{"id":7818,"date":"2022-09-17T20:57:34","date_gmt":"2022-09-17T12:57:34","guid":{"rendered":"http:\/\/139.9.1.231\/?p=7818"},"modified":"2022-11-03T16:42:07","modified_gmt":"2022-11-03T08:42:07","slug":"diffusion-model-survey","status":"publish","type":"post","link":"http:\/\/139.9.1.231\/index.php\/2022\/09\/17\/diffusion-model-survey\/","title":{"rendered":"Diffusion Model \u7efc\u8ff0"},"content":{"rendered":"\n\n\n<p>    Diffusion Models: A Comprehensive Survey of Methods and Applications\u6765\u81ea\u52a0\u5dde\u5927\u5b66&amp;Google Research\u7684Ming-Hsuan Yang\u3001\u5317\u4eac\u5927\u5b66\u5d14\u658c\u5b9e\u9a8c\u5ba4\u4ee5\u53caCMU\u3001UCLA\u3001\u8499\u7279\u5229\u5c14Mila\u7814\u7a76\u9662\u7b49\u4f17\u7814\u7a76\u56e2\u961f\uff0c\u9996\u6b21\u5bf9\u73b0\u6709\u7684\u6269\u6563\u751f\u6210\u6a21\u578b\uff08diffusion model\uff09\u8fdb\u884c\u4e86\u5168\u9762\u7684\u603b\u7ed3\u5206\u6790\uff0c\u4ece<strong>diffusion model\u7b97\u6cd5\u7ec6\u5316\u5206\u7c7b\u3001\u548c\u5176\u4ed6\u4e94\u5927\u751f\u6210\u6a21\u578b\u7684\u5173\u8054\u4ee5\u53ca\u5728\u4e03\u5927\u9886\u57df\u4e2d\u7684\u5e94\u7528\u7b49\u65b9\u9762\u5c55\u5f00\uff0c\u6700\u540e\u63d0\u51fa\u4e86diffusion model\u7684\u73b0\u6709limitation\u548c\u672a\u6765\u7684\u53d1\u5c55\u65b9\u5411<\/strong>\u3002<\/p>\n\n\n\n<p class=\"has-light-blue-background-color has-background\">\u8bba\u6587\uff1a<a href=\"https:\/\/arxiv.org\/abs\/2209.00796\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/arxiv.org\/abs\/2209.00796<\/a><\/p>\n\n\n\n<p>\u6458\u81ea\uff1a<a href=\"javascript:void(0);\">AI\u79d1\u6280\u8bc4\u8bba<\/a><\/p>\n\n\n\n<p class=\"has-light-pink-background-color has-background\">github\u94fe\u63a5\uff1a<a rel=\"noreferrer noopener\" href=\"https:\/\/github.com\/YangLing0818\/Diffusion-Models-Papers-Survey-Taxonomy\" target=\"_blank\">https:\/\/github.com\/YangLing0818\/Diffusion-Models-Papers-Survey-Taxonomy<\/a>\uff08\u6269\u6563\u6a21\u578b\u8bba\u6587\u6c47\u603b\uff09<\/p>\n\n\n\n<h2><strong>\u4ecb\u7ecd<\/strong><\/h2>\n\n\n\n<p>      \u6269\u6563\u6a21\u578b\uff08diffusion models\uff09\u662f\u6df1\u5ea6\u751f\u6210\u6a21\u578b\u4e2d\u65b0\u7684SOTA\u3002\u6269\u6563\u6a21\u578b\u5728\u56fe\u7247\u751f\u6210\u4efb\u52a1\u4e2d\u8d85\u8d8a\u4e86\u539fSOTA\uff1aGAN\uff0c\u5e76\u4e14\u5728\u8bf8\u591a\u5e94\u7528\u9886\u57df\u90fd\u6709\u51fa\u8272\u7684\u8868\u73b0\uff0c\u5982\u8ba1\u7b97\u673a\u89c6\u89c9\uff0cNLP\u3001\u6ce2\u5f62\u4fe1\u53f7\u5904\u7406\u3001\u591a\u6a21\u6001\u5efa\u6a21\u3001\u5206\u5b50\u56fe\u5efa\u6a21\u3001\u65f6\u95f4\u5e8f\u5217\u5efa\u6a21\u3001\u5bf9\u6297\u6027\u51c0\u5316\u7b49\u3002\u6b64\u5916\uff0c\u6269\u6563\u6a21\u578b\u4e0e\u5176\u4ed6\u7814\u7a76\u9886\u57df\u6709\u7740\u5bc6\u5207\u7684\u8054\u7cfb\uff0c\u5982\u7a33\u5065\u5b66\u4e60\u3001\u8868\u793a\u5b66\u4e60\u3001\u5f3a\u5316\u5b66\u4e60\u3002\u7136\u800c\uff0c\u539f\u59cb\u7684\u6269\u6563\u6a21\u578b\u4e5f\u6709\u7f3a\u70b9\uff0c\u5b83\u7684\u91c7\u6837\u901f\u5ea6\u6162\uff0c\u901a\u5e38\u9700\u8981\u6570\u5343\u4e2a\u8bc4\u4f30\u6b65\u9aa4\u624d\u80fd\u62bd\u53d6\u4e00\u4e2a\u6837\u672c\uff1b\u5b83\u7684\u6700\u5927\u4f3c\u7136\u4f30\u8ba1\u65e0\u6cd5\u548c\u57fa\u4e8e\u4f3c\u7136\u7684\u6a21\u578b\u76f8\u6bd4\uff1b\u5b83\u6cdb\u5316\u5230\u5404\u79cd\u6570\u636e\u7c7b\u578b\u7684\u80fd\u529b\u8f83\u5dee\u3002\u5982\u4eca\u5f88\u591a\u7814\u7a76\u5df2\u7ecf\u4ece\u5b9e\u9645\u5e94\u7528\u7684\u89d2\u5ea6\u89e3\u51b3\u4e0a\u8ff0\u9650\u5236\u505a\u51fa\u4e86\u8bb8\u591a\u52aa\u529b\uff0c\u6216\u4ece\u7406\u8bba\u89d2\u5ea6\u5bf9\u6a21\u578b\u80fd\u529b\u8fdb\u884c\u4e86\u5206\u6790\u3002\u7136\u800c\uff0c\u73b0\u5728\u7f3a\u4e4f\u5bf9\u6269\u6563\u6a21\u578b\u4ece\u7b97\u6cd5\u5230\u5e94\u7528\u7684\u6700\u65b0\u8fdb\u5c55\u7684\u7cfb\u7edf\u56de\u987e\u3002\u4e3a\u4e86\u53cd\u6620\u8fd9\u4e00\u5feb\u901f\u53d1\u5c55\u9886\u57df\u7684\u8fdb\u5c55\uff0c\u6211\u4eec\u5bf9\u6269\u6563\u6a21\u578b\u8fdb\u884c\u4e86\u9996\u4e2a\u5168\u9762\u7efc\u8ff0\u3002\u6211\u4eec\u8bbe\u60f3\u6211\u4eec\u7684\u5de5\u4f5c\u5c06\u9610\u660e\u6269\u6563\u6a21\u578b\u7684\u8bbe\u8ba1\u8003\u8651\u548c\u5148\u8fdb\u65b9\u6cd5\uff0c\u5c55\u793a\u5176\u5728\u4e0d\u540c\u9886\u57df\u7684\u5e94\u7528\uff0c\u5e76\u6307\u51fa\u672a\u6765\u7684\u7814\u7a76\u65b9\u5411\u3002\u6b64\u7efc\u8ff0\u7684\u6982\u8981\u5982\u4e0b\u56fe\u6240\u793a\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" width=\"1024\" height=\"600\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-153-1024x600.png\" alt=\"\" class=\"wp-image-7828\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-153-1024x600.png 1024w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-153-300x176.png 300w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-153-768x450.png 768w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-153-1536x900.png 1536w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-153.png 1730w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-154-1024x624.png\" alt=\"\" class=\"wp-image-7829\" width=\"659\" height=\"401\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-154-1024x624.png 1024w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-154-300x183.png 300w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-154-768x468.png 768w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-154.png 1517w\" sizes=\"(max-width: 659px) 100vw, 659px\" \/><\/figure>\n\n\n\n<p>         \u5c3d\u7ba1diffusion model\u5728\u5404\u7c7b\u4efb\u52a1\u4e2d\u90fd\u6709\u7740\u4f18\u79c0\u7684\u8868\u73b0\uff0c\u5b83\u4ecd\u8fd8\u6709\u81ea\u5df1\u7684\u7f3a\u70b9\uff0c\u5e76\u6709\u8bf8\u591a\u7814\u7a76\u5bf9diffusion model\u8fdb\u884c\u4e86\u6539\u5584\u3002\u4e3a\u4e86\u7cfb\u7edf\u5730\u9610\u660ediffusion model\u7684\u7814\u7a76\u8fdb\u5c55\uff0c\u6211\u4eec\u603b\u7ed3\u4e86\u539f\u59cb\u6269\u6563\u6a21\u578b\u7684\u4e09\u4e2a\u4e3b\u8981\u7f3a\u70b9\uff0c\u91c7\u6837\u901f\u5ea6\u6162\uff0c\u6700\u5927\u5316\u4f3c\u7136\u5dee\u3001\u6570\u636e\u6cdb\u5316\u80fd\u529b\u5f31\uff0c\u5e76\u63d0\u51fa\u5c06\u7684diffusion models\u6539\u8fdb\u7814\u7a76\u5206\u4e3a\u5bf9\u5e94\u7684\u4e09\u7c7b\uff1a\u91c7\u6837\u901f\u5ea6\u63d0\u5347\u3001\u6700\u5927\u4f3c\u7136\u589e\u5f3a\u548c\u6570\u636e\u6cdb\u5316\u589e\u5f3a\u3002\u6211\u4eec\u9996\u5148\u8bf4\u660e\u6539\u5584\u7684\u52a8\u673a\uff0c\u518d\u6839\u636e\u65b9\u6cd5\u7684\u7279\u6027\u5c06\u6bcf\u4e2a\u6539\u8fdb\u65b9\u5411\u7684\u7814\u7a76\u8fdb\u4e00\u6b65\u7ec6\u5316\u5206\u7c7b\uff0c\u4ece\u800c\u6e05\u695a\u7684\u5c55\u73b0\u65b9\u6cd5\u4e4b\u95f4\u7684\u8054\u7cfb\u4e0e\u533a\u522b\u3002\u5728\u6b64\u6211\u4eec\u4ec5\u9009\u53d6\u90e8\u5206\u91cd\u8981\u65b9\u6cd5\u4e3a\u4f8b\uff0c \u6211\u4eec\u7684\u5de5\u4f5c\u4e2d\u5bf9\u6bcf\u7c7b\u65b9\u6cd5\u90fd\u505a\u4e86\u8be6\u7ec6\u7684\u4ecb\u7ecd\uff0c\u5185\u5bb9\u5982\u56fe\u6240\u793a\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" width=\"1024\" height=\"982\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-155-1024x982.png\" alt=\"\" class=\"wp-image-7837\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-155-1024x982.png 1024w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-155-300x288.png 300w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-155-768x736.png 768w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-155.png 1113w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>       \u5728\u5206\u6790\u5b8c\u4e09\u7c7b\u6269\u6563\u6a21\u578b\u540e\uff0c\u6211\u4eec\u5c06\u4ecb\u7ecd\u5176\u4ed6\u7684\u4e94\u79cd\u751f\u6210\u6a21\u578bGAN\uff0cVAE\uff0cAutoregressive model, Normalizing flow, Energy-based model\u3002\u8003\u8651\u5230\u6269\u6563\u6a21\u578b\u7684\u4f18\u826f\u6027\u8d28\uff0c\u7814\u7a76\u8005\u4eec\u5df2\u7ecf\u6839\u636e\u5176\u7279\u6027\u5c06diffusion model\u4e0e\u5176\u4ed6\u751f\u6210\u6a21\u578b\u7ed3\u5408\uff0c\u6240\u4ee5\u4e3a\u4e86\u8fdb\u4e00\u6b65\u5c55\u73b0diffusion model \u7684\u7279\u70b9\u548c\u6539\u8fdb\u5de5\u4f5c\uff0c\u6211\u4eec\u8be6\u7ec6\u5730\u4ecb\u7ecd\u4e86diffusion model\u548c\u5176\u4ed6\u751f\u6210\u6a21\u578b\u7684\u7ed3\u5408\u7684\u5de5\u4f5c\u5e76\u9610\u660e\u4e86\u5728\u539f\u59cb\u751f\u6210\u6a21\u578b\u4e0a\u7684\u6539\u8fdb\u4e4b\u5904\u3002Diffusion model\u5728\u8bf8\u591a\u9886\u57df\u90fd\u6709\u7740\u4f18\u5f02\u7684\u8868\u73b0\uff0c\u5e76\u4e14\u8003\u8651\u5230\u4e0d\u540c\u9886\u57df\u7684\u5e94\u7528\u4e2ddiffusion model\u4ea7\u751f\u4e86\u4e0d\u540c\u7684\u53d8\u5f62\uff0c\u6211\u4eec\u7cfb\u7edf\u5730\u4ecb\u7ecd\u4e86diffusion