{"id":36,"date":"2024-11-08T19:05:05","date_gmt":"2024-11-08T11:05:05","guid":{"rendered":"https:\/\/www.sodalee.cn\/?p=36"},"modified":"2024-11-08T19:05:06","modified_gmt":"2024-11-08T11:05:06","slug":"%e3%80%90%e8%bd%ac%e8%bd%bd%e3%80%91neurips-2024-%e6%b5%99%e5%a4%a7-%e5%be%ae%e4%bf%a1-%e6%b8%85%e5%8d%8e%e6%8f%90%e5%87%ba%ef%bc%9a%e5%bd%bb%e5%ba%95%e8%a7%a3%e5%86%b3%e6%89%a9%e6%95%a3%e6%a8%a1","status":"publish","type":"post","link":"https:\/\/sodalee.top\/?p=36","title":{"rendered":"\u3010\u8f6c\u8f7d\u3011NeurIPS 2024 | \u6d59\u5927\/\u5fae\u4fe1\/\u6e05\u534e\u63d0\u51fa\uff1a\u5f7b\u5e95\u89e3\u51b3\u6269\u6563\u6a21\u578b\u53cd\u6f14\u95ee\u9898"},"content":{"rendered":"\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<p><strong>\u672c\u7bc7\u8bba\u6587\u5df2\u7ecf\u88abNeurIPS 2024\u63a5\u6536\u3002\u7b2c\u4e00\u4f5c\u8005\u738b\u65b9\u61ff\u5eb7\u662f\u5fae\u4fe1\u89c6\u89c9\u56e2\u961f\u5b9e\u4e60\u751f\uff0c\u540c\u65f6\u4e5f\u662f\u6d59\u6c5f\u5927\u5b66\u4e00\u5e74\u7ea7\u7855\u58eb\u7814\u7a76\u751f\u3002\u5171\u540c\u4e00\u4f5c\u662f\u5fae\u4fe1\u9ad8\u7ea7\u7814\u7a76\u5458Hubery\u3002\u901a\u8baf\u4f5c\u8005\u662f\u6d59\u6c5f\u5927\u5b66\u52a9\u7406\u6559\u6388\u5f20\u8d85\u3002\u5176\u4ed6\u4f5c\u8005\u5305\u62ec\u6765\u81ea\u6e05\u534e\u5927\u5b66\u7684\u8463\u73a5\u6c5f\uff0c\u6765\u81ea\u6d59\u6c5f\u5927\u5b66\u7684\u6731\u80e1\u65fb\u660a\uff0c\u8d75\u6db5\u658c\u52a9\u7406\u6559\u6388\u548c\u94b1\u5fbd\u6559\u6388\uff0c\u4ee5\u53ca\u5fae\u4fe1\u57fa\u7840\u89c6\u89c9\u548c\u89c6\u89c9\u751f\u6210\u6280\u672f\u8d1f\u8d23\u4eba\u674e\u741b\u3002<\/strong>\u968f\u7740\u6269\u6563\u751f\u6210\u6a21\u578b\u7684\u53d1\u5c55\uff0c\u4eba\u5de5\u667a\u80fd\u6b65\u5165\u4e86\u5c5e\u4e8e AIGC \u7684\u65b0\u7eaa\u5143\u3002\u6269\u6563\u751f\u6210\u6a21\u578b\u53ef\u4ee5\u5bf9\u521d\u59cb\u9ad8\u65af\u566a\u58f0\u8fdb\u884c\u9010\u6b65\u53bb\u566a\u800c\u5f97\u5230\u9ad8\u8d28\u91cf\u7684\u91c7\u6837\u3002\u5f53\u524d\uff0c\u8bb8\u591a\u5e94\u7528\u90fd\u6d89\u53ca\u6269\u6563\u6a21\u578b\u7684\u53cd\u6f14\uff0c\u5373\u627e\u5230\u4e00\u4e2a\u751f\u6210\u6837\u672c\u5bf9\u5e94\u7684\u521d\u59cb\u566a\u58f0\u3002\u5f53\u524d\u7684\u91c7\u6837\u5668\u4e0d\u80fd\u517c\u987e\u53cd\u6f14\u7684\u51c6\u786e\u6027\u548c\u91c7\u6837\u7684\u8d28\u91cf\u3002\u4e3a\u5f7b\u5e95\u89e3\u51b3\u8fd9\u4e00\u95ee\u9898\uff0c\u5fae\u4fe1\u89c6\u89c9\u56e2\u961f\u4e0e\u6d59\u6c5f\u5927\u5b66\u548c\u6e05\u534e\u5927\u5b66\u8054\u624b\u63d0\u51fa\u4e86\u57fa\u4e8e\u53cc\u5411\u663e\u5f0f\u7ebf\u6027\u591a\u6b65\u6cd5\u7684\u6269\u6563\u6a21\u578b\u7cbe\u786e\u53cd\u6f14\u91c7\u6837\u5668\uff08BELM\uff09\u8fd9\u4e00\u901a\u7528\u7b97\u6cd5\uff0c\u5e76\u901a\u8fc7\u622a\u65ad\u8bef\u5dee\u5206\u6790\u786e\u5b9a\u4e86\u6700\u4f18\u7684 BELM \u91c7\u6837\u5668\u7cfb\u6570\u3002\u6b64\u65b9\u6cd5\u5728\u786e\u4fdd\u7cbe\u786e\u53cd\u6f14\u7684\u540c\u65f6\u8fd8\u63d0\u5347\u4e86\u751f\u6210\u6837\u672c\u7684\u8d28\u91cf\uff0c\u5728\u56fe\u50cf\u4e0e\u89c6\u9891\u7684\u7f16\u8f91\u3001\u63d2\u503c\u7b49\u4e0b\u6e38\u4efb\u52a1\u4e2d\u6709\u5e7f\u6cdb\u7684\u5e94\u7528\u524d\u666f\u3002\u8fd9\u4e00\u7814\u7a76\u6210\u679c\u5df2\u88ab NeurIPS 2024 \u4f1a\u8bae\u63a5\u6536\u3002\u5f53\u524d\uff0c\u6269\u6563\u6a21\u578b\u5728\u56fe\u50cf\u751f\u6210\u3001\u6587\u5b57\u751f\u6210\u3001\u97f3\u9891\u751f\u6210\u7b49\u591a\u4e2a\u9886\u57df\u5f97\u5230\u4e86\u5e7f\u6cdb\u5e94\u7528\uff0c\u8868\u73b0\u51fa\u4e86\u5353\u8d8a\u7684\u6027\u80fd\u3002\u6269\u6563\u6a21\u578b\u7684\u53cd\u6f14\u64cd\u4f5c\uff0c\u5373\u627e\u5230\u4e00\u4e2a\u751f\u6210\u6837\u672c\u5bf9\u5e94\u7684\u521d\u59cb\u566a\u58f0\uff0c\u5bf9\u82e5\u5e72\u4e0b\u6e38\u4efb\u52a1\u8d77\u5230\u5173\u952e\u7684\u4f5c\u7528\u3002\u4f20\u7edf\u7684 