{"id":6016,"date":"2025-06-26T14:21:10","date_gmt":"2025-06-26T06:21:10","guid":{"rendered":"https:\/\/nullthought.net\/?p=6016"},"modified":"2025-06-26T14:21:11","modified_gmt":"2025-06-26T06:21:11","slug":"%e5%86%85%e7%a7%af%ef%bc%88inner-product%ef%bc%89%e5%92%8c%e5%8d%b7%e7%a7%af%ef%bc%88convolution%ef%bc%89","status":"publish","type":"post","link":"https:\/\/nullthought.net\/?p=6016","title":{"rendered":"\u5185\u79ef\uff08Inner Product\uff09\u548c\u5377\u79ef\uff08Convolution\uff09"},"content":{"rendered":"\n<p><a href=\"https:\/\/nullthought.net\/?p=6012\" target=\"_blank\" rel=\"noreferrer noopener\">\u5185\u79ef\uff08Inner Product\uff09<\/a>\u548c\u5377\u79ef\uff08Convolution\uff09\u867d\u7136\u5728\u6570\u5b66\u8868\u8fbe\u5f0f\u4e0a\u6709\u4e9b\u76f8\u4f3c\uff0c\u4f46<strong>\u5b83\u4eec\u7684\u672c\u8d28\u3001\u51e0\u4f55\u610f\u4e49\u3001\u5e94\u7528\u76ee\u7684\u548c\u8ba1\u7b97\u65b9\u5f0f\u662f\u5b8c\u5168\u4e0d\u540c\u7684<\/strong>\u3002<\/p>\n\n\n\n<h5 class=\"wp-block-heading\">\u4e00\u3001\u76ee\u7684\u548c\u8bed\u4e49\u5bf9\u6bd4<\/h5>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u7ef4\u5ea6<\/th><th>\u5185\u79ef<\/th><th>\u5377\u79ef<\/th><\/tr><\/thead><tbody><tr><td>\u2728 \u76ee\u7684<\/td><td>\u8861\u91cf\u4e24\u4e2a\u5411\u91cf\u7684<strong>\u5168\u5c40\u76f8\u4f3c\u6027<\/strong><\/td><td>\u6355\u6349\u8f93\u5165\u7684<strong>\u5c40\u90e8\u6a21\u5f0f\u7279\u5f81<\/strong>\uff08\u5982\u8fb9\u7f18\u3001\u8bed\u4e49\u7247\u6bb5\uff09<\/td><\/tr><tr><td>\ud83c\udfaf \u8ba1\u7b97\u7c92\u5ea6<\/td><td>\u6574\u4f53\u5bf9\u6574\u4f53<\/td><td>\u5c40\u90e8\u7a97\u53e3\u6ed1\u52a8<\/td><\/tr><tr><td>\ud83c\udf0c \u8bed\u4e49<\/td><td>\u201c\u5bf9\u9f50\u7a0b\u5ea6\u201d\u3001\u201c\u65b9\u5411\u4e00\u81f4\u6027\u201d<\/td><td>\u201c\u68c0\u6d4b\u7279\u5f81\u6a21\u677f\u201d<\/td><\/tr><tr><td>\ud83d\udcca \u7ed3\u679c\u7ef4\u5ea6<\/td><td>\u4e00\u4e2a\u6807\u91cf<\/td><td>\u4e00\u4e2a\u5411\u91cf\uff08\u901a\u5e38\u957f\u5ea6\u8fdc\u5c0f\u4e8e\u539f\u59cb\u8f93\u5165\uff09<\/td><\/tr><tr><td>\ud83e\udde0 \u5e38\u7528\u573a\u666f<\/td><td>\u76f8\u4f3c\u5ea6\u8ba1\u7b97\u3001\u6ce8\u610f\u529b\u673a\u5236\u3001\u63a8\u8350\u7cfb\u7edf<\/td><td>CNN\u56fe\u50cf\/\u6587\u672c\/\u8bed\u97f3\u5904\u7406\u3001\u6ee4\u6ce2\u5668\u3001\u8fb9\u7f18\u68c0\u6d4b<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h5 class=\"wp-block-heading\">\u4e8c\u3001\u5f62\u8c61\u6bd4\u55bb\u5bf9\u6bd4<\/h5>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u7c7b\u6bd4<\/th><th>\u89e3\u91ca<\/th><\/tr><\/thead><tbody><tr><td>\ud83e\uddf2 \u5185\u79ef<\/td><td>\u50cf\u5728\u201c\u6d4b\u91cf\u4e24\u4e2a\u529b\u7684\u65b9\u5411\u662f\u5426\u4e00\u81f4\u201d\uff0c\u8d8a\u4e00\u81f4\uff08\u540c\u5411\uff09\u503c\u8d8a\u5927<\/td><\/tr><tr><td>\ud83d\udd0d \u5377\u79ef<\/td><td><strong>\u50cf\u5728\u201c\u62ff\u4e00\u4e2a\u653e\u5927\u955c\u5728\u56fe\u7247\u4e0a\u6ed1\u52a8\u201d\uff0c\u770b\u5230\u54ea\u91cc\u6709\u6211\u4eec\u60f3\u8981\u7684\u6a21\u5f0f\uff08\u5982\u8fb9\u7f18\u3001\u773c\u775b\u3001\u5173\u952e\u8bcd\uff09<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h5 class=\"wp-block-heading\">\u4e09\u3001\u5728\u795e\u7ecf\u7f51\u7edc\u4e2d\u7684\u5e94\u7528\u5bf9\u6bd4<\/h5>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u573a\u666f<\/th><th>\u4f7f\u7528\u5185\u79ef<\/th><th>\u4f7f\u7528\u5377\u79ef<\/th><\/tr><\/thead><tbody><tr><td>Transformer<\/td><td>Query \u4e0e Key \u505a\u5185\u79ef\u5f62\u6210 attention scores<\/td><td>\u274c<\/td><\/tr><tr><td>\u56fe\u50cf\u5206\u7c7b\uff08CNN\uff09<\/td><td>\u274c<\/td><td>\u63d0\u53d6\u5c40\u90e8\u7279\u5f81\uff0c\u5982\u8fb9\u7f18\u3001\u7eb9\u7406\u3001\u7ed3\u6784<\/td><\/tr><tr><td>\u63a8\u8350\u7cfb\u7edf<\/td><td>\u7528\u6237-\u7269\u54c1\u5411\u91cf\u505a\u5185\u79ef\uff0c\u8f93\u51fa\u504f\u597d\u5206\u6570<\/td><td>\u274c<\/td><\/tr><tr><td>\u8bed\u8a00\u5efa\u6a21\uff08CNN-based\uff09<\/td><td>\u274c<\/td><td>\u68c0\u6d4bn-gram\u4e0a\u4e0b\u6587\u7247\u6bb5<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h5 class=\"wp-block-heading\">\u56db\u3001\u6570\u5b66\u672c\u8d28\u4e0a\u7684\u5dee\u5f02<\/h5>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u5185\u79ef\u662f\u4e24\u4e2a\u5411\u91cf\u4e4b\u95f4\u7684\u4ee3\u6570\u8fd0\u7b97\uff08\u6620\u5c04\u4e3a\u6807\u91cf\uff09<\/strong><\/li>\n\n\n\n<li><strong>\u5377\u79ef\u662f\u51fd\u6570\uff08\u6216\u4fe1\u53f7\uff09\u4e4b\u95f4\u7684\u6ed1\u52a8\u52a0\u6743\u53e0\u52a0\u8fd0\u7b97\uff0c\u672c\u8d28\u662f\u76f8\u5173\u6027\u8ba1\u7b97\u7684\u4e00\u79cd\u6cdb\u5316<\/strong><\/li>\n<\/ul>\n\n\n\n<p>\u7279\u522b\u6ce8\u610f\uff0c\u5728\u6df1\u5ea6\u5b66\u4e60\u4e2d\u5e38\u7528\u7684\u201c\u5377\u79ef\u201d\u5e76\u4e0d\u662f\u4e25\u683c\u610f\u4e49\u4e0a\u7684\u6570\u5b66\u201c\u5377\u79ef\u201d\u8fd0\u7b97\uff0c\u800c\u662f\u201c\u4ea4\u53c9\u76f8\u5173\u201d\uff08Cross-correlation\uff09\uff0c\u56e0\u4e3a\u5b83\u6ca1\u6709\u7ffb\u8f6c\u5377\u79ef\u6838\u3002<\/p>\n\n\n\n<h5 class=\"wp-block-heading\">\u4e94\u3001\u603b\u7ed3<\/h5>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u5bf9\u6bd4\u7ef4\u5ea6<\/th><th>\u5185\u79ef<\/th><th>\u5377\u79ef<\/th><\/tr><\/thead><tbody><tr><td>\u8fd0\u7b97\u65b9\u5f0f<\/td><td>\u9010\u5143\u7d20\u4e58\u518d\u6c42\u548c<\/td><td>\u5c40\u90e8\u6ed1\u52a8\u7a97\u53e3\u5339\u914d\u5e76\u6c42\u548c<\/td><\/tr><tr><td>\u8f93\u5165<\/td><td>\u4e24\u4e2a\u5411\u91cf<\/td><td>\u4e00\u4e2a\u5e8f\u5217\uff08\u5411\u91cf\/\u77e9\u9635\uff09\u548c\u4e00\u4e2a\u5377\u79ef\u6838<\/td><\/tr><tr><td>\u8f93\u51fa<\/td><td>\u5355\u4e2a\u6807\u91cf<\/td><td>\u5411\u91cf\u6216\u77e9\u9635<\/td><\/tr><tr><td>\u5e94\u7528\u573a\u666f<\/td><td>\u76f8\u4f3c\u5ea6\u8ba1\u7b97\u3001\u6ce8\u610f\u529b\u673a\u5236\u3001\u63a8\u8350\u7cfb\u7edf<\/td><td>\u56fe\u50cf\u8bc6\u522b\u3001\u8bed\u97f3\u8bc6\u522b\u3001\u5e8f\u5217\u5efa\u6a21<\/td><\/tr><\/tbody><\/table><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>\u5185\u79ef\uff08Inner