\u56fe\u7f51\u7edc\u7565\u8ff0<\/title><\/head>\n<body><p>\u5176\u5b9e\u5f00\u59cb\u51b2\u56fe\u795e\u7ecf\u7f51\u7edc\u4e5f\u5df2\u7ecf\u6709\u4e00\u6bb5\u65f6\u95f4\u4e86\uff0c\u4ece\u534a\u5e74\u524d\u9605\u89c8\u300aRelational inductive biases, deep learning, and graph networks\u300b\u4e00\u6587\uff0c\u5bf9\u56fe\u7f51\u7edc\u6709\u4e86\u4e00\u5b9a\u7684\u4e86\u89e3\uff0c\u5230\u73b0\u5728\u5df2\u7ecf\u8fc7\u53bb\u534a\u5e74\u4e86\u3002\u7136\u800c\u8fd9\u534a\u5e74\u4e2d\u6211\u4e00\u76f4\u5728\u6478\u9c7c\uff0c\u5c31\u7b97\u5076\u5c14\u590d\u4e60\u56fe\u795e\u7ecf\u7f51\u7edc\u7684\u65b9\u6cd5\uff0c\u4e5f\u4e00\u76f4\u5728\u590d\u4e60\u76f8\u540c\u7684\u5de5\u4f5c\u3002\u5148\u524d\u6709\u5e78\u53d7\u5b9e\u9a8c\u5ba4\u9694\u5ea7\u7684\u718a\u5f1f\u9080\u8bf7\u53c2\u4e0e\u4e00\u4e2a\u7814\u7a76\uff0c\u57fa\u4e8e\u56fe\u7f51\u7edc\u548c\u7279\u5f81\u63d0\u53d6\u5206\u79bb\u7684\u7c7b\u589e\u91cf\u5b66\u4e60\u3002\u4f46\u6bd4\u8f83\u5c34\u5c2c\u7684\u662f\uff0c\u6211\u9664\u4e86\u81ea\u8be9\u77e5\u6653\u56fe\u7f51\u7edc\u4ee5\u5916\uff0c\u5bf9\u5b9e\u9645\u7684\u64cd\u4f5c\u4e0e\u5e94\u7528\u4e00\u65e0\u6240\u77e5\u3002\u9042\u5199\u4e0b\u8fd9\u7bc7\u6587\u7ae0\uff0c\u6765\u662d\u793a\u81ea\u5df1\u6b63\u5f0f\u5f00\u59cb\u56fe\u7f51\u7edc\u7684\u5b66\u4e60\uff0c\u5e76\u4e14\u5c1d\u8bd5\u8bb0\u5f55\u548c\u878d\u6c47\u5df2\u77e5\u7684\u77e5\u8bc6\u70b9\uff0c\u4e0d\u5728\u6d6a\u8d39\u65f6\u95f4\u4e8e\u91cd\u590d\u7684\u5de5\u4f5c\u4e0a\uff0c\u4e8e\u662f\u5f00\u59cb\u5427\u3002<\/p>\n<h1>INTRO<\/h1>\n<p>\u9996\u5148\uff0c\u56fe\u7f51\u7edc\u662f\u4e3a\u4ec0\u4e48\u4ea7\u751f\u7684\u5462\uff0c\u901a\u5e38\uff0c\u6211\u4eec\u7b80\u7565\u7684\u79f0\u4e4b\u4e3a\uff0c\u65b9\u4fbf\u8868\u8fbe\u7ed3\u6784\u5316\u7684\u77e5\u8bc6\uff0c\u5904\u7406\u7ed3\u6784\u5316\u7684\u6570\u636e\u3002\u8fd9\u91cc\u7684\u7ed3\u6784\u5176\u5b9e\u8ddf\u6570\u636e\u5e93\u53ca\u6570\u636e\u7ed3\u6784\u4e2d\u63cf\u8ff0\u7684\u7ed3\u6784\u662f\u76f8\u4f3c\u7684\uff0c\u5373\u4e00\u79cd\u4fe1\u606f\u4e4b\u95f4\u5173\u8054\u7684\u7ed3\u6784\uff0c\u4ee5\u53ca\u77e5\u8bc6\u4e4b\u95f4\u5173\u8054\u7684\u7ed3\u6784\u3002\u56fe\u62e5\u6709\u8fd9\u6837\u7684\u7279\u70b9\uff0c\u80fd\u901a\u8fc7\u8282\u70b9\u6765\u5bf9\u5b9e\u4f53\u8fdb\u884c\u63cf\u8ff0\uff0c\u5e76\u7528\u8fb9\u63cf\u8ff0\u5b9e\u4f53\u4e4b\u95f4\u7684\u5173\u7cfb\uff0c\u4e0e\u6b64\u540c\u65f6\u8fd8\u6709\u7740\u9690\u542b\u4fe1\u606f\u7684\u50a8\u5b58\u548c\u5168\u5c40\u4fe1\u606f\u7684\u5b58\u5728\uff0c\u4e8e\u662f\u6784\u6210\u4e86\u4e00\u4e2a\u65b0\u9896\u4e14\u590d\u6742\u7684\u795e\u7ecf\u7f51\u7edc\u7ed3\u6784\u3002<\/p>\n<p>\u5728\u5468\u5fd7\u534e\u7684\u673a\u5668\u5b66\u4e60\u4e00\u4e66\u534a\u76d1\u7763\u5b66\u4e60\u7ae0\u8282\u4e2d\uff0c\u6709\u5bf9\u57fa\u672c\u7684\u56fe\u5b66\u4e60\u7b56\u7565\u8fdb\u884c\u57fa\u672c\u7684\u63cf\u8ff0\uff0c\u8be6\u89c1\u6211\u4e3a\u4e86\u5e94\u4ed8\u8bfe\u7a0b\u8003\u8bd5\u6574\u7406\u7684<a