{"id":4195,"date":"2025-10-16T00:12:25","date_gmt":"2025-10-15T16:12:25","guid":{"rendered":"https:\/\/www.15zhi.net\/blog\/?p=4195"},"modified":"2025-10-16T00:12:25","modified_gmt":"2025-10-15T16:12:25","slug":"202510-%e8%ae%ba%e6%96%87%e7%a0%94%e8%af%bb-differentially-private-synthetic-data-via-apis-3-using-simulators-instead-of-foundation-models","status":"publish","type":"post","link":"https:\/\/www.15zhi.net\/blog\/202510-%e8%ae%ba%e6%96%87%e7%a0%94%e8%af%bb-differentially-private-synthetic-data-via-apis-3-using-simulators-instead-of-foundation-models\/","title":{"rendered":"202510 \u8bba\u6587\u7814\u8bfb-Differentially Private Synthetic Data via APIs 3:\u00a0Using Simulators Instead of Foundation Models"},"content":{"rendered":"\n<p>\u4f5c\u8005\uff1aZinan Lin, Tadas Baltrusaitis, Wenyu Wang, Sergey Yekhanin<br>\u6765\u6e90\uff1aarxiv<br>\u5355\u4f4d\uff1aMicrosoft Research,Cambridge,Redmond<br>\u65f6\u95f4\uff1a2025\u5e745\u6708<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u80cc\u666f<\/h2>\n\n\n\n<p>DP\u5408\u6210\u6570\u636e\u548c\u539f\u59cb\u6570\u636e\u5728\u7279\u5f81\u5206\u5e03\u76f8\u4f3c\u540c\u65f6\u53ef\u4ee5\u4fdd\u6301\u5f3a\u5927\u7684\u9690\u79c1\u4fdd\u969c\uff0c\u4e0e\u6b64\u540c\u65f6\uff0cprivate evolution\u7b97\u6cd5\u4f5c\u4e3a\u4e00\u79cd\u6700\u8fd1\u5907\u53d7\u5173\u6ce8\u7684\u5408\u6210\u6570\u636e\u7b97\u6cd5\uff0c\u539f\u59cb\u7b97\u6cd5\u901a\u8fc7\u8bbf\u95ee\u57fa\u7840\u6a21\u578b\u7684\u63a8\u7406API\uff0c\u53ef\u4ee5\u5229\u7528\u6700\u5148\u8fdb\u5927\u6a21\u578b\u7684\u5f3a\u5927\u529f\u80fd\uff0c\u4f46\u5bf9\u4e8e\u7279\u5b9a\u79c1\u6709\u6570\u636e\u7684\u9886\u57df\u4e0d\u4e00\u5b9a\u6709\u5408\u9002\u7684\u57fa\u7840\u6a21\u578b\uff0c\u5f53\u57fa\u7840\u6a21\u578b\u7684\u8bad\u7ec3\u6570\u636e\u548c\u79c1\u6709\u6570\u636e\u5206\u5e03\u5b58\u5728\u663e\u8457\u5dee\u5f02\u7684\u65f6\u5019\uff0cPE\u7b97\u6cd5\u7684\u6027\u80fd\u8fdc\u8fdc\u843d\u540e\u4e8e\u57fa\u4e8e\u8bad\u7ec3\u7684\u65b9\u6cd5\u3002\u5728\u4e0d\u6d89\u53ca\u79c1\u6709\u6570\u636e\u7684\u4f20\u7edf\u5408\u6210\u6570\u636e\u9886\u57df\uff0c\u5b58\u5728\u5f3a\u5927\u7684\u975e\u795e\u7ecf\u7f51\u7edc\u6570\u636e\u5408\u6210\u5668\uff0c\u5982\u679c\u8ba9PE\u6846\u67b6\u517c\u5bb9\u8fd9\u4e9b\u6a21\u62df\u5668\uff0c\u5c06\u6781\u5927\u6269\u5c55DP\u6570\u636e\u5408\u6210\u7684\u9002\u7528\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u8bba\u6587\u6838\u5fc3\u8d21\u732e<\/h2>\n\n\n\n<p>1\u3001\u63d0\u51fa\u4e86Sim-PE\u6846\u67b6\uff0c\u5728\u57fa\u7840\u7684PE\u7b97\u6cd5\u6846\u67b6\u4e0a\uff0c\u5c06pe\u6269\u5c55\u4e3a\u517c\u5bb9\u975e\u795e\u7ecf\u7f51\u8def\u7684\u7248\u672c\uff0c\u62d3\u5bbd\u4e86pe\u6846\u67b6\u7684\u517c\u5bb9\u6027\u3002<br>2\u3001Sim-PE\u9996\u6b21\u5c06\u6a21\u62df\u5668\u5f15\u5165DP\u5408\u6210\u6570\u636e\uff0c\u7ed3\u5408\u6a21\u62df\u5668\u5728\u7279\u5b9a\u6570\u636e\u9886\u57df\u7684\u4f18\u79c0\u6027\u80fd\uff0c\u5b9e\u73b0\u4e86dp\u7279\u6027\u7684\u5408\u6210\u6570\u636e\u9ad8\u6548\u65b9\u6cd5<br>3\u3001Sim-PE\u5b9e\u73b0\u4e86\u663e\u8457\u7684\u6027\u80fd\u63d0\u793a\