model\u7684\u5e94\u7528\u7814\u7a76\uff0c\u5176\u4e2d\u5305\u542b\u5982\u4e0b\u9886\u57df\uff1a\u8ba1\u7b97\u673a\u89c6\u89c9\uff0cNLP\u3001\u6ce2\u5f62\u4fe1\u53f7\u5904\u7406\u3001\u591a\u6a21\u6001\u5efa\u6a21\u3001\u5206\u5b50\u56fe\u5efa\u6a21\u3001\u65f6\u95f4\u5e8f\u5217\u5efa\u6a21\u3001\u5bf9\u6297\u6027\u51c0\u5316\u3002\u5bf9\u4e8e\u6bcf\u4e2a\u4efb\u52a1\uff0c\u6211\u4eec\u5b9a\u4e49\u4e86\u8be5\u4efb\u52a1\u5e76\u4ecb\u7ecd\u5229\u7528\u6269\u6563\u6a21\u578b\u5904\u7406\u4efb\u52a1\u7684\u5de5\u4f5c\uff0c<strong>\u6211\u4eec\u5c06\u672c\u9879\u5de5\u4f5c\u7684\u4e3b\u8981\u8d21\u732e\u603b\u7ed3\u5982\u4e0b\uff1a<\/strong><\/p>\n\n\n\n<ul><li><strong>\u65b0\u7684\u5206\u7c7b\u65b9\u6cd5<\/strong>\uff1a\u6211\u4eec\u5bf9\u6269\u6563\u6a21\u578b\u548c\u5176\u5e94\u7528\u63d0\u51fa\u4e86\u4e00\u79cd\u65b0\u7684\u3001\u7cfb\u7edf\u7684\u5206\u7c7b\u6cd5\u3002\u5177\u4f53\u7684\u6211\u4eec\u5c06\u6a21\u578b\u5206\u4e3a\u4e09\u7c7b\uff1a\u91c7\u6837\u901f\u5ea6\u589e\u5f3a\u3001\u6700\u5927\u4f3c\u7136\u4f30\u8ba1\u589e\u5f3a\u3001\u6570\u636e\u6cdb\u5316\u589e\u5f3a\u3002\u8fdb\u4e00\u6b65\u5730\uff0c\u6211\u4eec\u5c06\u6269\u6563\u6a21\u578b\u7684\u5e94\u7528\u5206\u4e3a\u4e03\u7c7b\uff1a\u8ba1\u7b97\u673a\u89c6\u89c9\uff0cNLP\u3001\u6ce2\u5f62\u4fe1\u53f7\u5904\u7406\u3001\u591a\u6a21\u6001\u5efa\u6a21\u3001\u5206\u5b50\u56fe\u5efa\u6a21\u3001\u65f6\u95f4\u5e8f\u5217\u5efa\u6a21\u3001\u5bf9\u6297\u6027\u51c0\u5316\u3002<\/li><li><strong>\u5168\u9762\u7684\u56de\u987e<\/strong>\uff1a\u6211\u4eec\u9996\u6b21\u5168\u9762\u5730\u6982\u8ff0\u4e86\u73b0\u4ee3\u6269\u6563\u6a21\u578b\u53ca\u5176\u5e94\u7528\u3002\u6211\u4eec\u5c55\u793a\u4e86\u6bcf\u79cd\u6269\u6563\u6a21\u578b\u7684\u4e3b\u8981\u6539\u8fdb\uff0c\u548c\u539f\u59cb\u6a21\u578b\u8fdb\u884c\u4e86\u5fc5\u8981\u7684\u6bd4\u8f83\uff0c\u5e76\u603b\u7ed3\u4e86\u76f8\u5e94\u7684\u8bba\u6587\u3002\u5bf9\u4e8e\u6269\u6563\u6a21\u578b\u7684\u6bcf\u79cd\u7c7b\u578b\u7684\u5e94\u7528\uff0c\u6211\u4eec\u5c55\u793a\u4e86\u6269\u6563\u6a21\u578b\u8981\u89e3\u51b3\u7684\u4e3b\u8981\u95ee\u9898\uff0c\u5e76\u8bf4\u660e\u5b83\u4eec\u5982\u4f55\u89e3\u51b3\u8fd9\u4e9b\u95ee\u9898\u3002<\/li><li><strong>\u672a\u6765\u7814\u7a76\u65b9\u5411<\/strong>\uff1a\u6211\u4eec\u5bf9\u672a\u6765\u7814\u7a76\u63d0\u51fa\u4e86\u5f00\u653e\u578b\u95ee\u9898\uff0c\u5e76\u5bf9\u6269\u6563\u6a21\u578b\u5728\u7b97\u6cd5\u548c\u5e94\u7528\u65b9\u9762\u7684\u672a\u6765\u53d1\u5c55\u63d0\u4f9b\u4e86\u4e00\u4e9b\u5efa\u8bae\u3002<\/li><\/ul>\n\n\n\n<h2><strong>\u6269\u6563\u6a21\u578b\u57fa\u7840<\/strong><\/h2>\n\n\n\n<p>    \u751f\u6210\u5f0f\u5efa\u6a21\u7684\u4e00\u4e2a\u6838\u5fc3\u95ee\u9898\u662f\u6a21\u578b\u7684\u7075\u6d3b\u6027\u548c\u53ef\u8ba1\u7b97\u6027\u4e4b\u95f4\u7684\u6743\u8861\u3002\u6269\u6563\u6a21\u578b\u7684\u57fa\u672c\u601d\u60f3\u662f\u6b63\u5411\u6269\u6563\u8fc7\u7a0b\u6765\u7cfb\u7edf\u5730\u6270\u52a8\u6570\u636e\u4e2d\u7684\u5206\u5e03\uff0c\u7136\u540e\u901a\u8fc7\u5b66\u4e60\u53cd\u5411\u6269\u6563\u8fc7\u7a0b\u6062\u590d\u6570\u636e\u7684\u5206\u5e03\uff0c\u8fd9\u6837\u5c31\u4e86\u4ea7\u751f\u4e00\u4e2a\u9ad8\u5ea6\u7075\u6d3b\u4e14\u6613\u4e8e\u8ba1\u7b97\u7684\u751f\u6210\u6a21\u578b\u3002<\/p>\n\n\n\n<h3><strong>1.Denoising Diffusion Probabilistic Models\uff08DDPM\uff09<\/strong><\/h3>\n\n\n\n<p>\u4e00\u4e2aDDPM\u7531\u4e24\u4e2a\u53c2\u6570\u5316\u9a6c\u5c14\u53ef\u592b\u94fe\u7ec4\u6210\uff0c\u5e76\u4f7f\u7528\u53d8\u5206\u63a8\u65ad\u4ee5\u5728\u6709\u9650\u65f6\u95f4\u540e\u751f\u6210\u4e0e\u539f\u59cb\u6570\u636e\u5206\u5e03\u4e00\u81f4\u7684\u6837\u672c\u3002\u524d\u5411\u94fe\u7684\u4f5c\u7528\u662f\u6270\u52a8\u6570\u636e\uff0c\u5b83\u6839\u636e\u9884\u5148\u8bbe\u8ba1\u7684\u566a\u58f0\u8fdb\u5ea6\u5411\u6570\u636e\u9010\u6e10\u52a0\u5165\u9ad8\u65af\u566a\u58f0\uff0c\u76f4\u5230\u6570\u636e\u7684\u5206\u5e03\u8d8b\u4e8e\u5148\u9a8c\u5206\u5e03\uff0c\u5373\u6807\u51c6\u9ad8\u65af\u5206\u5e03\u3002\u53cd\u5411\u94fe\u4ece\u7ed9\u5b9a\u7684\u5148\u9a8c\u5f00\u59cb\u5e76\u4f7f\u7528\u53c2\u6570\u5316\u7684\u9ad8\u65af\u8f6c\u6362\u6838\uff0c\u5b66\u4e60\u9010\u6b65\u6062\u590d\u539f\u6570\u636e\u5206\u5e03\u3002\u7528\u8868\u793a\u539f\u59cb\u6570\u636e\u53ca\u5176\u5206\u5e03,\u5219\u524d\u5411\u94fe\u7684\u5206\u5e03\u662f\u53ef\u7531\u4e0b\u5f0f\u8868\u8fbe\uff1a<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img loading=\"lazy\" width=\"519\" height=\"156\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-156.png\" alt=\"\" class=\"wp-image-7839\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-156.png 519w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-156-300x90.png 300w\" sizes=\"(max-width: 519px) 100vw, 519px\" \/><\/figure><\/div>\n\n\n\n<p>\u8fd9\u8bf4\u660e\u524d\u5411\u94fe\u662f\u9a6c\u5c14\u53ef\u592b\u8fc7\u7a0b\uff0c\u662f\u52a0\u5165t\u6b65\u566a\u97f3\u540e\u7684\u6837\u672c\uff0c\u662f\u4e8b\u5148\u7ed9\u5b9a\u7684\u63a7\u5236\u566a\u58f0\u8fdb\u5ea6\u7684\u53c2\u6570\u3002\u5f53 \u8d8b\u4e8e1\u65f6\uff0c\u53ef\u4ee5\u8fd1\u4f3c\u8ba4\u4e3a\u670d\u4ece\u6807\u51c6\u9ad8\u65af\u5206\u5e03\u3002\u5f53\u5f88\u5c0f\u65f6\uff0c\u9006\u5411\u8fc7\u7a0b\u7684\u8f6c\u79fb\u6838\u53ef\u4ee5\u8fd1\u4f3c\u8ba4\u4e3a\u4e5f\u662f\u9ad8\u65af\u7684\uff1a<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img loading=\"lazy\" width=\"484\" height=\"141\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-157.png\" alt=\"\" class=\"wp-image-7840\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-157.png 484w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-157-300x87.png 300w\" sizes=\"(max-width: 484px) 100vw, 484px\" \/><\/figure><\/div>\n\n\n\n<p>\u6211\u4eec\u53ef\u4ee5\u5c06\u53d8\u5206\u4e0b\u754c\u4f5c\u4e3a\u635f\u5931\u51fd\u6570\u8fdb\u884c\u5b66\u4e60\uff1a<\/p>\n\n\n\n<p> <\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img loading=\"lazy\" width=\"546\" height=\"161\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-158.png\" alt=\"\" class=\"wp-image-7841\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-158.png 546w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-158-300x88.png 300w\" sizes=\"(max-width: 546px) 100vw, 546px\" \/><\/figure><\/div>\n\n\n\n<h3><strong>2.Score-Based Generative Models\uff08SGM\uff09<\/strong><\/h3>\n\n\n\n<p>\u4e0a\u8ff0DDPM\u53ef\u4ee5\u89c6\u4f5cSGM\u7684\u79bb\u6563\u5f62\u5f0f\u3002SGM\u6784\u9020\u4e00\u4e2a\u968f\u673a\u5fae\u5206\u65b9\u7a0b\uff08SDE\uff09\u6765\u5e73\u6ed1\u7684\u6270\u4e71\u6570\u636e\u5206\u5e03\uff0c\u5c06\u539f\u59cb\u6570\u636e\u5206\u5e03\u8f6c\u5316\u5230\u5df2\u77e5\u7684\u5148\u9a8c\u5206\u5e03\uff1a<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img loading=\"lazy\" width=\"296\" height=\"45\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-159.png\" alt=\"\" class=\"wp-image-7842\"\/><\/figure><\/div>\n\n\n\n<p>\u548c\u4e00\u4e2a\u76f8\u5e94\u7684\u9006\u5411SDE\uff0c\u6765\u5c06\u5148\u9a8c\u5206\u5e03\u53d8\u6362\u56de\u539f\u59cb\u6570\u636e\u5206\u5e03\uff1a<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img loading=\"lazy\" width=\"508\" height=\"56\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-160.png\" alt=\"\" class=\"wp-image-7844\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-160.png 508w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-160-300x33.png 300w\" sizes=\"(max-width: 508px) 100vw, 508px\" \/><\/figure><\/div>\n\n\n\n<p>\u56e0\u6b64\uff0c\u8981\u9006\u8f6c\u6269\u6563\u8fc7\u7a0b\u5e76\u751f\u6210\u6570\u636e\uff0c\u6211\u4eec\u9700\u8981\u7684\u552f\u4e00\u4fe1\u606f\u5c31\u662f\u5728\u6bcf\u4e2a\u65f6\u95f4\u70b9\u7684\u5206\u6570\u51fd\u6570\u3002\u5229\u7528score-matching\u7684\u6280\u5de7\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u5982\u4e0b\u635f\u5931\u51fd\u6570\u6765\u5b66\u4e60\u5206\u6570\u51fd\u6570\uff1a<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img loading=\"lazy\" width=\"486\" height=\"47\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-161.png\" alt=\"\" class=\"wp-image-7845\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-161.png 486w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-161-300x29.png 300w\" sizes=\"(max-width: 486px) 100vw, 486px\" \/><\/figure><\/div>\n\n\n\n<p>\u5bf9\u4e24\u79cd\u65b9\u6cd5\u7684\u8fdb\u4e00\u6b65\u4ecb\u7ecd\u548c\u4e24\u8005\u5173\u7cfb\u7684\u4ecb\u7ecd\u8bf7\u53c2\u89c1\u6211\u4eec\u7684\u6587\u7ae0\u3002\u539f\u59cb\u6269\u6563\u6a21\u578b\u7684\u4e09\u4e2a\u4e3b\u8981\u7f3a\u70b9\uff0c\u91c7\u6837\u901f\u5ea6\u6162\uff0c\u6700\u5927\u5316\u4f3c\u7136\u5dee\u3001\u6570\u636e\u6cdb\u5316\u80fd\u529b\u5f31\u3002\u6700\u8fd1\u8bb8\u591a\u7814\u7a76\u90fd\u5728\u89e3\u51b3\u8fd9\u4e9b\u7f3a\u70b9\uff0c\u56e0\u6b64\u6211\u4eec\u5c06\u6539\u8fdb\u7684\u6269\u6563\u6a21\u578b\u5206\u4e3a\u4e09\u7c7b\uff1a\u91c7\u6837\u901f\u5ea6\u63d0\u5347\u3001\u6700\u5927\u4f3c\u7136\u589e\u5f3a\u548c\u6570\u636e\u6cdb\u5316\u589e\u5f3a\u3002\u5728\u63a5\u4e0b\u6765\u7684\u4e09\u3001\u56db\u3001\u4e94\u8282\u6211\u4eec\u5c06\u5bf9\u8fd9\u4e09\u7c7b\u6a21\u578b\u8fdb\u884c\u8be6\u7ec6\u7684\u4ecb\u7ecd\u3002<\/p>\n\n\n\n<h2><strong>\u91c7\u6837\u52a0\u901f\u65b9\u6cd5<\/strong><\/h2>\n\n\n\n<p>\u5728\u5e94\u7528\u65f6\uff0c\u4e3a\u4e86\u8ba9\u65b0\u6837\u672c\u7684\u8d28\u91cf\u8fbe\u5230\u6700\u4f73\uff0c\u6269\u6563\u6a21\u578b\u5f80\u5f80\u9700\u8981\u8fdb\u884c\u6210\u5343\u4e0a\u4e07\u6b65\u8ba1\u7b97\u6765\u83b7\u53d6\u4e00\u4e2a\u65b0\u6837\u672c\u3002\u8fd9\u9650\u5236\u4e86diffusion