{"id":5951,"date":"2025-05-25T21:48:17","date_gmt":"2025-05-25T13:48:17","guid":{"rendered":"https:\/\/nullthought.net\/?p=5951"},"modified":"2025-05-25T21:48:18","modified_gmt":"2025-05-25T13:48:18","slug":"%e6%96%87%e6%9c%ac%e5%b5%8c%e5%85%a5%ef%bc%88text-embeddings%ef%bc%89%e5%8f%af%e5%9c%a8%e4%b8%8d%e5%90%8c%e5%90%91%e9%87%8f%e7%a9%ba%e9%97%b4%e4%b9%8b%e9%97%b4%e8%bd%ac%e6%8d%a2%e3%80%82%e5%b0%86","status":"publish","type":"post","link":"https:\/\/nullthought.net\/?p=5951","title":{"rendered":"\u6587\u672c\u5d4c\u5165\uff08text embeddings\uff09\u53ef\u5728\u4e0d\u540c\u5411\u91cf\u7a7a\u95f4\u4e4b\u95f4\u8f6c\u6362\u3002\u5c06\u8f6c\u6362\u540e\u7684\u5d4c\u5165\u8f93\u5165\u81f3\u9884\u8bad\u7ec3\u7684\u96f6\u6837\u672c\u53cd\u6f14\u6a21\u578b\uff0c\u80fd\u8fd8\u539f\u51fa\u8f93\u5165\u6587\u672c\u7684\u5173\u952e\u4fe1\u606f"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">\u8bba\u6587<strong><a href=\"https:\/\/arxiv.org\/abs\/2505.12540\" target=\"_blank\" rel=\"noreferrer noopener\">Harnessing the Universal Geometry of Embeddings<\/a><\/strong>\u63d0\u51fa\u4e86\u9996\u4e2a\u65e0\u9700\u914d\u5bf9\u6570\u636e\u3001\u7f16\u7801\u5668\u6216\u9884\u5b9a\u4e49\u5339\u914d\u96c6\u5408\uff0c\u5373\u53ef\u5b9e\u73b0\u6587\u672c\u5d4c\u5165\uff08text embeddings\uff09\u5728\u4e0d\u540c\u5411\u91cf\u7a7a\u95f4\u4e4b\u95f4\u8f6c\u6362\u7684\u65b9\u6cd5\u3002\u63d0\u51fa\u7684\u65e0\u76d1\u7763\u65b9\u6cd5\u53ef\u4ee5\u5c06\u4efb\u610f\u5d4c\u5165\u8f6c\u6362\u4e3a\u901a\u7528\u6f5c\u5728\u8868\u793a\uff0c\u6216\u4ece\u4e2d\u8fd8\u539f\uff08\u5373\u4e00\u79cd\u7531\u201c\u67cf\u62c9\u56fe\u8868\u793a\u5047\u8bf4\u201d\u6240\u63a8\u6d4b\u7684\u901a\u7528\u8bed\u4e49\u7ed3\u6784\uff09\u3002\u8be5\u65b9\u6cd5\u5728\u5177\u6709\u4e0d\u540c\u67b6\u6784\u3001\u53c2\u6570\u89c4\u6a21\u548c\u8bad\u7ec3\u6570\u636e\u96c6\u7684\u6a21\u578b\u5bf9\u4e4b\u95f4\uff0c\u4f9d\u7136\u80fd\u5b9e\u73b0\u9ad8\u5ea6\u7684\u4f59\u5f26\u76f8\u4f3c\u6027\u3002\u80fd\u591f\u5728\u4fdd\u7559\u51e0\u4f55\u7ed3\u6784\u7684\u524d\u63d0\u4e0b\u5c06\u672a\u77e5\u5d4c\u5165\u8f6c\u6362\u5230\u53e6\u4e00\u5d4c\u5165\u7a7a\u95f4\uff0c\u8fd9\u4e00\u80fd\u529b\u5bf9\u5411\u91cf\u6570\u636e\u5e93\u7684\u5b89\u5168\u6027\u5177\u6709\u91cd\u5927\u5f71\u54cd\u3002\u653b\u51fb\u8005\u5373\u4f7f\u53ea\u83b7\u5f97\u5d4c\u5165\u5411\u91cf\uff0c\u4e5f\u53ef\u80fd\u63d0\u53d6\u51fa\u539f\u59cb\u6587\u6863\u4e2d\u7684\u654f\u611f\u4fe1\u606f\uff0c\u8db3\u4ee5\u6267\u884c\u5206\u7c7b\u6216\u5c5e\u6027\u63a8\u65ad\u4efb\u52a1\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8bba\u6587\u4f5c\u8005\u4e3aRishi