href='http:\/\/blog.cyasylum.top\/index.php\/2020\/07\/05\/\u56fe\u534a\u76d1\u7763\u5b66\u4e60\/'>\u56fe\u534a\u76d1\u7763\u5b66\u4e60<\/a>\u3002\u5176\u57fa\u672c\u601d\u8def\u662f\u8fd9\u6837\u7684\uff0c\u901a\u8fc7\u201d\u6837\u672c\u8ddd\u79bb\u5ea6\u91cf\u201c\u523b\u753b\u83b7\u53d6\u6837\u672c\u4e4b\u95f4\u7684\u8054\u7cfb\uff0c\u5c06\u6837\u672c\u5d4c\u5165\u5230\u201c\u56fe\u201d\uff0c\u5373\u6837\u672c\u5373\u5176\u5173\u7cfb\u7684\u96c6\u5408\u4e2d\u3002\u540e\u901a\u8fc7\u56fe\u5c06\u534a\u76d1\u7763\u5b66\u4e60\u4e2d\u6709\u6807\u8bb0\u6837\u672c\u7684\u6807\u7b7e\u5bf9\u672a\u6807\u8bb0\u6837\u672c\u8fdb\u884c\u4f20\u9012\uff0c\u4ece\u800c\u83b7\u53d6\u672a\u6807\u8bb0\u6837\u672c\u7684\u5c5e\u6027\uff0c\u8fdb\u884c\u5b66\u4e60\u3002<\/p>\n<p>\u5982\u6b64\uff0c\u4fbf\u5b9a\u4e0b\u6765\u56fe\u7f51\u7edc\u7684\u57fa\u672c\u601d\u8def\uff0c\u5373\u901a\u8fc7<strong><em>\u4fe1\u606f\u5728\u56fe\u4e0a\u7684\u4f20\u9012<\/em><\/strong>\uff0c\u8fed\u4ee3\u5b66\u4e60\u77e5\u8bc6\u3002\u6709\u4e86\u8fd9\u6837\u7684\u57fa\u7840\uff0c\u6211\u4eec\u4fbf\u53ef\u4ee5\u5f00\u59cb\u5bf9\u56fe\u7f51\u7edc\u8fdb\u884c\u8ba8\u8bba\u4e86\u3002<\/p>\n<p>\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u4ece\u6700\u57fa\u7840\u7684\u90e8\u5206\u6765\u8bb2\u8bb2\uff0c\u4fe1\u606f\u662f\u5982\u4f55\u5728\u56fe\u4e0a\u8fdb\u884c\u4f20\u64ad\u7684\u3002<\/p>\n<h2>\u6d88\u606f\u4f20\u9012<\/h2>\n<p>\u90a3\u4e48\uff0c\u6d88\u606f\u662f\u4ec0\u4e48\u5462\uff1f\u5728\u5927\u591a\u6570\u65f6\u5019\uff0c\u6211\u4eec\u5c06\u6d88\u606f\u7406\u89e3\u4e3a\u8282\u70b9\uff08\u4f46\u5176\u5b9e\u5728\u7279\u5b9a\u573a\u5408\uff0c\u8fb9\u6216\u8005\u5168\u5c40\u4fe1\u606f\u90fd\u662f\u53ef\u4ee5\u6216\u8005\u9700\u8981\u8003\u8651\u7684\uff09\uff0c\u5373\u201c\u5b9e\u4f53\u201d\u5305\u542b\u7684\uff0c\u8981\u4f20\u9012\u7684\u4fe1\u606f\u3002\u5bf9\u4e8e\u4e00\u4e2a\u7ed3\u6784\u76f8\u5bf9\u590d\u6742\u7684\u8282\u70b9\u800c\u8a00\uff0c\u5047\u8bbe\u5176\u62e5\u6709n\u4e2a\u5c5e\u6027\uff0c\u6211\u4eec\u4fbf\u7528\u4e00\u4e2an\u7ef4\u7684\u5411\u91cf\uff08\u6216\u662f\u5176\u4ed6\u4ec0\u4e48\uff09<span 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573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E5-MJMATHI-41\" x=\"0\" y=\"0\"><\/use><g transform=\"translate(750,-150)\"><use transform=\"scale(0.707)\" xlink:href=\"#E5-MJMATHI-69\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E5-MJMATHI-6A\" x=\"345\" y=\"0\"><\/use><\/g><use