{"id":103579,"date":"2026-09-11T01:49:10","date_gmt":"2026-09-10T17:49:10","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/103579.html"},"modified":"2026-09-11T01:49:10","modified_gmt":"2026-09-10T17:49:10","slug":"%e9%80%90%e5%85%83%e7%b4%a0%e7%ae%97%e5%ad%90%e9%93%be%e8%9e%8d%e5%90%88","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/103579.html","title":{"rendered":"\u9010\u5143\u7d20\u7b97\u5b50\u94fe\u878d\u5408"},"content":{"rendered":"<h2>\u6982\u8ff0<\/h2>\n<p>\u5982\u679c\u4e00\u4e32\u7b97\u5b50\u90fd\u662f&#034;\u9010\u5143\u7d20&#034;\u7684&#xff08;\u5bf9\u6bcf\u4e2a\u5143\u7d20\u72ec\u7acb\u505a\u540c\u6837\u7684\u8fd0\u7b97&#xff09;&#xff0c;\u90a3\u4e48\u53ef\u4ee5\u628a\u5b83\u4eec\u5408\u5e76\u5230\u4e00\u4e2a\u5faa\u73af\u91cc&#xff0c;\u6bcf\u4e2a\u5143\u7d20\u4ece\u5934\u5230\u5c3e\u7b97\u5b8c&#xff0c;\u4e2d\u95f4\u7ed3\u679c\u53ea\u6d3b\u5728\u5bc4\u5b58\u5668\u91cc\u3002<\/p>\n<p>\u5f62\u5982\u00a0y &#061; max(0.1, tanh(x)) * 2 &#043; 1\u00a0\u7684\u9010\u5143\u7d20\u94fe&#xff08;\u6fc0\u6d3b\u3001\u5f52\u4e00\u5316\u3001\u6b8b\u5dee\u52a0\u3001\u7f29\u653e\u2026\u2026&#xff09;<\/p>\n<hr \/>\n<h2>\u5148\u7406\u89e3\u4ec0\u4e48\u662f&#034;\u9010\u5143\u7d20\u7b97\u5b50&#034;<\/h2>\n<p>\u9010\u5143\u7d20\u7b97\u5b50&#xff08;Elementwise Operator&#xff09;&#xff1a;\u5bf9\u5f20\u91cf\u91cc\u7684\u6bcf\u4e2a\u5143\u7d20\u72ec\u7acb\u505a\u540c\u6837\u7684\u8fd0\u7b97&#xff0c;\u8f93\u51fa\u5f62\u72b6\u548c\u8f93\u5165\u5f62\u72b6\u76f8\u540c&#xff0c;\u4e14\u8f93\u51fa\u5750\u6807 &#061; \u8f93\u5165\u5750\u6807\u3002<\/p>\n<p>\u6bd4\u5982&#xff1a;<\/p>\n<table>\n<tr>\u7b97\u5b50\u516c\u5f0f\u8f93\u5165\u8f93\u51fa<\/tr>\n<tbody>\n<tr>\n<td>tanh<\/td>\n<td><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">y[i]&#061;tanh\u2061(x[i])y[i] &#061; \\\\tanh(x[i])<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">y<\/span><span class=\"mopen\">[<\/span><span class=\"mord mathnormal\">i<\/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: 1em;vertical-align: -0.25em\"><\/span><span class=\"mop\">tanh<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mopen\">[<\/span><span class=\"mord mathnormal\">i<\/span><span class=\"mclose\">])<\/span><\/span><\/span><\/span><\/span><\/td>\n<td><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">x[0],x[1],\u2026x[0], x[1], \\\\dots<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mopen\">[<\/span><span class=\"mord\">0<\/span><span class=\"mclose\">]<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mopen\">[<\/span><span class=\"mord\">1<\/span><span class=\"mclose\">]<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\">\u2026<\/span><\/span><\/span><\/span><\/span><\/td>\n<td><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">y[0],y[1],\u2026y[0], y[1], \\\\dots<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">y<\/span><span