DDIM \u53cd\u6f14\u4f1a\u9020\u6210\u4e25\u91cd\u7684\u4e0d\u4e00\u81f4\u95ee\u9898\uff0c\u5373\u539f\u59cb\u56fe\u7247\u52a0\u566a\u518d\u53bb\u566a\u7684\u7ed3\u679c\u4e0e\u539f\u56fe\u76f8\u5dee\u751a\u8fdc\u3002\u8fd1\u671f\uff0c\u7814\u7a76\u8005\u4eec\u63d0\u51fa\u4e86\u591a\u79cd\u542f\u53d1\u5f0f\u7684\u7cbe\u786e\u53cd\u6f14\u91c7\u6837\u5668\u6765\u89e3\u51b3 DDIM \u53cd\u6f14\u7684\u4e0d\u4e00\u81f4\u95ee\u9898\u3002\u7136\u800c\uff0c\u8fd9\u4e9b\u542f\u53d1\u5f0f\u7684\u7cbe\u786e\u53cd\u6f14\u91c7\u6837\u5668\u7684\u7406\u8bba\u7279\u6027\u5c1a\u4e0d\u660e\u786e\uff0c\u4e14\u91c7\u6837\u8d28\u91cf\u5e38\u5e38\u4e0d\u5c3d\u5982\u4eba\u610f\uff0c\u8fd9\u5728\u4e00\u5b9a\u7a0b\u5ea6\u4e0a\u9650\u5236\u4e86\u5b83\u4eec\u7684\u5e94\u7528\u3002\u4e3a\u6b64\uff0c\u672c\u7814\u7a76\u5f15\u5165\u4e86\u4e00\u79cd\u901a\u7528\u7684\u7cbe\u786e\u53cd\u6f14\u91c7\u6837\u5668\u8303\u5f0f \u2014\u2014 \u53cc\u5411\u663e\u5f0f\u7ebf\u6027\u591a\u6b65\uff08BELM\uff09\u91c7\u6837\u5668\uff0c\u8be5\u8303\u5f0f\u5305\u542b\u4e86\u4e0a\u6587\u63d0\u5230\u7684\u542f\u53d1\u5f0f\u7cbe\u786e\u53cd\u6f14\u91c7\u6837\u5668\u3002\u8be5\u56e2\u961f\u5728 BELM \u8303\u5f0f\u5185\u7cfb\u7edf\u5730\u7814\u7a76\u4e86\u5c40\u90e8\u622a\u65ad\u8bef\u5dee\uff08LTE\uff09\uff0c\u53d1\u73b0\u73b0\u6709\u7684\u7cbe\u786e\u53cd\u6f14\u91c7\u6837\u5668\u7684 LTE \u5e76\u975e\u6700\u4f18\u3002\u56e0\u6b64\uff0c\u7814\u7a76\u56e2\u961f\u901a\u8fc7 LTE \u6700\u5c0f\u5316\u65b9\u6cd5\u63d0\u51fa\u4e86\u6700\u4f18\u7684 BELM\uff08Optimal-BELM\uff0cO-BELM\uff09\u91c7\u6837\u5668\u3002\u5b9e\u9a8c\u8868\u660e\uff0cO-BELM \u91c7\u6837\u5668\u5728\u5b9e\u73b0\u7cbe\u786e\u53cd\u6f14\u7684\u540c\u65f6\uff0c\u4e5f\u63d0\u5347\u4e86\u91c7\u6837\u7684\u8d28\u91cf\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"446\" src=\"https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063609-image-1024x446.png\" alt=\"\" class=\"wp-image-37\" srcset=\"https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063609-image-1024x446.png 1024w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063609-image-300x131.png 300w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063609-image-768x334.png 768w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063609-image.png 1080w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u8bba\u6587\u9898\u76ee\uff1aBELM: Bidirectional Explicit Linear Multi-step Sampler for Exact Inversion in Diffusion Models<\/li>\n\n\n\n<li>\u8bba\u6587\u94fe\u63a5\uff1ahttps:\/\/arxiv.org\/abs\/2410.07273<\/li>\n\n\n\n<li>\u9879\u76ee\u5730\u5740\uff1ahttps:\/\/github.com\/zituitui\/BELM<\/li>\n<\/ul>\n\n\n\n<p><strong>\u80cc\u666f\uff1aDDIM \u53cd\u6f14\u9020\u6210\u7684\u4e0d\u4e00\u81f4\u95ee\u9898<\/strong>\u7531\u4e8e DDIM \u7684\u6b63\u5411\u8fc7\u7a0b\u548c\u53cd\u6f14\u8fc7\u7a0b\u4f7f\u7528\u7684\u8fed\u4ee3\u5f0f\u5e76\u4e0d\u76f8\u540c\uff0c\u6240\u4ee5 DDIM \u7684\u53cd\u6f14\u91cd\u6784\u6837\u672c\u4e0e\u521d\u59cb\u7684\u6837\u672c\u5b58\u5728\u8f83\u5927\u5dee\u522b\u3002\u5b9e\u9645\u4f7f\u7528\u4e2d\uff0cDDIM \u7684\u53cd\u6f14\u6709\u663e\u8457\u7684\u4e0d\u4e00\u81f4\u95ee\u9898\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"263\" src=\"https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063628-image-1024x263.png\" alt=\"\" class=\"wp-image-38\" srcset=\"https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063628-image-1024x263.png 