{"id":447,"date":"2022-11-05T12:09:30","date_gmt":"2022-11-05T04:09:30","guid":{"rendered":"http:\/\/blog.cyasylum.top\/?p=447"},"modified":"2023-11-05T12:12:50","modified_gmt":"2023-11-05T04:12:50","slug":"ai-level-dynamic-line-generation-1ranoq","status":"publish","type":"post","link":"http:\/\/blog.cyasylum.top\/index.php\/2022\/11\/05\/ai-level-dynamic-line-generation-1ranoq\/","title":{"rendered":"AI\u5173\u5361\u52a8\u7ebf\u751f\u6210"},"content":{"rendered":"<h1>AI\u5173\u5361\u52a8\u7ebf\u751f\u6210<\/h1>\n<p>\u200d<\/p>\n<\/p>\n<h1>\u76ee\u6807\u7b80\u8ff0<\/h1>\n<p>\u200d<\/p>\n<p>\u8be5\u9879\u76ee\u521d\u8877\u4e3a <a href=\"https:\/\/zhuanlan.zhihu.com\/p\/415025159\" target=\"_blank\"  rel=\"nofollow\" >\u5982\u4f55\u8bbe\u8ba1\u4e00\u5f20\u6709\u201c\u9b42\u5473\u201d\u7684\u5730\u56fe\uff1f\u2014\u2014\u8bba\u201c\u7c7b\u9b42\u201d\u6e38\u620f\u5173\u5361\u7684\u62d3\u6251\u7ed3\u6784<\/a> \u5728\u4e09\u7ef4\u7a7a\u95f4\u4e2d\u7684\u5ef6\u62d3\u3002<\/p>\n<p>\u5728\u539f\u6587\u4e2d\uff0c\u4f5c\u8005\u4f7f\u7528\u4e86\u56fe\u8bba\u7684\u65b9\u6cd5\uff0c\u901a\u8fc7\u7279\u5b9a\u89c4\u5219\u5bf9\u9b42\u7cfb\u6e38\u620f\u5173\u5361\u8fdb\u884c\u7b80\u5316\uff0c\u627e\u5230\u4e86\u8ba9\u5173\u5361\u5177\u6709\u9b42\u5473\u7684\u901a\u7528\u89c4\u5219\uff0c\u5373\u5173\u5361\u903b\u8f91\u56fe\u7684\u8054\u901a\u5ea6\u3002<\/p>\n<p>\u200d<\/p>\n<p>\u5728\u76f8\u5173\u7684\u4e8c\u671f\u89c4\u5212\u4e2d\uff0c\u6211\u4eec\u5e0c\u671b\u5c06\u5173\u6ce8\u70b9\u4ece\u62bd\u8c61\u7a0b\u5ea6\u6700\u9ad8\u7684\u56fe\u7ed3\u6784\u5173\u7cfb\u8f6c\u79fb\u5230\u66f4\u5177\u4f53\u7684\u5730\u56fe\u8bbe\u8ba1\u3002\u6211\u4eec\u5e0c\u671b\u901a\u8fc7\u66f4\u597d\u5730\u5b66\u4e60\u4f4e\u62bd\u8c61\u5c42\u6b21\u4e0b\u7684\u5173\u5361\u8bbe\u8ba1\u7279\u5f81\uff0c\u4ece\u800c\u5bfb\u627e\u4e00\u4e2a\u6613\u7528\u7684\u5173\u5361\u8bbe\u8ba1\u5de5\u5177\u3002<\/p>\n<p>\u200d<\/p>\n<p>\u4e00\u671f\u52a8\u7ebf\u751f\u6210\u5de5\u4f5c\uff0c\u7740\u773c\u70b9\u4e3a\u73a9\u5bb6\u63a2\u7d22\u5173\u5361\u7684\u52a8\u7ebf\u3002\u6570\u636e\u96c6\u4f7f\u7528\u4eba\u529b\u4f9d\u636e\u4ee5\u4e0b\u89c4\u5219\u5bf9\u73a9\u5bb6\u52a8\u7ebf\u8fdb\u884c\u7ed8\u5236\uff1a<\/p>\n<ol>\n<li>\u6240\u6709\u73a9\u5bb6\u53ef\u4ee5\u884c\u8d70\u7684\u8def\u7ebf\u90fd\u8981\u81f3\u5c11\u7ecf\u8fc7\u4e00\u904d\u3002<\/li>\n<li>\u8def\u7ebf\u8d77\u59cb\u70b9\u5728\u8fdb\u5165\u5173\u5361\u7684\u4f4d\u7f6e\uff0c\u7ec8\u6b62\u70b9\u5728\u51fb\u6740\u6700\u7ec8boss\u7684\u7bdd\u706b\u70b9\u6216\u79fb\u52a8\u5230\u4e0b\u4e2a\u5173\u5361\u7684\u4ea4\u4e92\u70b9\u3002<\/li>\n<li>\u652f\u7ebf\u673a\u5173\u95e8\uff0c\u9ed8\u8ba4\u4e0d\u5b58\u5728\uff1b\u4e3b\u7ebf\u673a\u5173\u95e8\u5b58\u5728\uff0c\u5e76\u4e14\u5728\u7ecf\u8fc7\u5168\u90e8\u89e6\u53d1\u6240\u9700\u4f4d\u7f6e\u4e4b\u540e\u76f4\u63a5\u6253\u5f00\uff1b\u5355\u5411\u95e8\uff08\u9996\u6b21\u901a\u8fc7\uff09\u548c\u8df3\u70b9\u9ed8\u8ba4\u53ea\u80fd\u5355\u5411\u901a\u884c\u3002<\/li>\n<li>\u5927\u578b\u7a7a\u65f7\u533a\u57df\uff0c\u9ed8\u8ba4\u533a\u57df\u4e2d\u5fc3\u662f\u4e00\u4e2a\u8282\u70b9\uff0c\u5230\u8fbe\u8fd9\u4e2a\u8282\u70b9\u4e4b\u540e\u4ee3\u8868\u6574\u4e2a\u533a\u57df\u63a2\u7d22\u5b8c\u6bd5\u3002<\/li>\n<li>\u6240\u6709\u7bdd\u706b\u70b9\uff0c\u5fc5\u987b\u88ab\u89c6\u4e3a\u4e00\u4e2a\u8282\u70b9\u3002<\/li>\n<li>\u88ab\u697c\u68af\u9519\u5f00\u7684\u4e24\u4e2a\u5e73\u9762\uff0c\u9ed8\u8ba4\u4e3a\u4e24\u4e2a\u533a\u57df\uff0c\u4e24\u4e2a\u533a\u57df\u90fd\u5fc5\u987b\u88ab\u753b\u7ebf\u7ecf\u8fc7\u81f3\u5c11\u4e00\u6b21\u3002<\/li>\n<li>\u753b\u7ebf\u9ad8\u5ea6\u9700\u8981\u8ddd\u79bb\u5730\u97620~50cm\u4e4b\u5185\uff0c\u9009\u5b9a\u753b\u7ebf\u9ad8\u5ea6\u4e4b\u540e\u5c3d\u91cf\u4fdd\u8bc1\u4ee5\u540e\u4e00\u76f4\u7ef4\u6301\u8fd9\u4e2a\u9ad8\u5ea6\u3002<\/li>\n<li>\u5728\u6ee1\u8db3\u89c4\u52191\uff5e7\u7684\u57fa\u7840\u4e0a\uff0c\u753b\u7ebf\u603b\u957f\u5ea6\u5c3d\u91cf\u6700\u77ed(\u65e2\u91cd\u590d\u7ebf\u6bb5\u957f\u5ea6\u6700\u77ed)\u3002<\/li>\n<li>\u753b\u7ebf\u7684\u84dd\u56fe\uff0cSpeed\u53c2\u6570\u8bbe\u7f6e\u4e3a 