uff0cMnist\u6570\u636e\u96c6\u4e0a\uff0c\u5206\u7c7b\u51c6\u786e\u7387\u6709\u539f\u59cbPE\u768427.9%\u63d0\u5347\u81f389.1%\uff0c\u540c\u65f6\u63a2\u8ba8\u4e86\u57fa\u7840\u6a21\u578b\u548c\u5f31\u6a21\u62df\u5668\u76f8\u7ed3\u5408\u7684\u6027\u80fd\u63d0\u5347\u6548\u679c<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u6280\u672f\u6846\u67b6<\/h2>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"881\" height=\"587\" src=\"https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/10\/image-33.png\" alt=\"\" class=\"wp-image-4199\" srcset=\"https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/10\/image-33.png 881w, https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/10\/image-33-300x200.png 300w, https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/10\/image-33-768x512.png 768w\" sizes=\"auto, (max-width: 881px) 100vw, 881px\" \/><\/figure>\n\n\n\n<p>Sim-pe\u7684\u6280\u672f\u6846\u67b6\u4e2d\u5fc3\u601d\u60f3\u662f\u5728\u539f\u59cbPE\u6846\u67b6\u7684\u65b9\u6cd5\u4e0a\u4fdd\u7559\u539f\u59cb\u7684\u9690\u79c1\u673a\u5236\u548c\u8fed\u4ee3\u7ed3\u6784\uff0c\u66ff\u6362\u539f\u59cbPE\u6846\u67b6\u7684RANDOM_API\u548cVARIATION_API<\/p>\n\n\n\n<p>\u65b9\u6cd5\u6846\u67b6\u7684\u6570\u636e\u96c6\u9009\u62e9\u7684\u662f\u8ba1\u7b97\u673a\u56fe\u50cf\u751f\u6210\u7684\u7279\u5b9a\u9886\u57df\uff0c\u800c\u5728\u6b64\u7279\u5b9a\u9886\u57df\u4e2d\uff0c\u90e8\u5206\u6a21\u62df\u5668\u5f00\u6e90\uff0c\u4f46\u662f\u90e8\u5206\u7684\u6a21\u62df\u5668\u5728\u6e32\u67d3\u5668\u4e2d\u4f7f\u7528\u7684\u8d44\u4ea7\u901a\u5e38\u662f\u4e13\u7528\u7684\uff0c\u8bb8\u591a\u6a21\u62df\u5668\u4ec5\u4ec5\u53d1\u5e03\u6570\u636e\u96c6\uff0c\u800c\u4e0d\u662f\u6a21\u62df\u5668\u4ee3\u7801\u3002\u6240\u4ee5Sim-pe\u6309\u7167\u4f5c\u8005\u5206\u4e3a\u5177\u6709\u6a21\u62df\u5668\u8bbf\u95ee\u7684Sim-pe\u548c\u4f7f\u7528\u6a21\u62df\u5668\u751f\u6210\u6570\u636e\u7684Sim-pe<\/p>\n\n\n\n<p><strong>\u5177\u6709\u6a21\u62df\u5668\u8bbf\u95ee\u7684Sim-pe<\/strong><\/p>\n\n\n\n<p>\u4e0d\u540c\u7684\u6a21\u62df\u5668\u7684\u4e0d\u540c\u7f16\u7a0b\u63a5\u53e3\u53ef\u4ee5\u62bd\u8c61\u4e3a\u4e00\u7ec4\u62bd\u8c61\u7684\u63a5\u53e3\u53c2\u6570\uff0cp\u5206\u7c7b\u53c2\u6570\u03be1,\u2026,\u03bep<\/p>\n\n\n\n<p>\u00a0\u548cq\u6570\u503c\u53c2\u6570\u03d51,\u2026,\u03d5q\uff0cRANDOM_API\u53ea\u9700\u8981\u4ece\u76f8\u5e94\u7684\u53ef\u4fe1\u96c6\u4e2d\u968f\u673a\u7ed8\u5236\u53c2\u6570<\/p>\n\n\n\n<p>RANDOM_API=\ud835\udcae\u2062(\u03be1,\u2026,\u03bep,\u03d51,\u2026,\u03d5q),<\/p>\n\n\n\n<p>\u800c\u5bf9\u4e8eVARIATION_API\uff0c\u9700\u8981\u901a\u8fc7\u6270\u52a8\u8f93\u5165\u7684\u56fe\u50cf\u53c2\u6570\u6765\u751f\u6210\u53d8\u5316\uff0c\u5bf9\u4e8eq\u6570\u503c\u53c2\u6570\u6dfb\u52a0\u5bf9\u5e94\u7684\u566a\u58f0\uff0c\u800cp\u6570\u503c\u53c2\u6570\u4e0d\u9002\u7528\u4e8e\u76f4\u63a5\u6dfb\u52a0\u566a\u58f0\uff0c \u56e0\u6b64\u9700\u8981\u6309\u7167\u4e00\u5b9a\u6982\u7387\u4ece\u53ef\u884c\u96c6\u4e2d\u91cd\u65b0\u7ed8\u5236\u53c2\u6570<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"785\" height=\"109\" src=\"https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/10\/image-34.png\" alt=\"\" class=\"wp-image-4200\" srcset=\"https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/10\/image-34.png 