{"id":57013,"date":"2025-08-15T07:10:14","date_gmt":"2025-08-14T23:10:14","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/57013.html"},"modified":"2025-08-15T07:10:14","modified_gmt":"2025-08-14T23:10:14","slug":"%e5%9f%ba%e4%ba%8e%e7%b2%92%e5%ad%90%e7%be%a4%e7%ae%97%e6%b3%95%e4%bc%98%e5%8c%96%e9%95%bf%e7%9f%ad%e6%9c%9f%e8%ae%b0%e5%bf%86%e7%bd%91%e7%bb%9clstm%e7%9a%84%e9%a3%8e%e7%94%b5%e5%9c%ba%e5%8f%91","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/57013.html","title":{"rendered":"\u57fa\u4e8e\u7c92\u5b50\u7fa4\u7b97\u6cd5\u4f18\u5316\u957f\u77ed\u671f\u8bb0\u5fc6\u7f51\u7edcLSTM\u7684\u98ce\u7535\u573a\u53d1\u7535\u529f\u7387\u9884\u6d4b"},"content":{"rendered":"<h2>\u57fa\u4e8e\u7c92\u5b50\u7fa4\u7b97\u6cd5\u4f18\u5316\u957f\u77ed\u671f\u8bb0\u5fc6\u7f51\u7edcLSTM\u7684\u98ce\u7535\u573a\u53d1\u7535\u529f\u7387\u9884\u6d4b<\/h2>\n<\/p>\n<h4>\u6587\u7ae0\u76ee\u5f55<\/h4>\n<ul>\n<li>\u57fa\u4e8e\u7c92\u5b50\u7fa4\u7b97\u6cd5\u4f18\u5316\u957f\u77ed\u671f\u8bb0\u5fc6\u7f51\u7edcLSTM\u7684\u98ce\u7535\u573a\u53d1\u7535\u529f\u7387\u9884\u6d4b<\/li>\n<li>\n<ul>\n<li>1.LSTM\u539f\u7406<\/li>\n<li>2.\u98ce\u7535\u529f\u7387\u9884\u6d4b<\/li>\n<li>2.1 \u6570\u636e\u96c6<\/li>\n<li>3.\u57fa\u4e8e\u7c92\u5b50\u7fa4\u7b97\u6cd5\u4f18\u5316\u7684LSTM<\/li>\n<li>4.\u5b9e\u9a8c\u7ed3\u679c<\/li>\n<li>5.Matlab\u4ee3\u7801<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h3>1.LSTM\u539f\u7406<\/h3>\n<p>LSTM \u6a21\u578b\u4e3b\u8981\u5f15\u5165\u4e86&#034;\u95e8&#034;\u7684\u673a\u5236&#xff0c;\u5176\u4e2d\u5305\u542b\u4e09\u4e2a\u95e8&#xff1a;\u9057\u5fd8\u95e8\u3001\u8f93\u5165\u95e8\u548c\u8f93\u51fa\u95e8\u3002\u901a\u8fc7\u8fd9\u4e9b\u95e8\u7684\u7ec4\u5408&#xff0c;LSTM \u80fd \u591f\u5728\u5e8f\u5217\u4e2d\u6709\u6548\u5730\u5b58\u50a8\u548c\u68c0\u7d22\u4fe1\u606f&#xff0c;\u4ece\u800c\u66f4\u597d\u5730\u6355\u6349\u957f\u671f\u4f9d\u8d56\u5173\u7cfb\u3002\u5176\u7ed3\u6784\u5982\u56fe 1 \u6240\u793a\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250814231009-689e6cd1ece6c.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p> \u56fe 1 LSTM \u6a21\u578b\u7684\u7f51\u7edc\u7ed3\u6784 <\/p>\n<p>\u5f53\u524d\u72b6\u6001\u4e0e\u4e0a\u4e00\u65f6\u523b\u72b6\u6001\u5173\u7cfb\u4e3a<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>              f<\/p>\n<p>              t<\/p>\n<p>             &#061;<\/p>\n<p>             \u03c3<\/p>\n<p>              (<\/p>\n<p>               W<\/p>\n<p>               f<\/p>\n<p>              \u2219<\/p>\n<p>               [<\/p>\n<p>                h<\/p>\n<p>                 t<\/p>\n<p>                 \u2212<\/p>\n<p>                 1<\/p>\n<p>               ,<\/p>\n<p>                x<\/p>\n<p>                t<\/p>\n<p>               ]<\/p>\n<p>              &#043;<\/p>\n<p>               b<\/p>\n<p>               f<\/p>\n<p>              )<\/p>\n<p>              i<\/p>\n<p>              t<\/p>\n<p>             &#061;<\/p>\n<p>             \u03c3<\/p>\n<p>              (<\/p>\n<p>               W<\/p>\n<p>               i<\/p>\n<p>              \u2219<\/p>\n<p>               [<\/p>\n<p>                h<\/p>\n<p>                 t<\/p>\n<p>                 \u2212<\/p>\n<p>                 1<\/p>\n<p>               ,<\/p>\n<p>                x<\/p>\n<p>                t<\/p>\n<p>               ]<\/p>\n<p>              &#043;<\/p>\n<p>               b<\/p>\n<p>               i<\/p>\n<p>              )<\/p>\n<p>               C<\/p>\n<p>               ~<\/p>\n<p>              t<\/p>\n<p>             &#061;<\/p>\n<p>             tanh<\/p>\n<p>             \u2061<\/p>\n<p>              (<\/p>\n<p>               W<\/p>\n<p>               c<\/p>\n<p>              \u2219<\/p>\n<p>               [<\/p>\n<p>                h<\/p>\n<p>                 t<\/p>\n<p>                 \u2212<\/p>\n<p>                 1<\/p>\n<p>               ,<\/p>\n<p>                x<\/p>\n<p>                t<\/p>\n<p>               ]<\/p>\n<p>              &#043;<\/p>\n<p>               b<\/p>\n<p>               c<\/p>\n<p>              )<\/p>\n<p>              o<\/p>\n<p>              t<\/p>\n<p>             &#061;<\/p>\n<p>             \u03c3<\/p>\n<p>              (<\/p>\n<p>               W<\/p>\n<p>               o<\/p>\n<p>              \u2219<\/p>\n<p>               [<\/p>\n<p>                h<\/p>\n<p>                 t<\/p>\n<p>                 \u2212<\/p>\n<p>                 