8\uff0cDelta Time\u8bbe\u7f6e\u4e3a 0.1<\/li>\n<\/ol>\n<p>\u5bf9\u4e8e\u57fa\u4e8e\u8be5\u89c4\u5219\u7684\u753b\u7ebf\u7ed3\u679c\uff0c\u6211\u4eec\u4f7f\u7528\u6253\u70b9\u5bf9\u5176\u8fdb\u884c\u91c7\u6837\uff0c\u901a\u8fc7\u95f4\u8ddd80cm\u7684\u6570\u636e\u70b9\u8fde\u6210\u7684\u7ebf\u91c7\u6837\u5173\u5361\u52a8\u7ebf<\/p>\n<p>\u200d<\/p>\n<p>\u901a\u8fc7\u8be5\u52a8\u7ebf\u6570\u636e\uff0c\u6211\u4eec\u80fd\u4ece\u4e24\u4e2a\u89d2\u5ea6\u5bf9\u6570\u636e\u8fdb\u884c\u5206\u6790<\/p>\n<ul>\n<li>\u8ba8\u8bba\u4e25\u683c\u9075\u4ece\u52a8\u7ebf\u8fd0\u52a8\u6b21\u5e8f\u53ca\u89c4\u5219\u7684\u52a8\u529b\u5b66\u52a8\u7ebf<\/li>\n<li>\u8ba8\u8bba\u4e0d\u542b\u8fd0\u52a8\u65b9\u5411\u53ca\u987a\u5e8f\u4fe1\u606f\uff0c\u5c4f\u853d\u91cd\u590d\u8def\u5f84\u7684\u70ed\u529b\u5b66\u8def\u5f84<\/li>\n<\/ul>\n<p>\u4f46\u76ee\u524d\u770b\u6765\u5c3c\u83ab\u5927\u795e\u5f00\u6446\u4e86\uff0c\u6211\u4eec\u96be\u4ee5\u4ece\u62bd\u8c61\u7684\u52a8\u7ebf\u6570\u636e\u4e2d\u5b66\u5230\u4e1c\u897f\uff08\u607c<\/p>\n<blockquote>\n<p>\u9664\u4e86\u4e00\u4e2a\u6307\u6807\u6027\u7684\u4fe1\u606f<\/p>\n<p><img decoding=\"async\" src=\"http:\/\/kodo.cyasylum.top\/siyuan\/202311051209802.png\" alt=\"Path\" \/>\u200b<\/p>\n<p>\u786e\u5b9a\u4e86\u9b42\u7cfb\u5173\u5361\u7684\u56de\u6eaf\u63a2\u7d22\u4e2d\uff0c\u52a8\u529b\u5b66\u4e0e\u70ed\u529b\u5b66\u8def\u5f84\u7684\u5e42\u6307\u6570\u5173\u7cfb<\/p>\n<\/blockquote>\n<p>\u200d<\/p>\n<p>\u90a3\u4e48\u6211\u4e5f\u5f00\u6446\uff0c\u4eba\u5b66\u4e0d\u4f1a\u5c31\u8ba9\u673a\u5668\u6765\u5b66\uff0c\u6211\u4eec\u5e0c\u671b\u80fd\u8ba9\u673a\u5668\u5b9e\u73b0\u8fd9\u6837\u4e00\u4e2a\u4efb\u52a1\uff0c\u4ece\u6211\u4eec\u7ed8\u5236\u7684\u6570\u636e\u96c6\u4e2d\u5b66\u4e60\u6574\u4f53\u52a8\u7ebf\u7684\u7ed3\u6784\uff0c\u5e76\u968f\u673a\/\u6839\u636e\u4e0a\u4e0b\u6587\u751f\u6210\u8bbe\u8ba1\u5e08\u6240\u9700\u7684\u52a8\u7ebf\u89c4\u5212\uff0c\u534f\u52a9\u5173\u5361\u8bbe\u8ba1\u3002<\/p>\n<p>\u200d<\/p>\n<h1>\u6570\u636e\u7ed3\u6784<\/h1>\n<p>\u638f\u51fa\u6211\u4eec\u624b\u4e2d\u73b0\u6709\u7684\u6570\u636e\uff0c\u5176\u8868\u73b0\u4e3a\u4e00\u4e2a(X,Y,Z)\u7684\u4e09\u5143\u7ec4\u5e8f\u5217<\/p>\n<table>\n<thead>\n<tr>\n<th>X<\/th>\n<th>Y<\/th>\n<th>Z<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>-5089.32<\/td>\n<td>8458.612<\/td>\n<td>-1097.92<\/td>\n<\/tr>\n<tr>\n<td>-5003.99<\/td>\n<td>8450.343<\/td>\n<td>-1085.51<\/td>\n<\/tr>\n<tr>\n<td>-4925.19<\/td>\n<td>8442.705<\/td>\n<td>-1074.06<\/td>\n<\/tr>\n<tr>\n<td>-4846.38<\/td>\n<td>8435.067<\/td>\n<td>-1062.6<\/td>\n<\/tr>\n<tr>\n<td>-4767.57<\/td>\n<td>8427.43<\/td>\n<td>-1051.14<\/td>\n<\/tr>\n<tr>\n<td>-4688.76<\/td>\n<td>8419.791<\/td>\n<td>-1039.69<\/td>\n<\/tr>\n<tr>\n<td>-4609.95<\/td>\n<td>8412.153<\/td>\n<td>-1028.23<\/td>\n<\/tr>\n<tr>\n<td>-4531.14<\/td>\n<td>8404.516<\/td>\n<td>-1016.77<\/td>\n<\/tr>\n<tr>\n<td>\u00b7\u00b7\u00b7<\/td>\n<td>\u00b7\u00b7\u00b7<\/td>\n<td>\u00b7\u00b7\u00b7<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u5982\u56fe\u6240\u793a\uff0c\u6458\u53d6\u4e86\u67d0\u5f20\u5730\u56fe\u4e2d\u7684\u8fde\u7eed\u5341\u4e2a\u6570\u636e\u70b9\u3002<\/p>\n<p>\u6211\u4eec\u83b7\u53d6\u6bcf\u5f20\u56fe\u7684\u6570\u636e\u4e3a\u957f\u7ea62k\u523010k\u7684\u4e09\u5143\u7ec4\u5e8f\u5217\uff0c\u6211\u4eec\u5e0c\u671b\u6a21\u578b\u80fd\u751f\u6210\u7b26\u5408\u9884\u671f\u7279\u5f81\u7684\u6307\u5b9a\u5e8f\u5217<\/p>\n<p>\u200d<\/p>\n<h1>\u