xlink:href=\"#E5-MJMAIN-3D\" x=\"1663\" y=\"0\"><\/use><use xlink:href=\"#E5-MJMAIN-31\" x=\"2718\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">A_{ij}=1<\/script>\uff0c\u5728\u5b58\u5728\u6743\u91cd\u7684\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u5c06<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"3.217ex\" height=\"2.694ex\" viewBox=\"0 -806.1 1385.3 1160\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.822ex;\"><defs><path stroke-width=\"0\" id=\"E6-MJMATHI-41\" d=\"M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z\"><\/path><path stroke-width=\"0\" id=\"E6-MJMATHI-69\" d=\"M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z\"><\/path><path stroke-width=\"0\" id=\"E6-MJMATHI-6A\" d=\"M297 596Q297 627 318 644T361 661Q378 661 389 651T403 623Q403 595 384 576T340 557Q322 557 310 567T297 596ZM288 376Q288 405 262 405Q240 405 220 393T185 362T161 325T144 293L137 279Q135 278 121 278H107Q101 284 101 286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 -91T53 -71Q70 -71 82 -81T95 -112Q95 -148 63 -167Q69 -168 77 -168Q111 -168 139 -140T182 -74L193 -32Q204 11 219 72T251 197T278 308T289 365Q289 372 288 376Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E6-MJMATHI-41\" x=\"0\" y=\"0\"><\/use><g transform=\"translate(750,-150)\"><use transform=\"scale(0.707)\" xlink:href=\"#E6-MJMATHI-69\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E6-MJMATHI-6A\" x=\"345\" y=\"0\"><\/use><\/g><\/g><\/svg><\/span><script type=\"math\/tex\">A_{ij}<\/script>\u7684\u503c\u8bb0\u4f5c\u4e24\u8282\u70b9\u4e4b\u95f4\u8fb9\u7684\u6743\u91cd\u3002\u503c\u5f97\u6ce8\u610f\u7684\u662f\uff0c<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"2.018ex\" height=\"1.877ex\" viewBox=\"0 -755.9 869 808.1\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.121ex;\"><defs><path stroke-width=\"0\" id=\"E7-MJMAINB-41\" d=\"M296 0Q278 3 164 3Q58 3 49 0H40V62H92Q144 62 144 64Q388 682 397 689Q403 698 434 698Q463 698 471 689Q475 686 538 530T663 218L724 64Q724 62 776 62H828V0H817Q796 3 658 3Q509 3 485 0H472V62H517Q561 62 561 63L517 175H262L240 120Q218 65 217 64Q217 62 261 62H306V0H296ZM390 237L492 238L440 365Q390 491 388 491Q287 239 287 237H390Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E7-MJMAINB-41\" x=\"0\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">\\bold A<\/script>\u5bf9\u89d2\u7ebf\u4e0a\u7684\u503c\uff0c\u5373\u8282\u70b9\u4e4b\u95f4\u81ea\u8fde\u63a5\u7684\u7cfb\u6570\uff0c\u5728\u4e0d\u505a\u8003\u8651\u81ea\u8fde\u63a5\u65f6\u90fd\u88ab\u8bb0\u4f5c0\u3002<\/p>\n<p>\u53e6\u5916\uff0c\u6211\u4eec\u7279\u6b8a\u5b9a\u4e49\u8282\u70b9\u7684\u5ea6\u4e3a\u8be5\u70b9\u6240\u6709\u8fde\u63a5\u6743\u91cd\u4e4b\u548c\uff0c\u5373<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"12.199ex\" height=\"6.196ex\" viewBox=\"0 -1459.5 5252.5 2667.7\" role=\"img\" focusable=\"false\" style=\"vertical-align: -2.806ex;\"><defs><path stroke-width=\"0\" id=\"E8-MJMATHI-44\" d=\"M287 628Q287 635 230 637Q207 637 200 638T193 647Q193 655 197 667T204 682Q206 683 403 683Q570 682 590 682T630 676Q702 659 752 597T803 431Q803 275 696 151T444 3L430 1L236 0H125H72Q48 0 41 2T33 11Q33 13 36 25Q40 41 44 43T67 46Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628ZM703 469Q703 507 692 537T666 584T629 613T590 629T555 636Q553 636 541 636T512 636T479 637H436Q392 637 386 627Q384 623 313 339T242 52Q242 48 253 48T330 47Q335 47 349 47T373 46Q499 46 581 128Q617 164 640 212T683 339T703 469Z\"><\/path><path stroke-width=\"0\" id=\"E8-MJMATHI-69\" d=\"M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z\"><\/path><path stroke-width=\"0\" id=\"E8-MJMAIN-3D\" d=\"M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z\"><\/path><path stroke-width=\"0\" id=\"E8-MJSZ1-2211\" d=\"M61 748Q64 750 489 750H913L954 640Q965 609 976 579T993 533T999 516H979L959 517Q936 579 886 621T777 682Q724 700 655 705T436 710H319Q183 710 183 709Q186 706 348 484T511 259Q517 250 513 244L490 216Q466 188 420 134T330 27L149 -187Q149 -188 362 -188Q388 -188 436 -188T506 -189Q679 -189 778 -162T936 -43Q946 -27 959 6H999L913 -249L489 -250Q65 -250 62 -248Q56 -246 56 -239Q56 -234 118 -161Q186 -81 245 -11L428 206Q428 207 242 462L57 717L56 728Q56 744 61 748Z\"><\/path><path 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L<\/script>\u6765\u8003\u8651\u56fe\u4e0a\u7684\u6d88\u606f\u4f20\u9012\u7279\u6027\u3002<\/p>\n<p>\u540c\u65f6\uff0c\u6211\u4eec\u53ef\u4ee5\u7406\u89e3\u4e3a\uff0c\u62c9\u666e\u62c9\u65af\u77e9\u9635\u63cf\u8ff0\u4e86\u56fe\u7684\u7ed3\u6784\u3002<\/p>\n<h2>\u5f52\u4e00\u5316\u62c9\u666e\u62c9\u65af\u77e9\u9635<\/h2>\n<p>\u4e3a\u4e86\u65b9\u4fbf\u62c9\u666e\u62c9\u65af\u77e9\u9635\u5728\u673a\u5668\u5b66\u4e60\u7b49\u4f17\u591a\u9700\u8981\u8fed\u4ee3\u6c42\u89e3\u95ee\u9898\u4e2d\u7684\u5b9e\u9645\u4f7f\u7528\uff0c\u6211\u4eec\u8981\u6c42\u5bf9\u62c9\u666e\u62c9\u65af\u77e9\u9635\u8fdb\u884c\u5f52\u4e00\u5316\u64cd\u4f5c\uff0c\u4ece\u800c\u907f\u514d\u5728\u591a\u6b21\u4f20\u9012\u540e\u5bfc\u81f4\u7684\u68af\u5ea6\u7206\u70b8\u548c\u68af\u5ea6\u6d88\u5931\u3002\u6211\u4eec\u9700\u8981\u4ee4\u5176\u5bf9\u89d2\u7ebf\u4e0a\u5143\u7d20\u7edf\u4e00\u7b49\u4e8e1\u3002<\/p>\n<p>\u6211\u4eec\u5df2\u77e5\u7684\u662f\uff0c\u4e3b\u5bf9\u89d2\u7ebf\u4e0a\u7684\u5143\u7d20\u53ea\u4f1a\u540c<span 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y=\"0\"><\/use><g