Jha, Collin Zhang, Vitaly Shmatikov, John X. Morris\uff0c\u6765\u81eaCornell University\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"892\" height=\"411\" src=\"https:\/\/nullthought.net\/wp-content\/uploads\/2025\/05\/image-4.png\" alt=\"\" class=\"wp-image-5952\" srcset=\"https:\/\/nullthought.net\/wp-content\/uploads\/2025\/05\/image-4.png 892w, https:\/\/nullthought.net\/wp-content\/uploads\/2025\/05\/image-4-300x138.png 300w, https:\/\/nullthought.net\/wp-content\/uploads\/2025\/05\/image-4-768x354.png 768w\" sizes=\"auto, (max-width: 892px) 100vw, 892px\" \/><figcaption class=\"wp-element-caption\"><strong><a href=\"https:\/\/arxiv.org\/abs\/2505.12540\" target=\"_blank\" rel=\"noreferrer noopener\">Harnessing the Universal Geometry of Embeddings<\/a><\/strong><\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e00\u3001\u7814\u7a76\u80cc\u666f\u4e0e\u52a8\u673a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u672c\u8bba\u6587\u7814\u7a76\u89e3\u51b3\u4e0d\u540c\u8bed\u8a00\u6a21\u578b\u751f\u6210\u7684\u6587\u672c\u5d4c\u5165\u4e0d\u53ef\u517c\u5bb9\u7684\u95ee\u9898\u3002\u5c3d\u7ba1\u8fd9\u4e9b\u6a21\u578b\u5728\u8bed\u4e49\u4e0a\u8868\u8fbe\u76f8\u540c\u5185\u5bb9\uff0c\u5176\u8f93\u51fa\u7684\u5d4c\u5165\u5411\u91cf\u5374\u5904\u4e8e\u4e0d\u540c\u7684\u51e0\u4f55\u7a7a\u95f4\uff0c\u65e0\u6cd5\u76f4\u63a5\u6bd4\u8f83\u6216\u8f6c\u6362\u3002\u4e3a\u6b64\uff0c\u4f5c\u8005\u63d0\u51fa\u4e86\u4e00\u79cd\u5168\u65b0\u7684\u65e0\u76d1\u7763\u5d4c\u5165\u7ffb\u8bd1\u65b9\u6cd5 <code>vec2vec<\/code>\uff0c\u80fd\u591f\u5728\u5b8c\u5168\u4e0d\u4f9d\u8d56\u914d\u5bf9\u6570\u636e\u3001\u7f16\u7801\u5668\u7ed3\u6784\u6216\u8bad\u7ec3\u7ec6\u8282\u7684\u524d\u63d0\u4e0b\uff0c\u5c06\u4e00\u79cd\u6a21\u578b\u7684\u5d4c\u5165\u8f6c\u6362\u4e3a\u53e6\u4e00\u79cd\u6a21\u578b\u7684\u5d4c\u5165\u7a7a\u95f4\uff0c\u540c\u65f6\u4fdd\u7559\u539f\u59cb\u8bed\u4e49\u7ed3\u6784\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u672c\u65b9\u6cd5\u57fa\u4e8e\u201c\u5f3a\u67cf\u62c9\u56fe\u8868\u793a\u5047\u8bf4\uff08Strong Platonic Representation