95ee\u9898\u5206\u6790<\/h1>\n<p>\u90a3\u4e48\uff0c\u8be5\u95ee\u9898\u9996\u5148\u4e3a\u4e00\u4e2a\u5e8f\u5217\u751f\u6210\u95ee\u9898\uff0c\u5bf9\u4e8e\u6b64\u7c7b\u95ee\u9898\uff0c\u9996\u5148\u8003\u8651\u5230\u7684\u90fd\u662fTransformer\u7cfb\u5217\u6a21\u578b\u3002<\/p>\n<p>\u4f46\u662f\u5bf9\u4e8e\u8fd9\u4e2a\u60c5\u666f\uff0cTransformer\u5b58\u5728\u96be\u4ee5handle\u7684\u95ee\u9898\u3002\u4e3b\u8981\u8868\u73b0\u5728Transformer\u5bf9\u4e8e\u957f\u5e8f\u5217\u7684\u7f16\u7801\u7684\u7a7a\u95f4\u590d\u6742\u5ea6\u6307\u6570\u4e0a\u5347\uff0c\u4ee5\u53ca\u9010\u9879\u8f93\u51fa\u4e2d\u65f6\u95f4\u590d\u6742\u5ea6\u7684\u7d2f\u8ba1\u3002<\/p>\n<p>\u9664\u6b64\u4e4b\u5916\uff0c\u52a8\u7ebf\u5e8f\u5217\u8fd8\u6709\u51e0\u4e2a\u9700\u8981\u5efa\u6a21\u7684\u7279\u6027\u4e0e\u7ea6\u675f\u3002<\/p>\n<p>\u9996\u5148\uff0c\u6211\u4eec\u7ed9\u51fa\u7684\u5e8f\u5217\u5177\u6709\u56fa\u5b9a\u95f4\u9694\u7684\u6027\u8d28\uff0c\u4f46\u8fd9\u90e8\u5206\u7279\u5f81\u5e76\u975e\u662f\u663e\u5f0f\u7684\u7ea6\u675f\uff0c\u9700\u8981\u7f51\u7edc\u81ea\u884c\u5b66\u4e60\u3002<\/p>\n<p>\u5176\u6b21\uff0c\u5bf9\u4e8e\u9b42\u7cfb\u5173\u5361\u7684\u52a8\u7ebf\u751f\u6210\uff0c\u6211\u4eec\u5e0c\u671b\u5efa\u6a21\u9b42\u7cfb\u5173\u5361\u7684\u201c\u56de\u6eaf\u63a2\u7d22\u201d\u6027\u8d28\uff0c\u5373\u52a8\u7ebf\u65f6\u9694\u7279\u5b9a\u957f\u5ea6\u56de\u5230\u539f\u70b9\u7684\u6027\u8d28\uff0c\u5373\u6211\u4eec\u5e0c\u671b\u80fd\u8f83\u597d\u5730\u5bf9\u5168\u5c40\u7a7a\u95f4\u4fe1\u606f\u5b9e\u73b0\u50a8\u5b58\u3002<\/p>\n<p>\u8fd9\u4e9b\u9700\u6c42\u8981\u6c42\u6211\u4eec\u4f7f\u7528\u67d0\u4e9b\u6027\u8d28\u66f4\u4e3a\u4f18\u96c5\u548c\u7a33\u5b9a\u7684\u7f51\u7edc\u5c1d\u8bd5\u751f\u6210\u5de5\u4f5c\u3002<\/p>\n<p>\u200d<\/p>\n<h1>\u6a21\u578b\u53c2\u8003<\/h1>\n<p>\u5728\u7f51\u7edc\u8bbe\u8ba1\u6a21\u5757\u4e4b\u524d\uff0c\u6211\u4eec\u9009\u62e9\u4e86\u4e24\u4e2a\u4e3b\u8981\u53c2\u8003\u7684\u6a21\u578b<\/p>\n<ul>\n<li>\n<p>Diffusion<\/p>\n<ul>\n<li>\u88ab\u5e7f\u6cdb\u4f7f\u7528\u7684\u6269\u6563\u5f0f\u751f\u6210\u6a21\u578b<\/li>\n<li>\u9002\u5408\u7528\u4e8e\u5b66\u4e60\u5404\u79cd\u5206\u5e03\u4fe1\u606f<\/li>\n<li>\u5e76\u901a\u8fc7\u566a\u58f0\u751f\u6210\u4e0e\u6982\u7387\u65b9\u6cd5\u5bf9\u5206\u5e03\u8fdb\u884c\u751f\u6210\u5316\u7684\u6784\u5efa<\/li>\n<\/ul>\n<\/li>\n<li>\n<p>Informer<\/p>\n<ul>\n<li>Transformer\u7684\u4e00\u79cd\u53d8\u4f53<\/li>\n<li>\u5728\u8f93\u5165\u5c42\u548c\u8f93\u51fa\u5c42\u5bf9transformer\u7684\u65f6\u7a7a\u590d\u6742\u5ea6\u8fdb\u884c\u7b80\u5316<\/li>\n<li>\u4f7f\u7528\u7279\u5f81\u62fc\u8d34\u7b49\u65b9\u6cd5\u63d0\u70bc\u5e8f\u5217\u5168\u5c40\u4fe1\u606f<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>\u4e00\u65b9\u9762\uff0c\u6211\u4eec\u5e0c\u671b\u4f7f\u7528Informer\u589e\u5f3a\u7f51\u7edc\u5bf9\u4e8e\u52a8\u7ebf\u957f\u5e8f\u5217\u7684\u5b66\u4e60\u80fd\u529b<\/p>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u6211\u4eec\u5e0c\u671b\u4f7f\u7528Diffusion\u6a21\u5f0f\u6765\u5c06Informer\u64c5\u957f\u7684\u9884\u6d4b\u95ee\u9898\u8f6c\u5316\u4e3a\u751f\u6210\u95ee\u9898<\/p>\n<p>\u540c\u65f6\uff0c\u907f\u514dInformer\u5728\u5b66\u4e60\u65f6\u8fc7\u5ea6\u4f9d\u8d56\u90bb\u57df\u4fe1\u606f\uff0c\u5bf9\u5168\u5c40\u62df\u5408\u6548\u679c\u8f83\u5dee<\/p>\n<h2>Diffusion \u6a21\u578b<\/h2>\n<p>Diffusion\u7684\u4ecb\u7ecd\u53ef\u4ee5\u53c2\u8003\u6b64\u7bc7\u7b14\u8bb0\uff1a<a href=\"http:\/\/blog.cyasylum.top\/?p=445\">Diffusion<\/a><\/p>\n<p>\u5728\u6b64\u7b80\u8981\u4ecb\u7ecd\u5176\u601d\u60f3<\/p>\n<p><img decoding=\"async\" src=\"http:\/\/kodo.cyasylum.top\/siyuan\/202311051209940.png\" alt=\"image\" \/>\u200b<\/p>\n<p>\u6269\u6563\u6a21\u578b\u501f\u9274\u4e86\u52a8\u529b\u5b66\u4e2d\u7684\u6269\u6563\u601d\u60f3\uff0c\u8bbe\u8ba1\u4e86\u4e00\u4e2a\u53ef\u5b66\u4e60\u7684 <u>\u6dfb\u52a0\u566a\u58f0\uff0c\u5c06\u539f\u59cb\u5206\u5e03\u6253\u6563<\/u> \u7684\u8fc7\u7a0b<\/p>\n<p>\u5728\u751f\u6210\u4efb\u52a1\u4e2d\uff0c\u7f51\u7edc\u901a\u8fc7\u8fd9\u4e2a\u6253\u6563\u7684\u9006\u8fc7\u7a0b\uff0c\u4ece\u968f\u673a\u7684\u9ad8\u65af\u566a\u58f0\u4e2d\u8fdb\u884c\u63a8\u7406\uff0c\u5b9e\u73b0\u5bf9\u76ee\u6807\u5206\u5e03\u7684\u4fee\u590d<\/p>\n<p>\u200d<\/p>\n<p>\u73b0\u6709\u7684Diffusion\u6a21\u578b\uff0c\u4e3b\u8981\u88ab\u8fd0\u7528\u5728\u56fe\u50cf\u751f\u6210\u9886\u57df<\/p>\n<p>\u5728\u56fe\u50cf\u751f\u6210\u95ee\u9898\u4e2d\uff0cDiffusion\u5904\u7406\u7684\u662f$(H\\times W\\times C)$\u7a7a\u95f4\u4e2d\u6570\u636e\u70b9\u4fe1\u606f\u7684\u6269\u6563<\/p>\n<p>\u5bf9\u4e8e\u8fd9\u6837\u7684\u95ee\u9898\uff0cDiffusion\u9700\u8981\u4f7f\u7528\u6df1\u5ea6\u5b66\u4e60\u6a21\u578b\u8fdb\u884c\u566a\u58f0\u9884\u6d4b\uff0c\u7efc\u5408\u5168\u5c40\u7684\u56fe\u7d20\u4fe1\u606f\uff0c\u5e76\u4ee5\u6b64\u4e3a\u57fa\u7840\u63a8\u65ad\u5f53\u524d\u65f6\u523b\u5f53\u524d\u56fe\u7d20\u53ef\u80fd\u88ab\u6dfb\u52a0\u7684\u566a\u58f0\u3002<\/p>\n<p>\u6211\u4eec\u6240\u719f\u77e5\u7684Diffusion\u6a21\u578b\u591a\u6570\u91c7\u7528U-Net\u7684Encoder-Decoder\u7ed3\u6784\u6765\u89e3\u51b3\u8fd9\u4e2a\u63a8\u65ad\u95ee\u9898\uff0c\u5e76\u5f15\u5165\u4e86CLIP\u8fdb\u884c\u6587\u672c\u7f16\u7801\uff0c\u4ee5\u53caAttention\u7ed3\u6784\u7684QKV\u64cd\u4f5c\u4e3a\u6a21\u578b\u9884\u6d4b\u6ce8\u5165\u6240\u9700\u7684\u4fe1\u606f<\/p>\n<p>\u5982\u56fe\u4e3aStable Diffusion\u6240\u4f7f\u7528\u7684\u7f51\u7edc\u7ed3\u6784<\/p>\n<p><img decoding=\"async\" src=\"http:\/\/kodo.cyasylum.top\/siyuan\/202311051209094.png\" alt=\"image\" \/>\u200b<\/p>\n<p>\u200d<\/p>\n<p>\u5bf9\u5e94\u7684\uff0c\u8bd5\u56fe\u5c06Diffusion\u7528\u4e8e\u5e8f\u5217\u751f\u6210\u7684\u6211\u4eec\u5f97\u5230\u4e86\u4e00\u5b9a\u56e0\u5730\u5236\u5b9c\u7684\u7a7a\u95f4\uff0c\u5373\u6211\u4eec\u53ef\u4ee5\u8bbe\u8ba1\u4e00\u4e2a\u66f4\u6709\u6548\u4e14\u66f4\u5177\u9488\u5bf9\u6027\u7684\u7f16\u89e3\u7801\u7ed3\u6784\u6765\u5904\u7406\u5e8f\u5217\u95ee\u9898\u3002<\/p>\n<p>\u6211\u4eec\u7684\u5e8f\u5217\u751f\u6210\u95ee\u9898\u4e2d\uff0c\u5b9e\u9645\u5904\u7406\u7684\u662f$(N \\times \\mathbb R^3)$\u4e2d\u6570\u636e\u70b9\u4fe1\u606f\u7684\u6269\u6563\u3002\u5176\u4e2d\uff0c$\\mathbb R^3$\u7a7a\u95f4\u4e2d\u7684\u91c7\u6837\u53ef\u4ee5\u89c6\u4e3a\u4e00\u4e2a\u7279\u5f81\u5411\u91cf\uff0c\u5373\u6211\u4eec\u5b9e\u9645\u8f93\u5165\u7684\u662f\u957f\u4e3a$N$\uff0c\u7ef4\u5ea6\u4e3a$3$\u7684\u7279\u5f81\u5411\u91cf\u5e8f\u5217\u3002<\/p>\n<p>\u5373\uff0c\u6211\u4eec\u9700\u8981\u627e\u5230\u4e00\u4e2a\u7279\u6027\u5408\u9002\u7684\u7f51\u7edc\u6765\u5904\u7406\u4e00\u4e2a\u957f\u5e8f\u5217\u7684$(N \\times \\mathbb R^3)\\Rightarrow(N \\times \\mathbb R^3)$\u5e8f\u5217\u751f\u6210\u95ee\u9898\uff0c\u5373\u4e00\u4e2a\u4f7f\u7528Encoder-Decoder\u7ed3\u6784\u7684Seq2Seq\u6a21\u578b\uff0c\u4ee5\u533a\u522b\u4e8eU-Net\u7684Pix2Pix\u5b9e\u73b0\u3002<\/p>\n<p>\u4e3a\u6b64\u6211\u4eec\u9009\u53d6\u7684\u4e3b\u8981\u53c2\u8003\u5bf9\u8c61\u4e3aInformer<\/p>\n<p>\u200d<\/p>\n<h2>Informer \u6a21\u578b<\/h2>\n<p>\u5bf9\u4e8eTransformer\u5728\u957f\u5e8f\u5217\u95ee\u9898\u4e0a\u7684\u4e09\u4e2a\u7f3a\u70b9<\/p>\n<ul>\n<li>self-attention\u7684\u65f6\u7a7a\u590d\u6742\u5ea6\u4e3a$\\mathcal O (L^2)$\u200b<\/li>\n<li>memory\u74f6\u9888\uff0cencoder-decoder\u6808\u6240\u9700\u7684\u5185\u5b58\u91cf\u4e3a$\\mathcal O(NL^2)$\u200b<\/li>\n<li>transformer\u7684decoding\u8fc7\u7a0b\u4e3astep-by-step\uff0c\u56e0\u6b64inference\u6240\u9700\u65f6\u95f4\u8fc7\u957f<\/li>\n<\/ul>\n<p>\u5bf9\u6b64\uff0cInformer\u6a21\u578b\u5f15\u5165\u4e86\u4e09\u70b9\u6539\u8fdb\uff0c\u4f7f\u5f97\u5176\u80fd\u66f4\u597d\u5730\u5904\u7406\u957f\u5e8f\u5217\u95ee\u9898<\/p>\n<ul>\n<li>\u63d0\u51fa