1024w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063628-image-300x77.png 300w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063628-image-768x197.png 768w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063628-image.png 1080w\" 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=\"548\" src=\"https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063634-image-1024x548.png\" alt=\"\" class=\"wp-image-39\" srcset=\"https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063634-image-1024x548.png 1024w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063634-image-300x161.png 300w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063634-image-768x411.png 768w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063634-image.png 1080w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p><strong>\u73b0\u6709\u7cbe\u786e\u53cd\u6f14\u65b9\u6cd5Null-text-inversion<\/strong>\u4ee5 Null-tex-inversion \u4e3a\u4ee3\u8868\u7684\u65b9\u6cd5\u5bf9 unconditional \u5360\u4f4d\u7b26\u8fdb\u884c fine-tune\uff0c\u4ee5\u8fbe\u5230\u7cbe\u786e\u53cd\u6f14\u3002\u95ee\u9898\uff1a\u8fd9\u7c7b\u65b9\u6cd5\u5c40\u9650\u4e8e text-classifier-free-guidance \u573a\u666f\u4e0b\u7684\u6269\u6563\u6a21\u578b\uff1b\u9700\u8981\u989d\u5916\u8bad\u7ec3\uff0c\u4f4e\u6548\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"642\" src=\"https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063655-image-1024x642.png\" alt=\"\" class=\"wp-image-40\" srcset=\"https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063655-image-1024x642.png 1024w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063655-image-300x188.png 300w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063655-image-768x481.png 768w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063655-image.png 1080w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p><strong>EDICT<\/strong>EDICT \u662f\u57fa\u4e8e DDIM \u7684\u542f\u53d1\u5f0f\u7b97\u6cd5\uff0c\u501f\u9274\u4e86\u53ef\u9006\u7f51\u7edc\u7684\u505a\u6cd5\uff0c\u6709\u4e24\u4e2a\u76f8\u4e92\u7cc5\u5408\u7684\u91c7\u6837\u94fe\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"393\" src=\"https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063662-image-1024x393.png\" alt=\"\" class=\"wp-image-41\" srcset=\"https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063662-image-1024x393.png 1024w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063662-image-300x115.png 300w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063662-image-768x295.png 768w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063662-image.png 1080w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u5176\u9006\u8fc7\u7a0b\u5982\u4e0b\uff0c\u7cbe\u786e\u53ef\u9006\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"419\" src=\"https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063667-image-1024x419.png\" alt=\"\" class=\"wp-image-42\" srcset=\"https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063667-image-1024x419.png 1024w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063667-image-300x123.png 300w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063667-image-768x314.png 768w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063667-image.png 1080w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u95ee\u9898\uff1a\u9700\u8981\u4e24\u500d\u8ba1\u7b97\u91cf\uff1b\u8d85\u53c2\u6570 p \u4e0d\u9c81\u68d2\uff0c\u5bfc\u81f4\u91c7\u6837\u8d28\u91cf\u4e0d\u53ef\u63a7\u3002<strong>BDIA<\/strong>BDIA \u6539\u8fdb\u4e86 EDICT\uff0c\u4f7f\u7528 x_i \u7684\u901f\u5ea6\uff0cx_i \u548c