1<\/p>\n<p>               ,<\/p>\n<p>                x<\/p>\n<p>                t<\/p>\n<p>               ]<\/p>\n<p>              &#043;<\/p>\n<p>               b<\/p>\n<p>               o<\/p>\n<p>              )<\/p>\n<p>         \\\\begin{aligned} &amp; f_t&#061;\\\\sigma\\\\left(W_f \\\\bullet\\\\left[h_{t-1}, x_t\\\\right]&#043;b_f\\\\right) \\\\\\\\ &amp; i_t&#061;\\\\sigma\\\\left(W_i \\\\bullet\\\\left[h_{t-1}, x_t\\\\right]&#043;b_i\\\\right) \\\\\\\\ &amp; \\\\tilde{C}_t&#061;\\\\tanh \\\\left(W_c \\\\bullet\\\\left[h_{t-1}, x_t\\\\right]&#043;b_c\\\\right) \\\\\\\\ &amp; o_t&#061;\\\\sigma\\\\left(W_o \\\\bullet\\\\left[h_{t-1}, x_t\\\\right]&#043;b_o\\\\right) \\\\end{aligned} <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 6.0802em;vertical-align: -2.7901em\"><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-r\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 3.2901em\"><span class=\"\" style=\"top: -5.3703em\"><span class=\"pstrut\" style=\"height: 2.9202em\"><\/span><span class=\"mord\"><\/span><\/span><span class=\"\" style=\"top: -3.8703em\"><span class=\"pstrut\" style=\"height: 2.9202em\"><\/span><span class=\"mord\"><\/span><\/span><span class=\"\" style=\"top: -2.2901em\"><span class=\"pstrut\" style=\"height: 2.9202em\"><\/span><span class=\"mord\"><\/span><\/span><span class=\"\" style=\"top: -0.7901em\"><span class=\"pstrut\" style=\"height: 2.9202em\"><\/span><span class=\"mord\"><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.7901em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"col-align-l\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 3.2901em\"><span class=\"\" style=\"top: -5.4501em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1076em\">f<\/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: -0.1076em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">t<\/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 class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c3<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">W<\/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 mathnormal mtight\" style=\"margin-right: 0.1076em\">f<\/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: 0.2222em\"><\/span><span class=\"mbin\">\u2219<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\">[<\/span><span class=\"mord\"><span class=\"mord mathnormal\">h<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><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\">t<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2083em\"><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\">x<\/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 mathnormal mtight\">t<\/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 delimcenter\" style=\"top: 0em\">]<\/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 class=\"mord\"><span class=\"mord mathnormal\">b<\/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 mathnormal mtight\" style=\"margin-right: 0.1076em\">f<\/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 delimcenter\" style=\"top: 0em\">)<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.9501em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">i<\/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 mathnormal mtight\">t<\/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 class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c3<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">W<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><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 mathnormal mtight\">i<\/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\">\u2219<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\">[<\/span><span class=\"mord\"><span class=\"mord mathnormal\">h<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><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\">t<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2083em\"><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\">x<\/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 mathnormal mtight\">t<\/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 delimcenter\" style=\"top: 0em\">]<\/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 class=\"mord\"><span class=\"mord mathnormal\">b<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><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 mathnormal