001<\/li>\n<li>World-Conditioned Action Denoiser&#xff1a;\u57fa\u4e8e\u9884\u6d4b\u7684\u672a\u6765\u4e16\u754c\u53bb\u566a\u52a8\u4f5c\u5047\u8bbe<\/li>\n<li>Action Head&#xff1a;\u5c06\u53bb\u566a\u540e\u7684\u52a8\u4f5c\u72b6\u6001\u89e3\u7801\u4e3a\u6700\u7ec8\u8f68\u8ff9<\/li>\n<p>\u8fd9\u79cd\u8bbe\u8ba1\u7684\u72ec\u7279\u4e4b\u5904\u5728\u4e8e&#xff0c;\u5b83\u4e0d\u9700\u8981\u5728\u6574\u4e2a\u52a8\u4f5c\u89c4\u5212\u65f6\u57df\u5185\u63a8\u6f14\u4e16\u754c\u72b6\u6001&#xff0c;\u4e5f\u4e0d\u9700\u8981\u5728\u50cf\u7d20\u7a7a\u95f4\u4e2d\u8fdb\u884c\u672a\u6765\u6e32\u67d3\u3002\u76f8\u53cd&#xff0c;\u5b83\u5728\u4e00\u4e2a\u7d27\u51d1\u7684\u6f5c\u5728\u7a7a\u95f4\u4e2d\u6267\u884c\u77ed\u671f\u4e16\u754c\u63a8\u6f14&#xff0c;\u8fd9\u8db3\u4ee5\u652f\u6301\u957f\u671f\u8f68\u8ff9\u751f\u6210\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260905142529-6a9c26595fe6f.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/> \u3001<\/p>\n<table>\n<tr>\u8bba\u6587\u6a21\u5757\u672c\u5730\u4ee3\u7801\u4f4d\u7f6e\u4f5c\u7528<\/tr>\n<tbody>\n<tr>\n<td>Runtime\u5165\u53e3<\/td>\n<td>DAWN\/scripts\/infer_nuscenes_val.py<\/td>\n<td>\u6784\u5efaencoder\u3001predictor\u3001planner\u3001dataloader&#xff0c;\u5e76\u52a0\u8f7dcheckpoint<\/td>\n<\/tr>\n<tr>\n<td>\u6a21\u578b\u521d\u59cb\u5316<\/td>\n<td>DAWN\/app\/vjepa_cowa_world_model\/training\/models.py<\/td>\n<td>\u521d\u59cb\u5316V-JEPA encoder\u3001TokenAE\u3001World Predictor\u3001Diffusion Planner<\/td>\n<\/tr>\n<tr>\n<td>Auto-Encoder Resampler<\/td>\n<td>DAWN\/app\/vjepa_cowa_world_model\/models\/token_ae.py<\/td>\n<td>\u5c06\u5bc6\u96c6ViT tokens\u538b\u7f29\u4e3a\u5c11\u91cflatent world tokens<\/td>\n<\/tr>\n<tr>\n<td>World Predictor<\/td>\n<td>DAWN\/src\/models\/ac_predictor.py<\/td>\n<td>VisionTransformerPredictorAC&#xff0c;\u52a8\u4f5c\u6761\u4ef6\u7684\u672a\u6765latent\u9884\u6d4b\u5668<\/td>\n<\/tr>\n<tr>\n<td>Action Denoiser<\/td>\n<td>DAWN\/app\/vjepa_cowa_world_model\/models\/diffusion_planner.py<\/td>\n<td>DiffusionPlanner \/ TrajectoryDiT&#xff0c;\u57fa\u4e8elatent world tokens\u751f\u6210\u8f68\u8ff9<\/td>\n<\/tr>\n<tr>\n<td>\u9a8c\u8bc1\u95ed\u73af<\/td>\n<td>DAWN\/app\/vjepa_cowa_world_model\/val_command.py<\/td>\n<td>\u6267\u884cencoder -&gt; predictor rollout -&gt; planner -&gt; metrics<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260905142529-6a9c2659817b5.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<h4>3.2 \u89c6\u89c9\u7f16\u7801\u4e0e\u6f5c\u5728\u538b\u7f29<\/h4>\n<p>\u7ed9\u5b9a\u5f53\u524d\u89c2\u6d4b <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        o<\/p>\n<p>       o<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">o<\/span><\/span><\/span><\/span><\/span>&#xff0c;Student Vision-Encoder\u63d0\u53d6\u5bc6\u96c6\u89c6\u89c9tokens&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         u<\/p>\n<p>         &#061;<\/p>\n<p>          E<\/p>\n<p>           s<\/p>\n<p>           t<\/p>\n<p>           u<\/p>\n<p>         (<\/p>\n<p>         o<\/p>\n<p>         )<\/p>\n<p>         u&#061;E_{\\\\mathrm{stu}}(o) <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">u<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">E<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0576em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">stu<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">o<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5728\u5b9e\u73b0\u4e2d&#xff0c;Student\u548cTeacher\u5206\u652f\u90fd\u4f7f\u7528V-JEPA 2 Large\u4f5c\u4e3a\u89c6\u89c9\u9aa8\u5e72\u7f51\u7edc\u3002\u7531\u4e8e\u5bc6\u96c6\u7f16\u7801\u5668tokens\u7684\u76f4\u63a5\u63a8\u6f14\u6210\u672c\u8fc7\u9ad8&#xff0c;DAWN\u5f15\u5165\u4e86Auto-Encoder Resampler&#xff0c;\u8fd9\u662f\u4e00\u4e2a\u5728token\u7a7a\u95f4\u4e2d\u64cd\u4f5c\u7684\u5b66\u4e60\u74f6\u9888\u81ea\u7f16\u7801\u5668&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         z<\/p>\n<p>         &#061;<\/p>\n<p>          R<\/p>\n<p>           s<\/p>\n<p>           t<\/p>\n<p>           u<\/p>\n<p>         (<\/p>\n<p>         u<\/p>\n<p>         )<\/p>\n<p>         z&#061;R_{\\\\mathrm{stu}}(u) <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.044em\">z<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0077em\">R<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0077em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">stu<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">u<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u8fd9\u4ea7\u751f\u4e86\u4e00\u4e2a\u7d27\u51d1\u7684\u6f5c\u5728\u4e16\u754c\u8868\u793a&#xff0c;\u7528\u4e8e\u4e0b\u6e38\u4ea4\u4e92\u3002\u5728\u8bad\u7ec3\u8fc7\u7a0b\u4e2d&#xff0c;\u672a\u6765\u89c2\u6d4b <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         o<\/p>\n<p>         &#043;<\/p>\n<p>       o^{&#043;}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7713em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">o<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7713em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">&#043;<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u901a\u8fc7Teacher Vision-Encoder\u53ca\u5176\u5bf9\u5e94\u7684resampler\u5904\u7406&#xff0c;\u751f\u6210\u76ee\u6807\u672a\u6765\u6f5c\u5728\u8868\u793a&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          z<\/p>\n<p>           t<\/p>\n<p>           a<\/p>\n<p>           r<\/p>\n<p>           g<\/p>\n<p>           e<\/p>\n<p>           t<\/p>\n<p>         &#061;<\/p>\n<p>          R<\/p>\n<p>           t<\/p>\n<p>           e<\/p>\n<p>           a<\/p>\n<p>         (<\/p>\n<p>          E<\/p>\n<p>           t<\/p>\n<p>           e<\/p>\n<p>           a<\/p>\n<p>         (<\/p>\n<p>          o<\/p>\n<p>          &#043;<\/p>\n<p>         )<\/p>\n<p>         )<\/p>\n<p>         z_{\\\\mathrm{target}}&#061;R_{\\\\mathrm{tea}}(E_{\\\\mathrm{tea}}(o^{&#043;})) <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7167em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.044em\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.044em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">target<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.0713em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0077em\">R<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0077em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">tea<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">E<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0576em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">tea<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">o<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8213em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">&#043;<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">))<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u8fd9\u79cd\u8bbe\u8ba1\u7684\u5173\u952e\u521b\u65b0\u5728\u4e8e&#xff1a;\u5b83\u4e0d\u662f\u5728\u9ad8\u7ef4\u50cf\u7d20\u7a7a\u95f4\u6216\u5bc6\u96c6\u7279\u5f81\u7a7a\u95f4\u4e2d\u8fdb\u884c\u4e16\u754c\u5efa\u6a21&#xff0c;\u800c\u662f\u5b66\u4e60\u4e00\u4e2a\u6781\u5176\u7d27\u51d1\u7684\u6f5c\u5728\u8868\u793a&#xff08;\u4f8b\u5982&#xff0c;\u4ec516\u4e2atokens&#xff09;&#xff0c;\u8fd9\u4e2a\u8868\u793a\u4fdd\u7559\u4e86\u52a8\u4f5c\u89c4\u5212\u6240\u9700\u7684\u5173\u952e\u573a\u666f\u4fe1\u606f&#xff0c;\u540c\u65f6\u5927\u5e45\u964d\u4f4e\u4e86\u63a8\u6f14\u7684\u8ba1\u7b97\u6210\u672c\u3002<\/p>\n<p>\u5b9e\u73b0\u7ec6\u8282\u663e\u793a&#xff0c;Resampler\u4f7f\u752816\u4e2a\u6ce8\u610f\u529b\u5934&#xff0c;4\u5c42\u7f16\u7801\u5668\u548c2\u5c42\u89e3\u7801\u5668\u67b6\u6784&#xff0c;MLP\u6bd4\u7387\u4e3a4.0&#xff0c;\u5e76\u91c7\u7528\u53ef\u5b66\u4e60\u7684\u4f4d\u7f6e\u5d4c\u5165\u3002\u8fd9\u79cd\u914d\u7f6e\u5728\u8868\u8fbe\u80fd\u529b\u548c\u8ba1\u7b97\u6548\u7387\u4e4b\u95f4\u53d6\u5f97\u4e86\u826f\u597d\u5e73\u8861\u3002<\/p>\n<p>\u672c\u5730\u5b9e\u73b0\u91cc&#xff0c;TokenAE\u7684\u63a8\u7406\u538b\u7f29\u63a5\u53e3\u5728 DAWN\/app\/vjepa_cowa_world_model\/models\/token_ae.py&#xff0c;\u9a8c\u8bc1\u6d41\u7a0b\u91cc\u7684\u5b9e\u9645\u8c03\u7528\u5728 DAWN\/app\/vjepa_cowa_world_model\/val_command.py\u3002<\/p>\n<p>\u6765\u6e90&#xff1a;DAWN\/app\/vjepa_cowa_world_model\/models\/token_ae.py<\/p>\n<p>    <span class=\"token keyword\">def<\/span> <span class=\"token function\">compress<\/span><span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">,<\/span> x<span class=\"token punctuation\">:<\/span> torch<span class=\"token punctuation\">.<\/span>Tensor<span class=\"token punctuation\">,<\/span> num_frames<span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">int<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token operator\">&gt;<\/span> torch<span class=\"token punctuation\">.<\/span>Tensor<span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token triple-quoted-string string\">&#034;&#034;&#034;Compress tokens for inference (no reconstruction, no loss).<\/p>\n<p>        Parameters<br \/>\n        &#8212;&#8212;&#8212;-<br \/>\n        x          : [B, T * tokens_per_frame, D]<br \/>\n        num_frames : int<\/p>\n<p>        Returns<br \/>\n        &#8212;&#8212;-<br \/>\n        z : [B, T * num_latent_tokens, D]<br \/>\n        &#034;&#034;&#034;<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> self<span class=\"token punctuation\">.<\/span>encode<span class=\"token punctuation\">(<\/span>x<span class=\"token punctuation\">,<\/span> num_frames<span class=\"token punctuation\">)<\/span><\/p>\n<p>\u6765\u6e90&#xff1a;DAWN\/app\/vjepa_cowa_world_model\/val_command.py<\/p>\n<p><span class=\"token keyword\">def<\/span> <span class=\"token function\">_compress_tokens_with_token_ae<\/span><span class=\"token punctuation\">(<\/span>token_ae<span class=\"token punctuation\">,<\/span> tokens<span class=\"token punctuation\">:<\/span> torch<span class=\"token punctuation\">.<\/span>Tensor<span class=\"token punctuation\">,<\/span> num_frames<span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">int<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token operator\">&gt;<\/span> torch<span class=\"token punctuation\">.<\/span>Tensor<span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token triple-quoted-string string\">&#034;&#034;&#034;Apply frozen Token AE compression on concatenated frame tokens.&#034;&#034;&#034;<\/span><br \/>\n    ae_tokens_per_frame <span class=\"token operator\">&#061;<\/span> <span class=\"token builtin\">int<\/span><span class=\"token punctuation\">(<\/span><span class=\"token builtin\">getattr<\/span><span class=\"token punctuation\">(<\/span>token_ae<span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#034;tokens_per_frame&#034;<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    expected_tokens <span class=\"token operator\">&#061;<\/span> <span class=\"token builtin\">int<\/span><span class=\"token punctuation\">(<\/span>num_frames<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">*<\/span> ae_tokens_per_frame<br \/>\n    <span class=\"token keyword\">if<\/span> tokens<span class=\"token punctuation\">.<\/span>size<span class=\"token punctuation\">(<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">!&#061;<\/span> expected_tokens<span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> tokens<span class=\"token punctuation\">.