785w, https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/10\/image-34-300x42.png 300w, https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/10\/image-34-768x107.png 768w\" sizes=\"auto, (max-width: 785px) 100vw, 785px\" \/><\/figure>\n\n\n\n<p><strong>\u4f7f\u7528\u6a21\u62df\u5668\u751f\u6210\u6570\u636e\u7684Sim-pe<\/strong><\/p>\n\n\n\n<p>\u7531\u4e8e\u6a21\u62df\u5668\u4f1a\u751f\u6210\u5927\u91cf\u7684\u5408\u6210\u6570\u636e\uff0c\u907f\u514d\u8ba9\u79c1\u6709\u6837\u672c\u8003\u8651\u6574\u4e2aSsim\uff0c\u5c06\u9690\u79c1\u9884\u7b97\u6d6a\u8d39\u5728\u8bc4\u4f30\u4e0a\uff0c\u57fa\u4e8e\u6b64\uff0cSim-pe\u91c7\u7528\u4e24\u6761\u91cd\u8981\u7b56\u75651\u3001\u53ea\u4eceSsim\u4e2d\u968f\u673a\u62bd\u53d6N_syn\u4f5c\u4e3a\u5f53\u524d\u5019\u9009\u96c6\u30022\u3001\u5bf9\u4e8e\u88ab\u62bd\u4e2d\u7684\u6837\u672c\u53ea\u5728\u6700\u8fd1\u90bbk\u6837\u672c\u91c7\u7528\uff0c\u907f\u514d\u5c06\u8fdc\u79bb\u79c1\u6709\u6570\u636e\u7684\u533a\u57df\u5f15\u5165\u4e0b\u4e00\u8f6e\uff0c \u540c\u65f6\u63a7\u5236\u8fd1\u90bb\u8303\u56f4<\/p>\n\n\n\n<p><strong>\u6a21\u62df\u5668\u548c\u57fa\u7840\u6a21\u578b\u7ed3\u5408\u7684Sim-pe<\/strong><\/p>\n\n\n\n<p>\u8bba\u6587\u7b80\u5355\u63a2\u8ba8\u4e86\u6a21\u62df\u5668\u548c\u57fa\u7840\u6a21\u578b\u7684\u7ed3\u5408\uff0c\u63a2\u7d22\u4e86\u7b80\u5355\u7684\u7b56\u7565\uff0c\u5728\u65e9\u671f\u7684 PE\u00a0\u8fed\u4ee3\u4e2d\u4f7f\u7528\u6a21\u62df\u5668\u6765\u751f\u6210\u4e0d\u540c\u7684\u79cd\u5b50\u6837\u672c\uff0c\u7136\u540e\u5728\u540e\u9762\u7684\u8fed\u4ee3\u4e2d\u5207\u6362\u5230\u57fa\u7840\u6a21\u578b\u6765\u5b8c\u5584\u7ec6\u8282\u5e76\u589e\u5f3a\u771f\u5b9e\u611f\uff0c\u8fd9\u79cd\u65b9\u6cd5\u5728\u5b9e\u9a8c\u4e2d\u4f18\u4e8e\u5355\u72ec\u4f7f\u7528\u6a21\u62df\u5668\u6216\u8005\u57fa\u7840\u6a21\u578b\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u5b9e\u9a8c\u53ca\u5206\u6790<\/h2>\n\n\n\n<p>\u6570\u636e\u96c6\uff1aMNIST\u6570\u636e\u96c6\uff08\u6570\u5b57\u5206\u7c7b\uff09\u3001CelebA\u6570\u636e\u96c6\uff08\u4eba\u8138\u6027\u522b\u5206\u7c7b\uff09<br>\u6a21\u62df\u5668\u7c7b\u578b\uff1a<strong>\u6587\u672c\u6e32\u67d3\u7a0b\u5e8f\u3001\u57fa\u4e8e\u8ba1\u7b97\u673a\u56fe\u50cf\u7684\u4eba\u8138\u56fe\u50cf\u6e32\u67d3\u5668\u3001\u57fa\u4e8e\u89c4\u5219\u7684\u5934\u50cf\u751f\u6210\u5668<\/strong><br>\u4e0b\u6e38\u5206\u7c7b\u5668\uff1aResNet\u3001WideResNet\u3001ResNeXt<br>\u8bc4\u4f30\u6307\u6807\uff1aFID\u3001\u4e0b\u6e38\u5206\u7c7b\u5668\u7684\u51c6\u786e\u6027<br>\u9690\u79c1\u9884\u7b97\u53c2\u6570\u8bbe\u4e3a \u03f5=1,10,  \u03b4=1\/(NlogN)<\/p>\n\n\n\n<p><strong>\u7ed3\u679c\u5206\u6790<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"465\" src=\"https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/10\/image-43-1024x465.png\" alt=\"\" class=\"wp-image-4245\" srcset=\"https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/10\/image-43-1024x465.png 