Product\uff09\u548c\u5377\u79ef\uff08Convolution\uff09\u867d\u7136\u5728\u6570\u5b66\u8868\u8fbe\u5f0f\u4e0a\u6709\u4e9b\u76f8\u4f3c\uff0c\u4f46\u5b83\u4eec\u7684\u672c\u8d28\u3001\u51e0 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","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":"","ast-disable-related-posts":"","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":"set","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center 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center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[8,36],"tags":[39,48],"class_list":["post-6016","post","type-post","status-publish","format-standard","hentry","category-tech","category-36","tag-ai","tag-48"],"rttpg_featured_image_url":null,"rttpg_author":{"display_name":"NullThought","author_link":"https:\/\/nullthought.net\/?author=1"},"rttpg_comment":0,"rttpg_category":"<a href=\"https:\/\/nullthought.net\/?cat=8\" rel=\"category\">Tech<\/a> <a href=\"https:\/\/nullthought.net\/?cat=36\" rel=\"category\">\u79d1\u5b66<\/a>","rttpg_excerpt":"\u5185\u79ef\uff08Inner Product\uff09\u548c\u5377\u79ef\uff08Convolution\uff09\u867d\u7136\u5728\u6570\u5b66\u8868\u8fbe\u5f0f\u4e0a\u6709\u4e9b\u76f8\u4f3c\uff0c\u4f46\u5b83\u4eec\u7684\u672c\u8d28\u3001\u51e0&hellip;","_links":{"self":[{"href":"https:\/\/nullthought.net\/index.php?rest_route=\/wp\/v2\/posts\/6016","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/nullthought.net\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/nullthought.net\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/nullthought.net\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/nullthought.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=6016"}],"version-history":[{"count":1,"href":"https:\/\/nullthought.net\/index.php?rest_route=\/wp\/v2\/posts\/6016\/revisions"}],"predecessor-version":[{"id":6017,"href":"https:\/\/nullthought.net\/index.php?rest_route=\/wp\/v2\/posts\/6016\/revisions\/6017"}],"wp:attachment":[{"href":"https:\/\/nullthought.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6016"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/nullthought.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6016"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/nullthought.net\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6016"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}