class=\"mopen\">[<\/span><span class=\"mord\">0<\/span><span class=\"mclose\">]<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">y<\/span><span class=\"mopen\">[<\/span><span class=\"mord\">1<\/span><span class=\"mclose\">]<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\">\u2026<\/span><\/span><\/span><\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>\u7f29\u653e<\/td>\n<td><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">y[i]&#061;x[i]\u00d72y[i] &#061; x[i] \\\\times 2<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">y<\/span><span class=\"mopen\">[<\/span><span class=\"mord mathnormal\">i<\/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: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mopen\">[<\/span><span class=\"mord mathnormal\">i<\/span><span class=\"mclose\">]<\/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: 0.6444em\"><\/span><span class=\"mord\">2<\/span><\/span><\/span><\/span><\/span><\/td>\n<td>\u540c\u4e0a<\/td>\n<td>\u540c\u4e0a<\/td>\n<\/tr>\n<tr>\n<td>\u5e73\u79fb<\/td>\n<td><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">y[i]&#061;x[i]&#043;1y[i] &#061; x[i] &#043; 1<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">y<\/span><span class=\"mopen\">[<\/span><span class=\"mord mathnormal\">i<\/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: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mopen\">[<\/span><span class=\"mord mathnormal\">i<\/span><span class=\"mclose\">]<\/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: 0.6444em\"><\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/span><\/td>\n<td>\u540c\u4e0a<\/td>\n<td>\u540c\u4e0a<\/td>\n<\/tr>\n<tr>\n<td>max<\/td>\n<td><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">y[i]&#061;max\u2061(x[i],0.1)y[i] &#061; \\\\max(x[i], 0.1)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">y<\/span><span class=\"mopen\">[<\/span><span class=\"mord mathnormal\">i<\/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: 1em;vertical-align: -0.25em\"><\/span><span class=\"mop\">max<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mopen\">[<\/span><span class=\"mord mathnormal\">i<\/span><span class=\"mclose\">]<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">0.1<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/td>\n<td>\u540c\u4e0a<\/td>\n<td>\u540c\u4e0a<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u5173\u952e\u7279\u5f81&#xff1a;\u7b2c i \u4e2a\u8f93\u51fa\u5143\u7d20\u53ea\u4f9d\u8d56\u7b2c i \u4e2a\u8f93\u5165\u5143\u7d20&#xff0c;\u4e0d\u4f9d\u8d56\u5176\u4ed6\u4f4d\u7f6e\u7684\u5143\u7d20\u3002<\/p>\n<p>\u8fd9\u5c31\u662f&#034;\u9010\u5143\u7d20&#034;\u7684\u542b\u4e49<\/p>\n<hr \/>\n<h2>\u95ee\u9898\u5728\u54ea\u91cc&#xff1f;<\/h2>\n<p>\u5047\u8bbe\u6709\u4e00\u4e2a 5 \u4e2a\u7b97\u5b50\u7684\u94fe&#xff1a;<\/p>\n<p>y &#061; max(0.1, tanh(x) * 