{"id":40143,"date":"2025-04-15T22:02:46","date_gmt":"2025-04-15T14:02:46","guid":{"rendered":"https:\/\/17aitech.com\/?p=40143"},"modified":"2025-04-15T22:02:46","modified_gmt":"2025-04-15T14:02:46","slug":"iclr-2025-%e4%b8%80%e8%a1%8c%e4%bb%a3%e7%a0%81%ef%bc%81fredf%e9%a2%91%e5%9f%9f%e6%8d%9f%e5%a4%b1%e7%a8%b3%e5%ae%9a%e6%8f%90%e5%8d%87%e6%97%b6%e9%97%b4%e5%ba%8f%e5%88%97%e9%a2%84%e6%b5%8b%e7%b2%be","status":"publish","type":"post","link":"https:\/\/17aitech.com\/?p=40143","title":{"rendered":"ICLR 2025 | \u4e00\u884c\u4ee3\u7801\uff01FreDF\u9891\u57df\u635f\u5931\u7a33\u5b9a\u63d0\u5347\u65f6\u95f4\u5e8f\u5217\u9884\u6d4b\u7cbe\u5ea6"},"content":{"rendered":"<p>\u6587\u7ae0\u6765\u6e90\u4e8e\u4e92\u8054\u7f51:<a href=\"https:\/\/www.jiqizhixin.com\/articles\/2025-04-15-10\" target=\"_blank\">ICLR 2025 | \u4e00\u884c\u4ee3\u7801\uff01FreDF\u9891\u57df\u635f\u5931\u7a33\u5b9a\u63d0\u5347\u65f6\u95f4\u5e8f\u5217\u9884\u6d4b\u7cbe\u5ea6<\/a><\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-073a00d41b5ffb615b1fb08a44309b2b.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-073a00d41b5ffb615b1fb08a44309b2b.png\"><\/a><\/p>\n<p><strong>\u672c\u6587\u7531\u6d59\u6c5f\u5927\u5b66\u3001\u4e2d\u5357\u5927\u5b66\u3001\u4e0a\u6d77\u4ea4\u901a\u5927\u5b66\u3001Tiktok\u3001\u5317\u4eac\u5927\u5b66\u3001\u5357\u6d0b\u7406\u5de5\u5927\u5b66\u8054\u5408\u5b8c\u6210\u3002\u7b2c\u4e00\u4f5c\u8005\u738b\u6d69\u4e3a\u6d59\u6c5f\u5927\u5b66\u7855\u535a\u8fde\u8bfb\u751f\uff0c\u53d1\u8868NeurIPS\u3001ICLR\u3001KDD\u3001WWW\u3001TOIS\u7b49\u9876\u7ea7\u4f1a\u8bae\u548c\u671f\u520a\u5341\u4f59\u7bc7\u3002\u901a\u8baf\u4f5c\u8005\u4e3a\u5317\u4eac\u5927\u5b66\u674e\u660a\u8f69\u52a9\u7406\u7814\u7a76\u5458\u548c\u5357\u6d0b\u7406\u5de5\u5927\u5b66\u9676\u5927\u7a0b\u6559\u6388\u3002<\/strong><\/p>\n<p data-pm-slice=\"0 0 []\">\u65f6\u95f4\u5e8f\u5217\u9884\u6d4b\u5728\u6c14\u8c61\u9884\u62a5\u3001\u5de5\u4e1a\u8bbe\u5907\u7ef4\u62a4\u3001\u533b\u7597\u76d1\u6d4b\u7b49\u9886\u57df\u5177\u6709\u5173\u952e\u5e94\u7528\u4ef7\u503c\u3002\u672c\u6587\u63ed\u793a\u73b0\u6709\u65b9\u6cd5\u5ffd\u7565\u4e86<strong>\u6807\u7b7e\u5e8f\u5217\u4e2d\u7684\u81ea\u76f8\u5173\u6027<\/strong>\uff0c\u5bfc\u81f4\u8bad\u7ec3\u76ee\u6807\u6709\u504f\u3002\u8fdb\u4e00\u6b65\uff0c\u63d0\u51fa\u4e00\u79cd\u57fa\u4e8e\u9891\u57df\u6807\u7b7e\u8bad\u7ec3\u7684\u65b0\u8303\u5f0f\u2014\u2014FreDF\uff0c\u53ea\u9700\u52a0\u5165\u4e00\u884c\u4ee3\u7801\uff0c\u5373\u53ef\u5728\u4e3b\u6d41\u6a21\u578b\u4e0a\u5b9e\u73b0\u9884\u6d4b\u7cbe\u5ea6\u7684\u7a33\u5b9a\u63d0\u5347\u3002<\/p>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-1fac7b8aff777c7885bb7e9cfe95b213.