mtight\">i<\/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 delimcenter\" style=\"top: 0em\">)<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -2.3699em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><\/span><span class=\"mord\"><span class=\"mord accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.9202em\"><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><\/span><span class=\"\" style=\"top: -3.6023em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"accent-body\" style=\"left: -0.1667em\"><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: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">t<\/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 class=\"mop\">tanh<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">W<\/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: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">c<\/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\">\u2219<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\">[<\/span><span class=\"mord\"><span class=\"mord mathnormal\">h<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><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\">t<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2083em\"><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\">x<\/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 mathnormal mtight\">t<\/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 delimcenter\" style=\"top: 0em\">]<\/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 class=\"mord\"><span class=\"mord mathnormal\">b<\/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 mathnormal mtight\">c<\/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 delimcenter\" style=\"top: 0em\">)<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -0.8699em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><\/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: 0.2806em\"><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 mathnormal mtight\">t<\/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 class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c3<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">W<\/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: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">o<\/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\">\u2219<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\">[<\/span><span class=\"mord\"><span class=\"mord mathnormal\">h<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><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\">t<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2083em\"><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\">x<\/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 mathnormal mtight\">t<\/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 delimcenter\" style=\"top: 0em\">]<\/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 class=\"mord\"><span class=\"mord mathnormal\">b<\/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 mathnormal mtight\">o<\/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 delimcenter\" style=\"top: 0em\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.7901em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5f0f\u4e2d&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u03c3<\/p>\n<p>       \\\\sigma<\/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: 0.0359em\">\u03c3<\/span><\/span><\/span><\/span><\/span> \u4e3a sigmod \u6fc0\u6d3b\u51fd\u6570&#xff1b; <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        tanh<\/p>\n<p>        \u2061<\/p>\n<p>       \\\\tanh<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span class=\"mop\">tanh<\/span><\/span><\/span><\/span><\/span> \u4e3a\u53cc\u66f2\u6b63\u5207\u6fc0\u6d3b\u51fd\u6570&#xff1b;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         h<\/p>\n<p>          t<\/p>\n<p>          \u2212<\/p>\n<p>          1<\/p>\n<p>       h_{t-1}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.9028em;vertical-align: -0.2083em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">h<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><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\">t<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2083em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        t<\/p>\n<p>        \u2212<\/p>\n<p>        