model\u7684\u5b9e\u9645\u5e94\u7528\u4ef7\u503c\uff0c\u56e0\u4e3a\u5728\u5b9e\u9645\u5e94\u7528\u65f6\uff0c\u6211\u4eec\u5f80\u5f80\u9700\u8981\u4ea7\u751f\u5927\u91cf\u7684\u65b0\u6837\u672c\uff0c\u6765\u4e3a\u4e0b\u4e00\u6b65\u5904\u7406\u63d0\u4f9b\u6750\u6599\u3002\u7814\u7a76\u8005\u4eec\u5728\u63d0\u9ad8diffusion model\u91c7\u6837\u901f\u5ea6\u4e0a\u8fdb\u884c\u4e86\u5927\u91cf\u7684\u7814\u7a76\u3002\u6211\u4eec\u5bf9\u8fd9\u4e9b\u7814\u7a76\u8fdb\u884c\u4e86\u8be6\u7ec6\u7684\u9610\u8ff0\u3002\u6211\u4eec\u5c06\u5176\u7ec6\u5316\u5206\u7c7b\u4e3a\u4e09\u79cd\u65b9\u6cd5\uff1aDiscretization Optimization\uff0cNon-Markovian Process\uff0cPartial Sampling\u3002<\/p>\n\n\n\n<p>1.Discretization Optimization<\/p>\n\n\n\n<p>\u65b9\u6cd5\u4f18\u5316\u6c42\u89e3diffusion SDE\u7684\u65b9\u6cd5\u3002\u56e0\u4e3a\u73b0\u5b9e\u4e2d\u6c42\u89e3\u590d\u6742SDE\u53ea\u80fd\u4f7f\u7528\u79bb\u6563\u89e3\u6765\u903c\u8fd1\u771f\u6b63\u7684\u89e3\uff0c\u6240\u4ee5\u8be5\u7c7b\u65b9\u6cd5\u8bd5\u56fe\u4f18\u5316SDE\u7684\u79bb\u6563\u5316\u65b9\u6cd5\uff0c\u5728\u4fdd\u8bc1\u6837\u672c\u8d28\u91cf\u7684\u540c\u65f6\u51cf\u5c11\u79bb\u6563\u6b65\u6570\u3002SGM \u63d0\u51fa\u4e86\u4e00\u4e2a\u901a\u7528\u7684\u65b9\u6cd5\u6765\u6c42\u89e3\u9006\u5411\u8fc7\u7a0b\uff0c\u5373\u5bf9\u524d\u5411\u548c\u540e\u5411\u8fc7\u7a0b\u91c7\u53d6\u76f8\u540c\u7684\u79bb\u6563\u65b9\u6cd5\u3002\u5982\u679c\u7ed9\u5b9a\u4e86\u524d\u5411SDE\u7684\u79bb\u6563\u65b9\u5f0f\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"330\" height=\"39\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-162.png\" alt=\"\" class=\"wp-image-7846\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-162.png 330w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-162-300x35.png 300w\" sizes=\"(max-width: 330px) 100vw, 330px\" \/><\/figure>\n\n\n\n<p>\u90a3\u4e48\u6211\u4eec\u5c31\u53ef\u4ee5\u4ee5\u76f8\u540c\u7684\u65b9\u5f0f\u79bb\u6563\u5316\u9006\u5411SDE\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"377\" height=\"38\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-163.png\" alt=\"\" class=\"wp-image-7847\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-163.png 377w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-163-300x30.png 300w\" sizes=\"(max-width: 377px) 100vw, 377px\" \/><\/figure>\n\n\n\n<p>\u8fd9\u79cd\u65b9\u6cd5\u6bd4\u6734\u7d20DDPM\u6548\u679c\u7565\u597d\u4e00\u70b9\u3002\u8fdb\u4e00\u6b65\uff0cSGM\u5411SDE\u6c42\u89e3\u5668\u4e2d\u52a0\u5165\u4e86\u4e00\u4e2a\u77eb\u6b63\u5668\uff0c\u4ece\u800c\u8ba9\u6bcf\u4e00\u6b65\u751f\u6210\u7684\u6837\u672c\u90fd\u6709\u6b63\u786e\u7684\u5206\u5e03\u3002\u5728\u6c42\u89e3\u7684\u6bcf\u4e00\u6b65\uff0c\u6c42\u89e3\u5668\u7ed9\u51fa\u4e00\u4e2a\u6837\u672c\u540e\uff0c\u77eb\u6b63\u5668\u90fd\u4f7f\u7528\u9a6c\u5c14\u53ef\u592b\u94fe\u8499\u7279\u5361\u7f57\u65b9\u6cd5\u6765\u77eb\u6b63\u521a\u751f\u6210\u7684\u6837\u672c\u7684\u5206\u5e03\u3002\u5b9e\u9a8c\u8868\u660e\u5411\u6c42\u89e3\u5668\u4e2d\u52a0\u5165\u77eb\u6b63\u5668\u6bd4\u76f4\u63a5\u589e\u52a0\u6c42\u89e3\u5668\u7684\u6b65\u6570\u6548\u7387\u66f4\u9ad8\u3002<\/p>\n\n\n\n<p>2.Non-Markovian Process\u65b9\u6cd5\u7a81\u7834\u4e86\u539f\u6709Markovian Process\u7684\u9650\u5236\uff0c\u5176\u9006\u8fc7\u7a0b\u7684\u6bcf\u4e00\u6b65\u53ef\u4ee5\u4f9d\u8d56\u66f4\u591a\u4ee5\u5f80\u7684\u6837\u672c\u6765\u8fdb\u884c\u9884\u6d4b\u65b0\u6837\u672c\uff0c\u6240\u4ee5\u5728\u6b65\u957f\u8f83\u5927\u65f6\u4e5f\u80fd\u505a\u51fa\u8f83\u597d\u7684\u9884\u6d4b\uff0c\u4ece\u800c\u52a0\u901f\u91c7\u6837\u8fc7\u7a0b\u3002\u5176\u4e2d\u4e3b\u8981\u7684\u5de5\u4f5cDDIM\uff0c\u4e0d\u518d\u5047\u8bbe\u524d\u5411\u8fc7\u7a0b\u662f\u9a6c\u5c14\u53ef\u592b\u8fc7\u7a0b\uff0c\u800c\u662f\u670d\u4ece\u5982\u4e0b\u5206\u5e03\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"550\" height=\"228\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-164.png\" alt=\"\" class=\"wp-image-7848\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-164.png 550w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-164-300x124.png 300w\" sizes=\"(max-width: 550px) 100vw, 550px\" \/><\/figure>\n\n\n\n<p>DDIM\u7684\u91c7\u6837\u8fc7\u7a0b\u53ef\u4ee5\u89c6\u4e3a\u79bb\u6563\u5316\u7684\u795e\u7ecf\u5e38\u5fae\u5206\u65b9\u7a0b\uff0c\u5176\u91c7\u6837\u8fc7\u7a0b\u66f4\u9ad8\u6548\uff0c\u5e76\u4e14\u652f\u6301\u6837\u672c\u7684\u5185\u63d2\u3002\u8fdb\u4e00\u6b65\u7684\u7814\u7a76\u53d1\u73b0DDIM\u53ef\u4ee5\u89c6\u4f5c\u6d41\u5f62\u4e0a\u6269\u6563\u6a21\u578bPNDM\u7684\u7279\u4f8b\u30023.Partial Sampling\u65b9\u6cd5\u901a\u8fc7\u5728generation process\u4e2d\u5ffd\u7565\u4e00\u90e8\u5206\u7684\u65f6\u95f4\u8282\u70b9\uff0c\u800c\u53ea\u4f7f\u7528\u5269\u4e0b\u7684\u65f6\u95f4\u8282\u70b9\u6765\u751f\u6210\u6837\u672c\uff0c\u76f4\u63a5\u51cf\u5c11\u4e86\u91c7\u6837\u65f6\u95f4\u3002\u4f8b\u5982\uff0cProgressive Distillation\u4ece\u8bad\u7ec3\u597d\u7684\u6269\u6563\u6a21\u578b\u4e2d\u84b8\u998f\u51fa\u6548\u7387\u66f4\u9ad8\u7684\u6269\u6563\u6a21\u578b\u3002\u5bf9\u4e8e\u8bad\u7ec3\u597d\u7684\u4e00\u4e2a\u6269\u6563\u6a21\u578b\uff0cProgressive Distillation\u4f1a\u4ece\u65b0\u8bad\u7ec3\u4e00\u4e2a\u6269\u6563\u6a21\u578b\uff0c\u4f7f\u65b0\u7684\u6269\u6563\u6a21\u578b\u7684\u4e00\u6b65\u5bf9\u5e94\u4e8e\u8bad\u7ec3\u597d\u7684\u6269\u6563\u6a21\u578b\u7684\u4e24\u6b65\uff0c\u8fd9\u6837\u65b0\u6a21\u578b\u5c31\u53ef\u4ee5\u7701\u53bb\u8001\u6a21\u578b\u4e00\u534a\u7684\u91c7\u6837\u8fc7\u7a0b\u3002\u5177\u4f53\u7b97\u6cd5\u5982\u4e0b\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"682\" height=\"870\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-165.png\" alt=\"\" class=\"wp-image-7850\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-165.png 682w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-165-235x300.png 235w\" sizes=\"(max-width: 682px) 100vw, 682px\" \/><\/figure>\n\n\n\n<p>\u4e0d\u65ad\u5faa\u73af\u8fd9\u4e2a\u84b8\u998f\u8fc7\u7a0b\u5c31\u80fd\u8ba9\u91c7\u6837\u6b65\u9aa4\u6307\u6570\u7ea7\u4e0b\u964d\u3002<\/p>\n\n\n\n<h2><strong>\u6700\u5927\u4f3c\u7136\u4f30\u8ba1\u52a0\u5f3a<\/strong><\/h2>\n\n\n\n<p>\u6269\u6563\u6a21\u578b\u5728\u6700\u5927\u4f3c\u7136\u4f30\u8ba1\u7684\u8868\u73b0\u5dee\u4e8e\u57fa\u4e8e\u4f3c\u7136\u51fd\u6570\u7684\u751f\u6210\u6a21\u578b\uff0c\u4f46\u6700\u5927\u5316\u4f3c\u7136\u4f30\u8ba1\u5728\u8bf8\u591a\u5e94\u7528\u573a\u666f\u90fd\u6709\u91cd\u8981\u610f\u4e49\uff0c\u6bd4\u5982\u56fe\u7247\u538b\u7f29, \u534a\u76d1\u7763\u5b66\u4e60, \u5bf9\u6297\u6027\u51c0\u5316\u3002\u7531\u4e8e\u5bf9\u6570\u4f3c\u7136\u96be\u4ee5\u76f4\u63a5\u8ba1\u7b97\uff0c\u7814\u7a76\u4e3b\u8981\u96c6\u4e2d\u5728\u4f18\u5316\u548c\u5206\u6790\u53d8\u5206\u4e0b\u754c\uff08VLB\uff09\u3002\u6211\u4eec\u5bf9\u63d0\u9ad8\u6269\u6563\u6a21\u578b\u6700\u5927\u4f3c\u7136\u4f30\u8ba1\u7684\u6a21\u578b\u8fdb\u884c\u4e86\u8be6\u7ec6\u7684\u9610\u8ff0\u3002\u6211\u4eec\u5c06\u5176\u7ec6\u5316\u5206\u7c7b\u4e3a\u4e09\u7c7b\u65b9\u6cd5\uff1aObjectives Designing\uff0cNoise Schedule Optimization\uff0cLearnable Reverse Variance\u3002<\/p>\n\n\n\n<p>1.Objectives Designing\u65b9\u6cd5\u5229\u7528\u6269\u6563 SDE\u63a8\u5012\u51fa\u751f\u6210\u6570\u636e\u7684\u5bf9\u6570\u4f3c\u7136\u4e0e\u5206\u6570\u51fd\u6570\u5339\u914d\u7684\u635f\u5931\u51fd\u6570\u7684\u5173\u7cfb\u3002\u8fd9\u6837\u901a\u8fc7\u9002\u5f53\u8bbe\u8ba1\u635f\u5931\u51fd\u6570\uff0c\u5c31\u53ef\u4ee5\u6700\u5927\u5316 VLB \u548c\u5bf9\u6570\u4f3c\u7136\u3002Song et al. \u8bc1\u660e\u4e86\u53ef\u4ee5\u8bbe\u8ba1\u635f\u5931\u51fd\u6570\u7684\u6743\u91cd\u51fd\u6570\uff0c\u4f7f\u5f97plug-in reverse SDE \u751f\u6210\u6837\u672c\u7684\u4f3c\u7136\u51fd\u6570\u503c\u5c0f\u4e8e\u7b49\u4e8e\u635f\u5931\u51fd\u6570\u503c\uff0c\u5373\u635f\u5931\u51fd\u6570\u662f\u4f3c\u7136\u51fd\u6570\u7684\u4e0a\u754c\u3002\u5206\u6570\u51fd\u6570\u62df\u5408\u7684\u635f\u5931\u51fd\u6570\u5982\u4e0b\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"935\" height=\"75\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-166.png\" alt=\"\" class=\"wp-image-7852\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-166.png 