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-1fac7b8aff777c7885bb7e9cfe95b213.png\"><\/a><\/section>\n<ul>\n<li>\n<p data-pm-slice=\"0 0 []\">\u8bba\u6587\u6807\u9898\uff1aFreDF: Learning to Forecast in the Frequency Domain<\/p>\n<\/li>\n<li>\n<p data-pm-slice=\"0 0 []\">\u8bba\u6587\u5730\u5740\uff1ahttps:\/\/openreview.net\/forum?id=4A9IdSa1ul<\/p>\n<\/li>\n<li>\n<p data-pm-slice=\"0 0 []\">\u4ee3\u7801\u5730\u5740\uff1ahttps:\/\/github.com\/Master-PLC\/FreDF<\/p>\n<\/li>\n<\/ul>\n<section><strong>\u88ab\u5ffd\u89c6\u7684\u6807\u7b7e\u81ea\u76f8\u5173\u6027<\/strong><\/section>\n<section><\/section>\n<section>\u65f6\u95f4\u5e8f\u5217\u4e2d\u7684\u81ea\u76f8\u5173\u6027\u6307\u7684\u662f\u300c\u5e8f\u5217\u5728\u4e0d\u540c\u65f6\u95f4\u6b65\u4e4b\u95f4\u7684\u76f8\u5173\u6027\u300d\uff0c\u5728\u65f6\u95f4\u5e8f\u5217\u9884\u6d4b\u4e2d\uff0c\u8fd9\u79cd\u81ea\u76f8\u5173\u6027\u65e2\u5b58\u5728\u4e8e\u6a21\u578b\u7684\u8f93\u5165\u5e8f\u5217\uff08\u5386\u53f2\u89c2\u6d4b\u503c\u4e4b\u95f4\u7684\u76f8\u5173\u6027\uff09\uff0c\u4e5f\u5b58\u5728\u4e8e\u6807\u7b7e\u5e8f\u5217\uff08\u4e0d\u540c\u6b65\u6807\u7b7e\u4e4b\u95f4\u7684\u76f8\u5173\u6027\uff09\u3002\u7136\u800c\uff0c\u73b0\u6709\u65b9\u6cd5\uff08\u5982 Transformer\u3001LSTM \u7b49\uff09<strong>\u4e3b\u8981\u805a\u7126\u4e8e\u8f93\u5165\u5e8f\u5217\u7684\u81ea\u76f8\u5173\u5efa\u6a21\uff0c\u666e\u904d\u5ffd\u89c6\u4e86\u6807\u7b7e\u5e8f\u5217\u81ea\u76f8\u5173\u6027\u7684\u5f71\u54cd\u3002 <\/strong><\/section>\n<section><\/section>\n<section>\u5177\u4f53\u800c\u8a00\uff0c\u4e3b\u6d41\u7684\u76f4\u63a5\u9884\u6d4b\u8303\u5f0f\uff08Direct Forecast\uff0cDF\uff09\u901a\u8fc7\u591a\u4efb\u52a1\u5b66\u4e60\u540c\u65f6\u9884\u6d4b\u591a\u6b65\u6807\u7b7e\uff0c\u5176\u635f\u5931\u51fd\u6570\u4e3a\uff1a<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-7f41a538e3751f246009ec2408e1c5e3.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-7f41a538e3751f246009ec2408e1c5e3.png\"><\/a><\/section>\n<p>\u5176\u4e2d\uff0c<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-9bf6a9a122dedcb5b24921dd79c1837a.