x_{i+1} \u7684\u4f4d\u7f6e\uff0c\u901a\u8fc7\u4e0b\u8ff0\u516c\u5f0f\u5b9e\u73b0\u7cbe\u786e\u53ef\u9006\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"102\" src=\"https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063673-image-1024x102.png\" alt=\"\" class=\"wp-image-43\" srcset=\"https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063673-image-1024x102.png 1024w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063673-image-300x30.png 300w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063673-image-768x77.png 768w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063673-image.png 1080w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u95ee\u9898\uff1a\u8d85\u53c2\u6570 gamma \u4e0d\u9c81\u68d2\uff0c\u5bfc\u81f4\u91c7\u6837\u8d28\u91cf\u4e0d\u4f73\u3002<strong>EDICT \u548c BDIA \u53c2\u6570\u7684\u4e0d\u9c81\u68d2\uff1a<\/strong>EDICT \u548c BDIA \u8d85\u53c2\u6570\u7684\u610f\u4e49\u4e0d\u660e\uff0c\u6ca1\u6709\u7406\u8bba\u6307\u5bfc\u5982\u4f55\u8c03\u6574\uff0c\u5bfc\u81f4\u4e0d\u540c\u60c5\u5f62\u4e0b\u8d85\u53c2\u6570\u7684\u9009\u62e9\u5dee\u522b\u5de8\u5927\u3002\u4f7f\u7528\u8d77\u6765\u6781\u4e3a\u4e0d\u4fbf\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"420\" src=\"https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063683-image-1024x420.png\" alt=\"\" class=\"wp-image-44\" srcset=\"https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063683-image-1024x420.png 1024w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063683-image-300x123.png 300w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063683-image-768x315.png 768w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063683-image.png 1080w\" 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=\"394\" src=\"https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063687-image-1024x394.png\" alt=\"\" class=\"wp-image-45\" srcset=\"https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063687-image-1024x394.png 1024w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063687-image-300x116.png 300w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063687-image-768x296.png 768w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063687-image.png 1080w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p><strong>\u53cc\u5411\u663e\u5f0f\u7ebf\u6027\u591a\u6b65\u6cd5\uff08BELM\uff09\u6846\u67b6<\/strong>\u601d\u8def\u8d77\u6e90\uff1aDDIM \u7684\u6b63\u5411\u8fc7\u7a0b\uff08\u7531\u84dd\u7ebf\u8868\u793a\uff09\u4e0e\u53cd\u6f14\u8fc7\u7a0b\uff08\u7531\u7ea2\u7ebf\u8868\u793a\uff09\u662f\u4e24\u79cd\u4e0d\u540c\u7684\u5173\u7cfb\uff0c\u8fd9\u5bfc\u81f4\u4e86 DDIM \u7684\u53cd\u6f14\u4e0d\u51c6\u786e\u3002\u5982\u679c\u5f3a\u5236\u6b63\u8fc7\u7a0b\u4e0e\u53cd\u8fc7\u7a0b\u4f7f\u7528\u76f8\u540c\u5173\u7cfb\uff0c\u53c8\u4f1a\u5f15\u5165\u9690\u5f0f\u65b9\u6cd5\uff0c\u5927\u5927\u589e\u52a0\u8ba1\u7b97\u590d\u6742\u5ea6\u3002\u5982\u679c\u591a\u5f15\u5165\u4e00\u4e2a\u70b9\uff0c\u4e0d\u7528\u9690\u5f0f\u65b9\u6cd5\u4e5f\u53ef\u9006\uff08\u7531\u7eff\u7ebf\u8868\u793a\uff09\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"282\" src=\"https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063695-image-1024x282.png\" alt=\"\" class=\"wp-image-46\" srcset=\"https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063695-image-1024x282.png 1024w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063695-image-300x83.png 300w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063695-image-768x211.png 768w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063695-image.png 