1<\/p>\n<p>       \\\\mathrm{t}-1<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6984em;vertical-align: -0.0833em\"><\/span><span class=\"mord mathrm\">t<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/span> \u65f6\u523b\u7684\u8f93\u51fa&#xff1b;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         f<\/p>\n<p>         t<\/p>\n<p>        ,<\/p>\n<p>        \u00a0<\/p>\n<p>         i<\/p>\n<p>         t<\/p>\n<p>        ,<\/p>\n<p>        \u00a0<\/p>\n<p>          C<\/p>\n<p>          ~<\/p>\n<p>         t<\/p>\n<p>        ,<\/p>\n<p>        \u00a0<\/p>\n<p>         o<\/p>\n<p>         t<\/p>\n<p>       f_t, ~ i_t, ~ \\\\tilde{C}_t, ~ o_t<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.1146em;vertical-align: -0.1944em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1076em\">f<\/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: -0.1076em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">t<\/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 nobreak\">\u00a0<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">i<\/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 mathnormal mtight\">t<\/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 nobreak\">\u00a0<\/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: 0.9202em\"><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><\/span><span class=\"\" style=\"top: -3.6023em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"accent-body\" style=\"left: -0.1667em\"><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: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">t<\/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 nobreak\">\u00a0<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/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: 0.2806em\"><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 mathnormal mtight\">t<\/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> \u5206\u522b\u4e3a &#xff1a;t\u65f6\u523b\u4e0b\u9057\u5fd8\u95e8\u9650&#xff0c;\u8f93\u5165\u95e8\u9650&#xff0c;\u72b6\u6001\u77e9\u9635&#xff0c;\u8f93\u51fa\u95e8\u9650&#xff1b;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         W<\/p>\n<p>         f<\/p>\n<p>        ,<\/p>\n<p>        \u00a0<\/p>\n<p>         W<\/p>\n<p>         i<\/p>\n<p>        ,<\/p>\n<p>        \u00a0<\/p>\n<p>         W<\/p>\n<p>         c<\/p>\n<p>        ,<\/p>\n<p>        \u00a0<\/p>\n<p>        W<\/p>\n<p>        o<\/p>\n<p>       W_f, ~ W_i, ~ W_c, ~ W o<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.9694em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">W<\/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 mathnormal mtight\" style=\"margin-right: 0.1076em\">f<\/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 nobreak\">\u00a0<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">W<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><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 mathnormal mtight\">i<\/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 nobreak\">\u00a0<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">W<\/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: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">c<\/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 nobreak\">\u00a0<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">W<\/span><span class=\"mord mathnormal\">o<\/span><\/span><\/span><\/span><\/span> \u5206\u522b\u4e3a\u5404\u5bf9\u5e94\u5c42\u7684\u6743\u91cdt&#xff1b;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         b<\/p>\n<p>         f<\/p>\n<p>        ,<\/p>\n<p>        \u00a0<\/p>\n<p>         b<\/p>\n<p>         i<\/p>\n<p>        ,<\/p>\n<p>        \u00a0<\/p>\n<p>         b<\/p>\n<p>         c<\/p>\n<p>        ,<\/p>\n<p>        \u00a0<\/p>\n<p>         b<\/p>\n<p>         o<\/p>\n<p>       b_f, ~ b_i, ~ b_c, ~ b_o<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.9805em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">b<\/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 mathnormal mtight\" style=\"margin-right: 0.1076em\">f<\/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 nobreak\">\u00a0<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">b<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><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 mathnormal mtight\">i<\/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 