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-9bf6a9a122dedcb5b24921dd79c1837a.png\"><\/a>\u4e3a\u6807\u7b7e\uff0c<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-2f979fa47f398fb8bc210738a6adbd56.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-2f979fa47f398fb8bc210738a6adbd56.png\"><\/a>\u4e3a\u9884\u6d4b\u503c\u3002\u8be5\u65b9\u6cd5<strong>\u9690\u5f0f\u5047\u8bbe\u6807\u7b7e\u5e8f\u5217\u5728\u7ed9\u5b9a\u8f93\u5165\u65f6\u6761\u4ef6\u72ec\u7acb<\/strong>\uff08\u8fd9\u6837\u6781\u5927\u4f3c\u7136\u624d\u7b49\u4ef7\u4e8e\u6700\u5c0f\u5316 MSE\uff09\u3002\u4f46\u65f6\u95f4\u5e8f\u5217\u9884\u6d4b\u4efb\u52a1\u4e2d\uff0c\u6807\u7b7e\u5e8f\u5217\u5f80\u5f80\u5448\u73b0\u663e\u8457\u7684\u81ea\u76f8\u5173\u6027\u3002\u56e0\u6b64\uff0c\u73b0\u6709 DF \u65b9\u6cd5\u4e0e\u65f6\u5e8f\u6570\u636e\u751f\u6210\u673a\u5236\u5b58\u5728\u5931\u914d\u3002\u00a0<\/p>\n<p><strong>\u3010\u5f62\u5f0f\u5316\u3011\u6839\u636e\u5b9a\u7406 3.1\uff1a\u5f53\u6807\u7b7e\u4e4b\u95f4\u7684\u76f8\u5173\u7cfb\u6570\u5927\u4e8e 0 \u65f6\uff0cDF \u65b9\u6cd5\u7684\u635f\u5931\u51fd\u6570\u76f8\u6bd4\u5bf9\u6570\u4f3c\u7136\u51fd\u6570\u6709\u504f\u3002<\/strong><\/p>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-a4d9fafe682bce8e171cc28097b9b185.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-a4d9fafe682bce8e171cc28097b9b185.png\"><\/a><\/section>\n<section><strong>\u4f7f\u7528\u9891\u57df\u6807\u7b7e\u8bad\u7ec3\u65f6\u95f4\u5e8f\u5217\u6a21\u578b\u00a0<\/strong><\/section>\n<section><strong><br \/><\/strong><\/section>\n<section><strong>Motivation <\/strong><\/section>\n<section><\/section>\n<section>FreDF \u7684\u6838\u5fc3\u662f\u5229\u7528\u5085\u91cc\u53f6\u53d8\u6362\u5c06\u6807\u7b7e\u5e8f\u5217\u6295\u5f71\u5230\u9891\u57df\u3002\u5728\u9891\u57df\u4e2d\uff0c\u4e0d\u540c\u6807\u7b7e\u4e4b\u95f4\u7684\u76f8\u5173\u6027\u88ab\u6709\u6548\u6291\u5236\u3002\u8fd9\u4e00\u9884\u671f\u7b26\u5408\u76f4\u89c9\uff1a\u9891\u7387 k \u5904\u7684\u9891\u8c31\u5206\u91cf\u4e00\u822c\u4e0d\u4f9d\u8d56\u4e8e\u9891\u7387 k&#8217;<\/p>\n<p>\u7531\u4e8e\u9891\u57df\u4e2d\u6807\u7b7e\u4e4b\u95f4\u7684\u76f8\u5173\u6027\u88ab\u6291\u5236\uff0c\u6839\u636e\u5b9a\u7406 3.1\uff0c\u5728\u9891\u57df\u8ba1\u7b97\u7684\u635f\u5931\u51fd\u6570\uff08\u5982 MSE\u3001MAE\uff09\u76f8\u5bf9\u5bf9\u6570\u4f3c\u7136\u51fd\u6570\u65e0\u504f\u3002<\/p>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-e0e97a26a910a51d967eb401a511f32f.