1080w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u8be5\u8bba\u6587\u4e2d\u7684\u7b97\u6cd5\uff0c\u6b63\u5411\u548c\u53cd\u6f14\u8fc7\u7a0b\u90fd\u670d\u4ece\u76f8\u540c\u7684\u5173\u7cfb\uff0c\u56e0\u6b64\u80fd\u591f\u7cbe\u786e\u53cd\u6f14\u3002\u5177\u4f53\u6765\u8bf4\uff0c\u4e3a\u4e86\u7cfb\u7edf\u5730\u8bbe\u8ba1\u8fd9\u79cd\u91c7\u6837\u5668\uff0c\u9996\u5148\u8981\u5c06\u6269\u6563\u6a21\u578b\u7684\u91c7\u6837\u8fc7\u7a0b\u5efa\u6a21\u4e3a\u4e00\u4e2a IVP\uff08Initial Value Problem\uff0c\u521d\u503c\u95ee\u9898\uff09\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"279\" src=\"https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063700-image-1024x279.png\" alt=\"\" class=\"wp-image-47\" srcset=\"https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063700-image-1024x279.png 1024w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063700-image-300x82.png 300w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063700-image-768x209.png 768w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063700-image.png 1080w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u4ee5\u4e0b\u662f IVP \u7684\u4e00\u822c\u5f62\u5f0f\uff0c\u8fd9\u5b9e\u9645\u4e0a\u662f\u4e00\u4e2a\u53d8\u6b65\u957f\u53d8\u516c\u5f0f\u7ebf\u6027\u591a\u6b65\u65b9\u6cd5\uff08VSVFM\uff09\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"137\" src=\"https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063712-image-1024x137.png\" alt=\"\" class=\"wp-image-48\" srcset=\"https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063712-image-1024x137.png 1024w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063712-image-300x40.png 300w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063712-image-768x102.png 768w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063712-image.png 1080w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u4e3a\u4e86\u907f\u514d\u9690\u5f0f\u65b9\u6cd5\u7684\u590d\u6742\u8ba1\u7b97\uff0c\u4e0a\u5f0f\u9700\u8981\u5728\u6b63\u5411\u548c\u53cd\u5411\u90fd\u662f\u663e\u5f0f\u7684\uff0c\u8be5\u56e2\u961f\u79f0\u8fd9\u4e00\u6027\u8d28\u4e3a\u53cc\u5411\u663e\u6027\uff08bidirectional explicit\uff09\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"576\" src=\"https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063730-image-1024x576.png\" alt=\"\" class=\"wp-image-49\" srcset=\"https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063730-image-1024x576.png 1024w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063730-image-300x169.png 300w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063730-image-768x432.png 768w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063730-image.png 1080w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u4ee3\u5165\u53cc\u5411\u663e\u6027\u6761\u4ef6\uff0c\u53ef\u4ee5\u5f97\u5230\u4e00\u822c\u7684 k \u6b65 BELM \u91c7\u6837\u5668\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"126\" src=\"https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063737-image-1024x126.png\" alt=\"\" class=\"wp-image-50\" srcset=\"https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063737-image-1024x126.png 1024w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063737-image-300x37.png 300w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063737-image-768x95.png 768w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063737-image.png 1080w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u6700\u7b80\u5355\u7684\u5f62\u5f0f\u662f k=2\uff0c\u79f0\u4e3a 