ProbSparse self-attention \u673a\u5236\u4ee3\u66ff inner product self-attention\uff0c\u4f7f\u5f97\u6ce8\u610f\u529b\u7684\u65f6\u7a7a\u590d\u6742\u5ea6\u964d\u4e3a $\\mathcal O (L \\log L)$\u200b<\/li>\n<li>\u63d0\u51fa self-attention distilling \u6765\u7a81\u51fa dominating score\uff0c\u7f29\u77ed\u6bcf\u4e00\u5c42\u8f93\u5165\u7684\u957f\u5ea6\uff0c\u964d\u4f4e\u7a7a\u95f4\u590d\u6742\u5ea6\u5230 $\\mathcal O((2-\\epsilon)L\\log L)$\u200b<\/li>\n<li>\u63d0\u51fa generative decoder \u6765\u8fdb\u884c\u8f93\u51fa\u9884\u6d4b\uff0c\u8fc7\u7a0b\u4ec5\u9700\u5355\u6b65\u524d\u5411\u8fc7\u7a0b\uff0c\u65f6\u95f4\u590d\u6742\u5ea6\u964d\u4f4e\u4e3a$\\mathcal O(1)$<\/li>\n<\/ul>\n<p>\u200d<\/p>\n<h3>Attention: ProbSparse self-attention<\/h3>\n<p>\u4f9d\u636e\u70b9\u79ef\u6ce8\u610f\u529b\u670d\u4ece\u957f\u5c3e\u5206\u5e03\u7684\u7ed3\u8bba\u5bf9Self-attention\u673a\u5236\u8fdb\u884c\u622a\u65ad<\/p>\n<p>\u901a\u8fc7\u91c7\u6837\u968f\u673aKey\u8ba1\u7b97\u6ce8\u610f\u529b\u4ee5\u5ea6\u91cfQuery\u7684\u6fc0\u6d3b\u7a0b\u5ea6<\/p>\n<p><img decoding=\"async\" src=\"http:\/\/kodo.cyasylum.top\/siyuan\/202311051209639.png\" alt=\"image\" \/>\u200b<\/p>\n<p>\u7b5b\u9009\u9ad8\u6743\u91cd\u7684$c\\ln L$\u4e2a Query \u7528\u4e8e\u538b\u7f29\u6574\u4f53\u8ba1\u7b97\u91cf<\/p>\n<p>\u200d<\/p>\n<h3>Encoder: Self-attention distilling<\/h3>\n<p><img decoding=\"async\" src=\"http:\/\/kodo.cyasylum.top\/siyuan\/202311051209834.png\" alt=\"image\" \/>\u200b<\/p>\n<p>\u4f7f\u7528\u82b1\u6d3b\u538b\u7f29 FeatureMap<\/p>\n<p>\u6709\u8f6e\u5b50\u5c31\u5b8c\u4e8b\u4e86\uff0c\u8c22\u8c22\u4f60\u5f00\u6e90\u4eba <a href=\"https:\/\/github.com\/zhouhaoyi\/Informer2020\" target=\"_blank\"  rel=\"nofollow\" >zhouhaoyi \/ Informer2020<\/a><\/p>\n<p>\u200d<\/p>\n<h3>Decoder: Generative inference<\/h3>\n<p>\u4f7f\u7528 generative inference \u6a21\u5f0f\u4e00\u6b21\u6027\u89e3\u7801\u6240\u6709\u5143\u7d20<\/p>\n<p>\u539f\u6587\u4e2d\u4f7f\u7528$X_{de}^t = \\text{Concat}(X_{\\text{token}}^t,X_0^t)\\in\\mathbb{R}^{(L_{\\text{token}}+L_y)\\times d_{\\text{model}}}$\u4f5c\u4e3a\u8f93\u5165\uff0c\u524d\u534a\u4e3aknown sequence\uff0c\u540e\u534a\u4e3a\u65f6\u95f4\u6b65\u7f16\u7801\u7684embedding\uff08\u5982\u5e74\u6708\u65e5\u65f6\u95f4\u6bb5\u3001\u91c7\u6837\u5c3a\u5ea6\u3001\u65f6\u95f4\u6b65\u957f\u7b49\uff09<\/p>\n<p>\u5728\u6211\u4eec\u7684\u95ee\u9898\u4e2d\u65e0\u9700Known Sequence\uff0c\u4f46positional embedding\u90e8\u5206\u4e5f\u9700\u8981\u53c2\u8003<\/p>\n<p>\u200d<\/p>\n<h2>Autoformer<\/h2>\n<p>\u6709\u4e00\u8bf4autoformer\u5bf9\u4e3b\u5e72\u7f51\u7edc\u7684\u81ea\u76f8\u5173\u7f16\u7801\u8bbe\u8ba1\u662f\u503c\u5f97\u53c2\u8003\u7684\uff0cbtw\uff0c\u61d2\u5f97\u53c2\u8003\u4e86<\/p>\n<p>\u200d<\/p>\n<h1>\u6a21\u578b\u6784\u5efa<\/h1>\n<p><img decoding=\"async\" src=\"http:\/\/kodo.cyasylum.top\/siyuan\/202311051208532.png\" alt=\"image\" \/>\u200b<\/p>\n<p>\u5982\u56fe\u6240\u793a\uff0c\u5373\u4e3a\u6211\u4eec\u6a21\u578b\u7684\u57fa\u7840\u6846\u67b6\uff0c\u867d\u7136\u8fd9\u5f20\u56fe\u662f\u6284\u6539\u6765\u7684\uff08<\/p>\n<p>\u8be5\u5c06Transformer\u7684\u5e8f\u5217\u751f\u6210\u7ed3\u6784\u7528\u4e8eDiffusion\u566a\u58f0\u9884\u6d4b\u7684\u7f51\u7edc\u5d4c\u5957\u7ed3\u6784\u5728\u4eba\u4f53\u52a8\u4f5c\u751f\u6210\u7684\u76f8\u5173\u9886\u57df\u88ab\u9a8c\u8bc1\uff0c\u51fa\u5904\u4e3a <a href=\"https:\/\/arxiv.org\/abs\/2209.14916\" target=\"_blank\"  rel=\"nofollow\" >Human Motion Diffusion