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-e0e97a26a910a51d967eb401a511f32f.png\"><\/a><\/section>\n<p><sup>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u56fe 1. \u6807\u7b7e\u5e8f\u5217\u4e2d\u7684\u81ea\u76f8\u5173\u6027\u5206\u6790\u3002<\/sup><\/p>\n<p><strong>\u6848\u4f8b\u5206\u6790<\/strong>\uff1a\u56fe 1\uff08a\uff09<strong>\u5c55\u793a\u4e86\u81ea\u76f8\u5173\u6027\u5728\u751f\u6210\u6807\u7b7e\u5e8f\u5217\u4e2d\u7684\u5f71\u54cd<\/strong>\uff1a\u7b2c t \u65f6\u523b\u7684\u6807\u7b7e\u4e0d\u4ec5\u548c\u8f93\u5165\u6709\u5173\uff0c\u4e5f\u548c\u4e0a\u4e00\u65f6\u523b\u7684\u72b6\u6001\u6709\u5173\u3002\u56fe 2\uff08b-d\uff09\u91cf\u5316\u4e86\u7ed9\u5b9a\u8f93\u5165\u540e\uff0c\u4e0d\u540c\u6807\u7b7e\u5728\u65f6\u57df\u548c\u9891\u57df\u7684\u81ea\u76f8\u5173\u5f3a\u5ea6\u3002<strong>\u7ed3\u679c\u8868\u660e\uff1a\u6807\u7b7e\u5e8f\u5217\u7684\u81ea\u76f8\u5173\u6027\u5728\u65f6\u57df\u4e2d\u663e\u8457\uff0c\u5728\u9891\u57df\u4e2d\u88ab\u6291\u5236<\/strong>\u3002<\/p>\n<p><strong>\u5b9e\u73b0\u65b9\u6cd5 <\/strong><\/p>\n<p>\u53d7 <span data-pm-slice='1 1 [\"para\",{\"tagName\":\"section\",\"attributes\":{\"style\":\"line-height: 1.75em;text-align: left;margin-left: 8px;margin-right: 8px;\"},\"namespaceURI\":\"http:\/\/www.w3.org\/1999\/xhtml\"},\"node\",{\"tagName\":\"span\",\"attributes\":{\"style\":\"font-size: 15px;font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, \"Helvetica Neue\", \"PingFang SC\", \"Hiragino Sans GB\", \"Microsoft YaHei UI\", \"Microsoft YaHei\", Arial, sans-serif;letter-spacing: 0.034em;background-color: transparent;\"},\"namespaceURI\":\"http:\/\/www.w3.org\/1999\/xhtml\"}]'>Motivation \u8282\u542f\u53d1\uff0cFreDF \u63d0\u51fa\u4e86\u4e00\u79cd\u57fa\u4e8e\u9891\u57df\u6807\u7b7e\u7684\u6a21\u578b\u8bad\u7ec3\u65b9\u6cd5\uff0c\u5177\u4f53\u6b65\u9aa4\u5982\u4e0b\uff1a<\/span><\/p>\n<ul>\n<li>\n<section>\u4f7f\u7528\u5085\u91cc\u53f6\u53d8\u6362\u5c06\u6807\u7b7e\u5e8f\u5217\u4ece\u65f6\u57df\u8f6c\u6362\u5230\u9891\u57df\uff1a<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-f26711201379e609d246f94db302bd89.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-f26711201379e609d246f94db302bd89.png\"><\/a> \u3002\u6807\u7b7e\u5e8f\u5217\u7684\u81ea\u76f8\u5173\u6027\u5728\u9891\u57df\u4e2d\u88ab\u6709\u6548\u6291\u5236\u3002\u7c7b\u4f3c\u5730\uff0c\u5c06\u6a21\u578b\u7684\u65f6\u57df\u9884\u6d4b\u503c\u7531\u65f6\u57df\u53d8\u6362\u5230\u9891\u57df\uff1a<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-3d93c6c3177b02969c81a00277ef9b27.