935w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-166-300x24.png 300w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-166-768x62.png 768w\" sizes=\"(max-width: 935px) 100vw, 935px\" \/><\/figure>\n\n\n\n<p>\u6211\u4eec\u53ea\u9700\u5c06\u6743\u91cd\u51fd\u6570\u8bbe\u4e3a\u6269\u6563\u7cfb\u6570g\uff08t\uff09\u5373\u53ef\u8ba9\u635f\u5931\u51fd\u6570\u6210\u4e3a\u4f3c\u7136\u51fd\u6570\u7684VLB\uff0c\u5373\uff1a<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-167.png\" alt=\"\" class=\"wp-image-7853\" width=\"562\" height=\"49\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-167.png 573w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-167-300x26.png 300w\" sizes=\"(max-width: 562px) 100vw, 562px\" \/><\/figure><\/div>\n\n\n\n<p>2.Noise Schedule Optimization\u901a\u8fc7\u8bbe\u8ba1\u6216\u5b66\u4e60\u524d\u5411\u8fc7\u7a0b\u7684\u566a\u58f0\u8fdb\u5ea6\u6765\u589e\u5927VLB\u3002VDM\u8bc1\u660e\u4e86\u5f53\u79bb\u6563\u6b65\u6570\u63a5\u8fd1\u65e0\u7a77\u65f6\uff0c\u635f\u5931\u51fd\u6570\u5b8c\u5168\u7531\u4fe1\u566a\u6bd4\u51fd\u6570SNR\uff08t\uff09\u7684\u7aef\u70b9\u51b3\u5b9a\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"591\" height=\"117\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-168.png\" alt=\"\" class=\"wp-image-7854\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-168.png 591w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-168-300x59.png 300w\" sizes=\"(max-width: 591px) 100vw, 591px\" \/><\/figure>\n\n\n\n<p>\u90a3\u4e48\u5728\u79bb\u6563\u6b65\u6570\u63a5\u8fd1\u65e0\u7a77\u65f6\uff0c\u53ef\u4ee5\u901a\u8fc7\u5b66\u4e60\u4fe1\u566a\u6bd4\u51fd\u6570SNR\uff08t\uff09\u7684\u7aef\u70b9\u6700\u4f18\u5316VLB\uff0c\u800c\u901a\u8fc7\u5b66\u4e60\u4fe1\u566a\u6bd4\u51fd\u6570\u4e2d\u95f4\u90e8\u5206\u7684\u51fd\u6570\u503c\u6765\u5b9e\u73b0\u6a21\u578b\u5176\u4ed6\u65b9\u9762\u7684\u6539\u8fdb\u3002<\/p>\n\n\n\n<p>3.Learnable Reverse Variance\u65b9\u6cd5\u5b66\u4e60\u53cd\u5411\u8fc7\u7a0b\u7684\u65b9\u5dee\uff0c\u4ece\u800c\u8f83\u5c11\u62df\u5408\u8bef\u5dee\uff0c\u53ef\u4ee5\u6709\u6548\u5730\u6700\u5927\u5316VLB\u3002Analytic-DPM\u8bc1\u660e\uff0c\u5728DDPM\u548cDDIM\u4e2d\u5b58\u5728\u53cd\u5411\u8fc7\u7a0b\u4e2d\u7684\u6700\u4f18\u671f\u671b\u548c\u65b9\u5dee\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"891\" height=\"263\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-169.png\" alt=\"\" class=\"wp-image-7855\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-169.png 891w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-169-300x89.png 300w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-169-768x227.png 768w\" sizes=\"(max-width: 891px) 100vw, 891px\" \/><\/figure>\n\n\n\n<p>\u4f7f\u7528\u4e0a\u8ff0\u516c\u5f0f\u548c\u8bad\u7ec3\u597d\u7684\u5206\u6570\u51fd\u6570\uff0c\u5728\u7ed9\u5b9a\u524d\u5411\u8fc7\u7a0b\u7684\u6761\u4ef6\u4e0b\uff0c\u6700\u4f18\u7684VLB\u53ef\u4ee5\u8fd1\u4f3c\u8fbe\u5230\u3002<\/p>\n\n\n\n<h2><strong>\u6570\u636e\u6cdb\u5316\u589e\u5f3a<\/strong><\/h2>\n\n\n\n<p>\u6269\u6563\u6a21\u578b\u5047\u8bbe\u6570\u636e\u5b58\u5728\u4e8e\u6b27\u51e0\u91cc\u5f97\u7a7a\u95f4\uff0c\u5373\u5177\u6709\u5e73\u9762\u51e0\u4f55\u5f62\u72b6\u7684\u6d41\u5f62\uff0c\u5e76\u6dfb\u52a0\u9ad8\u65af\u566a\u58f0\u5c06\u4e0d\u53ef\u907f\u514d\u5730\u5c06\u6570\u636e\u8f6c\u6362\u4e3a\u8fde\u7eed\u72b6\u6001\u7a7a\u95f4\uff0c\u6240\u4ee5\u6269\u6563\u6a21\u578b\u6700\u521d\u53ea\u80fd\u5904\u7406\u56fe\u7247\u7b49\u8fde\u7eed\u6027\u6570\u636e\uff0c\u76f4\u63a5\u5e94\u7528\u79bb\u6563\u6570\u636e\u6216\u5176\u4ed6\u6570\u636e\u7c7b\u578b\u7684\u6548\u679c\u8f83\u5dee\u3002\u8fd9\u9650\u5236\u4e86\u6269\u6563\u6a21\u578b\u7684\u5e94\u7528\u573a\u666f\u3002\u6570\u4e2a\u7814\u7a76\u5de5\u4f5c\u5c06\u6269\u6563\u6a21\u578b\u63a8\u5e7f\u5230\u9002\u7528\u4e8e\u5176\u4ed6\u6570\u636e\u7c7b\u578b\u7684\u6a21\u578b\uff0c\u6211\u4eec\u5bf9\u8fd9\u4e9b\u65b9\u6cd5\u8fdb\u884c\u4e86\u8be6\u7ec6\u5730\u9610\u91ca\u3002\u6211\u4eec\u5c06\u5176\u7ec6\u5316\u5206\u7c7b\u4e3a\u4e24\u7c7b\u65b9\u6cd5\uff1aFeature Space Unification\uff0cData-Dependent Transition Kernels\u30021.Feature Space Unification\u65b9\u6cd5\u5c06\u6570\u636e\u8f6c\u5316\u5230\u7edf\u4e00\u5f62\u5f0f\u7684latent space\uff0c\u7136\u540e\u518dlatent space\u4e0a\u8fdb\u884c\u6269\u6563\u3002LSGM\u63d0\u51fa\u5c06\u6570\u636e\u901a\u8fc7VAE\u6846\u67b6\u5148\u8f6c\u6362\u5230\u8fde\u7eed\u7684latent space \u4e0a\u540e\u518d\u5728\u5176\u4e0a\u8fdb\u884c\u6269\u6563\u3002\u8fd9\u4e2a\u65b9\u6cd5\u7684\u96be\u70b9\u5728\u4e8e\u5982\u4f55\u540c\u65f6\u8bad\u7ec3VAE\u548c\u6269\u6563\u6a21\u578b\u3002LSGM\u8868\u660e\u7531\u4e8e\u6f5c\u5728\u5148\u9a8c\u662fintractable\u7684\uff0c\u5206\u6570\u5339\u914d\u635f\u5931\u4e0d\u518d\u9002\u7528\u3002LSGM\u76f4\u63a5\u4f7f\u7528VAE\u4e2d\u4f20\u7edf\u7684\u635f\u5931\u51fd\u6570ELBO\u4f5c\u4e3a\u635f\u5931\u51fd\u6570\uff0c\u5e76\u5bfc\u51fa\u4e86ELBO\u548c\u5206\u6570\u5339\u914d\u7684\u5173\u7cfb\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"1003\" height=\"121\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-170.png\" alt=\"\" class=\"wp-image-7856\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-170.png 1003w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-170-300x36.png 300w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-170-768x93.png 768w\" sizes=\"(max-width: 1003px) 100vw, 1003px\" \/><\/figure>\n\n\n\n<p>\u8be5\u5f0f\u5728\u5ffd\u7565\u5e38\u6570\u7684\u610f\u4e49\u4e0b\u6210\u7acb\u3002\u901a\u8fc7\u53c2\u6570\u5316\u6269\u6563\u8fc7\u7a0b\u4e2d\u6837\u672c\u7684\u5206\u6570\u51fd\u6570\uff0cLSGM\u53ef\u4ee5\u9ad8\u6548\u7684\u5b66\u4e60\u548c\u4f18\u5316ELBO\u3002<\/p>\n\n\n\n<p>2.Data-Dependent Transition Kernels\u65b9\u6cd5\u6839\u636e\u6570\u636e\u7c7b\u578b\u7684\u7279\u70b9\u8bbe\u8ba1diffusion process \u4e2d\u7684transition kernels\uff0c\u4f7f\u6269\u6563\u6a21\u578b\u53ef\u4ee5\u76f4\u63a5\u5e94\u7528\u4e8e\u7279\u5b9a\u7684\u6570\u636e\u7c7b\u578b\u3002D3PM\u4e3a\u79bb\u6563\u578b\u6570\u636e\u8bbe\u8ba1\u4e86transition kernel\uff0c\u53ef\u4ee5\u8bbe\u4e3alazy random-walk\uff0cabsorbing state\u7b49\u3002GEODIFF\u4e3a3D\u5206\u5b50\u56fe\u6570\u636e\u8bbe\u8ba1\u4e86\u5e73\u79fb-\u65cb\u8f6c\u4e0d\u53d8\u7684\u56fe\u795e\u7ecf\u7f51\u7edc\uff0c\u5e76\u4e14\u8bc1\u660e\u4e86\u5177\u6709\u4e0d\u53d8\u6027\u7684\u521d\u5206\u5e03\u548ctransition kernel\u53ef\u4ee5\u5bfc\u51fa\u5177\u6709\u4e0d\u53d8\u6027\u7684\u8fb9\u7f18\u5206\u5e03\u3002\u5047\u8bbe\u662f\u4e00\u4e2a\u5e73\u79fb-\u65cb\u8f6c\u53d8\u6362\uff0c\u5982:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"566\" height=\"52\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-171.png\" alt=\"\" class=\"wp-image-7857\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-171.png 566w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-171-300x28.png 300w\" sizes=\"(max-width: 566px) 100vw, 566px\" \/><\/figure>\n\n\n\n<p>\u90a3\u4e48\u751f\u6210\u7684\u6837\u672c\u5206\u5e03\u4e5f\u6709\u5e73\u79fb-\u65cb\u8f6c\u4e0d\u53d8\u6027\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"224\" height=\"44\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-172.png\" alt=\"\" class=\"wp-image-7858\"\/><\/figure>\n\n\n\n<h2><strong>\u548c\u5176\u4ed6\u751f\u6210\u6a21\u578b\u7684\u8054\u7cfb<\/strong><\/h2>\n\n\n\n<p>\u5728\u4e0b\u9762\u7684\u6bcf\u4e2a\u5c0f\u8282\u4e2d\uff0c\u6211\u4eec\u9996\u5148\u4ecb\u7ecd\u5176\u4ed6\u4e94\u7c7b\u91cd\u8981\u7684\u751f\u6210\u6a21\u578b\uff0c\u5e76\u5206\u6790\u5b83\u4eec\u7684\u4f18\u52bf\u548c\u5c40\u9650\u6027\u3002\u7136\u540e\u6211\u4eec\u4ecb\u7ecd\u4e86\u6269\u6563\u6a21\u578b\u662f\u5982\u4f55\u4e0e\u5b83\u4eec\u8054\u7cfb\u8d77\u6765\u7684\uff0c\u5e76\u8bf4\u660e\u901a\u8fc7\u7ed3\u5408\u6269\u6563\u6a21\u578b\u6765\u6539\u8fdb\u8fd9\u4e9b\u751f\u6210\u6a21\u578b\u3002VAE\uff0cGAN\uff0cAutoregressive model, Normalizing flow, Energy-based model\u548c\u6269\u6563\u6a21\u578b\u7684\u8054\u7cfb\u5982\u4e0b\u56fe\u6240\u793a\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"685\" height=\"862\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-173.png\" alt=\"\" class=\"wp-image-7860\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-173.png 685w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-173-238x300.png 238w\" sizes=\"(max-width: 685px) 100vw, 685px\" \/><\/figure>\n\n\n\n<ol><li>DDPM\u53ef\u4ee5\u89c6\u4f5c\u5c42\u6b21\u9a6c\u5c14\u53ef\u592bVAE\uff08hierarchical Markovian