nobreak\">\u00a0<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">b<\/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 mathnormal mtight\">c<\/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 nobreak\">\u00a0<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">b<\/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 mathnormal mtight\">o<\/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>\u5206\u522b\u4e3a\u5404\u5bf9\u5e94\u5c42\u7684\u504f\u7f6e\u7cfb\u6570\u3002<\/p>\n<p>\u6700\u540e&#xff0c;\u65b0\u7684\u72b6\u6001\u8868\u793a\u4e3a<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          C<\/p>\n<p>          t<\/p>\n<p>         &#061;<\/p>\n<p>          f<\/p>\n<p>          t<\/p>\n<p>         \u00d7<\/p>\n<p>          c<\/p>\n<p>           t<\/p>\n<p>           \u2212<\/p>\n<p>           1<\/p>\n<p>         &#043;<\/p>\n<p>          i<\/p>\n<p>          t<\/p>\n<p>         \u00d7<\/p>\n<p>           C<\/p>\n<p>           ~<\/p>\n<p>          t<\/p>\n<p>         C_t&#061;f_t \\\\times c_{t-1}&#043;i_t \\\\times \\\\tilde{C}_t <\/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: 0.0715em\">C<\/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: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">t<\/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: 0.8889em;vertical-align: -0.1944em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1076em\">f<\/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: -0.1076em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">t<\/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\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7917em;vertical-align: -0.2083em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">c<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><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\">t<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2083em\"><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: 0.8095em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">i<\/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 mathnormal mtight\">t<\/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\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.0702em;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: 0.9202em\"><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><\/span><span class=\"\" style=\"top: -3.6023em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"accent-body\" style=\"left: -0.1667em\"><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: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">t<\/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<h3>2.\u98ce\u7535\u529f\u7387\u9884\u6d4b<\/h3>\n<h3>2.1 \u6570\u636e\u96c6<\/h3>\n<p>\u6570\u636e\u96c6\u4e3a2019\u5e74\u98ce\u7535\u529f\u7387\u6570\u636e&#xff0c;\u6570\u636e\u96c6\u5982\u4e0b&#xff1a;<\/p>\n<table>\n<tr>\u65f6\u95f4\u6d4b\u98ce\u585410m\u98ce\u901f(m\/s)\u6d4b\u98ce\u585430m\u98ce\u901f(m\/s)\u6d4b\u98ce\u585450m\u98ce\u901f(m\/s)\u6d4b\u98ce\u585470m\u98ce\u901f(m\/s)\u8f6e\u6bc2\u9ad8\u5ea6\u98ce\u901f(m\/s)\u6d4b\u98ce\u585410m\u98ce\u5411(\u00b0)\u6d4b\u98ce\u585430m\u98ce\u5411(\u00b0)\u6d4b\u98ce\u585450m\u98ce\u5411(\u00b0)\u6d4b\u98ce\u585470m\u98ce\u5411(\u00b0)\u8f6e\u6bc2\u9ad8\u5ea6\u98ce\u5411(\u00b0)\u6e29\u5ea6(\u00b0)\u6c14\u538b(hPa)\u6e7f\u5ea6(%)\u5b9e\u9645\u53d1\u7535\u529f\u7387&#xff08;mw&#xff09;<\/tr>\n<tbody>\n<tr>\n<td>2019-01-01 00:00:00<\/td>\n<td>0.223<\/td>\n<td>0<\/td>\n<td>0<\/td>\n<td>0.818<\/td>\n<td>0.818<\/td>\n<td>166.816<\/td>\n<td>177.355<\/td>\n<td>6.224<\/td>\n<td>210.836<\/td>\n<td>210.836<\/td>\n<td>-13.154<\/td>\n<td>898.71<\/td>\n<td>53.497<\/td>\n<td>0.979591<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u6570\u636e\u7279\u5f81\u9664\u65f6\u95f4\u610f\u5916&#xff0c;\u4e00\u5171\u5305\u542b14\u7ef4\u7279\u5f81<\/p>\n<p>\u6211\u4eec\u5229\u7528Windowsize &#061; 5\u5929\u7684\u6570\u636e\u9884\u6d4b\u4e0b\u4e00\u5929\u7684\u6570\u636e&#xff0c; \u4e8e\u662f5\u5929\u7684\u6570\u636e\u4e00\u5171\u5305\u542b14*5&#061;70\u7ef4\u5ea6&#xff0c;\u9884\u6d4b\u8f93\u51fa1\u7ef4\u6570\u636e&#xff0c;\u5373\u5b9e\u9645\u53d1\u7535\u529f\u7387&#xff08;mw&#xff09;\u3002\u5b9e\u9645\u5e94\u7528\u4e2d&#xff0c;Windowsize\u7684\u5927\u5c0f\u53ef\u6839\u636e\u5b9e\u9645\u60c5\u51b5\u8fdb\u884c\u4fee\u6539\u3002<\/p>\n<h3>3.