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-3d93c6c3177b02969c81a00277ef9b27.png\"><\/a>\u3002<\/section>\n<\/li>\n<li>\n<section>\u8ba1\u7b97\u9891\u57df\u635f\u5931\uff1a<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-cc2fc877d3955251df34d847fe8b76f1.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-cc2fc877d3955251df34d847fe8b76f1.png\"><\/a>\u3002<\/section>\n<\/li>\n<li>\n<section>\u878d\u5408\u65f6\u9891\u635f\u5931\uff1a<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-df39a8934daf7bea37df31a938d3e2b4.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-df39a8934daf7bea37df31a938d3e2b4.png\"><\/a>\u3002<strong>\u8fd9\u4e00\u6b65\u662f\u53ef\u9009\u7684\u2014\u2014\u9891\u57df\u635f\u5931\u5355\u72ec\u4f7f\u7528\uff0c\u5373\u53ef\u5403\u4e0b\u7edd\u5927\u591a\u6570\u6027\u80fd\u6536\u76ca<\/strong>\u3002<\/section>\n<\/li>\n<\/ul>\n<p>FreDF \u65b9\u6cd5\u652f\u6301\u591a\u79cd\u9884\u6d4b\u6a21\u578b\uff08\u5982 Transformer\u3001MLP \u7b49\uff09\uff0c\u5176\u5b9e\u73b0\u975e\u5e38\u7b80\u5355\uff1a\u53ea\u9700\u5728\u6a21\u578b\u7684\u635f\u5931\u51fd\u6570\u4e2d\u6dfb\u52a0\u9891\u57df\u635f\u5931\u5373\u53ef\u3002\u4ee5\u4e0b\u662f\u4e00\u4e2a\u57fa\u4e8e PyTorch \u7684\u7b80\u5355\u5b9e\u73b0\u793a\u4f8b\uff0c\u5176\u4e2d <code>outputs<\/code> \u4e3a\u6a21\u578b\u7684\u65f6\u57df\u9884\u6d4b\u503c\uff0c<code>batch_y<\/code> \u4e3a\u6807\u7b7e\u5e8f\u5217\u3002<\/p>\n<section>\n<pre data-lang=\"ini\"><code># \u539f\u65f6\u57df\u635f\u5931<\/code>\r\n<code>loss_tmp\u00a0= ((outputs-batch_y)**2).mean()<\/code>\r\n<code># \u6240\u63d0\u9891\u57df\u635f\u5931<\/code>\r\n<code>loss_feq\u00a0= (torch.fft.rfft(outputs, dim=1) - torch.fft.rfft(batch_y, dim=1)).abs().mean()\u00a0<\/code>\r\n<code># \u6ce8\u91ca1. \u9891\u57df\u635f\u5931\u53ef\u4e0e\u65f6\u57df\u635f\u5931\u52a0\u6743\u878d\u5408\uff0c\u4e5f\u53ef\u5355\u72ec\u4f7f\u7528\uff0c\u4e00\u822c\u5747\u6709\u6027\u80fd\u63d0\u5347\uff0c\u89c1\u7075\u654f\u5ea6\u5b9e\u9a8c\u90e8\u5206\u3002<\/code>\r\n<code># \u6ce8\u91ca2. \u9891\u57df\u635f\u5931\u4f7f\u7528MAE\u800c\u4e0d\u662fMSE\uff0c\u662f\u56e0\u4e3a\u4e0d\u540c\u9891\u8c31\u5206\u91cf\u7684\u91cf\u7ea7\u76f8\u5dee\u975e\u5e38\u5927\u3002\u4f7f\u7528MSE\u4f1a\u8fdb\u4e00\u6b65\u653e\u5927\u8fd9\u79cd\u5dee\u5f02\uff0c\u5bfc\u81f4\u4f18\u5316\u8fc7\u7a0b\u4e0d\u7a33\u5b9a\u3002\u00a0<\/code><\/pre>\n<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-9ca1d42f3e57e579635686cf8594ef39.