Hypothesis\uff09\u201d\uff0c\u8be5\u5047\u8bf4\u8ba4\u4e3a\uff1a\u53ea\u8981\u795e\u7ecf\u7f51\u7edc\u6a21\u578b\u5728\u76f8\u540c\u4efb\u52a1\u4e0a\u8bad\u7ec3\uff08\u5982\u6587\u672c\u5efa\u6a21\uff09\uff0c\u5373\u4fbf\u4f7f\u7528\u4e0d\u540c\u67b6\u6784\u4e0e\u6570\u636e\uff0c\u5176\u5d4c\u5165\u7a7a\u95f4\u80cc\u540e\u4e5f\u5171\u4eab\u67d0\u79cd\u53ef\u5b66\u4e60\u7684\u201c\u901a\u7528\u51e0\u4f55\u7ed3\u6784\u201d\uff0c\u53ef\u4f5c\u4e3a\u4e2d\u4ecb\u8fdb\u884c\u8de8\u6a21\u578b\u8f6c\u6362\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e8c\u3001\u95ee\u9898\u5b9a\u4e49\u4e0e\u6311\u6218<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7ed9\u5b9a\u4e00\u7ec4\u6765\u81ea\u672a\u77e5\u6a21\u578b M\u2081 \u7684\u5d4c\u5165\u5411\u91cf {u\u2081, &#8230;, u\u2099}\uff0c\u76ee\u6807\u662f\u63d0\u53d6\u5176\u539f\u59cb\u6587\u6863\u7684\u8bed\u4e49\u4fe1\u606f\u3002\u4f46\u6211\u4eec\u65e0\u6743\u8bbf\u95ee M\u2081\uff0c\u4e5f\u65e0\u6cd5\u83b7\u5f97\u5176\u8bad\u7ec3\u6570\u636e\u6216\u7f16\u7801\u5668\u7ec6\u8282\u3002\u540c\u65f6\u6211\u4eec\u62e5\u6709\u53e6\u4e00\u4e2a\u6a21\u578b M\u2082\uff0c\u53ef\u4ee5\u968f\u610f\u67e5\u8be2\uff0c\u4e14\u5176\u8f93\u51fa\u7a7a\u95f4\u4e3a\u6211\u4eec\u5df2\u77e5\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u76ee\u6807\u662f\u901a\u8fc7\u67d0\u79cd\u201c\u65e0\u76d1\u7763\u7684\u5d4c\u5165\u7ffb\u8bd1\u5668\u201d\uff0c\u5c06\u672a\u77e5\u7a7a\u95f4\u4e2d\u7684\u5411\u91cf u\u1d62 \u6620\u5c04\u5230 M\u2082 \u7684\u5d4c\u5165\u7a7a\u95f4\uff0c\u4f7f\u5f97\u5176\u7ed3\u679c\u5c3d\u53ef\u80fd\u63a5\u8fd1 M\u2082(di)\u3002\u6b64\u524d\u7684\u5de5\u4f5c\u5927\u591a\u4f9d\u8d56\u201c\u914d\u5bf9\u5d4c\u5165\u201d\u6216\u5df2\u77e5\u7684\u5019\u9009\u96c6\u5408\uff0c\u672c\u65b9\u6cd5\u5b8c\u5168\u4e0d\u5047\u8bbe\u8fd9\u4e9b\u6761\u4ef6\uff0c\u63d0\u51fa\u4e86\u66f4\u56f0\u96be\u4e5f\u66f4\u5177\u666e\u9002\u6027\u7684\u8bbe\u5b9a\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e09\u3001\u65b9\u6cd5\u8bbe\u8ba1\uff1avec2vec<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u672c\u65b9\u6cd5\u8bbe\u8ba1\u4e0a\u53d7 CycleGAN \u7b49\u56fe\u50cf\u9886\u57df\u65e0\u76d1\u7763\u7ffb\u8bd1\u65b9\u6cd5\u7684\u542f\u53d1\uff0c\u7ed3\u5408\u5faa\u73af\u4e00\u81f4\u6027\u4e0e\u5bf9\u6297\u635f\u5931\uff08GAN\uff09\u8fdb\u884c\u8bad\u7ec3\u3002\u5176\u6838\u5fc3\u7ed3\u6784\u5305\u62ec\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u4e24\u4e2a\u8f93\u5165\u9002\u914d\u5668 A\u2081 \u548c