\u57fa\u4e8e\u7c92\u5b50\u7fa4\u7b97\u6cd5\u4f18\u5316\u7684LSTM<\/h3>\n<p>\u7c92\u5b50\u7fa4\u7b97\u6cd5\u539f\u7406\u8bf7\u53c2\u8003&#xff1a;\u7f51\u7edc\u535a\u5ba2 \u7531\u524d\u6587\u53ef\u77e5&#xff0c;LSTM\u7684\u53c2\u6570\u8bbe\u7f6e\u5177\u6709\u6ee1\u76ee\u6027\u3002\u672c\u6587\u5229\u7528\u7c92\u5b50\u7fa4\u7b97\u6cd5\u5bf9LSTM\u7684\u53c2\u6570&#xff08;\u5b66\u4e60\u7387&#xff0c;LSTM\u795e\u7ecf\u5143\u4e2a\u6570&#xff0c;\u6b63\u5219\u5316\u53c2\u6570&#xff09;\u8fdb\u884c\u4f18\u5316\u3002\u9002\u5e94\u5ea6\u51fd\u6570\u8bbe\u8ba1\u4e3a\u8bad\u7ec3\u96c6\u7684MAPE\u5e73\u5747\u767e\u5206\u6bd4\u8bef\u5dee&#xff1a; <span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         f<\/p>\n<p>         i<\/p>\n<p>         t<\/p>\n<p>         n<\/p>\n<p>         e<\/p>\n<p>         s<\/p>\n<p>         s<\/p>\n<p>         &#061;<\/p>\n<p>         a<\/p>\n<p>         r<\/p>\n<p>         g<\/p>\n<p>         m<\/p>\n<p>         i<\/p>\n<p>         n<\/p>\n<p>         (<\/p>\n<p>         M<\/p>\n<p>         A<\/p>\n<p>         P<\/p>\n<p>         E<\/p>\n<p>          p<\/p>\n<p>          r<\/p>\n<p>          i<\/p>\n<p>          d<\/p>\n<p>          e<\/p>\n<p>          c<\/p>\n<p>          t<\/p>\n<p>         )<\/p>\n<p>         fitness &#061; argmin(MAPE{pridect}) <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8889em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1076em\">f<\/span><span class=\"mord mathnormal\">i<\/span><span class=\"mord mathnormal\">t<\/span><span class=\"mord mathnormal\">n<\/span><span class=\"mord mathnormal\">ess<\/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 mathnormal\">a<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">r<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">g<\/span><span class=\"mord mathnormal\">min<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">M<\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">PE<\/span><span class=\"mord\"><span class=\"mord mathnormal\">p<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">r<\/span><span class=\"mord mathnormal\">i<\/span><span class=\"mord mathnormal\">d<\/span><span class=\"mord mathnormal\">ec<\/span><span class=\"mord mathnormal\">t<\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u9002\u5e94\u5ea6\u51fd\u6570\u9009\u53d6\u8bad\u7ec3\u540e\u7684MAPE\u8bef\u5dee\u3002MAPE\u8bef\u5dee\u8d8a\u5c0f\u8868\u660e\u9884\u6d4b\u7684\u6570\u636e\u4e0e\u539f\u59cb\u6570\u636e\u91cd\u5408\u5ea6\u8d8a\u9ad8\u3002\u6700\u7ec8\u4f18\u5316\u7684\u8f93\u51fa\u4e3a\u6700\u4f73\u5b66\u4e60\u7387&#xff0c;LSTM\u795e\u7ecf\u5143\u4e2a\u6570&#xff0c;\u6b63\u5219\u5316\u53c2\u6570\u3002\u7136\u540e\u5229\u7528\u6700\u4f73\u5b66\u4e60\u7387&#xff0c;LSTM\u795e\u7ecf\u5143\u4e2a\u6570&#xff0c;\u6b63\u5219\u5316\u53c2\u6570\u8bad\u7ec3\u540e\u7684\u7f51\u7edc\u5bf9\u6d4b\u8bd5\u6570\u636e\u96c6\u8fdb\u884c\u6d4b\u8bd5\u3002<\/p>\n<h3>4.\u5b9e\u9a8c\u7ed3\u679c<\/h3>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250814231010-689e6cd2552fa.png\" alt=\"\u8bf7\u6dfb\u52a0\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250814231010-689e6cd2a6ccb.png\" alt=\"\u8bf7\u6dfb\u52a0\u56fe\u7247\u63cf\u8ff0\" \/> <img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250814231010-689e6cd2e6e0a.png\" alt=\"\u8bf7\u6dfb\u52a0\u56fe\u7247\u63cf\u8ff0\" \/> <img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250814231011-689e6cd37f7e5.png\" alt=\"\u8bf7\u6dfb\u52a0\u56fe\u7247\u63cf\u8ff0\" \/> <img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250814231012-689e6cd42f5d7.png\" alt=\"\u8bf7\u6dfb\u52a0\u56fe\u7247\u63cf\u8ff0\" \/> <img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250814231012-689e6cd48cd64.png\" alt=\"\u8bf7\u6dfb\u52a0\u56fe\u7247\u63cf\u8ff0\" \/> <img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250814231012-689e6cd4dc571.png\" alt=\"\u8bf7\u6dfb\u52a0\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<h3>5.Matlab\u4ee3\u7801<\/h3>\n","protected":false},"excerpt":{"rendered":"<p>\u6587\u7ae0\u6d4f\u89c8\u9605\u8bfb716\u6b21\uff0c\u70b9\u8d5e28\u6b21\uff0c\u6536\u85cf20\u6b21\u3002\u6700\u7ec8\u4f18\u5316\u7684\u8f93\u51fa\u4e3a\u6700\u4f73\u5b66\u4e60\u7387\uff0cLSTM\u795e\u7ecf\u5143\u4e2a\u6570\uff0c\u6b63\u5219\u5316\u53c2\u6570\u3002\u6211\u4eec\u5229\u7528Windowsize = 5\u5929\u7684\u6570\u636e\u9884\u6d4b\u4e0b\u4e00\u5929\u7684\u6570\u636e\uff0c 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