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-9ca1d42f3e57e579635686cf8594ef39.png\"><\/a><\/section>\n<p><sup>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u56fe 2. FreDF \u5de5\u4f5c\u6d41\u3002<\/sup><\/p>\n<section><strong>\u5b9e\u9a8c\u7ed3\u679c<\/strong><\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-c715c0b49de27d9f91d3e261d36b93d0.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-c715c0b49de27d9f91d3e261d36b93d0.png\"><\/a><\/section>\n<p>FreDF \u53ef\u4ee5\u663e\u8457\u63d0\u9ad8\u9884\u6d4b\u6027\u80fd\u3002\u4ee5 ETTm1 \u6570\u636e\u96c6\u4e3a\u4f8b\uff0cFreDF \u5c06 iTransformer \u7684 MSE \u964d\u4f4e\u4e86 0.019\uff0c\u8fd9\u4e00\u6539\u8fdb\u4e0e\u8fc7\u53bb 1.5 \u5e74\u4e2d\u8be5\u6570\u636e\u96c6\u6027\u80fd\u63d0\u5347\u76f8\u5f53\uff08Fedformer \u5230 TimesNet\uff0cMSE \u964d\u4f4e\u4e86 0.017\uff09\u3002\u8fd9\u8bf4\u660e\u901a\u8fc7\u5904\u7406\u6807\u7b7e\u4e2d\u7684\u81ea\u76f8\u5173\u6027\uff0cFreDF \u53ef\u4ee5\u663e\u8457\u63d0\u5347\u6a21\u578b\u7684\u9884\u6d4b\u6027\u80fd\u3002<\/p>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-8ace6da7920161d67aa72eed1711ac11.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-8ace6da7920161d67aa72eed1711ac11.png\"><\/a><\/section>\n<p>FreDF \u5728\u77ed\u671f\u9884\u6d4b\u4efb\u52a1\u4e0a\u4e5f\u6709\u663e\u8457\u63d0\u5347\u3002\u5728 M4 \u6570\u636e\u96c6\u4e0a\uff0cFreDF \u589e\u5f3a\u7684 FreTS \u5728 3 \u4e2a\u6307\u6807\u4e0a\u5747\u5e73\u5747\u4f18\u4e8e\u539f\u751f FreTS \u548c\u57fa\u7ebf\u6a21\u578b\u3002FreDF \u5728\u957f\u671f\u548c\u77ed\u671f\u9884\u6d4b\u4efb\u52a1\u4e0a\u90fd\u5c55\u73b0\u51fa\u4e86\u826f\u597d\u7684\u6027\u80fd\uff0c\u8bc1\u660e\u4e86\u5176\u4f5c\u4e3a\u4e00\u79cd\u901a\u7528\u9884\u6d4b\u8303\u5f0f\u7684\u6f5c\u529b\u3002<\/p>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-2acb3557b7938355bc1ac53de5083874.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-2acb3557b7938355bc1ac53de5083874.png\"><\/a><\/section>\n<p>\u8bba\u6587\u8fd8\u8fdb\u884c\u4e86\u6d88\u878d\u5b9e\u9a8c\uff0c\u7814\u7a76\u65f6\u57df\u635f\u5931\u3001\u9891\u57df\u635f\u5931\u5bf9\u6a21\u578b\u6027\u80fd\u7684\u8d21\u732e\u3002\u7ed3\u679c\u8868\u660e\uff1a\u4ec5\u4f7f\u7528\u9891\u57df\u635f\u5931\u5373\u53ef\u53d6\u5f97\u663e\u8457\u7684\u6027\u80fd\u6539\u8fdb\uff0c\u800c\u9002\u5f53\u878d\u5408\u65f6\u57df\u635f\u5931\u53ef\u4ee5\u8fdb\u4e00\u6b65\u4f18\u5316\u6027\u80fd\u3002<\/p>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-928586349ecc3d0963ccb39a5678d6d0.