2-BELM\uff0c\u5176\u8868\u8fbe\u5f0f\u5982\u4e0b\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"81\" src=\"https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063744-image-1024x81.png\" alt=\"\" class=\"wp-image-51\" srcset=\"https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063744-image-1024x81.png 1024w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063744-image-300x24.png 300w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063744-image-768x60.png 768w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063744-image.png 1080w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u636e\u6b64\u5f88\u5bb9\u6613\u8bc1\u660e\uff0c\u4e00\u4e2a\u6ee1\u8db3\u53cc\u5411\u663e\u6027\u6027\u8d28\u7684\u7ebf\u6027\u591a\u6b65\u6cd5\u91c7\u6837\u5668\u62e5\u6709\u7cbe\u786e\u53cd\u6f14\u6027\u8d28\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"60\" src=\"https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063752-image-1024x60.png\" alt=\"\" class=\"wp-image-52\" srcset=\"https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063752-image-1024x60.png 1024w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063752-image-300x18.png 300w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063752-image-768x45.png 768w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063752-image.png 1080w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u7814\u7a76\u56e2\u961f\u8fd8\u53d1\u73b0\uff0c\u524d\u6587\u63d0\u5230\u7684 EDICT \u548c BDIA \u90fd\u662f BELM \u6846\u67b6\u7684\u7279\u4f8b\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"51\" src=\"https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063759-image-1024x51.png\" alt=\"\" class=\"wp-image-53\" srcset=\"https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063759-image-1024x51.png 1024w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063759-image-300x15.png 300w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063759-image-768x38.png 768w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063759-image.png 1080w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u8fd9\u4e5f\u89e3\u91ca\u4e86 EDICT \u548c BDIA \u80fd\u591f\u7cbe\u786e\u53cd\u6f14\u7684\u539f\u56e0\u3002<strong>\u6700\u4f18\u53cc\u5411\u663e\u5f0f\u7ebf\u6027\u591a\u6b65\uff08O-BELM\uff09\u91c7\u6837\u5668<\/strong>\u7814\u7a76\u56e2\u961f\u5728\u63a8\u5bfc BELM \u6846\u67b6\u6682\u65f6\u6ca1\u6709\u7ed9\u51fa\u5177\u4f53\u7684\u7cfb\u6570\u9009\u62e9\uff0c\u800c\u542f\u53d1\u5f0f\u7684\u7cfb\u6570\u9009\u62e9\uff08\u5982 EDICT \u548c BDIA\uff09\u4f1a\u9020\u6210\u91c7\u6837\u8d28\u91cf\u7684\u9000\u5316\u3002\u56e0\u6b64\uff0c\u4ed6\u4eec\u63d0\u51fa\u4f7f\u7528\u5c40\u90e8\u622a\u65ad\u8bef\u5dee\uff08LTE\uff09\u6765\u83b7\u53d6\u6700\u4f18\u7cfb\u6570\u3002\u9996\u5148\u5206\u6790 BELM \u7684\u5c40\u90e8\u622a\u65ad\u8bef\u5dee\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"215\" src=\"https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063766-image-1024x215.png\" alt=\"\" class=\"wp-image-54\" srcset=\"https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063766-image-1024x215.png 1024w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063766-image-300x63.png 300w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063766-image-768x161.png 768w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063766-image.png 1080w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u901a\u8fc7\u5bf9\u5c40\u90e8\u622a\u65ad\u8bef\u5dee\u7684\u6700\u5c0f\u5316\uff0c\u6211\u4eec\u5f97\u5230\u4e86\u6700\u4f18\u7684 BELM \u7cfb\u6570\uff0c\u6211\u4eec\u79f0\u6b64\u7cfb\u6570\u4e0b\u7684 BELM \u91c7\u6837\u5668\u4e3a\u6700\u4f18 