<\/span>size<span class=\"token punctuation\">(<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">%<\/span> ae_tokens_per_frame <span class=\"token operator\">!&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">:<\/span><br \/>\n            <span class=\"token keyword\">raise<\/span> ValueError<span class=\"token punctuation\">(<\/span><br \/>\n                <span class=\"token string\">&#034;Cannot infer TokenAE frame count: &#034;<\/span><br \/>\n                <span class=\"token string-interpolation\"><span class=\"token string\">f&#034;tokens&#061;<\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>tokens<span class=\"token punctuation\">.<\/span>size<span class=\"token punctuation\">(<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">, num_frames&#061;<\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>num_frames<span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">, ae_tokens_per_frame&#061;<\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>ae_tokens_per_frame<span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">&#034;<\/span><\/span><br \/>\n            <span class=\"token punctuation\">)<\/span><br \/>\n        num_frames <span class=\"token operator\">&#061;<\/span> tokens<span class=\"token punctuation\">.<\/span>size<span class=\"token punctuation\">(<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">\/\/<\/span> ae_tokens_per_frame<br \/>\n    <span class=\"token keyword\">return<\/span> token_ae<span class=\"token punctuation\">.<\/span>encode<span class=\"token punctuation\">(<\/span>tokens<span class=\"token punctuation\">,<\/span> num_frames<span class=\"token operator\">&#061;<\/span>num_frames<span class=\"token punctuation\">)<\/span><\/p>\n<h4>3.3 \u9012\u5f52\u4ea4\u4e92\u673a\u5236&#xff1a;\u4e16\u754c\u9884\u6d4b\u4e0e\u52a8\u4f5c\u53bb\u566a\u7684\u8026\u5408<\/h4>\n<p>DAWN\u7684\u6838\u5fc3\u521b\u65b0\u5728\u4e8eWorld Predictor\u548cWorld-Conditioned Action Denoiser\u4e4b\u95f4\u7684\u9012\u5f52\u4ea4\u4e92\u3002World Predictor\u5b9e\u73b0\u4e3a\u4e00\u4e2a\u56e0\u679cTransformer&#xff0c;\u4ece\u5f53\u524d\u6f5c\u5728\u4e0a\u4e0b\u6587\u548c\u5f53\u524d\u52a8\u4f5c\u5047\u8bbe\u9884\u6d4b\u672a\u6765\u6f5c\u5728\u4e16\u754ctokens\u3002World-Conditioned Action Denoiser\u5b9e\u73b0\u4e3aDiT&#xff08;Diffusion Transformer&#xff09;&#xff0c;\u5b83\u57fa\u4e8e\u6f5c\u5728\u4e0a\u4e0b\u6587\u548c\u9884\u6d4b\u7684\u672a\u6765\u4e16\u754c\u5bf9\u52a8\u4f5ctokens\u8fdb\u884c\u53bb\u566a\u3002<\/p>\n<p>\u8bbe\u6761\u4ef6tokens c\u5305\u542b\u81ea\u8f66\u72b6\u6001\u548c\u9ad8\u7ea7\u52a8\u4f5c\u6216\u8def\u7ebftokens\u3002Action Denoiser\u989d\u5916\u63a5\u6536\u89d2\u8272\u7279\u5b9a\u67e5\u8be2&#xff0c;\u6307\u793a\u5b83\u662f\u751f\u6210\u521d\u59cb\u63d0\u8bae\u8fd8\u662f\u4f7f\u7528\u9884\u6d4b\u5668\u63a8\u6f14\u6765\u7ec6\u5316\u52a8\u4f5c\u3002DAWN\u6267\u884c\u4ee5\u4e0b\u9012\u5f52\u8fc7\u7a0b&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          a<\/p>\n<p>           1<\/p>\n<p>           :<\/p>\n<p>           H<\/p>\n<p>           (<\/p>\n<p>           0<\/p>\n<p>           )<\/p>\n<p>         &#061;<\/p>\n<p>          G<\/p>\n<p>          \u03d5<\/p>\n<p>         (<\/p>\n<p>          q<\/p>\n<p>           p<\/p>\n<p>           r<\/p>\n<p>           o<\/p>\n<p>           p<\/p>\n<p>         ,<\/p>\n<p>         c<\/p>\n<p>         ,<\/p>\n<p>         z<\/p>\n<p>         )<\/p>\n<p>         a_{1:H}^{(0)}&#061;G_{\\\\phi}(q_{\\\\mathrm{prop}},c,z) <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.3383em;vertical-align: -0.2935em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">a<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4065em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><span class=\"mrel mtight\">:<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0813em\">H<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">0<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2935em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.0361em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">G<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">\u03d5<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">q<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">prop<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">c<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.044em\">z<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          z<\/p>\n<p>           f<\/p>\n<p>           u<\/p>\n<p>           t<\/p>\n<p>           u<\/p>\n<p>           r<\/p>\n<p>           e<\/p>\n<p>           (<\/p>\n<p>           r<\/p>\n<p>           )<\/p>\n<p>         &#061;<\/p>\n<p>          P<\/p>\n<p>          \u03b8<\/p>\n<p>         (<\/p>\n<p>         z<\/p>\n<p>         ,<\/p>\n<p>         c<\/p>\n<p>         ,<\/p>\n<p>          a<\/p>\n<p>           1<\/p>\n<p>           :<\/p>\n<p>           H<\/p>\n<p>           (<\/p>\n<p>           r<\/p>\n<p>           )<\/p>\n<p>         )<\/p>\n<p>         z_{\\\\mathrm{future}}^{(r)}&#061;P_{\\\\theta}(z,c,a_{1:H}^{(r)}) <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.3461em;vertical-align: -0.3013em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.044em\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.3987em;margin-left: -0.044em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">future<\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">r<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3013em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.3383em;vertical-align: -0.2935em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">\u03b8<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.044em\">z<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">c<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">a<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4065em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><span class=\"mrel mtight\">:<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0813em\">H<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">r<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2935em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          a<\/p>\n<p>           1<\/p>\n<p>           :<\/p>\n<p>           H<\/p>\n<p>           (<\/p>\n<p>           r<\/p>\n<p>           &#043;<\/p>\n<p>           1<\/p>\n<p>           )<\/p>\n<p>         &#061;<\/p>\n<p>          G<\/p>\n<p>          \u03d5<\/p>\n<p>         (<\/p>\n<p>          q<\/p>\n<p>           r<\/p>\n<p>           e<\/p>\n<p>           f<\/p>\n<p>           (<\/p>\n<p>           r<\/p>\n<p>           )<\/p>\n<p>         ,<\/p>\n<p>         c<\/p>\n<p>         ,<\/p>\n<p>          z<\/p>\n<p>           f<\/p>\n<p>           u<\/p>\n<p>           t<\/p>\n<p>           u<\/p>\n<p>           r<\/p>\n<p>           e<\/p>\n<p>           (<\/p>\n<p>           r<\/p>\n<p>           )<\/p>\n<p>         ,<\/p>\n<p>          a<\/p>\n<p>           1<\/p>\n<p>           :<\/p>\n<p>           H<\/p>\n<p>           (<\/p>\n<p>           r<\/p>\n<p>           )<\/p>\n<p>         )<\/p>\n<p>         a_{1:H}^{(r&#043;1)} &#061;G_{\\\\phi}(q_{\\\\mathrm{ref}}^{(r)},c,z_{\\\\mathrm{future}}^{(r)},a_{1:H}^{(r)}) <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.3383em;vertical-align: -0.2935em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">a<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4065em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><span class=\"mrel mtight\">:<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0813em\">H<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">r<\/span><span class=\"mbin mtight\">&#043;<\/span><span class=\"mord mtight\">1<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2935em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.3461em;vertical-align: -0.3013em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">G<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">\u03d5<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">q<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.3987em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\" style=\"margin-right: 0.0778em\">ref<\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">r<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3013em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">c<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.044em\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.3987em;margin-left: -0.044em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">future<\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">r<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3013em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">a<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4065em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><span class=\"mrel mtight\">:<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0813em\">H<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">r<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2935em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u8fd9\u91cc\u7684\u5173\u952e\u8bbe\u8ba1\u662f&#xff1a;<\/p>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>          q<\/p>\n<p>           p<\/p>\n<p>           r<\/p>\n<p>           o<\/p>\n<p>           p<\/p>\n<p>        q_{\\\\mathrm{prop}}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7167em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">q<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">prop<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u548c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          q<\/p>\n<p>           r<\/p>\n<p>           e<\/p>\n<p>           f<\/p>\n<p>           (<\/p>\n<p>           r<\/p>\n<p>           )<\/p>\n<p>        q_{\\\\mathrm{ref}}^{(r)}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.3461em;vertical-align: -0.3013em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">q<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.3987em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\" style=\"margin-right: 0.0778em\">ref<\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">r<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3013em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u662f\u89d2\u8272\u7279\u5b9a\u7684\u67e5\u8be2\u5d4c\u5165&#xff0c;\u7528\u4e8e\u63d0\u8bae\u751f\u6210\u548c\u7ec6\u5316<\/li>\n<li>\u53bb\u566a\u5668\u6743\u91cd\u5728\u4e24\u4e2a\u89d2\u8272\u4e4b\u95f4\u5171\u4eab&#xff0c;\u4ec5\u8f93\u5165\u6e90\u548c\u67e5\u8be2\u5d4c\u5165\u4e0d\u540c<\/li>\n<li>\u9884\u6d4b\u7684\u672a\u6765\u4e16\u754c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>          z<\/p>\n<p>           f<\/p>\n<p>           u<\/p>\n<p>           t<\/p>\n<p>           u<\/p>\n<p>           r<\/p>\n<p>           e<\/p>\n<p>           (<\/p>\n<p>           r<\/p>\n<p>           )<\/p>\n<p>        z_{\\\\mathrm{future}}^{(r)}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.3461em;vertical-align: -0.3013em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.044em\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.3987em;margin-left: -0.044em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">future<\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">r<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3013em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u6761\u4ef6\u52a8\u4f5c\u53bb\u566a<\/li>\n<li>\u53bb\u566a\u7684\u52a8\u4f5c\u5047\u8bbe <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>          a<\/p>\n<p>           1<\/p>\n<p>           :<\/p>\n<p>           H<\/p>\n<p>           (<\/p>\n<p>           r<\/p>\n<p>           )<\/p>\n<p>        a_{1:H}^{(r)}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.3383em;vertical-align: -0.2935em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">a<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4065em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><span class=\"mrel mtight\">:<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0813em\">H<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">r<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2935em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u88ab\u53cd\u9988\u4ee5\u66f4\u65b0\u4e16\u754c\u9884\u6d4b<\/li>\n<p>\u8fd9\u79cd\u8bbe\u8ba1\u7684\u6df1\u523b\u4e4b\u5904\u5728\u4e8e&#xff1a;\u5b83\u5728\u8bad\u7ec3\u548c\u63a8\u7406\u65f6\u90fd\u4fdd\u6301\u76f8\u540c\u7684\u4ea4\u4e92\u6a21\u5f0f\u3002\u5728\u8bad\u7ec3\u9636\u6bb5&#xff0c;\u6a21\u578b\u5b66\u4e60\u4e24\u4e2a\u89d2\u8272&#xff1a;\u9996\u5148\u4eceresampler\u6f5c\u5728\u4e0a\u4e0b\u6587\u751f\u6210\u521d\u59cb\u63d0\u8bae&#xff0c;\u7136\u540e\u57fa\u4e8e\u9884\u6d4b\u5668\u63a8\u6f14\u7ec6\u5316\u52a8\u4f5c\u3002\u4e0d\u540c\u7684\u67e5\u8be2\u548c\u6e90\u5d4c\u5165\u6307\u5b9a\u53bb\u566a\u5668\u5f53\u524d\u64cd\u4f5c\u7684\u662f\u63d0\u8bae\u8fd8\u662f\u4ea4\u4e92\u5f0f\u7ec6\u5316\u89d2\u8272\u3002<\/p>\n<p>\u4ee3\u7801\u5b9e\u73b0\u4e2d&#xff0c;World Predictor\u4f7f\u752812\u5c42Transformer&#xff0c;\u5d4c\u5165\u7ef4\u5ea6384&#xff0c;12\u4e2a\u6ce8\u610f\u529b\u5934&#xff0c;RoPE\u4f4d\u7f6e\u7f16\u7801&#xff0c;\u4ee5\u53ca\u6fc0\u6d3b\u68c0\u67e5\u70b9\u4ee5\u8282\u7701\u5185\u5b58\u3002Action Denoiser\u91c7\u7528DiT-style\u9aa8\u5e72&#xff0c;\u9690\u85cf\u7ef4\u5ea6384&#xff0c;12\u5c42&#xff0c;12\u4e2a\u6ce8\u610f\u529b\u5934&#xff0c;MLP\u6bd4\u73874.0\u3002\u4e0e\u521d\u59cb\u6269\u6563\u89c4\u5212\u5668\u5757\u76f8\u6bd4&#xff0c;DiT\u5757\u66f4\u7d27\u5bc6\u5730\u9075\u5faa\u539f\u59cbadaLN-Zero\u8bbe\u8ba1&#xff1a;\u65f6\u95f4\u6b65\/\u72b6\u6001\u6761\u4ef6\u5411\u91cf\u4e0d\u4ec5\u8c03\u5236\u81ea\u6ce8\u610f\u529b\u548cMLP\u5206\u652f&#xff0c;\u8fd8\u8c03\u5236\u4ea4\u53c9\u6ce8\u610f\u529b\u5206\u652f\u5230\u6f5c\u5728\u4e16\u754ctokens\u3002<\/p>\n<p>VisionTransformerPredictorAC\u5728forward\u91cc\u663e\u5f0f\u63a5\u6536\u89c6\u89c9tokens\u3001\u52a8\u4f5c\u3001\u72b6\u6001\u548c\u53ef\u9009\u5916\u53c2&#xff1b;\u8fd9\u5bf9\u5e94\u8bba\u6587\u4e2d\u7684 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         P<\/p>\n<p>         \u03b8<\/p>\n<p>        (<\/p>\n<p>        z<\/p>\n<p>        ,<\/p>\n<p>        c<\/p>\n<p>        ,<\/p>\n<p>        a<\/p>\n<p>        )<\/p>\n<p>       P_{\\\\theta}(z,c,a)<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">\u03b8<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.044em\">z<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">c<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">a<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>\u3002DiffusionPlanner.forward\u63a5\u6536\u9884\u6d4b\u5668\u8f93\u51fa\u7684 z_ar \u548c\u81ea\u8f66\u72b6\u6001 status_feature&#xff0c;\u8fd9\u5bf9\u5e94\u4e16\u754c\u6761\u4ef6\u52a8\u4f5c\u53bb\u566a\u5668\u3002<\/p>\n<p>\u6765\u6e90&#xff1a;DAWN\/src\/models\/ac_predictor.py<\/p>\n<p>        <span class=\"token comment\"># Fwd prop<\/span><br \/>\n        <span class=\"token keyword\">for<\/span> i<span class=\"token punctuation\">,<\/span> blk <span class=\"token keyword\">in<\/span> <span class=\"token builtin\">enumerate<\/span><span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">.<\/span>predictor_blocks<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> self<span class=\"token punctuation\">.<\/span>use_activation_checkpointing<span class=\"token punctuation\">:<\/span><br \/>\n                x <span class=\"token operator\">&#061;<\/span> torch<span class=\"token punctuation\">.<\/span>utils<span class=\"token punctuation\">.<\/span>checkpoint<span class=\"token punctuation\">.<\/span>checkpoint<span class=\"token punctuation\">(<\/span><br \/>\n                    blk<span class=\"token punctuation\">,<\/span><br \/>\n                    x<span class=\"token punctuation\">,<\/span><br \/>\n                    mask<span class=\"token operator\">&#061;<\/span><span class=\"token boolean\">None<\/span><span class=\"token punctuation\">,<\/span><br \/>\n                    attn_mask<span class=\"token operator\">&#061;<\/span>attn_mask<span class=\"token punctuation\">,<\/span><br \/>\n                    T<span class=\"token operator\">&#061;<\/span>T<span class=\"token punctuation\">,<\/span><br \/>\n                    H<span class=\"token operator\">&#061;<\/span>self<span class=\"token punctuation\">.<\/span>grid_height<span class=\"token punctuation\">,<\/span><br \/>\n                    W<span class=\"token operator\">&#061;<\/span>self<span class=\"token punctuation\">.<\/span>grid_width<span class=\"token punctuation\">,<\/span><br \/>\n                    action_tokens<span class=\"token operator\">&#061;<\/span>cond_tokens<span class=\"token punctuation\">,<\/span><br \/>\n                    use_reentrant<span class=\"token operator\">&#061;<\/span><span class=\"token boolean\">False<\/span><span class=\"token punctuation\">,<\/span><br \/>\n                <span class=\"token punctuation\">)<\/span><br \/>\n            <span class=\"token keyword\">else<\/span><span class=\"token punctuation\">:<\/span><br \/>\n                x <span class=\"token operator\">&#061;<\/span> blk<span class=\"token punctuation\">(<\/span><br \/>\n                    x<span class=\"token punctuation\">,<\/span><br \/>\n                    mask<span class=\"token operator\">&#061;<\/span><span class=\"token boolean\">None<\/span><span class=\"token punctuation\">,<\/span><br \/>\n                    attn_mask<span class=\"token operator\">&#061;<\/span>attn_mask<span class=\"token punctuation\">,<\/span><br \/>\n                    T<span class=\"token operator\">&#061;<\/span>T<span class=\"token punctuation\">,<\/span><br \/>\n                    H<span class=\"token operator\">&#061;<\/span>self<span class=\"token punctuation\">.<\/span>grid_height<span class=\"token punctuation\">,<\/span><br \/>\n                    W<span class=\"token operator\">&#061;<\/span>self<span class=\"token punctuation\">.<\/span>grid_width<span class=\"token punctuation\">,<\/span><br \/>\n                    action_tokens<span class=\"token operator\">&#061;<\/span>cond_tokens<span class=\"token punctuation\">,<\/span><br \/>\n                <span class=\"token punctuation\">)<\/span><\/p>\n<p>        <span class=\"token comment\"># Split out action and frame tokens<\/span><br \/>\n        x <span class=\"token operator\">&#061;<\/span> x<span class=\"token punctuation\">.<\/span>view<span class=\"token punctuation\">(<\/span>B<span class=\"token punctuation\">,<\/span> T<span class=\"token punctuation\">,<\/span> cond_tokens <span class=\"token operator\">&#043;<\/span> self<span class=\"token punctuation\">.<\/span>grid_height <span class=\"token operator\">*<\/span> self<span class=\"token punctuation\">.<\/span>grid_width<span class=\"token punctuation\">,<\/span> D<span class=\"token punctuation\">)<\/span>  <span class=\"token comment\"># [B, T, K&#043;H*W, D]<\/span><br \/>\n        x <span class=\"token operator\">&#061;<\/span> x<span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">:<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">:<\/span><span class=\"token punctuation\">,<\/span> cond_tokens<span class=\"token punctuation\">:<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">:<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>flatten<span class=\"token punctuation\">(<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>        x <span class=\"token operator\">&#061;<\/span> self<span class=\"token punctuation\">.<\/span>predictor_norm<span class=\"token punctuation\">(<\/span>x<span class=\"token punctuation\">)<\/span><br \/>\n        x <span class=\"token operator\">&#061;<\/span> self<span class=\"token punctuation\">.<\/span>predictor_proj<span class=\"token punctuation\">(<\/span>x<span class=\"token punctuation\">)<\/span><\/p>\n<p>        <span class=\"token keyword\">return<\/span> x<\/p>\n<p>\u6765\u6e90&#xff1a;DAWN\/app\/vjepa_cowa_world_model\/models\/diffusion_planner.py<\/p>\n<p>    <span class=\"token keyword\">def<\/span> <span class=\"token function\">forward<\/span><span class=\"token punctuation\">(<\/span><br \/>\n        self<span class=\"token punctuation\">,<\/span><br \/>\n        z_ar<span class=\"token punctuation\">:<\/span> torch<span class=\"token punctuation\">.<\/span>Tensor<span class=\"token punctuation\">,<\/span><br \/>\n        status_feature<span class=\"token punctuation\">:<\/span> torch<span class=\"token punctuation\">.<\/span>Tensor<span class=\"token punctuation\">,<\/span><br \/>\n        z_context<span class=\"token punctuation\">:<\/span> Optional<span class=\"token punctuation\">[<\/span>torch<span class=\"token punctuation\">.<\/span>Tensor<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">None<\/span><span class=\"token punctuation\">,<\/span><br \/>\n        z_observed<span class=\"token punctuation\">:<\/span> Optional<span class=\"token punctuation\">[<\/span>torch<span class=\"token punctuation\">.<\/span>Tensor<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">None<\/span><span class=\"token punctuation\">,<\/span><br \/>\n        action_history<span class=\"token punctuation\">:<\/span> Optional<span class=\"token punctuation\">[<\/span>torch<span class=\"token punctuation\">.<\/span>Tensor<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">None<\/span><span class=\"token punctuation\">,<\/span><br \/>\n        gt_trajectory<span class=\"token punctuation\">:<\/span> Optional<span class=\"token punctuation\">[<\/span>torch<span class=\"token punctuation\">.<\/span>Tensor<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">None<\/span><span class=\"token punctuation\">,<\/span><br \/>\n        anchor_state<span class=\"token punctuation\">:<\/span> Optional<span class=\"token punctuation\">[<\/span>torch<span class=\"token punctuation\">.<\/span>Tensor<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">None<\/span><span class=\"token punctuation\">,<\/span><br \/>\n    <span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token operator\">&gt;<\/span> Dict<span class=\"token punctuation\">[<\/span><span class=\"token builtin\">str<\/span><span class=\"token punctuation\">,<\/span> torch<span class=\"token punctuation\">.<\/span>Tensor<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token triple-quoted-string string\">&#034;&#034;&#034;<br \/>\n        Forward pass.