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-928586349ecc3d0963ccb39a5678d6d0.png\"><\/a><\/section>\n<p>\u8fdb\u4e00\u6b65\u7ec6\u5316\u6d88\u878d\u5b9e\u9a8c\uff0c\u7814\u7a76\u6743\u91cd \u03b1 \u5bf9\u6027\u80fd\u7684\u5f71\u54cd\u3002\u5728\u7edd\u5927\u591a\u6570\u60c5\u51b5\u4e0b\uff0c\u9891\u57df\u635f\u5931\u7684\u6027\u80fd\u5747\u4f18\u4e8e\u65f6\u57df\u635f\u5931\uff08\u03b1=1 vs \u03b1=0\uff09\u3002\u8fd9\u8bf4\u660e\u5373\u4f7f\u4e0d\u5bf9 \u03b1 \u505a\u8c03\u8282\uff0c\u76f4\u63a5\u5c06\u65f6\u57df\u635f\u5931\u66ff\u6362\u4e3a\u9891\u57df\u635f\u5931\uff0c\u4e5f\u53ef\u4ee5\u6709\u6548\u63d0\u5347\u65f6\u5e8f\u9884\u6d4b\u6027\u80fd\uff0c\u771f\u6b63\u5b9e\u73b0\u300c\u4e00\u884c\u4ee3\u7801\u6da8\u70b9\u300d\u3002\u6b64\u5916\uff0c\u9884\u6d4b\u6027\u80fd\u4e00\u822c\u5728 \u03b1 \u63a5\u8fd1 1\uff08\u5982 0.8 \u6216 0.9\uff09\u65f6\u6700\u4f73\u3002\u8fd9\u610f\u5473\u7740\u5728\u65f6\u57df\u548c\u9891\u57df\u635f\u5931\u4e4b\u95f4\u53d6\u5f97\u9002\u5f53\u7684\u5e73\u8861\uff0c\u5e76\u9002\u5f53\u5f3a\u8c03\u9891\u57df\u635f\u5931\uff0c\u53ef\u4ee5\u83b7\u5f97\u8f83\u597d\u7684\u9884\u6d4b\u7ed3\u679c\u3002<\/p>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-6d4726f37344e73a6b8d622eed800562.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-6d4726f37344e73a6b8d622eed800562.png\"><\/a><\/section>\n<p>\u901a\u8fc7\u53ef\u89c6\u5316\u9884\u6d4b\u5e8f\u5217\u53d1\u73b0\uff0cFreDF \u751f\u6210\u7684\u9884\u6d4b\u5e8f\u5217\u4e0e\u771f\u5b9e\u6807\u7b7e\u5e8f\u5217\u4e4b\u95f4\u7684\u62df\u5408\u5ea6\u66f4\u9ad8\uff0c\u80fd\u591f\u66f4\u51c6\u786e\u5730\u6355\u6349\u5230\u6807\u7b7e\u5e8f\u5217\u4e2d\u7684\u9ad8\u9891\u6210\u5206\uff0c\u540c\u65f6\u6291\u5236\u660e\u663e\u7684\u566a\u58f0\u548c\u5f02\u5e38\u6ce2\u52a8\u3002\u8fd9\u8bf4\u660e\u9891\u57df\u635f\u5931\u53ef\u4ee5\u5728\u4e00\u5b9a\u7a0b\u5ea6\u4e0a\u6291\u5236\u65f6\u57df\u635f\u5931\u7684\u8fc7\u62df\u5408\uff0c\u4fdd\u6301\u8f83\u597d\u7684\u6cdb\u5316\u80fd\u529b\u3002<\/p>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-5bb3580bcc4383d056fea790d3f22893.