2 &#043; 1)<\/p>\n<p>\u5b83\u62c6\u6210 5 \u4e2a\u7b97\u5b50&#xff1a;<\/p>\n<p>t1 &#061; tanh(x)      # \u2460 \u53cc\u66f2\u6b63\u5207<br \/>\nt2 &#061; t1 * 2       # \u2461 \u7f29\u653e<br \/>\nt3 &#061; t2 &#043; 1       # \u2462 \u5e73\u79fb<br \/>\nt4 &#061; max(t3, 0.1) # \u2463 \u4e0b\u9650\u622a\u65ad<br \/>\ny  &#061; t4           # \u2464 \u8d4b\u503c&#xff08;\u53ef\u80fd\u8fd8\u6709\u66f4\u591a&#xff09;<\/p>\n<p>\u5982\u679c\u6bcf\u4e2a\u7b97\u5b50\u5355\u72ec\u8dd1\u4e00\u4e2a kernel&#xff1a;<\/p>\n<p>kernel1: \u8bfb x[N]&#xff0c;\u5199 t1[N]         \u2192 DRAM \u6d41\u91cf&#xff1a;\u8bfb N &#043; \u5199 N<br \/>\nkernel2: \u8bfb t1[N]&#xff0c;\u5199 t2[N]        \u2192 DRAM \u6d41\u91cf&#xff1a;\u8bfb N &#043; \u5199 N<br \/>\nkernel3: \u8bfb t2[N]&#xff0c;\u5199 t3[N]        \u2192 DRAM \u6d41\u91cf&#xff1a;\u8bfb N &#043; \u5199 N<br \/>\nkernel4: \u8bfb t3[N]&#xff0c;\u5199 t4[N]        \u2192 DRAM \u6d41\u91cf&#xff1a;\u8bfb N &#043; \u5199 N<br \/>\nkernel5: \u8bfb t4[N]&#xff0c;\u5199 y[N]         \u2192 DRAM \u6d41\u91cf&#xff1a;\u8bfb N &#043; \u5199 N<\/p>\n<p>\u5047\u8bbe\u6bcf\u4e2a\u5f20\u91cf\u5927\u5c0f\u662f S \u5b57\u8282&#xff08;N \u4e2a\u5143\u7d20&#xff0c;\u6bcf\u4e2a\u5143\u7d20\u82e5\u5e72\u5b57\u8282&#xff09;&#xff0c;\u90a3\u4e48\u4e0d\u878d\u5408\u7684\u603b DRAM \u6d41\u91cf\u662f&#xff1a;<br \/>\n<span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">5\u00d7(2S)&#061;10S<br \/>\n5\u00d7(2S)&#061;10S<br \/>\n<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">5<\/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: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\">2<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">S<\/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: 0.6833em\"><\/span><span class=\"mord\">10<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">S<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5373&#xff1a;\u6bcf\u4e2a\u4e2d\u95f4\u5f20\u91cf\u90fd\u8981\u88ab\u5199\u4e00\u6b21\u3001\u8bfb\u4e00\u6b21&#xff0c;\u5171 5 \u5bf9\u8bfb\u5199\u3002<\/p>\n<hr \/>\n<h2>\u5177\u4f53\u6570\u503c\u4f8b\u5b50<\/h2>\n<p>\u4e3a\u4e86\u7b80\u5355&#xff0c;\u5047\u8bbe&#xff1a;<\/p>\n<ul>\n<li>\u5f20\u91cf\u5927\u5c0f N &#061; 4&#xff08;4 \u4e2a\u5143\u7d20&#xff09;<\/li>\n<li>\u8f93\u5165 x &#061;\u00a0[0.5, 1.0, -0.5, 2.0]<\/li>\n<li>\u6bcf\u4e2a\u5143\u7d20\u662f f32&#xff08;4 \u5b57\u8282&#xff09;&#xff0c;\u6240\u4ee5 S &#061; 4\u00d74 &#061; 16 \u5b57\u8282<\/li>\n<\/ul>\n<h3>\u6b65\u9aa4 1&#xff1a;\u4e0d\u878d\u5408&#xff0c;\u9010\u4e2a\u7b97\u5b50\u7b97<\/h3>\n<h4>t1 &#061; tanh(x)<\/h4>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">tanh\u2061(0.5)&#061;0.462,tanh\u2061(1.0)&#061;0.762,tanh\u2061(\u22120.5)&#061;\u22120.462,tanh\u2061(2.0)&#061;0.964<br \/>\n\\\\tanh(0.5) &#061; 0.462, \\\\quad \\\\tanh(1.0) &#061; 0.762, \\\\quad \\\\tanh(-0.5) &#061; -0.462, \\\\quad \\\\tanh(2.0) &#061; 0.964<br \/>\n<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mop\">tanh<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">0.5<\/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: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">0.462<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 1em\"><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mop\">tanh<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">1.0<\/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: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">0.762<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 1em\"><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mop\">tanh<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">0.5<\/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: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">0.462<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 1em\"><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mop\">tanh<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">2.0<\/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: 0.6444em\"><\/span><span class=\"mord\">0.964<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">t1&#061;[0.462,0.762,\u22120.462,0.964]<br \/>\nt1 &#061; [0.462, 0.762, -0.462, 0.964]<br \/>\n<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord mathnormal\">t<\/span><span class=\"mord\">1<\/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=\"mopen\">[<\/span><span class=\"mord\">0.462<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">0.762<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">0.462<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">0.964<\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<h4>t2 &#061; t1 \u00d7 2<\/h4>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">t2&#061;[0.924,1.524,\u22120.924,1.928]<br \/>\nt2 &#061; [0.924, 1.524, -0.924, 1.928]<br \/>\n<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord mathnormal\">t<\/span><span class=\"mord\">2<\/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=\"mopen\">[<\/span><span class=\"mord\">0.924<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">1.524<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">0.924<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">1.928<\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<h4>t3 &#061; t2 &#043; 1<\/h4>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">t2&#061;[1.924,2.524,0.076,2.928]<br \/>\nt2 &#061; [1.924,2.524,0.076,2.928]<br \/>\n<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord mathnormal\">t<\/span><span class=\"mord\">2<\/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=\"mopen\">[<\/span><span