<\/p>\n<p>        Args:<br \/>\n            z_ar: [B, T*P, encoder_dim] \u2014 predictor output tokens<br \/>\n            status_feature: [B, status_dim] \u2014 ego status<br \/>\n            z_context: [B, P, encoder_dim] \u2014 optional first-frame encoder tokens<br \/>\n            z_observed: [B, T_obs*P, encoder_dim] \u2014 optional observed-frame encoder tokens<br \/>\n            action_history: [B, T_obs, action_history_dim] \u2014 optional observed history tokens<br \/>\n            gt_trajectory: [B, num_poses, 6] \u2014 ground truth in 6-dim format<br \/>\n                           (x, y, vx, vy, cos_yaw, sin_yaw). Only needed for training.<br \/>\n            anchor_state: [B, 6] or [B, 1, 6] \u2014 current ego state for anchor frame.<br \/>\n                          Only used when &#096;&#096;use_anchor_frame&#061;True&#096;&#096;. If *None*, a<br \/>\n                          default zero-origin anchor is used.<\/p>\n<p>        Returns:<br \/>\n            Training: {&#034;loss&#034;, &#034;reg_loss&#034;, &#034;conf_loss&#034;, &#034;cover_loss&#034;}<br \/>\n            Inference: {&#034;trajectories&#034;: [B, K, num_poses, 3], &#034;confidences&#034;: [B, K]}<br \/>\n        &#034;&#034;&#034;<\/span><br \/>\n        <span class=\"token comment\"># Prepare conditioning<\/span><br \/>\n        context_tokens <span class=\"token operator\">&#061;<\/span> self<span class=\"token punctuation\">.<\/span>_prepare_context<span class=\"token punctuation\">(<\/span>z_ar<span class=\"token punctuation\">,<\/span> z_context<span class=\"token punctuation\">,<\/span> z_observed<span class=\"token punctuation\">,<\/span> action_history<span class=\"token punctuation\">)<\/span>  <span class=\"token comment\"># [B, N, hidden_dim]<\/span><br \/>\n        status_emb <span class=\"token operator\">&#061;<\/span> self<span class=\"token punctuation\">.<\/span>_prepare_status<span class=\"token punctuation\">(<\/span>status_feature<span class=\"token punctuation\">)<\/span>  <span class=\"token comment\"># [B, hidden_dim]<\/span><\/p>\n<p>        <span class=\"token keyword\">if<\/span> gt_trajectory <span class=\"token keyword\">is<\/span> <span class=\"token keyword\">not<\/span> <span class=\"token boolean\">None<\/span> <span class=\"token keyword\">and<\/span> self<span class=\"token punctuation\">.<\/span>training<span class=\"token punctuation\">:<\/span><br \/>\n            <span class=\"token keyword\">return<\/span> self<span class=\"token punctuation\">.<\/span>_training_forward<span class=\"token punctuation\">(<\/span>context_tokens<span class=\"token punctuation\">,<\/span> status_emb<span class=\"token punctuation\">,<\/span> gt_trajectory<span class=\"token punctuation\">,<\/span> anchor_state<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token keyword\">else<\/span><span class=\"token punctuation\">:<\/span><br \/>\n            <span class=\"token keyword\">return<\/span> self<span class=\"token punctuation\">.<\/span>_inference_forward<span class=\"token punctuation\">(<\/span>context_tokens<span class=\"token punctuation\">,<\/span> status_emb<span class=\"token punctuation\">,<\/span> anchor_state<span class=\"token punctuation\">)<\/span><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260905142529-6a9c2659b8c09.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<h3>4. \u8bad\u7ec3\u6d41\u7a0b&#xff1a;\u56db\u9636\u6bb5\u6e10\u8fdb\u5f0f\u5b66\u4e60\u7b56\u7565<\/h3>\n<h4>4.1 \u9636\u6bb5\u4e00&#xff1a;\u5927\u89c4\u6a21\u89c6\u89c9\u9884\u8bad\u7ec3<\/h4>\n<p>DAWN\u91c7\u7528\u56db\u9636\u6bb5\u8bad\u7ec3\u7b56\u7565&#xff0c;\u6bcf\u4e2a\u9636\u6bb5\u90fd\u6709\u660e\u786e\u7684\u5b66\u4e60\u76ee\u6807\u3002\u7b2c\u4e00\u9636\u6bb5\u5728\u5927\u89c4\u6a21\u9a7e\u9a76\u89c6\u9891\u6570\u636e\u4e0a\u9884\u8bad\u7ec3Student Vision-Encoder&#xff0c;\u5305\u62ecOpenScene\u3001DrivingDojo\u548cCoVLA\u7b49\u6570\u636e\u96c6\u3002\u6240\u6709\u6570\u636e\u96c6\u88ab\u8f6c\u6362\u4e3a\u7edf\u4e00\u7684\u89c6\u9891\u683c\u5f0f&#xff0c;\u4f7f\u7528\u6ed1\u52a8\u7a97\u53e3\u91c7\u6837\u3002<\/p>\n<p>\u9884\u8bad\u7ec3\u5728256\u00d7512\u5206\u8fa8\u7387\u548c2Hz\u5e27\u7387\u4e0b\u8fdb\u884c\u3002\u8fd9\u4e00\u9636\u6bb5\u7684\u5173\u952e\u662f\u5efa\u7acb\u5f3a\u5927\u7684\u89c6\u89c9\u5148\u9a8c&#xff0c;\u4f7f\u7f16\u7801\u5668\u80fd\u591f\u4ece\u539f\u59cb\u50cf\u7d20\u4e2d\u63d0\u53d6\u9a7e\u9a76\u573a\u666f\u7684\u8bed\u4e49\u4fe1\u606f\u3002\u9884\u8bad\u7ec3\u76ee\u6807\u901a\u5e38\u662f\u89c6\u9891\u7ea7\u522b\u7684\u81ea\u76d1\u7763\u4efb\u52a1&#xff0c;\u5982V-JEPA\u4e2d\u7684masked prediction&#xff0c;\u4f7f\u6a21\u578b\u5b66\u4e60\u573a\u666f\u7684\u65f6\u7a7a\u7ed3\u6784\u548c\u52a8\u6001\u7279\u6027\u3002<\/p>\n<p>\u8fd9\u4e00\u9636\u6bb5\u53ef\u4ee5\u6982\u62ec\u4e3a&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         u<\/p>\n<p>         &#061;<\/p>\n<p>          E<\/p>\n<p>           s<\/p>\n<p>           t<\/p>\n<p>           u<\/p>\n<p>         (<\/p>\n<p>         o<\/p>\n<p>         )<\/p>\n<p>         ,<\/p>\n<p>          L<\/p>\n<p>           s<\/p>\n<p>           s<\/p>\n<p>           l<\/p>\n<p>         &#061;<\/p>\n<p>          \u2113<\/p>\n<p>           s<\/p>\n<p>           s<\/p>\n<p>           l<\/p>\n<p>         (<\/p>\n<p>         u<\/p>\n<p>         ,<\/p>\n<p>          m<\/p>\n<p>          a<\/p>\n<p>          s<\/p>\n<p>          k<\/p>\n<p>          e<\/p>\n<p>          d<\/p>\n<p>          \u00a0<\/p>\n<p>          t<\/p>\n<p>          a<\/p>\n<p>          r<\/p>\n<p>          g<\/p>\n<p>          e<\/p>\n<p>          t<\/p>\n<p>          s<\/p>\n<p>         )<\/p>\n<p>         u&#061;E_{\\\\mathrm{stu}}(o),\\\\qquad \\\\mathcal{L}_{\\\\mathrm{ssl}}&#061;\\\\ell_{\\\\mathrm{ssl}}(u,\\\\mathrm{masked\\\\ targets}) <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">u<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">E<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0576em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">stu<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">o<\/span><span class=\"mclose\">)<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 2em\"><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathcal\">L<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">ssl<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord\">\u2113<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">ssl<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">u<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathrm\">masked<\/span><span class=\"mspace\">\u00a0<\/span><span class=\"mord mathrm\">targets<\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>Student Encoder\u901a\u8fc7\u81ea\u76d1\u7763\u635f\u5931\u66f4\u65b0&#xff0c;Teacher Encoder\u901a\u8fc7EMA\u540c\u6b65&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          E<\/p>\n<p>           t<\/p>\n<p>           e<\/p>\n<p>           a<\/p>\n<p>         \u2190<\/p>\n<p>          E<\/p>\n<p>          M<\/p>\n<p>          A<\/p>\n<p>         (<\/p>\n<p>          E<\/p>\n<p>           s<\/p>\n<p>           t<\/p>\n<p>           u<\/p>\n<p>         ,<\/p>\n<p>          E<\/p>\n<p>           t<\/p>\n<p>           e<\/p>\n<p>           a<\/p>\n<p>         )<\/p>\n<p>         E_{\\\\mathrm{tea}}\\\\leftarrow \\\\mathrm{EMA}(E_{\\\\mathrm{stu}},E_{\\\\mathrm{tea}}) <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">E<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0576em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">tea<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2190<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathrm\">EMA<\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">E<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0576em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">stu<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">E<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0576em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">tea<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u8fd9\u4e00\u9636\u6bb5\u7684\u8bad\u7ec3\u6570\u636e\u89c4\u6a21\u901a\u5e38\u8fbe\u5230\u6570\u767e\u4e07\u751a\u81f3\u4e0a\u5343\u4e07\u89c6\u9891\u7247\u6bb5&#xff0c;\u786e\u4fdd\u7f16\u7801\u5668\u80fd\u591f\u6cdb\u5316\u5230\u5404\u79cd\u9a7e\u9a76\u573a\u666f\u3001\u5929\u6c14\u6761\u4ef6\u548c\u5149\u7167\u53d8\u5316\u3002<\/p>\n<p>DAWN\/app\/vjepa_cowa_world_model\/training\/models.py<\/p>\n<p><span class=\"token keyword\">def<\/span> <span class=\"token function\">init_encoder<\/span><span class=\"token punctuation\">(<\/span><br \/>\n    config<span class=\"token punctuation\">:<\/span> TrainingConfig<span class=\"token punctuation\">,<\/span><br \/>\n    device<span class=\"token punctuation\">:<\/span> torch<span class=\"token punctuation\">.<\/span>device<span class=\"token punctuation\">,<\/span><br \/>\n<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token operator\">&gt;<\/span> Tuple<span class=\"token punctuation\">[<\/span>nn<span class=\"token punctuation\">.<\/span>Module<span class=\"token punctuation\">,<\/span> nn<span class=\"token punctuation\">.<\/span>Module<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token triple-quoted-string string\">&#034;&#034;&#034;<br \/>\n    \u521d\u59cb\u5316 encoder \u548c target_encoder<\/p>\n<p>    \u6839\u636e config.model.backbone \u9009\u62e9 V-JEPA 2 \u6216 V-JEPA 2.1 \u7f16\u7801\u5668\u3002<\/p>\n<p>    Args:<br \/>\n        config: \u8bad\u7ec3\u914d\u7f6e<br \/>\n        device: \u8bbe\u5907<\/p>\n<p>    Returns:<br \/>\n        Tuple[nn.Module, nn.Module]: (encoder, target_encoder)<br \/>\n    &#034;&#034;&#034;<\/span><br \/>\n    encoder <span class=\"token operator\">&#061;<\/span> init_context_encoder<span class=\"token punctuation\">(<\/span>config<span class=\"token punctuation\">,<\/span> device<span class=\"token punctuation\">)<\/span><\/p>\n<p>    target_encoder <span class=\"token operator\">&#061;<\/span> copy<span class=\"token punctuation\">.<\/span>deepcopy<span class=\"token punctuation\">(<\/span>encoder<span class=\"token punctuation\">)<\/span><br \/>\n    logger<span class=\"token punctuation\">.<\/span>info<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;end init encoder&#034;<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token comment\"># \u6253\u5370\u53c2\u6570\u91cf&#xff08;\u4ec5\u4e3b\u8fdb\u7a0b&#xff09;<\/span><br \/>\n    encoder_params <span class=\"token operator\">&#061;<\/span> <span class=\"token builtin\">sum<\/span><span class=\"token punctuation\">(<\/span>p<span class=\"token punctuation\">.<\/span>numel<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">for<\/span> p <span class=\"token keyword\">in<\/span> encoder<span class=\"token punctuation\">.<\/span>parameters<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    target_encoder_params <span class=\"token operator\">&#061;<\/span> <span class=\"token builtin\">sum<\/span><span class=\"token punctuation\">(<\/span>p<span class=\"token punctuation\">.<\/span>numel<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">for<\/span> p <span class=\"token keyword\">in<\/span> target_encoder<span class=\"token punctuation\">.<\/span>parameters<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> _is_main_process<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        logger<span class=\"token punctuation\">.