BELM\uff08O-BELM\uff09\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"148\" src=\"https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063775-image-1024x148.png\" alt=\"\" class=\"wp-image-55\" srcset=\"https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063775-image-1024x148.png 1024w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063775-image-300x43.png 300w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063775-image-768x111.png 768w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063775-image.png 1080w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>O-BELM \u7684\u6b63\u5411\u8fc7\u7a0b\u8868\u8fbe\u5f0f\u5982\u4e0b\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"101\" src=\"https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063782-image-1024x101.png\" alt=\"\" class=\"wp-image-56\" srcset=\"https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063782-image-1024x101.png 1024w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063782-image-300x30.png 300w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063782-image-768x76.png 768w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063782-image.png 1080w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>O-BELM \u7684\u53cd\u6f14\u8fc7\u7a0b\u8868\u8fbe\u5f0f\u5982\u4e0b\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"92\" src=\"https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063787-image-1024x92.png\" alt=\"\" class=\"wp-image-57\" srcset=\"https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063787-image-1024x92.png 1024w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063787-image-300x27.png 300w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063787-image-768x69.png 768w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063787-image.png 1080w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u6b64\u5916\uff0c\u7814\u7a76\u56e2\u961f\u8fd8\u8bc1\u660e\u4e86 O-BELM \u6ee1\u8db3\u7a33\u5b9a\u6027\u548c\u5168\u5c40\u6536\u655b\u6027\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"59\" src=\"https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063794-image-1024x59.png\" alt=\"\" class=\"wp-image-58\" srcset=\"https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063794-image-1024x59.png 1024w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063794-image-300x17.png 300w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063794-image-768x44.png 768w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063794-image.png 1080w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u81f3\u6b64\uff0c\u53ef\u4ee5\u5bf9\u6bd4\u51e0\u79cd\u4e0d\u540c\u53cd\u6f14\u91c7\u6837\u5668\u7684\u6027\u8d28\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"259\" src=\"https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063800-image-1024x259.png\" alt=\"\" class=\"wp-image-59\" srcset=\"https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063800-image-1024x259.png 1024w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063800-image-300x76.png 300w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063800-image-768x194.png 768w, https:\/\/sodalee.top\/wp-content\/uploads\/2024\/11\/1731063800-image.png 1080w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u53ef\u89c1\uff0cO-BELM \u662f\u7b2c\u4e00\u79cd\u5728\u4e25\u683c\u7684\u7406\u8bba\u4fdd\u8bc1\u4e0b\u517c\u987e\u7cbe\u786e\u53cd\u6f14\u6027\u8d28\u548c\u91c7\u6837\u8d28\u91cf\u7684\u91c7\u6837\u5668\u3002<\/p>\n\n\n\n<p><strong>\u91cd\u5efa\u5b9e\u9a8c\uff08\u9a8c\u8bc1 O-BELM 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