class=\"mord\">1.924<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">2.524<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">0.076<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">2.928<\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<h4>t4 &#061; max(t3, 0.1)<\/h4>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">t4&#061;[1.924,2.524,0.1,2.928]<br \/>\nt4&#061;[1.924,2.524,0.1,2.928]<br \/>\n<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord mathnormal\">t<\/span><span class=\"mord\">4<\/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=\"mopen\">[<\/span><span class=\"mord\">1.924<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">2.524<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">0.1<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">2.928<\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<h4>y &#061; t4<\/h4>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">y&#061;[1.924,2.524,0.1,2.928]<br \/>\ny&#061;[1.924,2.524,0.1,2.928]<br \/>\n<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.625em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">y<\/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=\"mopen\">[<\/span><span class=\"mord\">1.924<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">2.524<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">0.1<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">2.928<\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u4e0d\u878d\u5408\u7684\u6700\u7ec8\u7ed3\u679c&#xff1a;[1.924, 2.524, 0.1, 2.928]<\/p>\n<p>DRAM \u6d41\u91cf&#xff1a;<\/p>\n<table>\n<tr>\u7b97\u5b50\u8bfb\u5199<\/tr>\n<tbody>\n<tr>\n<td>tanh<\/td>\n<td>16 B (x)<\/td>\n<td>16 B (t1)<\/td>\n<\/tr>\n<tr>\n<td>\u00d72<\/td>\n<td>16 B (t1)<\/td>\n<td>16 B (t2)<\/td>\n<\/tr>\n<tr>\n<td>&#043;1<\/td>\n<td>16 B (t2)<\/td>\n<td>16 B (t3)<\/td>\n<\/tr>\n<tr>\n<td>max<\/td>\n<td>16 B (t3)<\/td>\n<td>16 B (t4)<\/td>\n<\/tr>\n<tr>\n<td>\u8d4b\u503c<\/td>\n<td>16 B (t4)<\/td>\n<td>16 B (y)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3>\u6b65\u9aa4 2&#xff1a;\u878d\u5408\u540e&#xff0c;\u4e00\u4e2a kernel \u7b97\u5b8c<\/h3>\n<p>\u878d\u5408\u540e\u7684 kernel \u53ea\u6709\u4e00\u4e2a\u5faa\u73af&#xff0c;\u904d\u5386\u6240\u6709\u5143\u7d20&#xff1a;<\/p>\n<p>for i in 0..N:<br \/>\n    t1 &#061; tanh(x[i])<br \/>\n    t2 &#061; t1 * 2<br \/>\n    t3 &#061; t2 &#043; 1<br \/>\n    y[i] &#061; max(t3, 0.1)<\/p>\n<p>\u5bf9\u4e8e i&#061;0&#xff1a;x[0]&#061;0.5<\/p>\n<ul>\n<li>t1 &#061; tanh(0.5) &#061; 0.462<\/li>\n<li>t2 &#061; 0.462 \u00d7 2 &#061; 0.924<\/li>\n<li>t3 &#061; 0.924 &#043; 1 &#061; 1.924<\/li>\n<li>y[0] &#061; max(1.924, 0.1) &#061; 1.924<\/li>\n<\/ul>\n<p>\u5bf9\u4e8e i&#061;1&#xff1a;x[1]&#061;1.0<\/p>\n<ul>\n<li>t1 &#061; tanh(1.0) &#061; 0.762<\/li>\n<li>t2 &#061; 0.762 \u00d7 2 &#061; 1.524<\/li>\n<li>t3 &#061; 1.524 &#043; 1 &#061; 2.524<\/li>\n<li>y[1] &#061; max(2.524, 0.1) &#061; 2.524<\/li>\n<\/ul>\n<p>\u5bf9\u4e8e