<\/span>info<span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;init encoder_params: <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>encoder_params <span class=\"token operator\">\/<\/span> <span class=\"token number\">1e6<\/span><span class=\"token punctuation\">:<\/span><span class=\"token format-spec\">&gt;8.2f<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">M&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><br \/>\n        logger<span class=\"token punctuation\">.<\/span>info<span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;init target_encoder_params: <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>target_encoder_params <span class=\"token operator\">\/<\/span> <span class=\"token number\">1e6<\/span><span class=\"token punctuation\">:<\/span><span class=\"token format-spec\">&gt;8.2f<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">M&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token keyword\">return<\/span> encoder<span class=\"token punctuation\">,<\/span> target_encoder<\/p>\n<p>DAWN\/app\/vjepa_cowa_world_model\/training\/ema.py<\/p>\n<p>    <span class=\"token decorator annotation punctuation\">&#064;torch<span class=\"token punctuation\">.<\/span>no_grad<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">def<\/span> <span class=\"token function\">update_ema<\/span><span class=\"token punctuation\">(<\/span>m<span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">float<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token operator\">&gt;<\/span> <span class=\"token boolean\">None<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token triple-quoted-string string\">&#034;&#034;&#034;<br \/>\n        \u4f7f\u7528\u52a8\u6001 momentum \u66f4\u65b0 target encoder \u7684\u53c2\u6570<br \/>\n        \u91c7\u7528\u9ad8\u6548\u7684\u539f\u5730\u64cd\u4f5c\u65b9\u5f0f<\/p>\n<p>        Args:<br \/>\n            m: \u5f53\u524d\u7684 momentum \u503c (\u4ece momentum_scheduler \u83b7\u53d6)<br \/>\n        &#034;&#034;&#034;<\/span><br \/>\n        <span class=\"token comment\"># \u6536\u96c6\u6240\u6709\u53c2\u6570<\/span><br \/>\n        params_k <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><br \/>\n        params_q <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><br \/>\n        <span class=\"token keyword\">for<\/span> param_q<span class=\"token punctuation\">,<\/span> param_k <span class=\"token keyword\">in<\/span> <span class=\"token builtin\">zip<\/span><span class=\"token punctuation\">(<\/span>encoder<span class=\"token punctuation\">.<\/span>parameters<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> target_encoder<span class=\"token punctuation\">.<\/span>parameters<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n            params_k<span class=\"token punctuation\">.<\/span>append<span class=\"token punctuation\">(<\/span>param_k<span class=\"token punctuation\">)<\/span><br \/>\n            params_q<span class=\"token punctuation\">.<\/span>append<span class=\"token punctuation\">(<\/span>param_q<span class=\"token punctuation\">)<\/span><\/p>\n<p>        <span class=\"token comment\"># \u9ad8\u6548\u7684\u539f\u5730\u64cd\u4f5c<\/span><br \/>\n        torch<span class=\"token punctuation\">.<\/span>_foreach_mul_<span class=\"token punctuation\">(<\/span>params_k<span class=\"token punctuation\">,<\/span> m<span class=\"token punctuation\">)<\/span><br \/>\n        torch<span class=\"token punctuation\">.<\/span>_foreach_add_<span class=\"token punctuation\">(<\/span>params_k<span class=\"token punctuation\">,<\/span> params_q<span class=\"token punctuation\">,<\/span> alpha<span class=\"token operator\">&#061;<\/span><span class=\"token number\">1<\/span> <span class=\"token operator\">&#8211;<\/span> m<span class=\"token punctuation\">)<\/span><\/p>\n<h4>4.2 \u9636\u6bb5\u4e8c&#xff1a;Token\u7a7a\u95f4\u74f6\u9888\u5b66\u4e60<\/h4>\n<p>\u7b2c\u4e8c\u9636\u6bb5\u5728\u76f8\u540c\u7684\u9884\u8bad\u7ec3\u8bed\u6599\u4e0a\u8bad\u7ec3Auto-Encoder Resampler\u3002\u8fd9\u4e2a\u9636\u6bb5\u4ece\u9884\u8bad\u7ec3\u7684\u7f16\u7801\u5668\u5f00\u59cb&#xff0c;\u5b66\u4e60\u4e00\u4e2a\u7d27\u51d1\u7684token\u7a7a\u95f4\u74f6\u9888&#xff0c;\u5c06\u5bc6\u96c6\u89c6\u89c9tokens\u538b\u7f29\u4e3a\u6f5c\u5728\u4e16\u754ctokens&#xff0c;\u540c\u65f6\u4fdd\u7559\u672a\u6765\u9884\u6d4b\u548c\u52a8\u4f5c\u751f\u6210\u6240\u9700\u7684\u4fe1\u606f\u3002<\/p>\n<p>\u5173\u952e\u521b\u65b0\u662f\u540c\u65f6\u8bad\u7ec3\u4e00\u4e2a\u8f85\u52a9\u6269\u6563\u89c4\u5212\u5668\u5934&#xff0c;\u4e0eAction Denoiser\u4f7f\u7528\u76f8\u540c\u7684DiT-style\u914d\u7f6e\u3002\u8fd9\u4e2a\u8f85\u52a9\u5934\u9f13\u52b1\u538b\u7f29tokens\u4fdd\u7559\u52a8\u4f5c\u76f8\u5173\u4fe1\u606f&#xff0c;\u786e\u4fdd\u74f6\u9888\u8868\u793a\u4e0d\u4ec5\u9002\u5408\u4e16\u754c\u5efa\u6a21&#xff0c;\u66f4\u9002\u5408\u4e0b\u6e38\u89c4\u5212\u4efb\u52a1\u3002<\/p>\n<p>\u8fd9\u4e00\u9636\u6bb5\u53ef\u4ee5\u6982\u62ec\u4e3a&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         u<\/p>\n<p>         &#061;<\/p>\n<p>          E<\/p>\n<p>           s<\/p>\n<p>           t<\/p>\n<p>           u<\/p>\n<p>         (<\/p>\n<p>         o<\/p>\n<p>         )<\/p>\n<p>         ,<\/p>\n<p>         z<\/p>\n<p>         &#061;<\/p>\n<p>          R<\/p>\n<p>           s<\/p>\n<p>           t<\/p>\n<p>           u<\/p>\n<p>         (<\/p>\n<p>         u<\/p>\n<p>         )<\/p>\n<p>         u&#061;E_{\\\\mathrm{stu}}(o),\\\\qquad z&#061;R_{\\\\mathrm{stu}}(u) <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">u<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">E<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0576em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">stu<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">o<\/span><span class=\"mclose\">)<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 2em\"><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.044em\">z<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0077em\">R<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0077em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">stu<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">u<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          u<\/p>\n<p>          ^<\/p>\n<p>         &#061;<\/p>\n<p>          R<\/p>\n<p>           s<\/p>\n<p>           t<\/p>\n<p>           u<\/p>\n<p>           d<\/p>\n<p>           e<\/p>\n<p>           c<\/p>\n<p>         (<\/p>\n<p>         z<\/p>\n<p>         )<\/p>\n<p>         ,<\/p>\n<p>          L<\/p>\n<p>           r<\/p>\n<p>           e<\/p>\n<p>           c<\/p>\n<p>         &#061;<\/p>\n<p>          \u2113<\/p>\n<p>           r<\/p>\n<p>           e<\/p>\n<p>           c<\/p>\n<p>         (<\/p>\n<p>          u<\/p>\n<p>          ^<\/p>\n<p>         ,<\/p>\n<p>         u<\/p>\n<p>         )<\/p>\n<p>         \\\\hat{u}&#061;R_{\\\\mathrm{stu}}^{\\\\mathrm{dec}}(z),\\\\qquad \\\\mathcal{L}_{\\\\mathrm{rec}}&#061;\\\\ell_{\\\\mathrm{rec}}(\\\\hat{u},u) <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span class=\"mord accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.6944em\"><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord mathnormal\">u<\/span><\/span><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"accent-body\" style=\"left: -0.2222em\"><span class=\"mord\">^<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.1491em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0077em\">R<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8991em\"><span class=\"\" style=\"top: -2.453em;margin-left: -0.0077em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">stu<\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">dec<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.247em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.044em\">z<\/span><span class=\"mclose\">)<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 2em\"><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathcal\">L<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">rec<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord\">\u2113<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">rec<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.6944em\"><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord mathnormal\">u<\/span><\/span><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"accent-body\" style=\"left: -0.2222em\"><span class=\"mord\">^<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">u<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u4e3a\u4e86\u8ba9\u538b\u7f29\u540e\u7684tokens\u4fdd\u7559\u52a8\u4f5c\u76f8\u5173\u4fe1\u606f&#xff0c;\u8fd8\u5f15\u5165\u8f85\u52a9\u89c4\u5212\u635f\u5931&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          L<\/p>\n<p>           A<\/p>\n<p>           E<\/p>\n<p>         &#061;<\/p>\n<p>          L<\/p>\n<p>           r<\/p>\n<p>           e<\/p>\n<p>           c<\/p>\n<p>         &#043;<\/p>\n<p>          L<\/p>\n<p>           a<\/p>\n<p>           u<\/p>\n<p>           x<\/p>\n<p>           _<\/p>\n<p>           a<\/p>\n<p>           c<\/p>\n<p>           t<\/p>\n<p>         \\\\mathcal{L}_{\\\\mathrm{AE}}&#061;\\\\mathcal{L}_{\\\\mathrm{rec}}&#043;\\\\mathcal{L}_{\\\\mathrm{aux\\\\_act}} <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathcal\">L<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">AE<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathcal\">L<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">rec<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.0503em;vertical-align: -0.367em\"><\/span><span class=\"mord\"><span class=\"mord mathcal\">L<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">aux_act<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.367em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u8fd9\u4e00\u8bbe\u8ba1\u7684\u6df1\u523b\u4e4b\u5904\u5728\u4e8e&#xff1a;\u5b83\u4e0d\u662f\u7b80\u5355\u7684\u964d\u7ef4&#xff0c;\u800c\u662f\u5b66\u4e60\u4e00\u4e2a\u4efb\u52a1\u7279\u5b9a\u7684\u538b\u7f29&#xff0c;\u4f7f\u5f97\u7d27\u51d1\u8868\u793a\u65e2\u80fd\u652f\u6301\u672a\u6765\u4e16\u754c\u63a8\u6f14&#xff0c;\u53c8\u80fd\u652f\u6301\u52a8\u4f5c\u89c4\u5212\u3002<\/p>\n<p>DAWN\/app\/vjepa_cowa_world_model\/training\/models.py<\/p>\n<p><span class=\"token keyword\">def<\/span> <span class=\"token function\">prepare_runtime_tokens<\/span><span class=\"token punctuation\">(<\/span><br \/>\n    tokens<span class=\"token punctuation\">:<\/span> torch<span class=\"token punctuation\">.<\/span>Tensor<span class=\"token punctuation\">,<\/span><br \/>\n    num_frames<span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">int<\/span><span class=\"token punctuation\">,<\/span><br \/>\n    normalize_reps<span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">bool<\/span><span class=\"token punctuation\">,<\/span><br \/>\n    token_ae<span class=\"token punctuation\">:<\/span> Optional<span class=\"token punctuation\">[<\/span>nn<span class=\"token punctuation\">.<\/span>Module<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">None<\/span><span class=\"token punctuation\">,<\/span><br \/>\n<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token operator\">&gt;<\/span> torch<span class=\"token punctuation\">.<\/span>Tensor<span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token triple-quoted-string string\">&#034;&#034;&#034;Compress per-frame tokens with TokenAE if present, then apply runtime normalization.