VAE\uff09\u3002\u4f46DDPM\u548c\u4e00\u822c\u7684VAE\u4e5f\u6709\u533a\u522b\u3002DDPM\u4f5c\u4e3aVAE\uff0c\u5b83\u7684encoder\u548cdecoder\u90fd\u670d\u4ece\u9ad8\u65af\u5206\u5e03\u3001\u6709\u9a6c\u5c14\u79d1\u592b\u884c\uff1b\u5176\u9690\u53d8\u91cf\u7684\u7ef4\u6570\u548c\u6570\u636e\u7ef4\u6570\u76f8\u540c\uff1bdecoder\u7684\u6240\u6709\u5c42\u90fd\u5171\u7528\u4e00\u4e2a\u795e\u7ecf\u7f51\u7edc\u3002<\/li><li>DDPM\u53ef\u4ee5\u5e2e\u52a9GAN\u89e3\u51b3\u8bad\u7ec3\u4e0d\u7a33\u5b9a\u7684\u95ee\u9898\u3002\u56e0\u4e3a\u6570\u636e\u662f\u5728\u9ad8\u7ef4\u7a7a\u95f4\u4e2d\u7684\u4f4e\u7ef4\u6d41\u5f62\u4e2d\uff0c\u6240\u4ee5GAN\u751f\u6210\u6570\u636e\u7684\u5206\u5e03\u548c\u771f\u5b9e\u6570\u636e\u7684\u5206\u5e03\u91cd\u5408\u5ea6\u4f4e\uff0c\u5bfc\u81f4\u8bad\u7ec3\u4e0d\u7a33\u5b9a\u3002\u6269\u6563\u6a21\u578b\u63d0\u4f9b\u4e86\u4e00\u4e2a\u7cfb\u7edf\u5730\u589e\u52a0\u566a\u97f3\u7684\u8fc7\u7a0b\uff0c\u901a\u8fc7\u6269\u6563\u6a21\u578b\u5411\u751f\u6210\u7684\u6570\u636e\u548c\u771f\u5b9e\u6570\u636e\u6dfb\u52a0\u566a\u97f3\uff0c\u7136\u540e\u5c06\u52a0\u5165\u566a\u97f3\u7684\u6570\u636e\u9001\u5165\u5224\u522b\u5668\uff0c\u8fd9\u6837\u53ef\u4ee5\u9ad8\u6548\u5730\u89e3\u51b3GAN\u65e0\u6cd5\u8bad\u7ec3\u3001\u8bad\u7ec3\u4e0d\u7a33\u5b9a\u7684\u95ee\u9898\u3002<\/li><li>Normalizing flow\u901a\u8fc7\u53cc\u5c04\u51fd\u6570\u5c06\u6570\u636e\u8f6c\u6362\u5230\u5148\u9a8c\u5206\u5e03\uff0c\u8fd9\u6837\u7684\u4f5c\u6cd5\u9650\u5236\u4e86Normalizing flow\u7684\u8868\u8fbe\u80fd\u529b\uff0c\u5bfc\u81f4\u5e94\u7528\u6548\u679c\u8f83\u5dee\u3002\u7c7b\u6bd4\u6269\u6563\u6a21\u578b\u5411encoder\u4e2d\u52a0\u5165\u566a\u58f0\uff0c\u53ef\u4ee5\u589e\u52a0Normalizing flow\u7684\u8868\u8fbe\u80fd\u529b\uff0c\u800c\u4ece\u53e6\u4e00\u4e2a\u89c6\u89d2\u770b\uff0c\u8fd9\u6837\u7684\u505a\u6cd5\u662f\u5c06\u6269\u6563\u6a21\u578b\u63a8\u5e7f\u5230\u524d\u5411\u8fc7\u7a0b\u4e5f\u53ef\u5b66\u4e60\u7684\u6a21\u578b\u3002<\/li><li>Autoregressive model\u5728\u9700\u8981\u4fdd\u8bc1\u6570\u636e\u6709\u4e00\u5b9a\u7684\u7ed3\u6784\uff0c\u8fd9\u5bfc\u81f4\u8bbe\u8ba1\u548c\u53c2\u6570\u5316\u81ea\u56de\u5f52\u6a21\u578b\u975e\u5e38\u56f0\u96be\u3002\u6269\u6563\u6a21\u578b\u7684\u8bad\u7ec3\u542f\u53d1\u4e86\u81ea\u56de\u5f52\u6a21\u578b\u7684\u8bad\u7ec3\uff0c\u901a\u8fc7\u7279\u5b9a\u7684\u8bad\u7ec3\u65b9\u5f0f\u907f\u514d\u4e86\u8bbe\u8ba1\u7684\u56f0\u96be\u3002<\/li><li>Energy-based model\u76f4\u63a5\u5bf9\u539f\u59cb\u6570\u636e\u7684\u5206\u5e03\u5efa\u6a21\uff0c\u4f46\u76f4\u63a5\u5efa\u6a21\u5bfc\u81f4\u5b66\u4e60\u548c\u91c7\u6837\u90fd\u6bd4\u8f83\u56f0\u96be\u3002\u901a\u8fc7\u4f7f\u7528\u6269\u6563\u6062\u590d\u4f3c\u7136\uff0c\u6a21\u578b\u53ef\u4ee5\u5148\u5bf9\u6837\u672c\u52a0\u5165\u5fae\u5c0f\u7684\u566a\u58f0\uff0c\u518d\u4ece\u6709\u7565\u5fae\u566a\u58f0\u7684\u6837\u672c\u5206\u5e03\u6765\u63a8\u65ad\u539f\u59cb\u6837\u672c\u7684\u5206\u5e03\uff0c\u4f7f\u7684\u5b66\u4e60\u548c\u91c7\u6837\u8fc7\u7a0b\u66f4\u7b80\u5355\u548c\u7a33\u5b9a\u3002<\/li><\/ol>\n\n\n\n<h2><strong>\u6269\u6563\u6a21\u578b\u7684\u5e94\u7528<\/strong><\/h2>\n\n\n\n<p>\u5728\u672c\u8282\u4e2d\uff0c\u6211\u4eec\u5206\u522b\u4ecb\u7ecd\u4e86\u6269\u6563\u6a21\u578b\u5728\u8ba1\u7b97\u673a\u89c6\u89c9\u3001\u81ea\u7136\u8bed\u8a00\u5904\u7406\u3001\u6ce2\u5f62\u4fe1\u53f7\u5904\u7406\u3001\u591a\u6a21\u6001\u5b66\u4e60\u3001\u5206\u5b50\u56fe\u751f\u6210\u3001\u65f6\u95f4\u5e8f\u5217\u4ee5\u53ca\u5bf9\u6297\u5b66\u4e60\u7b49\u4e03\u5927\u5e94\u7528\u65b9\u5411\u4e2d\u7684\u5e94\u7528\uff0c\u5e76\u5bf9\u6bcf\u7c7b\u5e94\u7528\u4e2d\u7684\u65b9\u6cd5\u8fdb\u884c\u4e86\u7ec6\u5206\u5e76\u89e3\u6790\u3002\u4f8b\u5982\u5728\u8ba1\u7b97\u673a\u89c6\u89c9\u4e2d\u53ef\u4ee5\u7528diffusion model\u8fdb\u884c\u56fe\u50cf\u8865\u5168\u4fee\u590d\uff08RePaint\uff09\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"961\" height=\"449\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-174.png\" alt=\"\" class=\"wp-image-7861\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-174.png 961w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-174-300x140.png 300w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-174-768x359.png 768w\" sizes=\"(max-width: 961px) 100vw, 961px\" \/><\/figure>\n\n\n\n<p>\u5728\u591a\u6a21\u6001\u4efb\u52a1\u4e2d\u53ef\u4ee5\u7528diffusion model\u8fdb\u884c\u6587\u672c\u5230\u56fe\u50cf\u7684\u751f\u6210\uff08GLIDE\uff09\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"941\" height=\"256\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-175.png\" alt=\"\" class=\"wp-image-7863\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-175.png 941w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-175-300x82.png 300w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-175-768x209.png 768w\" sizes=\"(max-width: 941px) 100vw, 941px\" \/><\/figure>\n\n\n\n<p>\u8fd8\u53ef\u4ee5\u5728\u5206\u5b50\u56fe\u751f\u6210\u4e2d\u7528diffusion model\u8fdb\u884c\u836f\u7269\u5206\u5b50\u548c\u86cb\u767d\u8d28\u5206\u5b50\u7684\u751f\u6210\uff08GeoDiff\uff09\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"980\" height=\"212\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-177.png\" alt=\"\" class=\"wp-image-7866\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-177.png 980w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-177-300x65.png 300w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-177-768x166.png 768w\" sizes=\"(max-width: 980px) 100vw, 980px\" \/><\/figure>\n\n\n\n<p>\u5e94\u7528\u5206\u7c7b\u6c47\u603b\u89c1\u8868\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"961\" height=\"389\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-178.png\" alt=\"\" class=\"wp-image-7867\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-178.png 961w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-178-300x121.png 300w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/09\/image-178-768x311.png 768w\" sizes=\"(max-width: 961px) 100vw, 961px\" \/><\/figure>\n\n\n\n<h2><strong>\u672a\u6765\u7814\u7a76\u65b9\u5411<\/strong><\/h2>\n\n\n\n<ol><li>\u5e94\u7528\u5047\u8bbe\u518d\u68c0\u9a8c\u3002\u6211\u4eec\u9700\u8981\u68c0\u67e5\u6211\u4eec\u5728\u5e94\u7528\u4e2d\u666e\u904d\u63a5\u53d7\u7684\u5047\u8bbe\u3002\u4f8b\u5982\uff0c\u5b9e\u8df5\u4e2d\u666e\u904d\u8ba4\u4e3a\u6269\u6563\u6a21\u578b\u7684\u524d\u5411\u8fc7\u7a0b\u4f1a\u5c06\u6570\u636e\u8f6c\u6362\u4e3a\u6807\u51c6\u9ad8\u65af\u5206\u5e03\uff0c\u4f46\u4e8b\u5b9e\u5e76\u975e\u5982\u6b64\uff0c\u66f4\u591a\u7684\u524d\u5411\u6269\u6563\u6b65\u9aa4\u4f1a\u4f7f\u6700\u7ec8\u7684\u6837\u672c\u5206\u5e03\u4e0e\u6807\u51c6\u9ad8\u65af\u5206\u5e03\u66f4\u63a5\u8fd1\uff0c\u4e0e\u91c7\u6837\u8fc7\u7a0b\u4e00\u81f4\uff1b\u4f46\u66f4\u591a\u7684\u524d\u5411\u6269\u6563\u6b65\u9aa4\u4e5f\u4f1a\u4f7f\u4f30\u8ba1\u5206\u6570\u51fd\u6570\u66f4\u52a0\u56f0\u96be\u3002\u7406\u8bba\u7684\u6761\u4ef6\u5f88\u96be\u83b7\u5f97\uff0c\u56e0\u6b64\u5728\u5b9e\u8df5\u4e2d\u64cd\u4f5c\u4e2d\u4f1a\u5bfc\u81f4\u7406\u8bba\u548c\u5b9e\u8df5\u7684\u4e0d\u5339\u914d\u3002\u6211\u4eec\u5e94\u8be5\u610f\u8bc6\u5230\u8fd9\u79cd\u60c5\u51b5\u5e76\u8bbe\u8ba1\u9002\u5f53\u7684\u6269\u6563\u6a21\u578b\u3002<\/li><li>\u4ece\u79bb\u6563\u65f6\u95f4\u5230\u8fde\u7eed\u65f6\u95f4\u3002\u7531\u4e8e\u6269\u6563\u6a21\u578b\u7684\u7075\u6d3b\u6027\uff0c\u8bb8\u591a\u7ecf\u9a8c\u65b9\u6cd5\u53ef\u4ee5\u901a\u8fc7\u8fdb\u4e00\u6b65\u5206\u6790\u5f97\u5230\u52a0\u5f3a\u3002\u901a\u8fc7\u5c06\u79bb\u6563\u65f6\u95f4\u7684\u6a21\u578b\u8f6c\u5316\u5230\u5bf9\u5e94\u7684\u8fde\u7eed\u65f6\u95f4\u6a21\u578b\uff0c\u7136\u540e\u518d\u8bbe\u8ba1\u66f4\u591a\u3001\u66f4\u597d\u7684\u79bb\u6563\u65b9\u6cd5\uff0c\u8fd9\u6837\u7684\u7814\u7a76\u601d\u8def\u6709\u524d\u666f\u3002<\/li><li>\u65b0\u7684\u751f\u6210\u8fc7\u7a0b\u3002\u6269\u6563\u6a21\u578b\u901a\u8fc7\u4e24\u79cd\u4e3b\u8981\u65b9\u6cd5\u751f\u6210\u6837\u672c\uff1a\u4e00\u662f\u79bb\u6563\u5316\u53cd\u5411\u6269\u6563 SDE\uff0c\u7136\u540e\u901a\u8fc7\u79bb\u6563\u7684\u53cd\u5411 SDE \u751f\u6210\u6837\u672c\uff1b\u53e6\u4e00\u4e2a\u662f\u4f7f\u7528\u9006\u8fc7\u7a0b\u4e2d\u9a6c\u5c14\u53ef\u592b\u6027\u8d28\u5bf9\u6837\u672c\u9010\u6b65\u53bb\u566a\u3002\u7136\u800c\uff0c\u5bf9\u4e8e\u4e00\u4e9b\u4efb\u52a1\uff0c\u5728\u5b9e\u8df5\u4e2d\u5f88\u96be\u5e94\u7528\u8fd9\u4e9b\u65b9\u6cd5\u6765\u751f\u6210\u6837\u672c\u3002\u56e0\u6b64\uff0c\u9700\u8981\u8fdb\u4e00\u6b65\u7814\u7a76\u65b0\u7684\u751f\u6210\u8fc7\u7a0b\u548c\u89c6\u89d2\u3002<\/li><li>\u6cdb\u5316\u5230\u66f4\u590d\u6742\u7684\u573a\u666f\u548c\u66f4\u591a\u7684\u7814\u7a76\u9886\u57df\u3002\u867d\u7136\u76ee\u524ddiffusion model\u5df2\u7ecf\u5e94\u7528\u5230\u591a\u4e2a\u573a\u666f\u4e2d\uff0c\u4f46\u662f\u5927\u591a\u6570\u5c40\u9650\u4e8e\u5355\u8f93\u5165\u5355\u8f93\u51fa\u7684\u573a\u666f\uff0c\u5c06\u6765\u53ef\u4ee5\u8003\u8651\u5c06\u5176\u5e94\u7528\u5230\u66f4\u590d\u6742\u7684\u573a\u666f\uff0c\u6bd4\u5982text-to-audiovisual