Model<\/a> \u3002\u8be5\u6587\u7ae0\u4f7f\u7528Transformer\u548cCLIP\u6587\u672c\u5d4c\u5165\u5bf9SMPL\u4eba\u4f53\u8868\u793a\u6570\u636e\u5e8f\u5217\u4e2d\u7684\u566a\u58f0\u8fdb\u884c\u4fee\u590d\uff0c\u4ece\u800c\u642d\u914dDiffusion\u5b9e\u73b0\u52a8\u4f5c\u5e8f\u5217\u751f\u6210\u8fc7\u7a0b\uff0c\u5e76\u5bf9\u4ee3\u7801\u8fdb\u884c\u4e86\u5f00\u6e90 <a href=\"https:\/\/github.com\/GuyTevet\" target=\"_blank\"  rel=\"nofollow\" >GuyTevet<\/a>\/<a href=\"https:\/\/github.com\/GuyTevet\/motion-diffusion-model\" target=\"_blank\"  rel=\"nofollow\" ><span style=\"font-weight: bold;\" data-type=\"strong\">motion-diffusion-model<\/span><\/a><\/p>\n<p>\u6211\u4eec\u7684\u5de5\u4f5c\u4e5f\u53ef\u4ee5\u76f8\u5bf9\u81ea\u7136\u5730\u5efa\u7acb\u5728\u8be5\u5de5\u4f5c\u4e4b\u4e0a\u3002<\/p>\n<h2>\u751f\u6210\u8fc7\u7a0b<\/h2>\n<p>\u5982\u56fe\u6240\u793a\uff0c\u53f3\u4fa7\u4e3aDiffusion\u6a21\u578b\u7684\u751f\u6210\u8fc7\u7a0b\uff0c\u4f46\u662f<span style=\"font-weight: bold;\" data-type=\"strong\">\u5e76\u4e0d\u7ecf\u5178<\/span>\u3002<\/p>\n<p>\u8be5\u6a21\u578b\u4f7f\u7528\u4e86 <a href=\"https:\/\/arxiv.org\/abs\/2204.06125\" target=\"_blank\"  rel=\"nofollow\" >Hierarchical Text-Conditional Image Generation with CLIP Latents<\/a> \u4e2d\u7684\u751f\u6210\u65b9\u6cd5\uff0c\u76f4\u63a5\u5bf9\u539f\u59cb\u65e0\u566a\u58f0\u56fe\u50cf\u8fdb\u884c\u4f30\u8ba1\uff0c\u5e76\u4f7f\u7528Diffusion\u5728\u6269\u6563\u8fc7\u7a0b\u4e2d\u4f7f\u5176\u9010\u6e10\u7cbe\u7ec6\u5316\u3002<\/p>\n<p>\u9009\u7528\u8fd9\u4e2a\u6846\u67b6\u6709\u51e0\u4e2a\u4e3b\u8981\u7684\u56e0\u7d20<\/p>\n<ul>\n<li>\u5176\u4e00\u662f......\u6beb\u65e0\u7591\u95ee\u6284\u4ed6\u4ee3\u7801\u662f\u6700\u65b9\u4fbf\u7684<\/li>\n<li>\u5176\u4e8c\u5219\u662f\u5bf9\u4e8e\u6211\u4eec\u5177\u6709\u7a7a\u95f4\u7ea6\u675f\u7684\u8f93\u51fa\u9700\u6c42\uff08\u5373\u70b9\u7684\u7a33\u5b9a\u95f4\u9694\u4f5c\u4e3a\u7ea6\u675f\u53c2\u6570\uff09\uff0c\u5728\u5bf9\u566a\u58f0\u4f30\u8ba1\u8fdb\u884c\u53cd\u5411\u4f20\u64ad\u7684\u8fc7\u7a0b\u4e2d\u76d1\u7763\u96be\u5ea6\u8f83\u5927\uff0c\u76f8\u6bd4\u4e4b\u4e0b\u8be5\u6846\u67b6\u66f4\u6613\u4e8e\u7aef\u5230\u7aef\u8bad\u7ec3<\/li>\n<\/ul>\n<p>\u5bf9\u4e8e\u6bcf\u4e2a\u65f6\u95f4\u6b65\uff0c\u6a21\u578b\u4f7f\u7528\u4e09\u4e2a\u8f93\u5165\u53c2\u6570$(x_t,t,c)$\uff0c\u5176\u4e2d\u4e09\u4e2a\u53c2\u6570\u5206\u4e3a\u522b<\/p>\n<ul>\n<li>$x_t$: \u5f53\u524d\u65f6\u523b\u7684\u52a0\u566a\u6570\u636e<\/li>\n<li>$t$: \u5f53\u524d\u65f6\u523b\u503c<\/li>\n<li>$c$: \u5f53\u524d\u751f\u6210\u95ee\u9898\u7684\u63a7\u5236\u53c2\u6570<\/li>\n<\/ul>\n<p>\u6211\u4eec\u901a\u8fc7\u4e09\u7ec4\u53c2\u6570\u7684\u8f93\u5165\uff0c\u8bad\u7ec3Informer\u7f51\u7edc\u5bf9\u7eaf\u51c0\u539f\u59cb\u6570\u636e$x_0$\u7684\u4f30\u8ba1\uff0c\u53d6\u5f97$\\hat x_0$\u3002<\/p>\n<p>\u200d<\/p>\n<p>\u5728\u751f\u6210\u8fc7\u7a0b\u4e2d\uff0c\u6211\u4eec\u4f1a\u5bf9\u9884\u4f30\u7684\u539f\u59cb\u6570\u636e$\\hat x_0$\u91cd\u65b0\u6309\u7167$T-1$\u65f6\u523b\u7684\u6807\u51c6\u52a0\u566a\uff0c\u53bb\u9664\u9ad8\u9891\u4f4e\u54c1\u8d28\u7684\u7ec6\u8282\uff0c\u5e76\u4fdd\u5b58$T$\u5c42\u6b21\u7684\u4fe1\u606f\u3002\u7f51\u7edc\u5728\u8fed\u4ee3\u4e2d\u9010\u6e10\u8865\u9f50\u9ad8\u9891\u9ad8\u54c1\u8d28\u7684\u751f\u6210\u5185\u5bb9\uff0c\u4ece\u800c\u5f97\u5230\u6700\u7ec8\u5408\u7406\u7684\u7eaf\u51c0\u8f93\u51fa$x_0$<\/p>\n<p>\u200d<\/p>\n<h2>\u4f30\u8ba1\u8fc7\u7a0b<\/h2>\n<p>\u5bf9\u4e8e\u4f30\u8ba1\u8fc7\u7a0b\uff0c\u6211\u4eec\u4e3b\u8981\u8003\u8651\u8f93\u5165\u4e0e\u8f93\u51fa\u7684\u5f62\u6001\u5373\u8f93\u5165$(x_t,t,c)$\u5176\u5177\u4f53\u7ec4\u7ec7<\/p>\n<p>\u6574\u4f53\u53c2\u8003<a href=\"https:\/\/github.com\/GuyTevet\/motion-diffusion-model\" target=\"_blank\"  rel=\"nofollow\" ><span style=\"font-weight: bold;\" data-type=\"strong\">motion-diffusion-model<\/span><\/a>\u7684\u6a21\u578b\u65b9\u6848<\/p>\n<h3>\u7f51\u7edc\u8f93\u5165<\/h3>\n<p><span