&#034;&#034;&#034;<\/span><br \/>\n    input_dtype <span class=\"token operator\">&#061;<\/span> tokens<span class=\"token punctuation\">.<\/span>dtype<br \/>\n    <span class=\"token keyword\">if<\/span> token_ae <span class=\"token keyword\">is<\/span> <span class=\"token keyword\">not<\/span> <span class=\"token boolean\">None<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        ae_tokens_per_frame <span class=\"token operator\">&#061;<\/span> <span class=\"token builtin\">int<\/span><span class=\"token punctuation\">(<\/span><span class=\"token builtin\">getattr<\/span><span class=\"token punctuation\">(<\/span>token_ae<span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#034;tokens_per_frame&#034;<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        expected_tokens <span class=\"token operator\">&#061;<\/span> <span class=\"token builtin\">int<\/span><span class=\"token punctuation\">(<\/span>num_frames<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">*<\/span> ae_tokens_per_frame<br \/>\n        <span class=\"token keyword\">if<\/span> tokens<span class=\"token punctuation\">.<\/span>size<span class=\"token punctuation\">(<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">!&#061;<\/span> expected_tokens<span class=\"token punctuation\">:<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> tokens<span class=\"token punctuation\">.<\/span>size<span class=\"token punctuation\">(<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">%<\/span> ae_tokens_per_frame <span class=\"token operator\">!&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">:<\/span><br \/>\n                <span class=\"token keyword\">raise<\/span> ValueError<span class=\"token punctuation\">(<\/span><br \/>\n                    <span class=\"token string\">&#034;Cannot infer TokenAE frame count: &#034;<\/span><br \/>\n                    <span class=\"token string-interpolation\"><span class=\"token string\">f&#034;tokens&#061;<\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>tokens<span class=\"token punctuation\">.<\/span>size<span class=\"token punctuation\">(<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">, num_frames&#061;<\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>num_frames<span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">, &#034;<\/span><\/span><br \/>\n                    <span class=\"token string-interpolation\"><span class=\"token string\">f&#034;ae_tokens_per_frame&#061;<\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>ae_tokens_per_frame<span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">&#034;<\/span><\/span><br \/>\n                <span class=\"token punctuation\">)<\/span><br \/>\n            num_frames <span class=\"token operator\">&#061;<\/span> tokens<span class=\"token punctuation\">.<\/span>size<span class=\"token punctuation\">(<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">\/\/<\/span> ae_tokens_per_frame<br \/>\n        token_ae_parameters <span class=\"token operator\">&#061;<\/span> <span class=\"token builtin\">getattr<\/span><span class=\"token punctuation\">(<\/span>token_ae<span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#034;parameters&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token boolean\">None<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        ae_param <span class=\"token operator\">&#061;<\/span> <span class=\"token builtin\">next<\/span><span class=\"token punctuation\">(<\/span>token_ae_parameters<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token boolean\">None<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">if<\/span> <span class=\"token builtin\">callable<\/span><span class=\"token punctuation\">(<\/span>token_ae_parameters<span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">else<\/span> <span class=\"token boolean\">None<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> ae_param <span class=\"token keyword\">is<\/span> <span class=\"token keyword\">not<\/span> <span class=\"token boolean\">None<\/span> <span class=\"token keyword\">and<\/span> tokens<span class=\"token punctuation\">.<\/span>is_floating_point<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">and<\/span> tokens<span class=\"token punctuation\">.<\/span>dtype <span class=\"token operator\">!&#061;<\/span> ae_param<span class=\"token punctuation\">.<\/span>dtype<span class=\"token punctuation\">:<\/span><br \/>\n            tokens <span class=\"token operator\">&#061;<\/span> tokens<span class=\"token punctuation\">.<\/span>to<span class=\"token punctuation\">(<\/span>dtype<span class=\"token operator\">&#061;<\/span>ae_param<span class=\"token punctuation\">.<\/span>dtype<span class=\"token punctuation\">)<\/span><br \/>\n        tokens <span class=\"token operator\">&#061;<\/span> token_ae<span class=\"token punctuation\">.<\/span>encode<span class=\"token punctuation\">(<\/span>tokens<span class=\"token punctuation\">,<\/span> num_frames<span class=\"token operator\">&#061;<\/span>num_frames<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> tokens<span class=\"token punctuation\">.<\/span>is_floating_point<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">and<\/span> tokens<span class=\"token punctuation\">.<\/span>dtype <span class=\"token operator\">!&#061;<\/span> input_dtype<span class=\"token punctuation\">:<\/span><br \/>\n            tokens <span class=\"token operator\">&#061;<\/span> tokens<span class=\"token punctuation\">.<\/span>to<span class=\"token punctuation\">(<\/span>dtype<span class=\"token operator\">&#061;<\/span>input_dtype<span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> normalize_reps<span class=\"token punctuation\">:<\/span><\/p>\n<h4>4.3 \u9636\u6bb5\u4e09&#xff1a;World Predictor\u8bad\u7ec3<\/h4>\n<p>\u7b2c\u4e09\u9636\u6bb5\u5728\u4e0b\u6e38\u4efb\u52a1\u6570\u636e\u96c6\u5982nuScenes\u548cNAVSIM\u4e0a\u8bad\u7ec3World Predictor\u3002\u6b64\u9636\u6bb5&#xff0c;\u9884\u6d4b\u5668\u5b66\u4e60\u4ece\u9884\u8bad\u7ec3\u7f16\u7801\u5668\u548cresampler\u4ea7\u751f\u7684\u7d27\u51d1\u6f5c\u5728\u4e0a\u4e0b\u6587\u4e2d\u63a8\u6f14\u4efb\u52a1\u76f8\u5173\u7684\u672a\u6765\u6f5c\u5728\u4e16\u754c\u72b6\u6001\u3002<\/p>\n<p>World Predictor\u88ab\u8bbe\u8ba1\u4e3a\u56e0\u679cTransformer&#xff0c;\u80fd\u591f\u81ea\u56de\u5f52\u5730\u751f\u6210\u672a\u6765\u7684\u6f5c\u5728tokens\u5e8f\u5217\u3002\u8bad\u7ec3\u76ee\u6807\u662f\u6700\u5c0f\u5316\u9884\u6d4b\u7684\u672a\u6765\u6f5c\u5728\u8868\u793a\u4e0eTeacher\u5206\u652f\u751f\u6210\u7684\u76ee\u6807\u4e4b\u95f4\u7684\u8ddd\u79bb&#xff1a;<\/p>\n<p>\u8fd9\u4e00\u9636\u6bb5\u53ef\u4ee5\u6982\u62ec\u4e3a&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         z<\/p>\n<p>         &#061;<\/p>\n<p>          R<\/p>\n<p>           s<\/p>\n<p>           t<\/p>\n<p>           u<\/p>\n<p>         (<\/p>\n<p>          E<\/p>\n<p>           s<\/p>\n<p>           t<\/p>\n<p>           u<\/p>\n<p>         (<\/p>\n<p>         o<\/p>\n<p>         )<\/p>\n<p>         )<\/p>\n<p>         ,<\/p>\n<p>          z<\/p>\n<p>           t<\/p>\n<p>           a<\/p>\n<p>           r<\/p>\n<p>           g<\/p>\n<p>           e<\/p>\n<p>           t<\/p>\n<p>         &#061;<\/p>\n<p>          R<\/p>\n<p>           t<\/p>\n<p>           e<\/p>\n<p>           a<\/p>\n<p>         (<\/p>\n<p>          E<\/p>\n<p>           t<\/p>\n<p>           e<\/p>\n<p>           a<\/p>\n<p>         (<\/p>\n<p>          o<\/p>\n<p>           f<\/p>\n<p>           u<\/p>\n<p>           t<\/p>\n<p>           u<\/p>\n<p>           r<\/p>\n<p>           e<\/p>\n<p>         )<\/p>\n<p>         )<\/p>\n<p>         z&#061;R_{\\\\mathrm{stu}}(E_{\\\\mathrm{stu}}(o)),\\\\qquad z_{\\\\mathrm{target}}&#061;R_{\\\\mathrm{tea}}(E_{\\\\mathrm{tea}}(o_{\\\\mathrm{future}})) <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.044em\">z<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.0361em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0077em\">R<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0077em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">stu<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">E<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0576em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">stu<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">o<\/span><span class=\"mclose\">))<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 2em\"><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.044em\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.044em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">target<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0077em\">R<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0077em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">tea<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">E<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0576em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">tea<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">o<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">future<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">))<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           z<\/p>\n<p>           ^<\/p>\n<p>           f<\/p>\n<p>           u<\/p>\n<p>           t<\/p>\n<p>           u<\/p>\n<p>           r<\/p>\n<p>           e<\/p>\n<p>         &#061;<\/p>\n<p>          P<\/p>\n<p>          \u03b8<\/p>\n<p>         (<\/p>\n<p>         z<\/p>\n<p>         ,<\/p>\n<p>         c<\/p>\n<p>         )<\/p>\n<p>         ,<\/p>\n<p>          L<\/p>\n<p>           W<\/p>\n<p>           M<\/p>\n<p>         &#061;<\/p>\n<p>         d<\/p>\n<p>         (<\/p>\n<p>           z<\/p>\n<p>           ^<\/p>\n<p>           f<\/p>\n<p>           u<\/p>\n<p>           t<\/p>\n<p>           u<\/p>\n<p>           r<\/p>\n<p>           e<\/p>\n<p>         ,<\/p>\n<p>          z<\/p>\n<p>           t<\/p>\n<p>           a<\/p>\n<p>           r<\/p>\n<p>           g<\/p>\n<p>           e<\/p>\n<p>           t<\/p>\n<p>         )<\/p>\n<p>         \\\\hat{z}_{\\\\mathrm{future}}&#061;P_{\\\\theta}(z,c),\\\\qquad \\\\mathcal{L}_{\\\\mathrm{WM}}&#061;d(\\\\hat{z}_{\\\\mathrm{future}},z_{\\\\mathrm{target}}) <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8444em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.6944em\"><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.044em\">z<\/span><\/span><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"accent-body\" style=\"left: -0.1944em\"><span class=\"mord\">^<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.044em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">future<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">\u03b8<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.044em\">z<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">c<\/span><span class=\"mclose\">)<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 2em\"><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathcal\">L<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">WM<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.0361em;vertical-align: -0.2861em\"><\/span><span class=\"mord mathnormal\">d<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.6944em\"><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.044em\">z<\/span><\/span><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"accent-body\" style=\"left: -0.1944em\"><span class=\"mord\">^<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.044em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">future<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.044em\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.044em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">target<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u8fd9\u4e00\u9636\u6bb5\u7684\u5173\u952e\u662f\u4f7f\u9884\u6d4b\u5668\u5b66\u4e60\u9a7e\u9a76\u573a\u666f\u7684\u52a8\u6001\u6f14\u5316\u89c4\u5f8b&#xff0c;\u5305\u62ec\u5176\u4ed6\u8f66\u8f86\u7684\u8fd0\u52a8\u6a21\u5f0f\u3001\u4ea4\u901a\u89c4\u5219\u7684\u9690\u5f0f\u7ea6\u675f&#xff0c;\u4ee5\u53ca\u573a\u666f\u51e0\u4f55\u7684\u65f6\u7a7a\u53d8\u5316\u3002<\/p>\n<p>DAWN\/app\/vjepa_cowa_world_model\/training\/predictor_loss.py<\/p>\n<p>    observed_steps <span class=\"token operator\">&#061;<\/span> <span class=\"token builtin\">int<\/span><span class=\"token punctuation\">(<\/span>num_observed_steps<span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">if<\/span> num_observed_steps <span class=\"token keyword\">is<\/span> <span class=\"token keyword\">not<\/span> <span class=\"token boolean\">None<\/span> <span class=\"token keyword\">else<\/span> config<span class=\"token punctuation\">.