transform=\"translate(882,418)\"><use transform=\"scale(0.707)\" xlink:href=\"#E14-MJMAIN-2212\" x=\"0\" y=\"0\"><\/use><g transform=\"translate(550,0)\"><g transform=\"translate(120,0)\"><rect stroke=\"none\" width=\"370\" height=\"60\" x=\"0\" y=\"146\"><\/rect><use transform=\"scale(0.5)\" xlink:href=\"#E14-MJMAIN-31\" x=\"119\" y=\"662\"><\/use><use transform=\"scale(0.5)\" xlink:href=\"#E14-MJMAIN-32\" x=\"119\" y=\"-621\"><\/use><\/g><\/g><\/g><\/g><\/g><\/svg><\/span><script type=\"math\/tex\">\\bold L^{sym} = \\bold D^{-\\frac{1}{2}}\\bold L\\bold D^{-\\frac{1}{2}}=\\bold I-\\bold D^{-\\frac{1}{2}}\\bold A\\bold D^{-\\frac{1}{2}}<\/script><\/p>\n<p><span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"46.374ex\" height=\"10.048ex\" viewBox=\"0 -2414.4 19966.7 4326.3\" role=\"img\" focusable=\"false\" style=\"vertical-align: -4.44ex;\"><defs><path 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xlink:href=\"#E17-MJMAINB-4C\" x=\"0\" y=\"0\"><\/use><g transform=\"translate(692,412)\"><use transform=\"scale(0.707)\" xlink:href=\"#E17-MJMATHI-73\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E17-MJMATHI-79\" x=\"469\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E17-MJMATHI-6D\" x=\"966\" y=\"0\"><\/use><\/g><use xlink:href=\"#E17-MJMAIN-3D\" x=\"2373\" y=\"0\"><\/use><g transform=\"translate(3429,0)\"><use xlink:href=\"#E17-MJMAINB-44\" x=\"0\" y=\"0\"><\/use><g transform=\"translate(882,412)\"><use transform=\"scale(0.707)\" xlink:href=\"#E17-MJMAIN-2212\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E17-MJMAIN-31\" x=\"778\" y=\"0\"><\/use><\/g><\/g><use xlink:href=\"#E17-MJMAINB-4C\" x=\"5315\" y=\"0\"><\/use><use xlink:href=\"#E17-MJMAIN-3D\" x=\"6284\" y=\"0\"><\/use><use xlink:href=\"#E17-MJMAINB-49\" x=\"7340\" y=\"0\"><\/use><use xlink:href=\"#E17-MJMAIN-2212\" x=\"7998\" y=\"0\"><\/use><g transform=\"translate(8999,0)\"><use xlink:href=\"#E17-MJMAINB-44\" x=\"0\" y=\"0\"><\/use><g transform=\"translate(882,412)\"><use transform=\"scale(0.707)\" xlink:href=\"#E17-MJMAIN-2212\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E17-MJMAIN-31\" x=\"778\" y=\"0\"><\/use><\/g><\/g><use xlink:href=\"#E17-MJMAINB-41\" x=\"10884\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">\\bold L^{sym} = \\bold D^{-1}\\bold L=\\bold I-\\bold D^{-1}\\bold