1024w, https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/10\/image-43-300x136.png 300w, https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/10\/image-43-768x349.png 768w, https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/10\/image-43.png 1239w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"456\" src=\"https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/10\/image-46-1024x456.png\" alt=\"\" class=\"wp-image-4248\" srcset=\"https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/10\/image-46-1024x456.png 1024w, https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/10\/image-46-300x134.png 300w, https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/10\/image-46-768x342.png 768w, https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/10\/image-46.png 1211w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u5728 MNIST \u4e0a\uff0cSim-PE \u628a PE \u7684\u6027\u80fd\u4ece ~28% \u63d0\u5347\u5230 ~89%\uff08\u03b5=1\uff09\uff0c\u5bf9\u4e8e CelebA\uff08\u771f\u5b9e\u4eba\u8138\uff09\uff0cPE \u672c\u8eab\u6548\u679c\u5df2\u76f8\u5bf9\u4e0d\u9519\uff0c\u4f46 Sim-PE \u4ecd\u5e26\u6765\u660e\u663e\u6539\u8fdb\uff08\u2248 +9 \u5230 +8.3 \u767e\u5206\u70b9\uff09<br>\u5728 MNIST \u4e0a\uff0cSim-PE \u4e0d\u4ec5\u63d0\u5347\u5206\u7c7b\u51c6\u786e\u7387\uff0c\u4e5f\u663e\u8457\u6539\u5584 FID\uff08\u5c24\u5176\u5728 \u03b5=10 \u65f6 FID \u964d\u5230 9.4\uff0c\u63a5\u8fd1\u8bad\u7ec3\u578b\u65b9\u6cd5\u7684\u6c34\u5e73\uff09\uff1b\u5728 CelebA \u4e0a\uff0cSim-PE \u7684 FID \u4e0e PE \u76f8\u5f53\u6216\u7a0d\u4f18\uff0c\u8fd9\u8bf4\u660e\u5f53\u57fa\u7840\u6a21\u578b\u4e0e\u79c1\u6709\u6570\u636e\u66f4\u63a5\u8fd1\u65f6\uff0cSim-PE \u4fdd\u6301\u6216\u5fae\u5e45\u63d0\u5347\u8d28\u91cf\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"209\" src=\"https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/10\/image-50-1024x209.png\" alt=\"\" class=\"wp-image-4253\" srcset=\"https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/10\/image-50-1024x209.png 1024w, https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/10\/image-50-300x61.png 300w, https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/10\/image-50-768x157.png 768w, https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/10\/image-50.png 1255w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u5f31\u6a21\u62df\u5668\u672c\u8eab\u56fe\u50cf\u4e0d\u771f\u5b9e\uff08\u9ad8 FID\uff09\uff0c\u76f4\u63a5\u7528 Sim-PE \u6548\u679c\u6709\u9650\uff0c\u4f46\u751f\u6210\u7684\u6837\u672c\u4ecd\u4fdd\u7559\u6b63\u786e\u7684\u9762\u90e8\u5e03\u5c40\uff08\u773c\u9f3b\u5634\u4f4d\u7f6e\u7b49\uff09\uff0c\u4f5c\u4e3a\u79cd\u5b50\u80fd\u663e\u8457\u63d0\u9ad8\u540e\u7eed foundation model \u7684\u91c7\u6837\u6548\u679c\uff1b\u56e0\u6b64\u201c\u6a21\u62df\u5668 + foundation model\u201d\u7684<strong>\u534f\u540c<\/strong>\u662f\u4e00\u4e2a\u6709\u4ef7\u503c\u7684\u65b9\u5411\u3002<\/p>\n\n\n\n<h2 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Lin, Tadas Baltrusaitis, Wenyu Wang, Sergey Ye 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