speech synthesis\u3002\u4e5f\u53ef\u4ee5\u8003\u8651\u548c\u66f4\u591a\u7684\u7814\u7a76\u9886\u57df\u76f8\u7ed3\u5408\u3002<\/li><\/ol>\n\n\n\n<h1 class=\"has-light-pink-background-color has-background\"><a href=\"https:\/\/zhuanlan.zhihu.com\/p\/524661592\" target=\"_blank\" rel=\"noreferrer noopener\">part2\uff1a\u3010\u6269\u6563\u6a21\u578b\u7b14\u8bb0\u6574\u7406\u3011\u4eceDDPM\u5230Imagen<\/a><\/h1>\n\n\n\n<h2>\u6269\u6563\u6a21\u578b(Diffusion Model)<\/h2>\n\n\n\n<h3>1. \u6982\u8ff0<\/h3>\n\n\n\n<ul><li>\u5982\u56fe\u6240\u793a\uff0c\u6269\u6563\u6a21\u578b\u5206\u4e24\u4e2a\u8fc7\u7a0b\uff1a\u6269\u6563\uff08diffusion, \u4ecex0\u5230xT\u7684\u8fc7\u7a0b\u9010\u6b65\u52a0\u5165\u566a\u58f0\uff09\u548c\u53bb\u566a\uff08denoise, \u4ecexT\u5230x0\u9010\u6b65\u53bb\u566a\uff09\u3002\u8bad\u7ec3\u7684\u65f6\u5019\uff0c\u9700\u8981\u5229\u7528\u6269\u6563\u52a0\u566a\u6765\u751f\u6210\u8bad\u7ec3\u6837\u672c\uff1b\u63a8\u7406\u7684\u65f6\u5019\uff0c\u8f93\u5165\u4e00\u4e2a\u566a\u97f3\uff0c\u9010\u6b65\u53bb\u566a\u8f93\u51fa\u539f\u59cb\u4fe1\u53f7\uff08\u6bd4\u5982\u56fe\u50cf\u3001\u8bed\u97f3\uff09\u3002<\/li><\/ul>\n\n\n\n<figure class=\"wp-block-image\"><img src=\"https:\/\/pic1.zhimg.com\/80\/v2-de210c224d311a952ff350a35f2916f4_1440w.webp\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img src=\"https:\/\/pic4.zhimg.com\/80\/v2-4643955677d19094e59cd0034f72ee2f_1440w.webp\" alt=\"\"\/><\/figure>\n\n\n\n<blockquote class=\"wp-block-quote\"><p>\u53c2\u8003\u6587\u732e\uff1aDenoising Diffusion Probabilistic Models<\/p><\/blockquote>\n\n\n\n<h3>2. \u6269\u6563\u548c\u53bb\u566a(Diffusion&amp;Denoise)<\/h3>\n\n\n\n<ul><li>\u9996\u5148\u4ecb\u7ecd\u4e00\u4e0b\u9ad8\u65af\u5206\u5e03\u7684\u8868\u8fbe\uff0c\u8bb0\u4f5cX\u223dN(\u03bc,\u03c32)\uff1a<\/li><\/ul>\n\n\n\n<figure class=\"wp-block-image\"><img src=\"https:\/\/pic2.zhimg.com\/80\/v2-683a2b9d8542f4081455bf57906ca051_1440w.webp\" alt=\"\"\/><\/figure>\n\n\n\n<p>\u6269\u6563\u8fc7\u7a0b\u6bcf\u4e00\u6b65\u90fd\u52a0\u5165\u4e00\u4e2a\u65b9\u5dee\u4e3a\u03b2t\u2208(0,1)\u7684\u9ad8\u65af\u566a\u58f0\u53ef\u4ee5\u7528\u9a6c\u5c14\u79d1\u592b\u94fe\u6765\u8868\u793a\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img src=\"https:\/\/pic3.zhimg.com\/80\/v2-df7acc3a887ebdb42f65b4ed18424dee_1440w.webp\" alt=\"\"\/><\/figure>\n\n\n\n<ul><li>\u8fd9\u91cc\u7684\u03b2t\u662f\u4e00\u4e2a0\u52301\u7684\u7b49\u6bd4\u5e8f\u5217\uff08\u03b20=0\uff09\uff0c\u6b64\u65f6\u8868\u793a\u539f\u59cb\u56fe\u50cf\uff1b\u7b2cT\u6b65\u7684\u65f6\u5019\uff0c\u03b2t=1\uff0c\u8868\u793a\u6807\u51c6\u9ad8\u65af\u566a\u58f0N\u223d(0,I)\u3002\u56e0\u800c\u5b9e\u9645\u4e0a\u6269\u6563\u8fc7\u7a0b\u662f\u4e00\u4e2a\u4ece\u539f\u59cb\u56fe\u50cf\u53d8\u4e3a\u6807\u51c6\u9ad8\u65af\u5206\u5e03\u7684\u8fc7\u7a0b\u3002<strong>\u52a0\u566a\u548c\u9ad8\u65af\u91c7\u6837\u7b49\u4ef7\uff0c\u65e0\u975e\u5c31\u662f\u6539\u53d8\u4e86\u4e00\u4e0b\u9ad8\u65af\u91c7\u6837\u7684\u5747\u503c\u4e2d\u5fc3\u70b9\u3002<\/strong><\/li><li>\u5b9e\u9645\u8bad\u7ec3\u7684\u65f6\u5019\uff0c\u6211\u4eec\u53ef\u4ee5\u76f4\u63a5\u7528\u4e0b\u9762\u7684\u516c\u5f0f\u4e00\u6b21\u6027\u7b97\u51fa\u67d0\u4e00\u6b65\u7684\u52a0\u566a\u56fe\u7247\u4f5c\u4e3a\u8bad\u7ec3\u7d20\u6750\uff0c\u65e0\u9700\u9010\u6b65\u8fed\u4ee3\u3002<\/li><\/ul>\n\n\n\n<figure class=\"wp-block-image\"><img src=\"https:\/\/pic1.zhimg.com\/80\/v2-59900c2bb478d92b97e7f283fd23201c_1440w.webp\" alt=\"\"\/><\/figure>\n\n\n\n<ul><li>\u53bb\u566a\u8fc7\u7a0b\u548c\u6269\u6563\u8fc7\u7a0b\u53cd\u8fc7\u6765\uff1a\u4ece\u4e00\u5f20\u968f\u673a\u91c7\u6837\u7684\u9ad8\u65af\u566a\u58f0\u56fe\u7247\u9010\u6b65\u53bb\u566a\u5f97\u5230\u6211\u4eec\u60f3\u8981\u751f\u6210\u7684\u56fe\u50cf\u3002\u8868\u8fbe\u5f0f\uff1a<\/li><\/ul>\n\n\n\n<figure class=\"wp-block-image\"><img src=\"https:\/\/pic1.zhimg.com\/80\/v2-5ddcc41d31ff655466eeeab0a6233ecc_1440w.webp\" alt=\"\"\/><\/figure>\n\n\n\n<ul><li>\u53bb\u566a\u8fc7\u7a0b\uff0c\u9700\u8981\u7528<strong>\u6a21\u578b\u9884\u6d4b\u52a0\u5165\u7684\u9ad8\u65af\u566a\u58f0<\/strong>\uff0c\u5f97\u5230\u539f\u59cb\u7684\u65e0\u566a\u58f0\u7684\u56fe\u50cf\u3002\u4e0a\u5f0f\u8868\u793a\uff0c\u5229\u7528\u6a21\u578b\u7b97\u51fa\u539f\u59cb\u7b2cn\u6b65\u7684\u672a\u52a0\u566a\u56fe\u50cf\uff0c\u5b9e\u8d28\u4e0a\u53ea\u8981\u7b97\u51fa\u5747\u503c\u548c\u65b9\u5dee\uff0c\u518d\u505a\u4e00\u4e2a\u91c7\u6837\u5f97\u5230\u539f\u59cb\u56fe\u50cf\u3002\u800c\u4e3a\u4e86\u7b97\u51fa\u03bc\uff0c\u6211\u4eec\u9700\u8981\u9884\u6d4b\u51fa\u566a\u58f0\u03f5\uff0c\u53cd\u63a8\u51fa\u539f\u59cb\u56fe\u50cf\u7684\u5747\u503c\u4e2d\u5fc3\uff0c\u65b9\u5dee\u9879\u53ef\u4ee5\u7531\u7f51\u7edc\u9884\u6d4b\u4e5f\u53ef\u4ee5\u53d6\u5e38\u6570\uff08\u524d\u8005\u6548\u679c\u597d\uff09\u3002\u4e0b\u8282\u5c06\u4ecb\u7ecd\u6a21\u578b\u7684\u8bad\u7ec3\u548c\u63a8\u7406\u8fc7\u7a0b\u3002<\/li><\/ul>\n\n\n\n<h3>3. \u8bad\u7ec3\u548c\u91c7\u6837(Training&amp;Sampling)<\/h3>\n\n\n\n<ul><li>\u8bad\u7ec3\u5176\u5b9e\u5c31\u662f\u6269\u6563\u8fc7\u7a0b\uff0c\u800c\u91c7\u6837\u5176\u5b9e\u5c31\u662f\u53bb\u566a\u8fc7\u7a0b\u3002<\/li><\/ul>\n\n\n\n<figure class=\"wp-block-image\"><img src=\"https:\/\/pic1.zhimg.com\/80\/v2-67e5d41763943e3534c3782d43786ec8_1440w.webp\" alt=\"\"\/><\/figure>\n\n\n\n<ul><li>\u7b97\u6cd5\u5982\u4e0a\u56fe\u6240\u793a\uff0c\u8bad\u7ec3training\u7684\u8fc7\u7a0b\u5b9e\u9645\u4e0a\u662f\u968f\u673a\u91c7\u7b2ct\u6b65\u7684\u52a0\u566a\u56fe\u50cf\uff0c<strong>\u8f93\u5165\u5e26\u566a\u56fe\u7247\u4ee5\u53ca\u6b65\u6570t\uff0c\u6a21\u578b\u9884\u6d4b\u566a\u58f0\u03f5<\/strong>\uff0c\u6a21\u578b\u8bad\u7ec3\u76ee\u6807\uff1a<strong>\u9884\u6d4b\u566a\u58f0\u4e0e\u5b9e\u9645\u52a0\u5165\u566a\u58f0\u7684\u8bef\u5dee\u8d8a\u5c0f\u8d8a\u597d\u3002<\/strong><\/li><li>\u91c7\u6837sampling\u7684\u8fc7\u7a0b\uff08\u751f\u6210\u8fc7\u7a0b\uff09\u4e3a\uff1a\u5c06\u6709\u566a\u58f0\u7684\u56fe\u50cf\uff08\u7b2c\u4e00\u5f20\u56fe\u50cf\u4e3a\u968f\u673a\u91c7\u6837\u7684\u9ad8\u65af\u5206\u5e03\u566a\u58f0\uff09\u51cf\u53bb\u6a21\u578b\u9884\u6d4b\u7684\u566a\u58f0\uff08\u566a\u58f0\u524d\u9762\u7684\u5176\u5b83\u53c2\u6570\u53ef\u4ee5\u7531\u4e0a\u9762\u52a0\u566a\u7684\u8fc7\u7a0b\u53cd\u5411\u63a8\u5bfc\u51fa\u6765\uff09\u4e0d\u65ad\u628a\u566a\u58f0\u53bb\u6389\u4ee5\u6062\u590d\u51fa\u539f\u59cb\u7684\u56fe\u50cf\u3002<\/li><\/ul>\n\n\n\n<figure class=\"wp-block-image\"><img src=\"https:\/\/pic3.zhimg.com\/80\/v2-4908f35dffde5298dbc172c6c83ff9d2_1440w.webp\" alt=\"\"\/><\/figure>\n\n\n\n<ul><li>\u65b9\u5dee\u9879\u03c3\u4e5f\u53ef\u4ee5\u7531\u6a21\u578b\u6765\u9884\u6d4b\u3002<\/li><\/ul>\n\n\n\n<blockquote class=\"wp-block-quote\"><p>\u53c2\u8003\u6587\u732e\uff1a Improved Denoising Diffusion Probabilistic Models<\/p><\/blockquote>\n\n\n\n<h2>\u5f15\u5bfc\u6269\u6563\u6a21\u578b(Guided Diffusion)<\/h2>\n\n\n\n<p>\u524d\u6587\u5df2\u7ecf\u8bb2\u8ff0\u6269\u6563\u6a21\u578b\u7684\u539f\u7406\uff0c\u7136\u800c\u6211\u4eec\u968f\u673a\u8f93\u5165\u4e00\u5f20\u9ad8\u65af\u566a\u58f0\u663e\u7136\u4e0d\u80fd\u6309\u7167\u4eba\u7684\u610f\u613f\u751f\u6210\u6211\u4eec\u60f3\u8981\u7684\u5185\u5bb9\uff0c\u56e0\u800c\u9700\u8981\u989d\u5916\u7684\u5f15\u5bfcguidance\u4ee5\u5f97\u5230\u6211\u4eec\u9700\u8981\u7684\u56fe\u50cf\u3002\u4e00\u79cd\u60f3\u6cd5\u662f\u4f7f\u7528<strong>\u5916\u90e8\u6a21\u578b<\/strong>\uff08\u5206\u7c7b\u5668or\u5e7f\u4e49\u7684\u5224\u522b\u5668\uff09\u7684\u8f93\u51fa\u4f5c\u4e3a\u5f15\u5bfc\u6761\u4ef6\u6765\u6307\u5bfc\u6269\u6563\u6a21\u578b\u7684\u53bb\u566a\u8fc7\u7a0b\uff0c\u4ece\u800c\u5f97\u5230\u6211\u4eec\u60f3\u8981\u7684\u8f93\u51fa\uff1b\u8fd8\u6709\u4e00\u79cd\u5219\u6bd4\u8f83\u76f4\u89c2\u4e00\u4e9b\uff1a\u6211\u4eec\u76f4\u63a5\u628a\u6211\u4eec\u60f3\u8981\u7684\u5f15\u5bfc\u6761\u4ef6condition\u4e5f\u4f5c\u4e3a<strong>\u6a21\u578b\u8f93\u5165<\/strong>\u7684\u4e00\u90e8\u5206\uff0c\u4ece\u800c\u8ba9\u6269\u6563\u6a21\u578b\u89c1\u5230\u8fd9\u4e2a\u6761\u4ef6\u540e\u5c31\u53ef\u4ee5\u76f4\u63a5\u751f\u6210\u6211\u4eec\u60f3\u8981\u7684\u5185\u5bb9\u3002<\/p>\n\n\n\n<p>\u4e0b\u6587\u5c06\u8bb2\u89e3classifier guidance\u548csemantic guidance diffusion model\uff08\u540e\u8005\u5305\u62ec\u524d\u8005\uff0c\u524d\u8005\u662f\u6bd4\u8f83\u7b80\u5355\u7684\u4e00\u4e2a\u5e94\u7528\uff09\uff0c\u9664\u6b64\u4e4b\u5916\uff0c\u7531\u4e8e\u989d\u5916\u7684\u5224\u522b\u5668\u4f1a\u62d6\u6162\u63a8\u7406\u901f\u5ea6\uff0c\u56e0\u6b64\u540e\u6765\u6709\u4eba\u63d0\u51fa\u4e86 classifier-free guidance diffusion model\u6765\u66ff\u4ee3\u524d\u9762\u7684\u90a3\u79cd\u65b9\u6848\uff0c\u4e5f\u5373\u628a\u6761\u4ef6\u4f5c\u4e3a\u6a21\u578b\u7684\u8f93\u5165\uff0c\u76f4\u63a5\u751f\u6210\u6211\u4eec\u9700\u8981\u7684\u56fe\u50cf\u3002<\/p>\n\n\n\n<h3>1. Classifier