A<\/script>\uff0c\u4e0d\u8fc7\u6211\u8fd8\u4e0d\u719f\uff0c\u6682\u65f6\u4e0d\u7ba1\u4e86<\/p>\n<h2>\u56fe\u7684\u9891\u57df\u8868\u793a<\/h2>\n<p>\u5176\u5b9e\u633a\u610f\u5916\u7684\uff0c\u65e9\u5728\u53bb\u5e74\u7684\u8fd9\u4e2a\u65f6\u5019\uff0c\u6211\u4e5f\u8003\u8651\u8fc7\u8fd9\u4e2a\u95ee\u9898\u3002\u5bf9\u56fe\u50cf\u7684\u77e9\u9635\u8fdb\u884c\u5947\u5f02\u503c\u5206\u89e3\uff0c\u901a\u8fc7\u5207\u9664\u90e8\u5206\u5947\u5f02\u503c\uff0c\u6211\u4eec\u53ef\u4ee5\u5bf9\u56fe\u50cf\u4e2d\u7684\u4f4e\u9891\u548c\u9ad8\u9891\u4fe1\u606f\u8fdb\u884c\u5b9a\u91cf\u7684\u526a\u5207\uff0c\u4f7f\u5f97\u51cf\u5c11\u50a8\u5b58\u4fe1\u606f\u7684\u540c\u65f6\u4e0d\u4e22\u5931\u5927\u90e8\u5206\u753b\u8d28\u3002\u8fd9\u6837\u7684\u7279\u6027\u662f\u4e0d\u662f\u540c\u4fe1\u53f7\u7684\u9891\u57df\u5206\u6790\uff0c\u5373\u5085\u91cc\u53f6\u53d8\u6362\u6709\u7740\u76f8\u4f3c\u4e4b\u5904\u3002\u5f53\u65f6\u7684\u6211\u5bfb\u904d\u4e86\u5168\u7f51\uff0c\u5e76\u6ca1\u6709\u5f97\u5230\u751a\u4e48\u7ed3\u679c\u3002\u800c\u5982\u4eca\uff0c\u6211\u5728\u505a\u56fe\u7684\u8c31\u5206\u6790\u3002<\/p>\n<p>\u4e3a\u4e86\u76f4\u89c2\u5730\u5bf9\u63cf\u8ff0\u4fe1\u53f7\u4f20\u64ad\u7684\u56fe\u8fdb\u884c\u76f4\u89c2\u7684\u201c\u5377\u79ef\u6ee4\u6ce2\uff08\u9700\u8981\u6ce8\u610f\u7684\u662f\uff0c\u8fd9\u91cc\u7684\u5377\u79ef\u5c31\u4e0d\u662f\u56fe\u50cf\u610f\u4e49\u4e0a\u7684\u5377\u79ef\u4e86\uff0c\u800c\u662f\u4fe1\u53f7\u610f\u4e49\u7684\u5377\u79ef\u3002\u4f46\u662f\u5728\u5b9e\u9645\u8fd0\u7528\u4e2d\u56fe\u7684\u5377\u79ef\u8868\u793a\u7684\u4e5f\u662f\u4fe1\u53f7\u5728\u76f8\u90bb\u56fe\u8282\u70b9\u4e0a\u7684\u4f20\u64ad\uff0c\u8fd9\u53c8\u4e0e\u56fe\u50cf\u7684\u5377\u79ef\u6709\u7740\u5f02\u66f2\u540c\u5de5\u4e4b\u5999\uff0c\u90a3\u4e48\u65b0\u7684\u95ee\u9898\u6765\u4e86\uff0c\u4fe1\u53f7\u5377\u79ef\u548c\u56fe\u50cf\u5377\u79ef\u662f\u5426\u4e5f\u5b58\u5728\u7740\u751a\u4e48\u7269\u7406\u5c42\u9762\u4e0a\u7684\u8054\u7cfb\uff1f\uff09\u201d\u6211\u4eec\u901a\u8fc7\u7279\u5f81\u5206\u89e3\uff0c\u83b7\u53d6\u56fe\u7684\u201c\u9891\u8c31\u201d\uff0c\u4ece\u8fd9\u8fb9\u5f00\u59cb\uff0c\u4fbf\u662fSpectral 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y=\"0\"><\/use><g transform=\"translate(2025,0)\"><use xlink:href=\"#E18-MJMAINB-55\" x=\"0\" y=\"0\"><\/use><use xlink:href=\"#E18-MJMAINB-39B\" x=\"885\" y=\"0\"><\/use><use xlink:href=\"#E18-MJMAINB-55\" x=\"1691\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E18-MJMAIN-22A4\" x=\"3643\" y=\"601\"><\/use><\/g><\/g><\/svg><\/span><script type=\"math\/tex\">\\bold L = \\bold{U\\Lambda U}^\\top<\/script>,\u5176\u4e2d\u7279\u5f81\u503c\u63cf\u8ff0\u7684\u662f\u56fe\u50cf\u7684\u9891\u8c31\u5f3a\u5ea6\uff0c\u800c\u7279\u5f81\u5411\u91cf\u63cf\u8ff0\u4e86\u5206\u89e3\u7684\u57fa\u5e95\uff0c\u5373\u9891\u7387\uff0c\u5bf9\u5e94\u9891\u8c31\u5206\u6790\u4e2d\u7684<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"4.883ex\" height=\"2.344ex\" viewBox=\"0 -906.7 2102.5 1009.2\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.238ex;\"><defs><path 