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-5bb3580bcc4383d056fea790d3f22893.png\"><\/a><\/section>\n<p>\u8bba\u6587\u8fd8\u6d4b\u8bd5\u4e86 FreDF \u5728\u4e0d\u540c\u795e\u7ecf\u7f51\u7edc\u67b6\u6784\u4e0a\u7684\u8868\u73b0\uff0c\u5305\u62ec iTransformer\u3001DLinear\u3001Autoformer \u548c Transformer \u7b49\uff0c\u8bc1\u660e\u4e86\u5176\u4e0e\u6a21\u578b\u65e0\u5173\u7684\u7279\u6027\uff1a\u53ef\u4ee5\u5207\u5b9e\u6709\u6548\u63d0\u5347\u5927\u591a\u6570\u4e3b\u6d41\u65f6\u5e8f\u9884\u6d4b\u6a21\u578b\u7684\u7cbe\u5ea6\u3002<\/p>\n<p><strong>\u7ed3\u8bba<\/strong><\/p>\n<p><strong>\u81ea\u76f8\u5173\u6027\u7684\u5904\u7406\u662f\u65f6\u95f4\u5e8f\u5217\u9884\u6d4b\u7684\u6838\u5fc3\u95ee\u9898<\/strong>\u3002\u73b0\u6709\u65b9\u6cd5\u805a\u7126\u8f93\u5165\u4e2d\u7684\u81ea\u76f8\u5173\u6027\u7684\u5904\u7406\uff0c<strong>\u800c\u5bf9\u6807\u7b7e\u4e2d\u7684\u81ea\u76f8\u5173\u6027\u5c1a\u672a\u7ed9\u4e88\u5e7f\u6cdb\u5173\u6ce8<\/strong>\u3002\u7279\u522b\u662f\uff0c\u73b0\u6709\u7684\u591a\u4efb\u52a1\u9884\u6d4b\u65b9\u6cd5\uff0c\u5176<strong>\u635f\u5931\u51fd\u6570<\/strong>\u5047\u8bbe\u6389\u4e86\u6807\u7b7e\u4e2d\u7684\u81ea\u76f8\u5173\u6027\uff0c<strong>\u5bfc\u81f4\u5176\u76f8\u5bf9\u4f3c\u7136\u51fd\u6570\u6709\u504f<\/strong>\u3002<\/p>\n<p>FreDF \u63d0\u51fa\u4e86\u4e00\u79cd\u57fa\u4e8e\u9891\u57df\u6807\u7b7e\u7684\u8bad\u7ec3\u65b9\u6cd5\uff0c<strong>\u65e2\u4fdd\u7559\u4e86\u591a\u4efb\u52a1\u9884\u6d4b\u7684\u7279\u6027\uff0c\u53c8\u6709\u6548\u907f\u514d\u4e86\u6807\u7b7e\u81ea\u76f8\u5173\u6027\u5e26\u6765\u7684\u504f\u5dee<\/strong>\u3002\u4f5c\u4e3a\u4e00\u79cd\u6a21\u578b\u65e0\u5173\u7684\u635f\u5931\u51fd\u6570\uff0c\u5b9e\u9a8c\u7ed3\u679c\u8868\u660e\uff0c\u5176\u5728\u591a\u4e2a\u9884\u6d4b\u6a21\u578b\u4e0a\u5747\u8868\u73b0\u51fa\u4e00\u81f4\u7684\u6027\u80fd\u63d0\u5347\u3002<\/p>\n<p>\u4e0d\u5feb\u6765\u8bd5\u4e00\u4e0b\uff1f\u8ba9 FreDF \u6210\u4e3a\u4f60\u6027\u80fd\u4f18\u5316\u7684\u300c\u6700\u540e\u4e00\u68d2\u300d\uff01<\/p>\n<\/section>\n<p>\u6587\u7ae0\u6765\u6e90\u4e8e\u4e92\u8054\u7f51:<a href=\"https:\/\/www.jiqizhixin.com\/articles\/2025-04-15-10\" target=\"_blank\">ICLR 2025 | \u4e00\u884c\u4ee3\u7801\uff01FreDF\u9891\u57df\u635f\u5931\u7a33\u5b9a\u63d0\u5347\u65f6\u95f4\u5e8f\u5217\u9884\u6d4b\u7cbe\u5ea6<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6587\u7ae0\u6765\u6e90\u4e8e\u4e92\u8054\u7f51:ICLR 2025 | [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center 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