A\u2082\uff1a\u5c06\u6765\u81ea\u6a21\u578b M\u2081\u3001M\u2082 \u7684\u5d4c\u5165\u6620\u5c04\u5230\u7edf\u4e00\u7684\u6f5c\u5728\u7a7a\u95f4\uff1b<\/li>\n\n\n\n<li>\u4e00\u4e2a\u5171\u4eab\u53d8\u6362\u5668 T\uff1a\u5bf9\u7edf\u4e00\u7a7a\u95f4\u5185\u7684\u8868\u793a\u8fdb\u884c\u6df1\u5ea6\u6620\u5c04\uff1b<\/li>\n\n\n\n<li>\u4e24\u4e2a\u8f93\u51fa\u9002\u914d\u5668 B\u2081 \u548c B\u2082\uff1a\u5c06\u6f5c\u5728\u8868\u793a\u8f6c\u6362\u56de\u539f\u59cb\u6a21\u578b\u7684\u5d4c\u5165\u7a7a\u95f4\u3002<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">\u4ece\u800c\u5f62\u6210\u4ee5\u4e0b\u6620\u5c04\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>F\u2081 = B\u2082 \u2218 T \u2218 A\u2081\uff08M\u2081 \u2192 M\u2082 \u7a7a\u95f4\uff09<\/li>\n\n\n\n<li>F\u2082 = B\u2081 \u2218 T \u2218 A\u2082\uff08M\u2082 \u2192 M\u2081 \u7a7a\u95f4\uff09<\/li>\n\n\n\n<li>R\u2081 = B\u2081 \u2218 T \u2218 A\u2081\uff08M\u2081 \u2192 M\u2081 \u7a7a\u95f4\uff09<\/li>\n\n\n\n<li>R\u2082 = B\u2082 \u2218 T \u2218 A\u2082\uff08M\u2082 \u2192 M\u2082 \u7a7a\u95f4\uff09<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u8bad\u7ec3\u76ee\u6807\u51fd\u6570\u7ed3\u5408\u4ee5\u4e0b\u51e0\u9879\u635f\u5931\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u5bf9\u6297\u635f\u5931 L_adv\uff1a\u9f13\u52b1\u751f\u6210\u5411\u91cf\u4e0e\u771f\u5b9e\u5411\u91cf\u5728\u5206\u5e03\u4e0a\u65e0\u6cd5\u533a\u5206\uff1b<\/li>\n\n\n\n<li>\u91cd\u5efa\u635f\u5931 L_rec\uff1a\u8f93\u5165\u5d4c\u5165\u7ecf\u6f5c\u5728\u7a7a\u95f4\u56de\u5230\u539f\u7a7a\u95f4\u5e94\u80fd\u590d\u539f\uff1b<\/li>\n\n\n\n<li>\u5faa\u73af\u4e00\u81f4\u6027 L_CC\uff1a\u7ecf\u4e24\u6b21\u6620\u5c04\uff08M\u2081\u2192M\u2082\u2192M\u2081\uff09\u5e94\u4e0e\u539f\u59cb\u5411\u91cf\u4e00\u81f4\uff1b<\/li>\n\n\n\n<li>\u5411\u91cf\u7a7a\u95f4\u4fdd\u6301 L_VSP\uff1a\u8de8\u7a7a\u95f4\u7684\u51e0\u4f55\u5173\u7cfb\u4fdd\u6301\u4e00\u81f4\u3002<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u56db\u3001\u5b9e\u9a8c\u8bbe\u7f6e<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5b9e\u9a8c\u4f7f\u7528\u591a\u79cd\u8bed\u6599\u53ca\u5d4c\u5165\u6a21\u578b\u9a8c\u8bc1 vec2vec \u7684\u6709\u6548\u6027\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u8bad\u7ec3\u8bed\u6599\uff1aNatural