i&#061;2&#xff1a;x[2]&#061;-0.5<\/p>\n<ul>\n<li>t1 &#061; tanh(-0.5) &#061; -0.462<\/li>\n<li>t2 &#061; -0.462 \u00d7 2 &#061; -0.924<\/li>\n<li>t3 &#061; -0.924 &#043; 1 &#061; 0.076<\/li>\n<li>y[2] &#061; max(0.076, 0.1) &#061; 0.1<\/li>\n<\/ul>\n<p>\u5bf9\u4e8e i&#061;3&#xff1a;x[3]&#061;2.0<\/p>\n<ul>\n<li>t1 &#061; tanh(2.0) &#061; 0.964<\/li>\n<li>t2 &#061; 0.964 \u00d7 2 &#061; 1.928<\/li>\n<li>t3 &#061; 1.928 &#043; 1 &#061; 2.928<\/li>\n<li>y[3] &#061; max(2.928, 0.1) &#061; 2.928<\/li>\n<\/ul>\n<p>\u878d\u5408\u540e\u7684\u6700\u7ec8\u7ed3\u679c&#xff1a;[1.924, 2.524, 0.1, 2.928]\u00a0\u2705 \u4e0e\u4e0d\u878d\u5408\u5b8c\u5168\u4e00\u81f4\u3002<\/p>\n<p>DRAM \u6d41\u91cf&#xff1a;<\/p>\n<table>\n<tr>\u64cd\u4f5c\u8bfb\u5199<\/tr>\n<tbody>\n<tr>\n<td>\u878d\u5408 kernel<\/td>\n<td>16 B (x)<\/td>\n<td>16 B (y)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u603b\u8ba1&#xff1a;32 \u5b57\u8282&#xff08;2S &#061; 2\u00d716 &#061; 32&#xff09;\u3002<\/p>\n<hr \/>\n<h2>\u878d\u5408\u524d\u540e\u5bf9\u6bd4<\/h2>\n<table>\n<tr>\u7ef4\u5ea6\u4e0d\u878d\u5408\u878d\u5408\u540e<\/tr>\n<tbody>\n<tr>\n<td>Kernel \u6570\u91cf<\/td>\n<td>5 \u4e2a<\/td>\n<td>1 \u4e2a<\/td>\n<\/tr>\n<tr>\n<td>DRAM \u6d41\u91cf<\/td>\n<td>10S &#061; 160 B<\/td>\n<td>2S &#061; 32 B<\/td>\n<\/tr>\n<tr>\n<td>\u4e2d\u95f4\u5f20\u91cf t1~t4<\/td>\n<td>\u90fd\u5199\u56de DRAM&#xff0c;\u518d\u8bfb\u51fa\u6765<\/td>\n<td>\u53ea\u6d3b\u5728\u5bc4\u5b58\u5668\u91cc<\/td>\n<\/tr>\n<tr>\n<td>Kernel \u542f\u52a8\u5f00\u9500<\/td>\n<td>5 \u6b21<\/td>\n<td>1 \u6b21<\/td>\n<\/tr>\n<tr>\n<td>\u6700\u7ec8\u7ed3\u679c<\/td>\n<td>\u76f8\u540c<\/td>\n<td>\u76f8\u540c<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u6d41\u91cf\u51cf\u5c11\u5230\u539f\u6765\u7684 1\/5\u3002\u5982\u679c\u94fe\u4e0a\u6709 50 \u4e2a\u9010\u5143\u7d20\u7b97\u5b50&#xff0c;\u6d41\u91cf\u51cf\u5c11\u5230 1\/50\u3002<\/p>\n<hr \/>\n<h2>\u4e3a\u4ec0\u4e48\u9010\u5143\u7d20\u94fe\u53ef\u4ee5&#034;\u767d\u9001&#034;\u5730\u878d\u5408&#xff1f;<\/h2>\n<p>\u5173\u952e\u539f\u56e0&#xff1a;\u8f93\u51fa\u5750\u6807 &#061; \u8f93\u5165\u5750\u6807&#xff08;\u6052\u7b49\u6620\u5c04&#xff09;\u3002<\/p>\n<ul>\n<li>\u5bf9\u4e8e\u7b2c i \u4e2a\u8f93\u51fa\u5143\u7d20\u00a0y[i]&#xff0c;\u5b83\u53ea\u4f9d\u8d56\u00a0x[i]&#xff0c;\u4e0d\u9700\u8981\u8bbf\u95ee\u00a0x\u00a0\u7684\u5176\u4ed6\u4f4d\u7f6e\u3002<\/li>\n<li>\u6240\u4ee5\u4e00\u4e2a\u5faa\u73af\u904d\u5386 i \u4ece 0 \u5230 N-1&#xff0c;\u6bcf\u4e2a i \u72ec\u7acb\u5730\u628a\u6574\u6761\u94fe\u7b97\u5b8c&#xff0c;\u4e0d\u5b58\u5728\u5750\u6807\u6362\u7b97\u8d1f\u62c5\u3002<\/li>\n<\/ul>\n<p>\u5bf9\u6bd4\u5377\u79ef&#xff1a;\u5377\u79ef\u7684\u8f93\u51fa\u00a0(n, co, ho, wo)\u00a0\u9700\u8981\u8bbf\u95ee\u8f93\u5165\u7684\u7a97\u53e3\u00a0(n, ci, ho * s&#043;kh, wo * s&#043;kw)&#xff0c;\u6d89\u53ca stride\u3001padding \u7b49\u590d\u6742\u5750\u6807\u6620\u5c04\u3002\u6240\u4ee5\u5377\u79ef\u878d\u5408\u7684\u7d22\u5f15\u63a8\u5bfc\u66f4\u96be&#xff0c;\u800c\u9010\u5143\u7d20\u94fe\u878d\u5408\u662f&#034;\u6700\u7b80\u5355\u3001\u6700\u5b89\u5168&#034;\u7684\u878d\u5408\u3002<\/p>\n<hr \/>\n<h2>\u4ec0\u4e48\u60c5\u51b5\u4e0b\u4e0d\u80fd\u878d\u5408&#xff1f;<\/h2>\n<p>\u9010\u5143\u7d20\u94fe\u878d\u5408\u7684\u524d\u63d0\u662f&#xff1a;<\/p>\n<p>\u6240\u6709\u7b97\u5b50\u90fd\u662f\u9010\u5143\u7d20\u7684&#xff1a;\u4e0d\u80fd\u6709\u00a0reduce&#xff08;\u5982\u00a0sum\u3001mean&#xff09;\u3001reshape\u3001transpose\u3001matmul\u00a0\u7b49\u8de8\u5143\u7d20\u64cd\u4f5c\u3002<\/p>\n<p>\u6ca1\u6709\u526f\u4f5c\u7528&#xff1a;\u4e0d\u80fd\u6709\u00a0print\u3001\u6587\u4ef6\u5199\u5165\u3001\u968f\u673a\u6570\u751f\u6210&#xff08;\u6bcf\u6b21\u7ed3\u679c\u4e0d\u540c&#xff09;\u3002<\/p>\n<p>\u6ca1\u6709\u5206\u652f\u6539\u53d8\u5f62\u72b6&#xff1a;\u4e0d\u80fd\u6709\u00a0if\u00a0\u5bfc\u81f4\u8f93\u51fa\u5f62\u72b6\u53d8\u5316\u3002<\/p>\n<p>\u5982\u679c\u94fe\u4e2d\u6df7\u5165\u4e86\u4e00\u4e2a\u975e\u9010\u5143\u7d20\u7b97\u5b50&#xff08;\u6bd4\u5982\u4e2d\u95f4\u5939\u4e86\u4e00\u4e2a\u00a0softmax&#xff09;&#xff0c;\u878d\u5408\u5c31\u4f1a\u88ab\u6253\u65ad&#xff0c;\u9700\u8981\u5206\u6bb5\u5904\u7406\u3002<\/p>\n<hr \/>\n<h2>\u603b\u7ed3<\/h2>\n<p>\u9010\u5143\u7d20\u7b97\u5b50\u94fe\u878d\u5408&#xff1a;\u56e0\u4e3a\u6bcf\u4e2a\u8f93\u51fa\u5143\u7d20\u53ea\u4f9d\u8d56\u5bf9\u5e94\u7684\u8f93\u5165\u5143\u7d20&#xff08;\u6052\u7b49\u5750\u6807\u6620\u5c04&#xff09;&#xff0c;\u6240\u4ee5\u53ef\u4ee5\u628a\u6574\u6761\u94fe\u585e\u8fdb\u4e00\u4e2a\u5faa\u73af&#xff0c;\u6bcf\u4e2a\u5143\u7d20\u4ece\u5934\u7b97\u5230\u5c3e&#xff0c;\u4e2d\u95f4\u7ed3\u679c\u53ea\u6d3b\u5728\u5bc4\u5b58\u5668\u91cc\u3002<\/p>\n<p>DRAM \u6d41\u91cf\u4ece\u00a02 \u00d7 \u7b97\u5b50\u6570 \u00d7 S\u00a0\u964d\u5230\u00a02S&#xff08;\u53ea\u8bfb\u8f93\u5165\u4e00\u6b21\u3001\u5199\u8f93\u51fa\u4e00\u6b21&#xff09;&#xff0c;\u662f\u6700\u7b80\u5355\u3001\u6536\u76ca\u6700\u76f4\u63a5\u7684\u878d\u5408\u6a21\u5f0f\u3002<\/p>\n<p>\u8fd9\u4e5f\u662f\u4e3a\u4ec0\u4e48\u6fc0\u6d3b\u51fd\u6570\u3001\u7f29\u653e\u5e73\u79fb\u3001\u9010\u5143\u7d20\u52a0\u7b49\u7b97\u5b50\u5728\u51e0\u4e4e\u6240\u6709\u63a8\u7406\u5f15\u64ce\u91cc\u90fd\u662f&#034;\u514d\u8d39&#034;\u878d\u5408\u7684\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6982\u8ff0<br \/>\n\u5982\u679c\u4e00\u4e32\u7b97\u5b50\u90fd\u662f\\&#8221;\u9010\u5143\u7d20\\&#8221;\u7684&#xff08;\u5bf9\u6bcf\u4e2a\u5143\u7d20\u72ec\u7acb\u505a\u540c\u6837\u7684\u8fd0\u7b97&#xff09;&#xff0c;\u90a3\u4e48\u53ef\u4ee5\u628a\u5b83\u4eec\u5408\u5e76\u5230\u4e00\u4e2a\u5faa\u73af\u91cc&#xff0c;\u6bcf\u4e2a\u5143\u7d20\u4ece\u5934\u5230\u5c3e\u7b97\u5b8c&#xff0c;\u4e2d\u95f4\u7ed3\u679c\u53ea\u6d3b\u5728\u5bc4\u5b58\u5668\u91cc\u3002<br 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