Guidance Diffusion Model<\/h3>\n\n\n\n<ul><li>\u8fd9\u79cd\u65b9\u6cd5\u4e0d\u7528\u989d\u5916\u8bad\u7ec3\u6269\u6563\u6a21\u578b\uff0c\u76f4\u63a5\u5728\u539f\u6709\u8bad\u7ec3\u597d\u7684\u6269\u6563\u6a21\u578b\u4e0a\uff0c\u901a\u8fc7\u5916\u90e8\u7684\u5206\u7c7b\u5668\u6765\u5f15\u5bfc\u751f\u6210\u671f\u671b\u7684\u56fe\u50cf\u3002\u552f\u4e00\u9700\u8981\u6539\u52a8\u7684\u5730\u65b9\u5176\u5b9e\u53ea\u6709sampling\u8fc7\u7a0b\u4e2d\u7684\u9ad8\u65af\u91c7\u6837\u7684\u5747\u503c\uff0c\u4e5f\u5373\u91c7\u6837\u8fc7\u7a0b\u4e2d\uff0c\u671f\u671b\u566a\u58f0\u56fe\u50cf\u7684\u91c7\u6837\u4e2d\u5fc3\u8d8a\u9760\u8fd1\u5224\u522b\u5668\u5f15\u5bfc\u7684\u6761\u4ef6\u8d8a\u597d\u3002<\/li><\/ul>\n\n\n\n<figure class=\"wp-block-image\"><img src=\"https:\/\/pic3.zhimg.com\/80\/v2-0c7540b89c1d8acc7e7b55d7f99693a6_1440w.webp\" alt=\"\"\/><\/figure>\n\n\n\n<ul><li>\u4e0a\u56fe\u603b\u7ed3\u4e86\u91c7\u6837\u7b97\u6cd5\u3002Algorithm 1\u548c Algorithm 2\u5176\u5b9e\u662f\u7b49\u4ef7\u7684\uff081\u662f\u76f4\u63a5\u9884\u6d4b\u5747\u503c\u548c\u65b9\u5dee\uff0c2\u662f\u9884\u6d4b\u566a\u58f0\u7684\u8bef\u5dee\uff09\u3002\u76f4\u63a5\u770bAlgorithm 1\u53ef\u77e5\uff0c\u5b9e\u8d28\u4e0a<strong>\u6539\u53d8\u7684\u53ea\u6709\u9ad8\u65af\u5206\u5e03\u7684\u5747\u503c\u4e2d\u5fc3<\/strong>\uff0c\u5c06\u6269\u6563\u65b9\u5411\u201c\u5f15\u5bfc\u201d\u6210\u6211\u4eec\u60f3\u8981\u7684\u5185\u5bb9\u3002\u5177\u4f53\u800c\u8a00\uff0c\u7528\u5206\u7c7b\u6a21\u578bp\u03d5\u5bf9\u751f\u6210\u7684\u56fe\u7247\u8fdb\u884c\u5206\u7c7b\uff0c\u5f97\u5230\u9884\u6d4b\u5206\u6570\u4e0e\u76ee\u6807\u7c7b\u522b\u7684\u4ea4\u53c9\u71b5\uff0c\u5c06\u5176\u5bf9\u5e26\u566a\u56fe\u50cf\u6c42\u68af\u5ea6\u7528\u68af\u5ea6\u5f15\u5bfc\u4e0b\u4e00\u6b65\u7684\u751f\u6210\u91c7\u6837\u3002\uff08\u5b9e\u9645\u4f7f\u7528\u7684\u65f6\u5019\uff0c\u9700\u8981\u628a\u8fd9\u4e2a\u5206\u7c7b\u5668\u4e5f\u5728\u5e26\u566a\u6570\u636e\u989d\u5916\u8bad\u7ec3\u4e00\u4e0b\uff09<\/li><li>\u56e0\u4e3a\u6211\u4eec\u5b9e\u9645\u4f7f\u7528\u7684\u6a21\u578b\u9884\u6d4b\u7684\u662f\u566a\u97f3\uff0c\u5b9e\u9645\u8ba1\u7b97\u4e3aAlgorithm 2\uff0c\u53ef\u4ee5\u75311\u63a8\u5bfc\u800c\u6765\u3002\uff08\u5177\u4f53\u63a8\u5bfc\u8fc7\u7a0b\u53ef\u4ee5\u53c2\u8003\u6587\u732e\uff09<\/li><\/ul>\n\n\n\n<blockquote class=\"wp-block-quote\"><p>\u53c2\u8003\u6587\u732e\uff1aDiffusion Models Beat GANs on Image Synthesis<\/p><\/blockquote>\n\n\n\n<h3>2. Semantic Guidance Diffusion<\/h3>\n\n\n\n<ul><li>\u4ecb\u7ecd\u5b8c\u524d\u9762\u7684 classifier guidance\u540e\uff0c\u663e\u7136\u6211\u4eec\u53ef\u4ee5\u628a\u5206\u7c7b\u5668\u66ff\u6362\u6210\u5176\u5b83\u4efb\u610f\u7684\u5224\u522b\u5668\uff0c\u4e5f\u5373\u66f4\u6362\u5f15\u5bfc\u6761\u4ef6\uff0c\u4ece\u800c\u5b9e\u73b0\u5229\u7528\u4e0d\u540c\u7684\u8bed\u4e49\u4fe1\u606f\u6765\u6307\u5bfc\u6269\u6563\u6a21\u578b\u7684\u53bb\u566a\u8fc7\u7a0b\u3002\u6bd4\u5982\u8bf4\uff0c\u6211\u4eec\u53ef\u4ee5\u5b9e\u73b0text-guidance\u548cimage-guidance\u7b49\u3002<\/li><li>\u5b9e\u8d28\u4e0a\u5c31\u662f\u628aclassifier guidance\u7684\u6761\u4ef6\u63a8\u5e7f\uff0c\u8868\u8fbe\u4e3a\uff1a<\/li><\/ul>\n\n\n\n<figure class=\"wp-block-image\"><img src=\"https:\/\/pic3.zhimg.com\/80\/v2-ee851f3dcae9e8d5d4757a2d79e75526_1440w.webp\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img src=\"https:\/\/pic2.zhimg.com\/80\/v2-d8e946bd31d4f8ef50733203a460bc65_1440w.webp\" alt=\"\"\/><\/figure>\n\n\n\n<ul><li>F\u03d5\u8868\u793a\u5c31\u662f\u65b0\u7684\u5f15\u5bfc\u6761\u4ef6\uff0c\u8fd9\u91cc\u5c55\u793a\u7684\u662f\u5206\u7c7b\u7684\uff0c\u5176\u5b9e\u4e5f\u53ef\u4ee5\u6362\u6210\u76f8\u4f3c\u5ea6\u4e4b\u7c7b\u7684\u5206\u6570\u6307\u6807\u3002\u5177\u4f53\u53ef\u4ee5\u6709\u4ee5\u4e0b\u7684\u4f8b\u5b50\uff1a\u56fe\u50cf\u5f15\u5bfc\u3001\u6587\u672c\u5f15\u5bfc\u3001\u56fe\u50cf+\u6587\u672c\u5f15\u5bfc\u3002<\/li><\/ul>\n\n\n\n<figure class=\"wp-block-image\"><img src=\"https:\/\/pic4.zhimg.com\/80\/v2-61b7fa8e6f730fed6b749bbdf5a1d91b_1440w.webp\" alt=\"\"\/><\/figure>\n\n\n\n<p><br>\u53c2\u8003\u6587\u732e\uff1aMore Control for Free! Image Synthesis with Semantic Diffusion Guidance<\/p>\n\n\n\n<h3>3. Classifier-Free Guidance Diffusion<\/h3>\n\n\n\n<ul><li>\u6b63\u5982\u524d\u6587\u63d0\u5230\u7684\uff0c\u989d\u5916\u5f15\u5165\u4e00\u4e2a\u7f51\u7edc\u6765\u6307\u5bfc\uff0c\u63a8\u7406\u7684\u65f6\u5019\u6bd4\u8f83\u590d\u6742\uff08\u6269\u6563\u6a21\u578b\u9700\u8981\u53cd\u590d\u8fed\u4ee3\uff0c\u6bcf\u6b21\u8fed\u4ee3\u90fd\u9700\u8981\u989d\u5916\u7b97\u4e00\u4e2a\u5206\u6570\uff09\u3002\u7136\u800c\uff0c\u76f4\u63a5\u5c06\u5f15\u5bfc\u6761\u4ef6\u4f5c\u4e3a\u6a21\u578b\u7684\u8f93\u5165\uff0c\u76f4\u5230Classifier-Free Diffusion Guidance\u88ab\u63d0\u51fa\u524d\u4f3c\u4e4e\u6548\u679c\u4e5f\u4e00\u822c\u822c\u3002Classifier-Free Diffusion Guidance\u8fd9\u7bc7\u6587\u7ae0\u7684\u8d21\u732e\u5c31\u662f\u63d0\u51fa\u4e86\u4e00\u4e2a\u7b49\u4ef7\u7684\u7ed3\u6784\u66ff\u6362\u6389\u4e86\u5916\u90e8\u7684\u5224\u522b\u5668\uff0c\u4ece\u800c\u53ef\u4ee5\u76f4\u63a5\u7528\u4e00\u4e2a\u6269\u6563\u6a21\u578b\u6765\u505a\u6761\u4ef6\u751f\u6210\u4efb\u52a1\u3002<\/li><li>\u5b9e\u9645\u505a\u6cd5\u53ea\u662f\u6539\u53d8\u4e86\u6a21\u578b\u8f93\u5165\u7684\u5185\u5bb9\uff0c<strong>\u6709conditional\uff08\u9664\u4e86\u968f\u673a\u9ad8\u65af\u566a\u58f0\u8f93\u5165\u5916\uff0c\u628a\u5f15\u5bfc\u4fe1\u606f\u7684embedding\u4e5f\u52a0\u8fdb\u6765\uff09\u548cunconditional \u7684 sample\u8f93\u5165<\/strong>\u3002\u4e24\u79cd\u8f93\u5165\u90fd\u4f1a\u88ab\u9001\u5230\u540c\u4e00\u4e2adiffusion model\u4ece\u800c\u8ba9\u5176\u80fd\u591f\u5177\u6709\u65e0\u6761\u4ef6\u548c\u6709\u6761\u4ef6\u751f\u6210\u7684\u80fd\u529b\u3002\u5f97\u5230\u8fd9\u4e24\u79cd\u8f93\u5165\u7684\u8f93\u51fa\u540e\uff0c\u5c31\u53ef\u4ee5\u7528\u6765\u5f15\u5bfc\u6269\u6563\u6a21\u578b\u8fdb\u884c\u8bad\u7ec3\u3002<\/li><li>\u56de\u5fc6\u4e00\u4e0b\u524d\u9762\u7684 classifier guidance\u7684\u566a\u97f3\u66f4\u65b0\u65b9\u5f0f\uff1a<\/li><\/ul>\n\n\n\n<figure class=\"wp-block-image\"><img src=\"https:\/\/pic1.zhimg.com\/80\/v2-b172662fbf5803ebaf96f04e542fce90_1440w.webp\" alt=\"\"\/><\/figure>\n\n\n\n<ul><li>\u5b9e\u8d28\u4e0a\uff0c\u8fd9\u4e2aclassifier-free\u7528\u53e6\u4e00\u4e2a\u8fd1\u4f3c\u7684\u7b49\u4ef7\u7ed3\u6784\u66ff\u6362\u6389\u4e86\u540e\u9762\u90a3\u4e00\u9879\uff1a<\/li><\/ul>\n\n\n\n<figure class=\"wp-block-image\"><img src=\"https:\/\/pic3.zhimg.com\/80\/v2-17ec34bd2ad6caae75e44c35b5929592_1440w.webp\" alt=\"\"\/><\/figure>\n\n\n\n<ul><li>\u5176\u4e2d\uff0c\u03f5\u03b8(xt,y)&nbsp;\u8868\u793aconditional\u7684\u8f93\u5165\uff0c\u800c\u03f5\u03b8(xt)\u5219\u8868\u793aunconditional\u8f93\u5165\uff0c\u7528\u8fd9\u4e24\u9879\u4e4b\u5dee\u4e58\u4ee5\u4e00\u4e2a\u7cfb\u6570\u6765\u66ff\u6362\u6389\u539f\u6765\u7684\u90a3\u9879\u3002\u81f3\u4e8e\u4e3a\u4ec0\u4e48\u53ef\u4ee5\u8fd9\u4e48\u76f4\u63a5\u66ff\u6362\uff0c\u5176\u5b9e\u53ef\u4ee5\u7528<strong>\u8d1d\u53f6\u65af\u516c\u5f0f<\/strong>\u63a8\u5bfc\u800c\u6765\uff1a<\/li><\/ul>\n\n\n\n<figure class=\"wp-block-image\"><img src=\"https:\/\/pic2.zhimg.com\/80\/v2-cc30bc07caeb7996e6b7e1911b9c861d_1440w.webp\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img src=\"https:\/\/pic1.zhimg.com\/80\/v2-60b67d42d550e2edf4c999cde7db1428_1440w.webp\" alt=\"\"\/><\/figure>\n\n\n\n<ul><li>\u56e0\u800c\uff0c\u5b9e\u9645\u4e0a\u8fd9\u4e2a\u8fc7\u7a0b\u5c31\u8bad\u7ec3\u4e86\u4e00\u4e2a&nbsp;<strong>implicit classifier<\/strong>\uff0c\u4ece\u800c\u79fb\u9664\u5916\u90e8\u7684\u5206\u7c7b\u5668\u3002<\/li><\/ul>\n\n\n\n<blockquote class=\"wp-block-quote\"><p>\u53c2\u8003\u6587\u732e\uff1aClassifier-Free Diffusion Guidance<\/p><\/blockquote>\n\n\n\n<h2>GLIDE<\/h2>\n\n\n\n<ul><li>\u8fd9\u7bc7\u6587\u7ae0\u4e3b\u8981\u5c31\u662f\u7528\u5230\u4e86\u524d\u9762\u6240\u8bf4\u7684classifier-free\u6269\u6563\u6a21\u578b\uff0c\u53ea\u4e0d\u8fc7\u628a\u8f93\u5165\u7684condition\u6362\u6210\u4e86\u6587\u672c\u4fe1\u606f\uff0c\u4ece\u800c\u5b9e\u73b0\u6587\u672c\u751f\u6210\u56fe\u50cf\uff0c\u6b64\u5916\u8fd8\u5229\u7528diffusion model\u5b9e\u73b0\u4e86\u8d85\u5206\u8fa8\u7387\u3002\u4e00\u4e9b\u6548\u679c\u5c55\u793a\u5982\u4e0b\uff0c\u53ef\u4ee5\u770b\u5230\uff0c\u5176\u5b9e\u5df2\u7ecf\u53ef\u4ee5\u751f\u6210\u4e00\u4e9b\u6bd4\u8f83\u903c\u771f\u7684\u56fe\u7247\u4e86\u3002<\/li><\/ul>\n\n\n\n<figure class=\"wp-block-image\"><img src=\"https:\/\/pic4.zhimg.com\/80\/v2-1ddde8ca9084539dcd6141fbe97fdfbb_1440w.webp\" alt=\"\"\/><\/figure>\n\n\n\n<ul><li>\u5177\u4f53\u53ef\u4ee5\u8868\u8fbe\u4e3a\uff1a<\/li><\/ul>\n\n\n\n<figure class=\"wp-block-image\"><img