Questions\uff08NQ\uff09\uff1b<\/li>\n\n\n\n<li>\u6d4b\u8bd5\u8bed\u6599\uff1aTweetTopic\uff08\u63a8\u6587\u4e3b\u9898\u5206\u7c7b\uff09\u3001MIMIC\uff08\u533b\u5b66\u75c5\u5386\u6570\u636e\uff09\u3001Enron\uff08\u7535\u5b50\u90ae\u4ef6\uff09\u3002<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u5d4c\u5165\u6a21\u578b\u6db5\u76d6 T5\uff08gtr\uff09\u3001BERT\uff08e5, gte, stella\uff09\u3001RoBERTa\uff08granite\uff09\u53ca\u591a\u6a21\u6001\u6a21\u578b CLIP\uff0c\u53c2\u6570\u89c4\u6a21\u4ece\u767e\u4f59M\u81f3\u8fd1300M\uff0c\u8f93\u51fa\u7ef4\u5ea6\u5305\u62ec512\u4e0e768\u3002vec2vec \u88ab\u8bad\u7ec3\u5728\u4efb\u610f\u4e24\u7ec4\u6a21\u578b\u4e4b\u95f4\uff0c\u4ece\u800c\u5b9e\u73b0\u7a7a\u95f4\u7ffb\u8bd1\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e94\u3001\u5b9e\u9a8c\u7ed3\u679c\u4e0e\u5206\u6790<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u7ffb\u8bd1\u8d28\u91cf\u8bc4\u4f30\uff1a<br>\u5728\u4e0d\u540c\u6a21\u578b\u5bf9\u4e4b\u95f4\uff0cvec2vec \u663e\u8457\u4f18\u4e8e Na\u00efve \u57fa\u7ebf\uff08F(x)=x\uff09\u4e0e Oracle-Aided Optimal Assignment\uff08\u5df2\u77e5\u76ee\u6807\u96c6\u5408\u7684\u5339\u914d\u7b97\u6cd5\uff09\u3002\u5728\u540c\u67b6\u6784\u6a21\u578b\u95f4\uff08\u5982 e5 \u2194 gte\uff09\uff0c\u6027\u80fd\u63a5\u8fd1\u6700\u4f18\uff1b\u5728\u8de8\u67b6\u6784\u6a21\u578b\u95f4\uff08\u5982 gtr \u2194 granite\uff09\uff0cvec2vec \u660e\u663e\u80dc\u51fa\uff0c\u8868\u73b0\u51fa\u826f\u597d\u7684\u51e0\u4f55\u5bf9\u9f50\u80fd\u529b\u3002<\/li>\n\n\n\n<li>\u6cdb\u5316\u80fd\u529b\u8bc4\u4f30\uff1a<br>vec2vec \u8bad\u7ec3\u81ea Wikipedia \u98ce\u683c\u6570\u636e\uff08NQ\uff09\uff0c\u4f46\u5728\u533b\u7597\uff08MIMIC\uff09\u4e0e\u793e\u4ea4\u8bed\u8a00\uff08TweetTopic\uff09\u4e0a\u4f9d\u7136\u53d6\u5f97\u826f\u597d\u7ed3\u679c\uff0c\u8bc1\u660e\u5176\u5728\u4e0d\u540c\u5206\u5e03\u95f4\u7684\u8fc1\u79fb\u80fd\u529b\u3002<\/li>\n\n\n\n<li>\u591a\u6a21\u6001\u6269\u5c55\u6027\uff1a<br>vec2vec \u53ef\u5c06\u7eaf\u6587\u672c\u5d4c\u5165\u6620\u5c04\u81f3\u591a\u6a21\u6001\u6a21\u578b CLIP \u7684\u5d4c\u5165\u7a7a\u95f4\uff0c\u5c3d\u7ba1\u6027\u80fd\u7565\u5f31\uff0c\u4f46\u4f9d\u7136\u4f18\u4e8e\u4f20\u7edf\u5339\u914d\u65b9\u6cd5\uff0c\u5c55\u793a\u4e86\u8de8\u6a21\u6001\u5d4c\u5165\u5bf9\u9f50\u7684\u6f5c\u529b\u3002<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">\u516d\u3001\u4fe1\u606f\u63d0\u53d6\u80fd\u529b<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">vec2vec 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