style=\"font-weight: bold;\" data-type=\"strong\">\u566a\u58f0\u8f93\u5165<\/span><\/p>\n<p>\u5bf9\u4e8e\u8f93\u5165\u5e8f\u5217$x_t [\\text{seqlen,bs,3}]$\uff0c\u5c06\u5176\u6620\u5c04\u81f3\u9884\u5b9a\u4e49\u7684\u8f93\u5165\u9690\u542b\u5c42\u7ef4\u5ea6latent_dim<\/p>\n<p>(64\u7ef4\u5e94\u8be5\u591f\u4e86)<\/p>\n<p>\u200d<\/p>\n<p><span style=\"font-weight: bold;\" data-type=\"strong\">\u63a7\u5236\u6761\u4ef6<\/span><\/p>\n<p>\u63a7\u5236\u6761\u4ef6\u4e3b\u8981\u4e3a$(t,c)$\u4e24\u9879\uff0c\u7528\u4e8e\u8f85\u52a9\u63a7\u5236\u566a\u58f0\u4f30\u8ba1\u751f\u6210\u7ed3\u679c<\/p>\n<p>\u5176\u4e2d$t$\u4e3a\u5f53\u524d\u65f6\u95f4\u6b65\uff0c\u53ef\u80fd\u53d61-50\u7684\u6574\u6570\uff0c\u4e3b\u8981\u7528\u4e8e\u8f85\u52a9\u6574\u7406\u8f93\u5165\u7279\u5f81\u3002<\/p>\n<p>\u200d<\/p>\n<p>\u53e6\u6709 $c$ \u4e3b\u8981\u7528\u4e8e\u63a7\u5236\u8f93\u51fa\u5f62\u5f0f\uff0c\u5728\u6211\u4eec\u7684\u60c5\u5883\u4e2d\u5176\u4e3b\u8981<span style=\"font-weight: bold;\" data-type=\"strong\">\u53ef\u80fd<\/span>\u7f16\u7801\u4ee5\u4e0b\u4fe1\u606f<\/p>\n<ul>\n<li>\u52a8\u7ebf\u5c3a\u5ea6 \u2014\u2014 \u63cf\u8ff0\u751f\u6210\u70b9\u4e4b\u95f4\u8ddd\u79bb\uff08\u5e8f\u5217\u5dee\u5411\u91cf<\/li>\n<li>\u573a\u666f\u5c3a\u5ea6 \u2014\u2014 \u63cf\u8ff0\u573a\u666f\u7684\u7eb5\u6df1\u8303\u56f4\uff08\u5404\u8f74\u5411\u6700\u5927\u6700\u5c0f<\/li>\n<li>\u52a8\u7ebf\u590d\u6742 \u2014\u2014 \u63cf\u8ff0\u52a8\u7ebf\u7684\u53d8\u5316\u9891\u7387\uff08\u5e8f\u5217\u5dee\u5411\u91cf\u53d8\u5316\u91cf\u7d2f\u79ef<\/li>\n<li>\u5730\u56fe\u7c7b\u578b \u2014\u2014 \u8bb0\u5f55\u5730\u56fe\u51fa\u5904\u7684\u7279\u5f81<\/li>\n<\/ul>\n<p>\u76ee\u524d\u6700\u4e3b\u8981\u8003\u8651\u5ea6\u91cf\u52a8\u7ebf\u5c3a\u5ea6\uff0c\u76f4\u89c2\u8868\u73b0\u4e3a\u7ea6\u675f\u751f\u6210\u70b9\u4e4b\u95f4\u7684\u8ddd\u79bb\uff0c\u76ee\u524d\u4ee5\u5398\u7c73\u4e3a\u5355\u4f4d\uff08\u539f\u59cb\u6570\u636e\u5c3a\u5ea6\u5747\u4e3a80\uff09\uff0c\u4e4b\u540e\u53ef\u80fd\u56de\u5728\u6570\u636e\u65b9\u9762\u8fdb\u884c\u8c03\u6574\u6216\u8005\u91cd\u65b0\u8dd1\u6570\u636e\u505a\u91c7\u6837<\/p>\n<p>\u8fd8\u6709\u9884\u5904\u7406\u6570\u636e\u83b7\u53d6\u573a\u666f\u5404\u8f74\u5411\u7eb5\u6df1\u4fe1\u606f\uff0c\u7528\u4e8e\u63a7\u5236\u6574\u4f53\u573a\u666f\u5927\u5c0f\u548c\u8fdb\u884c\u8f93\u5165\u6620\u5c04\uff08\u5f85\u5b9a\uff1f\uff09<\/p>\n<p>\u540e\u7eed\u4e5f\u53ef\u4ee5\u5c06\u5730\u56fe\u7c7b\u578b(\u5373\u6e38\u620f\u51fa\u5904)\u4f5c\u4e3aonehot\u5411\u91cf\u89c6\u4e3a\u8f93\u5165<\/p>\n<p>(\u8003\u8651\u589e\u8865)<\/p>\n<p>\u200d<\/p>\n<p>\u5bf9\u4e8e\u63a7\u5236\u6761\u4ef6\uff0c\u5404\u81ea\u53d6\u7f16\u7801\u6743\u91cd\u7f51\u7edc <code>TimestepEmbedder<\/code>\u200b \u548c <code>ConditionEmbedder<\/code>\u200b \u5c06\u5176\u7f16\u7801\u81f3\u76f8\u540c\u9690\u542b\u7ef4\u5ea6latent_dim\u4f5c\u4e3a\u7f51\u7edc\u8f93\u5165\uff0c\u5e76\u4e0e\u566a\u58f0\u8f93\u5165concat<\/p>\n<p>\u200d<\/p>\n<p>\u6700\u7ec8\u6709\u5904\u7406\u597d\u5bf9informer\u7f51\u7edc\u7684\u8f93\u5165\u4e3a$x[1+\\text{seqlen},\\text{bs},\\text{latent\\_dim}]$<\/p>\n<p>\u200d<\/p>\n<h3>\u7f51\u7edc\u8f93\u51fa<\/h3>\n<p>\u5bf9\u4e8einformer\u7f51\u7edc\u8f93\u51fa\u7684\u9884\u6d4b\u7ed3\u679c\uff0c\u5176\u5f62\u6001\u4e3a$[\\text{seqlen},\\text{bs},\\text{latent\\_dim}]$<\/p>\n<p>\u7ecf\u8fc7\u7ebf\u6027\u5c42\u53ef\u5f97\u6700\u7ec8\u8f93\u51fa\u7684\u4f30\u8ba1\u5e8f\u5217 $[\\text{seqlen},\\text{bs},3]$<\/p>\n<p>\u200d<\/p>\n<h2>\u8bad\u7ec3\u65b9\u6cd5<\/h2>\n<p>\u4f7f\u7528Diffusion\u6846\u67b6\u8fdb\u884c\u8bad\u7ec3\uff0c\u5728\u8f93\u5165\u8bbe\u8ba1\u65b9\u9762\u53ef\u80fd\u5b58\u5728\u4e24\u4e2a\u5206\u652f<\/p>\n<p>\u200d<\/p>\n<p><span style=\"font-weight: bold;\" data-type=\"strong\">\u4e00\u3001\u4f7f\u7528\u539f\u59cb\u8f93\u5165<\/span><\/p>\n<p>\u5bf9\u4e8e\u539f\u59cb\u8f93\u5165$x[\\text{seqlen},3]$\uff0c\u6211\u4eec\u4f9d\u636e\u573a\u666f\u5c3a\u5ea6\uff08\u53ef\u4ee5\u4e3a\u56fa\u5b9a\u7684$x:500,y:500,z:300$\uff0c\u4e5f\u53ef\u4ee5\u4e3a\u6839\u636e\u6bcf\u4e2a\u573a\u666f\u7684\u8f93\u5165\u5c3a\u5ea6\uff0c\u5373\u6700\u5927xyz\u4e09\u8f74\u5dee\u786e\u5b9a\uff09\u5bf9\u8f93\u5165\u4e2d\u6bcf\u4e2a\u8282\u70b9\u6dfb\u52a0\u9ad8\u65af\u566a\u58f0$z_t(\\sigma = (500,500,300) )$<\/p>\n<p><span style=\"font-weight: bold;\" data-type=\"strong\">\u4e8c\u3001\u4f7f\u7528\u6620\u5c04\u8f93\u5165\uff08\u8fd9\u6761\u5206\u652f\u5e94\u8be5\u4f1a\u66f4\u5408\u9002\u4e00\u70b9\uff09<\/span><\/p>\n<p>\u6709\u5bf9\u4e8e\u6bcf\u4e2a\u6570\u636e\u70b9\uff0c\u6211\u4eec\u901a\u8fc7\u8f93\u5165\u6570\u636e\u9884\u5b9a\u4e49\u7684\u63a7\u5236\u53c2\u6570$c$\uff0c\u5c06\u5176\u6620\u5c04\u81f3\u503c\u57df$[0,1]$\uff0c\u5e76\u5728\u6b64\u8303\u56f4\u5185\u901a\u8fc7\u9ad8\u65af\u566a\u58f0\u8fdb\u884c\u6269\u6563\uff0c\u5e76\u4f9d\u6b64\u9884\u6d4b\u6620\u5c04\u540e\u7684\u539f\u52a8\u7ebf\u6570\u636e\u3002<\/p>\n<p>\u5f53\u7136\u5bf9\u5e94\u7684\uff0c\u5728\u8ba1\u7b97\u635f\u5931\u65f6\u9700\u8981\u4f9d\u636e\u8f93\u5165$c$\u5728\u7a7a\u95f4\u5c3a\u5ea6\u4e0a\u5bf9\u8ddd\u79bb\u7ea6\u675f\u8fdb\u884c\u53d8\u5316\uff08\u89c1\u4e0b\u8fb9<\/p>\n<p>\u901a\u8fc7\u968f\u673a\u91c7\u6837\u83b7\u53d6\u4e0d\u540c\u65f6\u523b\u7684\u566a\u58f0\u56fe\u503c$x_t= \\sqrt{\\bar\\alpha_t}x_0 + \\sqrt{1-\\bar\\alpha_t} z_t$\u4f5c\u4e3a\u7f51\u7edc\u8f93\u5165\uff0c\u5e76\u4ee5\u9884\u6d4b\u539f\u59cb$x_0$\u4e3a\u76ee\u6807\u4f5c\u4e3a\u8f93\u51fa\u8bad\u7ec3Informer\u7f51\u7edc<\/p>\n<p>\u200d<\/p>\n<h3>\u635f\u5931\u51fd\u6570<\/h3>\n<p>\u635f\u5931\u51fd\u6570\u7531\u591a\u4e2a\u90e8\u5206\u7ec4\u6210<\/p>\n<h4>\u4e3b\u5e72\u90e8\u5206<\/h4>\n<p>\u4e3b\u5e72\u90e8\u5206\u901a\u8fc7MSE\u5747\u65b9\u8bef\u5dee\u51fd\u6570\u6784\u5efa<\/p>\n<p>$$L_{MSE} =\\frac{\\sum^n (f(x_t,t)-x_0)^2}{n}$$<\/p>\n<h4>\u7ea6\u675f\u90e8\u5206<\/h4>\n<p>\u8be5\u90e8\u5206\u4e3b\u8981\u9488\u5bf9\u63a7\u5236\u6761\u4ef6$c$\u505a\u6587\u7ae0\uff0c\u8c03\u8282\u53d7\u5230$c$\u63a7\u5236\u7684\u8f93\u51fa\u5206\u5e03<\/p>\n<p>\u4ee5\u52a8\u7ebf\u5c3a\u5ea6\u4f5c\u4e3a\u63a7\u5236\u6761\u4ef6\u4e3a\u4f8b\uff0c<\/p>\n<p>\u5bf9\u4e8e\u8f93\u51fa$\\hat{x}$\uff0c\u53ef\u83b7\u5f97\u5176\u9519\u4f4d\u76f8\u51cf\u5143\u7d20\u95f4\u8ddd\u79bb\u4e3a$x_\\text{dist} = \\text{Norm}(\\hat x[:n-1] - \\hat x[1:],2)$\uff0c\u6211\u4eec\u671f\u671b\u8be5\u5143\u7d20\u6240\u63cf\u8ff0\u7684\u8ddd\u79bb\u8d8b\u8fd1\u4e8e\u8f93\u5165\u7684$c$\u503c\uff0c\u56e0\u6b64\u6709\u4f9d\u636eMSE\u6784\u5efa\u7684\u52a8\u7ebf\u5c3a\u5ea6\u7684\u635f\u5931\u5982\u4e0b<\/p>\n<p>$$L<em>c = \\frac{\\sum^n (x<\/em>\\text{dist}-c)^2}{n}$$<\/p>\n<p>\u540c\u6837\uff0c\u5bf9\u4e8e\u540e\u7eed\u5176\u5b83\u53ef\u80fd\u5f15\u5165\u7684\u7ea6\u675f\u53ef\u4ee5\u7559\u6709\u63a5\u53e3\u4ee5\u76f8\u4f3c\u7684\u5f62\u5f0f\u63a5\u5165\u5230\u635f\u5931\u8bad\u7ec3\u4e2d<\/p>\n<p>\u200d<\/p>\n<h2>\u6570\u636e\u5904\u7406<\/h2>\n<p>\u200d<\/p>\n<p>\u5728\u6570\u636e\u5904\u7406\u90e8\u5206\uff0c\u4e3b\u8981\u8003\u8651\u628a\u76f8\u5bf9\u8d2b\u7620\u7684\u6570\u636e\u53d8\u5316\u6210\u66f4\u591a\u5f62\u6001\uff08\u91c7\u6837\u5c3a\u5ea6\/\u6570\u636e\u589e\u5f3a\u7b49\uff09\uff0c\u540c\u65f6\u9700\u8981\u8003\u8651\u63d0\u70bc\u51fa\u90e8\u5206\u6613\u4e8e\u76d1\u7763\u7684\u7279\u5f81\uff0c\u8f85\u52a9\u7f51\u7edc\u751f\u6210\u6211\u4eec\u671f\u671b\u7684\u52a8\u7ebf\u5f62\u5f0f\u3002<\/p>\n<p>\u200d<\/p>\n<p>\u6709\u5bf9\u4e8e\u539f\u59cb\u6570\u636e$x_r[\\text{seqlen},3]\\in 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