src=\"https:\/\/pic3.zhimg.com\/80\/v2-c736afcbe6b77cc0eb79443023b4fee6_1440w.webp\" alt=\"\"\/><\/figure>\n\n\n\n<ul><li>\u8fd9\u91cc\u65e0\u975e\u5c31\u662f\u628a\u539f\u6765\u7684label&nbsp;y\u6362\u6210\u4e86 caption\uff0c<strong>\u5b9e\u9645\u4e0a\u5c31\u662f\u8fd0\u7528\u4e86\u8db3\u591f\u91cf\u7684image-text pair<\/strong>\u4ece\u800c\u53ef\u4ee5\u628acaption\u5f53\u4f5c\u662f\u67d0\u79cd\u7a0b\u5ea6\u4e0a\u7684label\u3002\uff08\u968f\u673a\u66ff\u6362\u4e3a\u7a7a\u5e8f\u5217\u4ee5\u5b9e\u73b0unconditional\u7684\u8bad\u7ec3\u65b9\u5f0f\uff09<\/li><\/ul>\n\n\n\n<figure class=\"wp-block-image\"><img src=\"https:\/\/pic4.zhimg.com\/v2-78ba27465f8ed85a5c7b06d05b8b3c3b_b.jpg\" alt=\"\u52a8\u56fe\u5c01\u9762\"\/><\/figure>\n\n\n\n<ul><li>\u7531\u4e8e\u6b64\u65f6\u7684\u751f\u6210\u56fe\u50cf\u8d28\u91cf\u4e00\u822c\u822c\uff0c\u6587\u7ae0\u4e5f\u63d0\u4f9b\u4e86\u56fe\u50cf\u7f16\u8f91\u7684\u65b9\u5f0f\uff08\u5177\u4f53\u64cd\u4f5c\u4e3a\uff1a\u5c06\u9009\u4e2d\u533a\u57dfmask\u6389\uff0c\u5c06\u56fe\u50cf\u4e5f\u4f5c\u4e3a\u4e00\u4e2acondition\u8fde\u540c\u6587\u672c\u8f93\u5165\u5230\u6a21\u578b\u4e2d\u53bb\uff09\uff1a<\/li><\/ul>\n\n\n\n<figure class=\"wp-block-image\"><img src=\"https:\/\/pic3.zhimg.com\/80\/v2-ab1ff90acca3ad995ce1f56348418a7e_1440w.webp\" alt=\"\"\/><\/figure>\n\n\n\n<h2>DALL\u00b7E 2<\/h2>\n\n\n\n<h3>\u6982\u51b5<\/h3>\n\n\n\n<ul><li>\u7b2c\u4e00\u7248DALL\u00b7E\u7528\u7684\u662fGAN+CLIP\u91cd\u6392\u5e8f\u7684\u7ed3\u6784\u3002<\/li><li>DALL\u00b7E 2\u53ef\u4ee5\u628adiffusion model\u548cCLIP\u7ed3\u5408\u5728\u4e00\u8d77\uff0c\u751f\u6210\u6548\u679c\u5341\u5206\u60ca\u8273\uff0c\u53ef\u4ee5\u76f4\u63a5\u53bb\u5b98\u7f51\u6d4f\u89c8\u4e00\u4e0b\u3002<a href=\"https:\/\/openai.com\/dall-e-2\/\" target=\"_blank\" rel=\"noreferrer noopener\">DALL\u00b7E 2 (openai.com)<\/a><\/li><\/ul>\n\n\n\n<figure class=\"wp-block-image\"><img src=\"https:\/\/pic4.zhimg.com\/80\/v2-c344b64e750cf8f56c75df113c25e33b_1440w.webp\" alt=\"\"\/><\/figure>\n\n\n\n<ul><li>\u5305\u62ec<strong>prior<\/strong>\u7f51\u7edc\u7528\u4e8e\u5c06caption\u8f6c\u6362\u4e3aCLIP image embedding\uff0c\u4e00\u4e2a<strong>decoder<\/strong>\u628aimage embedding\u4f5c\u4e3acondition\u6765\u751f\u6210\u56fe\u50cf\u3002prior\u6709\u4e24\u79cd\uff1a\u4e00\u79cd\u662fautoregressive model\u3001\u4e00\u79cd\u662fdiffusion model\uff08\u540e\u8005\u6548\u679c\u66f4\u597d\u4e00\u4e9b\uff09\uff1bdecoder\u5c31\u662fdiffusion model\u3002\u603b\u4e4b\uff0c\u8fd9\u91cc\u76f8\u6bd4\u524d\u9762\u7684\u53d8\u5316\u4e3b\u8981\u5728\u4e8e<strong>\u52a0\u5165\u4e86prior<\/strong>\uff0c\u4ee5\u53ca\u628acondition\u6362\u6210\u4e86CLIP\u7684embedding\u3002<\/li><\/ul>\n\n\n\n<figure class=\"wp-block-image\"><img src=\"https:\/\/pic1.zhimg.com\/80\/v2-c09fefaf2675575554826dca81a08cc8_1440w.webp\" alt=\"\"\/><\/figure>\n\n\n\n<h3>Decoder<\/h3>\n\n\n\n<ul><li>\u5177\u4f53\u800c\u8a00\uff0c\u628aCLIP image embedding\u4f5c\u4e3acondition\u8f93\u5165\u5230diffusion model\u4e2d\uff0c\u540c\u65f6\u628aCLIP image embedding\u6620\u5c04\u62104\u4e2a\u989d\u5916\u7684tokens\u63a5\u5230GLIDE text encoder\u7684\u8f93\u51fa\u3002<\/li><li>\u9664\u4e86\u7528\u4e8e\u751f\u6210\u56fe\u50cf\u7684diffusion model\uff0c\u8fd9\u90e8\u5206\u8fd8\u67092\u4e2a\u989d\u5916\u7528\u4e8e\u8d85\u5206\u8fa8\u7387\u7684diffusion model\uff0c\u751f\u6210\u9ad8\u6e05\u56fe\u50cf\u3002<\/li><\/ul>\n\n\n\n<h3>Prior<\/h3>\n\n\n\n<p>\u8fd9\u90e8\u5206\u7684\u5185\u5bb9\u662f\u4e3a\u4e86\u5c06caption&nbsp;y\u8f6c\u6362\u4e3a CLIP image embedding\uff0c\u4ee5\u7528\u4e8e\u540e\u9762decoder\u7684\u56fe\u50cf\u751f\u6210\u3002<\/p>\n\n\n\n<ul><li>\u4e00\u79cd\u662fauto-regressive model\uff0c\u5c06image embedding\u8f6c\u6362\u4e3a\u4e00\u4e32\u79bb\u6563\u7684\u7f16\u7801\uff0c\u5e76\u4e14\u57fa\u4e8econdition caption&nbsp;y\u81ea\u56de\u5f52\u5730\u9884\u6d4b\u3002\uff08\u8fd9\u91cc\u4e0d\u4e00\u5b9a\u8981condition on caption(GLIDE\u7684\u65b9\u6cd5\u2014\u2014\u989d\u5916\u7528\u4e00\u4e2aTransformer\u5904\u7406caption)\uff0c\u4e5f\u53ef\u4ee5condition on CLIP text embedding\uff09\u3002\u6b64\u5916\uff0c\u8fd9\u91cc\u8fd8\u7528\u5230\u4e86PCA\u6765\u964d\u7ef4\uff0c\u964d\u4f4e\u8fd0\u7b97\u590d\u6742\u5ea6\u3002<\/li><li>\u4e00\u79cd\u662fdiffusion model\u3002\u8fd9\u662f\u4e00\u4e2a<strong>decoder-only Transformer<\/strong>\uff0c\u8f93\u5165\u662fencoded text+CLIP text embedding+noised CLIP image embedding+\u989d\u5916token\uff08\u7c7b\u4f3cclass embedding\uff09\u8f93\u5165\uff0c\u5176\u8f93\u51fa\u4e00\u4e2aunnoised CLIP image embedding\uff08\u53d6\u90a3\u4e2a\u989d\u5916\u7684embedding\uff09\u3002<\/li><\/ul>\n\n\n\n<h3>Variations<\/h3>\n\n\n\n<ul><li>\u8fd9\u90e8\u5206\u662f\u4e3a\u4e86\u7ed9\u4e00\u5f20\u56fe\uff0c\u751f\u6210\u76f8\u4f3c\u7684\u56fe\u50cf\u3002\u505a\u6cd5\u5f88\u7b80\u5355\uff1a\u7528CLIP\u628a\u56fe\u50cf\u7f16\u7801\uff0c\u628a\u8fd9\u4e2aCLIP image embedding\u4f5c\u4e3acondition\u5f15\u5bfcdecoder\u751f\u6210\u56fe\u50cf\u3002\u9664\u6b64\u4e4b\u5916\uff0c\u8fd8\u53ef\u4ee5<strong>\u5bf92\u5f20\u56fe\u50cf\u7684CLIP embedding\u8fdb\u884c\u63d2\u503c\uff0c\u4ee5\u5b9e\u73b0\u98ce\u683c\u8fc1\u79fb<\/strong>\u3002\uff08 spherical interpolation \u51e0\u4f55\u7403\u9762\u7ebf\u6027\u63d2\u503c\uff09\u3002<strong>\u8fd9\u91cc\u8bc1\u660e\u4e86CLIP\u8bed\u4e49\u7a7a\u95f4\u7684\u53ef\u89e3\u91ca\u6027<\/strong><\/li><\/ul>\n\n\n\n<figure class=\"wp-block-image\"><img src=\"https:\/\/pic2.zhimg.com\/80\/v2-78f816baf930babab1a0687464b0741d_1440w.webp\" alt=\"\"\/><\/figure>\n\n\n\n<h3>\u91cf\u5316\u7ed3\u679c<\/h3>\n\n\n\n<figure class=\"wp-block-image\"><img src=\"https:\/\/pic2.zhimg.com\/80\/v2-d998c2134bdc2c9d8334a6bac36c04d9_1440w.webp\" alt=\"\"\/><\/figure>\n\n\n\n<ul><li>\u672c\u6587\u65b9\u6cd5\u53c8\u79f0unCLIP\uff08\u5176\u5b9e\u672c\u8d28\u4e0a\u5c31\u662f\u628aCLIP\u751f\u6210\u7684embedding\u8fdb\u884cdecode\uff09\uff0c\u76f8\u6bd4GLIDE\u6709\u5c0f\u5e45\u7684\u63d0\u9ad8\u3002<\/li><\/ul>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<h2>Paper List<\/h2>\n\n\n\n<ol><li>(DDPM) Denoising Diffusion Probabilistic Models. NIPS 20. (Diffusion and deep-learning-based \u56fe\u50cf\u751f\u6210\u5f00\u5c71\u4e4b\u4f5c)<\/li><li>More Control for Free! Image Synthesis with Semantic Diffusion Guidance. arXiv 21. (\u5bf9DDIM\u8fdb\u884c\u4e86\u63a8\u5e7f\uff0c\u5f15\u5165\u4e86\u4e00\u822c\u5f62\u5f0f\u7684\u5224\u522b\u5668\u5f15\u5bfc)<\/li><li>Denoising Diffusion Implicit Models. ICLR 21. (\u63d0\u51fa\u4e86\u4e00\u79cd\u65b0\u7684sampling\u7684\u65b9\u6cd5\uff0c\u53ef\u4ee5\u901a\u8fc7\u6539\u53d8eta\u6765skip\u4e00\u4e9bstep\uff0c\u8fdb\u800c\u8fbe\u5230\u52a0\u901fsampling\u7684\u76ee\u7684)<\/li><li>Improved denoising diffusion probabilistic models. ICML 21.<\/li><li>Classifier-Free Diffusion Guidance. NIPSW 21. \uff08\u5f15\u5165\u4e86\u7b49\u4ef7\u7ed3\u6784\u66ff\u4ee3\u4e86\u5206\u7c7b\u5668\u5f15\u5bfc\uff09<\/li><li>GLIDE: Towards Photorealistic Image Generation and Editing with Text-Guided Diffusion Models. ICML 22.<\/li><li>Hierarchical Text-Conditional Image Generation with CLIP Latents. NIPS 22 \u5728\u6295. (DALL-E 2)<\/li><li>Photorealistic Text-to-Image Diffusion Models with Deep Language Understanding. NIPS 22 \u5728\u6295. (Imagen, SOTA)<\/li><li>High-Resolution Image Synthesis with Latent Diffusion Models. CVPR 22. (\u9690\u7a7a\u95f4LDM)<\/li><\/ol>\n","protected":false},"excerpt":{"rendered":"<p>Diffusion Models: A Comprehensive Survey of Methods and &hellip; <a href=\"http:\/\/139.9.1.231\/index.php\/2022\/09\/17\/diffusion-model-survey\/\" class=\"more-link\">\u7ee7\u7eed\u9605\u8bfb<span class=\"screen-reader-text\">Diffusion Model \u7efc\u8ff0<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[29],"tags":[],"_links":{"self":[{"href":"http:\/\/139.9.1.231\/index.php\/wp-json\/wp\/v2\/posts\/7818"}],"collection":[{"href":"http:\/\/139.9.1.231\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/139.9.1.231\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/139.9.1.231\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/139.9.1.231\/index.php\/wp-json\/wp\/v2\/comments?post=7818"}],"version-history":[{"count":33,"href":"http:\/\/139.9.1.231\/index.php\/wp-json\/wp\/v2\/posts\/7818\/revisions"}],"predecessor-version":[{"id":9994,"href":"http:\/\/139.9.1.231\/index.php\/wp-json\/wp\/v2\/posts\/7818\/revisions\/9994"}],"wp:attachment":[{"href":"http:\/\/139.9.1.231\/index.php\/wp-json\/wp\/v2\/media?parent=7818"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/139.9.1.231\/index.php\/wp-json\/wp\/v2\/categories?post=7818"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/139.9.1.231\/index.php\/wp-json\/wp\/v2\/tags?post=7818"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}