<\/span>train<span class=\"token punctuation\">.<\/span>num_observed_frames<\/p>\n<p>    <span class=\"token keyword\">if<\/span> <span class=\"token builtin\">bool<\/span><span class=\"token punctuation\">(<\/span><span class=\"token builtin\">getattr<\/span><span class=\"token punctuation\">(<\/span>config<span class=\"token punctuation\">.<\/span>train<span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#034;use_parallel_predictor&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token boolean\">False<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        future_start_step <span class=\"token operator\">&#061;<\/span> observed_steps <span class=\"token keyword\">if<\/span> config<span class=\"token punctuation\">.<\/span>train<span class=\"token punctuation\">.<\/span>predictor_inference_consistent <span class=\"token keyword\">else<\/span> <span class=\"token number\">1<\/span><br \/>\n        future_offset <span class=\"token operator\">&#061;<\/span> future_start_step <span class=\"token operator\">*<\/span> tokens_per_frame<br \/>\n        jloss <span class=\"token operator\">&#061;<\/span> loss_fn<span class=\"token punctuation\">(<\/span><br \/>\n            z_tf<span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">:<\/span><span class=\"token punctuation\">,<\/span> future_offset<span class=\"token punctuation\">:<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span><br \/>\n            h_target<span class=\"token punctuation\">,<\/span><br \/>\n            offset<span class=\"token operator\">&#061;<\/span>future_offset<span class=\"token punctuation\">,<\/span><br \/>\n        <span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> config<span class=\"token punctuation\">.<\/span>train<span class=\"token punctuation\">.<\/span>predictor_use_z_ar_supervision<span class=\"token punctuation\">:<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> z_ar <span class=\"token keyword\">is<\/span> <span class=\"token boolean\">None<\/span><span class=\"token punctuation\">:<\/span><br \/>\n                <span class=\"token keyword\">raise<\/span> ValueError<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;z_ar must be provided when predictor_use_z_ar_supervision&#061;True&#034;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n            sloss <span class=\"token operator\">&#061;<\/span> loss_fn<span class=\"token punctuation\">(<\/span>z_ar<span class=\"token punctuation\">,<\/span> h_target<span class=\"token punctuation\">,<\/span> offset<span class=\"token operator\">&#061;<\/span>future_offset<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token keyword\">else<\/span><span class=\"token punctuation\">:<\/span><br \/>\n            sloss <span class=\"token operator\">&#061;<\/span> jloss <span class=\"token operator\">*<\/span> <span class=\"token number\">0.0<\/span><br \/>\n        jepa_loss <span class=\"token operator\">&#061;<\/span> jloss <span class=\"token operator\">&#043;<\/span> sloss<br \/>\n        <span class=\"token keyword\">return<\/span> jepa_loss<span class=\"token punctuation\">,<\/span> jloss<span class=\"token punctuation\">,<\/span> sloss<\/p>\n<h4>4.4 \u9636\u6bb5\u56db&#xff1a;\u8054\u5408\u4e16\u754c-\u52a8\u4f5c\u8bad\u7ec3<\/h4>\n<p>\u6700\u540e\u9636\u6bb5\u4ece\u9636\u6bb5\u4e09\u521d\u59cb\u5316World Predictor&#xff0c;\u9644\u52a0World-Conditioned Action Denoiser\u548cAction Head&#xff0c;\u5728\u76ee\u6807\u6570\u636e\u96c6\u4e0a\u8054\u5408\u8bad\u7ec3\u4e16\u754c\u548c\u52a8\u4f5c\u5206\u652f\u3002\u8fd9\u662fWAIM\u8303\u5f0f\u5b9e\u73b0\u7684\u5173\u952e\u9636\u6bb5\u3002<\/p>\n<p>\u5728\u6b64\u9636\u6bb5&#xff0c;\u9884\u6d4b\u5668\u548c\u52a8\u4f5c\u53bb\u566a\u5668\u540c\u65f6\u4f18\u5316\u3002Action Denoiser\u5728\u4e24\u4e2a\u89d2\u8272\u4e0b\u8bad\u7ec3&#xff0c;\u6743\u91cd\u5171\u4eab&#xff1a;\u9996\u5148\u4eceresampler\u6f5c\u5728\u4e0a\u4e0b\u6587\u751f\u6210\u521d\u59cb\u63d0\u8bae&#xff0c;\u7136\u540e\u57fa\u4e8e\u9884\u6d4b\u5668\u63a8\u6f14\u7ec6\u5316\u52a8\u4f5c\u3002\u4e0d\u540c\u7684\u67e5\u8be2\u548c\u6e90\u5d4c\u5165\u6307\u5b9a\u53bb\u566a\u5668\u5f53\u524d\u64cd\u4f5c\u7684\u89d2\u8272\u3002<\/p>\n<p>\u8fd9\u4e00\u9636\u6bb5\u53ef\u4ee5\u6982\u62ec\u4e3a&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         z<\/p>\n<p>         &#061;<\/p>\n<p>          R<\/p>\n<p>           s<\/p>\n<p>           t<\/p>\n<p>           u<\/p>\n<p>         (<\/p>\n<p>          E<\/p>\n<p>           s<\/p>\n<p>           t<\/p>\n<p>           u<\/p>\n<p>         (<\/p>\n<p>         o<\/p>\n<p>         )<\/p>\n<p>         )<\/p>\n<p>         ,<\/p>\n<p>          z<\/p>\n<p>           t<\/p>\n<p>           a<\/p>\n<p>           r<\/p>\n<p>           g<\/p>\n<p>           e<\/p>\n<p>           t<\/p>\n<p>         &#061;<\/p>\n<p>          R<\/p>\n<p>           t<\/p>\n<p>           e<\/p>\n<p>           a<\/p>\n<p>         (<\/p>\n<p>          E<\/p>\n<p>           t<\/p>\n<p>           e<\/p>\n<p>           a<\/p>\n<p>         (<\/p>\n<p>          o<\/p>\n<p>           f<\/p>\n<p>           u<\/p>\n<p>           t<\/p>\n<p>           u<\/p>\n<p>           r<\/p>\n<p>           e<\/p>\n<p>         )<\/p>\n<p>         )<\/p>\n<p>         z&#061;R_{\\\\mathrm{stu}}(E_{\\\\mathrm{stu}}(o)),\\\\qquad z_{\\\\mathrm{target}}&#061;R_{\\\\mathrm{tea}}(E_{\\\\mathrm{tea}}(o_{\\\\mathrm{future}})) <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.044em\">z<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.0361em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0077em\">R<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0077em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">stu<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">E<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0576em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">stu<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">o<\/span><span class=\"mclose\">))<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 2em\"><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.044em\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.044em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">target<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0077em\">R<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0077em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">tea<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">E<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0576em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">tea<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">o<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">future<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">))<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          a<\/p>\n<p>           1<\/p>\n<p>           :<\/p>\n<p>           H<\/p>\n<p>           (<\/p>\n<p>           0<\/p>\n<p>           )<\/p>\n<p>         &#061;<\/p>\n<p>          G<\/p>\n<p>          \u03d5<\/p>\n<p>         (<\/p>\n<p>          q<\/p>\n<p>           p<\/p>\n<p>           r<\/p>\n<p>           o<\/p>\n<p>           p<\/p>\n<p>         ,<\/p>\n<p>         c<\/p>\n<p>         ,<\/p>\n<p>         z<\/p>\n<p>         )<\/p>\n<p>         a_{1:H}^{(0)}&#061;G_{\\\\phi}(q_{\\\\mathrm{prop}},c,z) <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.3383em;vertical-align: -0.2935em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">a<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4065em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><span class=\"mrel mtight\">:<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0813em\">H<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mtight\">0<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2935em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.0361em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">G<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">\u03d5<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">q<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">prop<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">c<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.044em\">z<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u7b2c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        r<\/p>\n<p>       r<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">r<\/span><\/span><\/span><\/span><\/span> \u8f6e\u9012\u5f52\u4ea4\u4e92\u4e3a&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          z<\/p>\n<p>           f<\/p>\n<p>           u<\/p>\n<p>           t<\/p>\n<p>           u<\/p>\n<p>           r<\/p>\n<p>           e<\/p>\n<p>           (<\/p>\n<p>           r<\/p>\n<p>           )<\/p>\n<p>         &#061;<\/p>\n<p>          P<\/p>\n<p>          \u03b8<\/p>\n<p>         (<\/p>\n<p>         z<\/p>\n<p>         ,<\/p>\n<p>         c<\/p>\n<p>         ,<\/p>\n<p>          a<\/p>\n<p>           1<\/p>\n<p>           :<\/p>\n<p>           H<\/p>\n<p>           (<\/p>\n<p>           r<\/p>\n<p>           )<\/p>\n<p>         )<\/p>\n<p>         z_{\\\\mathrm{future}}^{(r)}&#061;P_{\\\\theta}(z,c,a_{1:H}^{(r)}) <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.3461em;vertical-align: -0.3013em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.044em\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.3987em;margin-left: -0.044em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">future<\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">r<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3013em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.3383em;vertical-align: -0.2935em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">\u03b8<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.044em\">z<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">c<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">a<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4065em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><span class=\"mrel mtight\">:<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0813em\">H<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">r<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2935em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          a<\/p>\n<p>           1<\/p>\n<p>           :<\/p>\n<p>           H<\/p>\n<p>           (<\/p>\n<p>           r<\/p>\n<p>           &#043;<\/p>\n<p>           1<\/p>\n<p>           )<\/p>\n<p>         &#061;<\/p>\n<p>          G<\/p>\n<p>          \u03d5<\/p>\n<p>         (<\/p>\n<p>          q<\/p>\n<p>           r<\/p>\n<p>           e<\/p>\n<p>           f<\/p>\n<p>           (<\/p>\n<p>           r<\/p>\n<p>           )<\/p>\n<p>         ,<\/p>\n<p>         c<\/p>\n<p>         ,<\/p>\n<p>          z<\/p>\n<p>           f<\/p>\n<p>           u<\/p>\n<p>           t<\/p>\n<p>           u<\/p>\n<p>           r<\/p>\n<p>           e<\/p>\n<p>           (<\/p>\n<p>           r<\/p>\n<p>           )<\/p>\n<p>         ,<\/p>\n<p>          a<\/p>\n<p>           1<\/p>\n<p>           :<\/p>\n<p>           H<\/p>\n<p>           (<\/p>\n<p>           r<\/p>\n<p>           )<\/p>\n<p>         )<\/p>\n<p>         a_{1:H}^{(r&#043;1)} &#061;G_{\\\\phi}(q_{\\\\mathrm{ref}}^{(r)},c,z_{\\\\mathrm{future}}^{(r)},a_{1:H}^{(r)}) <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.3383em;vertical-align: -0.2935em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">a<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4065em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><span class=\"mrel mtight\">:<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0813em\">H<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">r<\/span><span class=\"mbin mtight\">&#043;<\/span><span class=\"mord mtight\">1<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2935em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.3461em;vertical-align: -0.3013em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">G<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">\u03d5<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">q<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.3987em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\" style=\"margin-right: 0.0778em\">ref<\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">r<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3013em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">c<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.044em\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.3987em;margin-left: -0.044em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">future<\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">r<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3013em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">a<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4065em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><span class=\"mrel mtight\">:<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0813em\">H<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">r<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2935em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u6700\u7ec8\u8f68\u8ff9\u548c\u8054\u5408\u635f\u5931\u4e3a&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          \u03c4<\/p>\n<p>          ^<\/p>\n<p>         &#061;<\/p>\n<p>          H<\/p>\n<p>           a<\/p>\n<p>           c<\/p>\n<p>           t<\/p>\n<p>         (<\/p>\n<p>          a<\/p>\n<p>           1<\/p>\n<p>           :<\/p>\n<p>           H<\/p>\n<p>           (<\/p>\n<p>           R<\/p>\n<p>           )<\/p>\n<p>         )<\/p>\n<p>         \\\\hat{\\\\tau}&#061;H_{\\\\mathrm{act}}(a_{1:H}^{(R)}) <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span class=\"mord accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.6944em\"><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><\/span><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"accent-body\" style=\"left: -0.2222em\"><span class=\"mord\">^<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.3383em;vertical-align: -0.2935em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0813em\">H<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0813em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">act<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">a<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4065em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><span class=\"mrel mtight\">:<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0813em\">H<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0077em\">R<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2935em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          L<\/p>\n<p>           t<\/p>\n<p>           o<\/p>\n<p>           t<\/p>\n<p>           a<\/p>\n<p>           l<\/p>\n<p>         &#061;<\/p>\n<p>          L<\/p>\n<p>           W<\/p>\n<p>           M<\/p>\n<p>         &#043;<\/p>\n<p>          L<\/p>\n<p>           p<\/p>\n<p>           l<\/p>\n<p>           a<\/p>\n<p>           n<\/p>\n<p>         \\\\mathcal{L}_{\\\\mathrm{total}} &#061;\\\\mathcal{L}_{\\\\mathrm{WM}}&#043;\\\\mathcal{L}_{\\\\mathrm{plan}} <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathcal\">L<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">total<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathcal\">L<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">WM<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.9694em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathcal\">L<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">plan<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u8bad\u7ec3\u65b9\u6848\u7684\u6838\u5fc3\u5728\u4e8e&#xff1a;\u6a21\u578b\u4e0d\u4ec5\u5b66\u4e60\u9884\u6d4b\u672a\u6765\u4e16\u754c\u548c\u751f\u6210\u52a8\u4f5c&#xff0c;\u66f4\u91cd\u8981\u7684\u662f\u5b66\u4e60\u5982\u4f55\u8ba9\u8fd9\u4e24\u4e2a\u8fc7\u7a0b\u901a\u8fc7\u9012\u5f52\u4ea4\u4e92\u76f8\u4e92\u589e\u5f3a\u3002<\/p>\n<p>DAWN\/app\/vjepa_cowa_world_model\/training\/models.py<\/p>\n<p>    token_ae_enabled <span class=\"token operator\">&#061;<\/span> <span class=\"token builtin\">bool<\/span><span class=\"token punctuation\">(<\/span><span class=\"token builtin\">getattr<\/span><span class=\"token punctuation\">(<\/span>config<span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#034;token_ae&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token boolean\">None<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">and<\/span> config<span class=\"token punctuation\">.<\/span>token_ae<span class=\"token punctuation\">.<\/span>enabled<span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> token_ae_enabled<span class=\"token punctuation\">:<\/span><br \/>\n        effective_tokens_per_frame <span class=\"token operator\">&#061;<\/span> resolve_effective_tokens_per_frame<span class=\"token punctuation\">(<\/span>config<span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">else<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        effective_tokens_per_frame <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span><br \/>\n            <span class=\"token builtin\">int<\/span><span class=\"token punctuation\">(<\/span>raw_tokens_per_frame_override<span class=\"token punctuation\">)<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> raw_tokens_per_frame_override <span class=\"token keyword\">is<\/span> <span class=\"token keyword\">not<\/span> <span class=\"token boolean\">None<\/span><br \/>\n            <span class=\"token keyword\">else<\/span> resolve_effective_tokens_per_frame<span class=\"token punctuation\">(<\/span>config<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">)<\/span><br \/>\n    runtime_normalize_reps <span class=\"token operator\">&#061;<\/span> resolve_predictor_runtime_normalize_reps<span class=\"token punctuation\">(<\/span>config<span class=\"token punctuation\">)<\/span><br \/>\n    token_ae <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">None<\/span><\/p>\n<p>    <span class=\"token keyword\">if<\/span> token_ae_enabled<span class=\"token punctuation\">:<\/span><br \/>\n        token_ae<span class=\"token punctuation\">,<\/span> runtime_normalize_reps <span class=\"token operator\">&#061;<\/span> load_frozen_token_ae<span class=\"token punctuation\">(<\/span><br \/>\n            config<span class=\"token punctuation\">,<\/span><br \/>\n            device<span class=\"token operator\">&#061;<\/span>device<span class=\"token punctuation\">,<\/span><br \/>\n            encoder_embed_dim<span class=\"token operator\">&#061;<\/span>encoder_embed_dim<span class=\"token punctuation\">,<\/span><br \/>\n            tokens_per_frame<span class=\"token operator\">&#061;<\/span>raw_tokens_per_frame<span class=\"token punctuation\">,<\/span><br \/>\n            normalize_reps<span class=\"token operator\">&#061;<\/span>runtime_normalize_reps<span class=\"token punctuation\">,<\/span><br \/>\n            dtype<span class=\"token operator\">&#061;<\/span>config<span class=\"token punctuation\">.<\/span>dtype<span class=\"token punctuation\">,<\/span><br \/>\n        <span class=\"token punctuation\">)<\/span><br \/>\n        predictor <span class=\"token operator\">&#061;<\/span> init_predictor_for_ae<span class=\"token punctuation\">(<\/span><br \/>\n            config<span class=\"token punctuation\">,<\/span><br \/>\n            device<span class=\"token operator\">&#061;<\/span>device<span class=\"token punctuation\">,<\/span><br \/>\n            encoder_embed_dim<span class=\"token operator\">&#061;<\/span>encoder_embed_dim<span class=\"token punctuation\">,<\/span><br \/>\n            num_latent_tokens<span class=\"token operator\">&#061;<\/span>effective_tokens_per_frame<span class=\"token punctuation\">,<\/span><br \/>\n            latent_grid_size<span class=\"token operator\">&#061;<\/span><span class=\"token builtin\">getattr<\/span><span class=\"token punctuation\">(<\/span>token_ae<span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#034;latent_grid_size&#034;<\/span><span class=\"token punctuation\">,<\/span> config<span class=\"token punctuation\">.<\/span>token_ae<span class=\"token punctuation\">.<\/span>latent_grid_size<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span><br \/>\n        <span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">else<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        predictor <span class=\"token operator\">&#061;<\/span> init_predictor<span class=\"token punctuation\">(<\/span><br \/>\n            config<span class=\"token punctuation\">,<\/span><br \/>\n            device<span class=\"token punctuation\">,<\/span><br \/>\n            encoder_embed_dim<span class=\"token punctuation\">,<\/span><br \/>\n            predictor_img_size_override<span class=\"token operator\">&#061;<\/span>predictor_img_size_override<span class=\"token punctuation\">,<\/span><br \/>\n        <span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span 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