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431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E19-MJMATHI-65\" x=\"0\" y=\"0\"><\/use><g transform=\"translate(466,362)\"><use transform=\"scale(0.707)\" xlink:href=\"#E19-MJMAIN-2212\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E19-MJMATHI-6A\" x=\"778\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E19-MJMATHI-3C9\" x=\"1189\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E19-MJMATHI-74\" x=\"1811\" y=\"0\"><\/use><\/g><\/g><\/svg><\/span><script type=\"math\/tex\">e^{-j\\omega t}<\/script>\u3002<\/p>\n<p>\u4e8e\u662f\uff0c\u6211\u4eec\u8003\u8651\u6ee4\u6ce2\u548c\u6ee4\u6ce2\u5668\uff0c\u6211\u4eec\u8bbe\u8ba1<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"12.463ex\" height=\"2.577ex\" viewBox=\"0 -806.1 5366.2 1109.7\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.705ex;\"><defs><path stroke-width=\"0\" id=\"E20-MJMATHI-67\" d=\"M311 43Q296 30 267 15T206 0Q143 0 105 45T66 160Q66 265 143 353T314 442Q361 442 401 394L404 398Q406 401 409 404T418 412T431 419T447 422Q461 422 470 413T480 394Q480 379 423 152T363 -80Q345 -134 286 -169T151 -205Q10 -205 10 -137Q10 -111 28 -91T74 -71Q89 -71 102 -80T116 -111Q116 -121 114 -130T107 -144T99 -154T92 -162L90 -164H91Q101 -167 151 -167Q189 -167 211 -155Q234 -144 254 -122T282 -75Q288 -56 298 -13Q311 35 311 43ZM384 328L380 339Q377 350 375 354T369 368T359 382T346 393T328 402T306 405Q262 405 221 352Q191 313 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y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">g_\\theta=diag(\\mathbf\\theta)<\/script>\uff0c\u6709\u6ee4\u6ce2\u5668\u6539\u53d8\u4e86\u57fa\u5e95\u4e0a\u4fe1\u53f7\u7684\u5f3a\u5ea6\uff0c\u5373\u6709<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"5.529ex\" height=\"2.577ex\" viewBox=\"0 -806.1 2380.6 1109.7\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.705ex;\"><defs><path stroke-width=\"0\" id=\"E21-MJMATHI-67\" d=\"M311 43Q296 30 267 15T206 0Q143 0 105 45T66 160Q66 265 143 353T314 442Q361 442 401 394L404 398Q406 401 409 404T418 412T431 419T447 422Q461 422 470 413T480 394Q480 379 423 152T363 -80Q345 -134 286 -169T151 -205Q10 -205 10 -137Q10 -111 28 -91T74 -71Q89 -71 102 -80T116 -111Q116 -121 114 -130T107 -144T99 -154T92 -162L90 -164H91Q101 -167 151 -167Q189 -167 211 -155Q234 -144 254 -122T282 -75Q288 -56 298 -13Q311 35 311 43ZM384 328L380 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xlink:href=\"#E21-MJMAIN-29\" x=\"1991\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">g_\\theta(\\Lambda)<\/script>\u4e3a\u7279\u5f81\u503c\u7684\u51fd\u6570\u3002\u6211\u4eec\u6709<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"2.11ex\" height=\"1.877ex\" viewBox=\"0 -504.6 908.6 808.1\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.705ex;\"><defs><path stroke-width=\"0\" id=\"E22-MJMATHI-67\" d=\"M311 43Q296 30 267 15T206 0Q143 0 105 45T66 160Q66 265 143 353T314 442Q361 442 401 394L404 398Q406 401 409 404T418 412T431 419T447 422Q461 422 470 413T480 394Q480 379 423 152T363 -80Q345 -134 286 -169T151 -205Q10 -205 10 -137Q10 -111 28 -91T74 -71Q89 -71 102 -80T116 -111Q116 -121 114 -130T107 -144T99 -154T92 -162L90 -164H91Q101 -167 151 -167Q189 -167 211 -155Q234 -144 254 -122T282 -75Q288 -56 298 -13Q311 35 311 43ZM384 328L380 339Q377 350 375 354T369 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-0.238ex;\"><defs><path stroke-width=\"0\" id=\"E24-MJMATHI-78\" d=\"M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E24-MJMATHI-78\" x=\"0\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">x<\/script>\u7684\u5377\u79ef\u7b49\u4e8e<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"5.256ex\" height=\"2.461ex\" viewBox=\"0 -755.9 2262.8 1059.4\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.705ex;\"><defs><path stroke-width=\"0\" id=\"E25-MJMATHI-67\" d=\"M311 43Q296 30 267 15T206 0Q143 0 105 45T66 160Q66 265 143 353T314 442Q361 442 401 394L404 398Q406 401 409 404T418 412T431 419T447 422Q461 422 470 413T480 394Q480 379 423 152T363 -80Q345 -134 286 -169T151 -205Q10 -205 10 -137Q10 -111 28 -91T74 -71Q89 -71 102 -80T116 -111Q116 -121 114 -130T107 -144T99 -154T92 -162L90 -164H91Q101 -167 151 -167Q189 -167 211 -155Q234 -144 254 -122T282 -75Q288 -56 298 -13Q311 35 311 43ZM384 328L380 339Q377 350 375 354T369 368T359 382T346 393T328 402T306 405Q262 405 221 352Q191 313 171 233T151 117Q151 38 213 38Q269 38 323 108L331 118L384 328Z\"><\/path><path stroke-width=\"0\" id=\"E25-MJMATHI-3B8\" d=\"M35 200Q35 302 74 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352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E25-MJMATHI-67\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E25-MJMATHI-3B8\" x=\"674\" y=\"-218\"><\/use><g transform=\"translate(908,0)\"><text font-family=\"STIXGeneral,'Arial Unicode MS',serif\" stroke=\"none\" transform=\"scale(50.259) matrix(1 0 0 -1 0 0)\">\u3001<\/text><\/g><use xlink:href=\"#E25-MJMATHI-78\" x=\"1690\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">g_\\theta\u3001x<\/script>\u5728\u9891\u57df\u76f8\u4e58\uff1a<\/p>\n<p><span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"17.871ex\" height=\"2.928ex\" viewBox=\"0 -956.9 7694.4 1260.5\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.705ex;\"><defs><path stroke-width=\"0\" id=\"E26-MJMATHI-67\" d=\"M311 43Q296 30 267 15T206 0Q143 0 105 45T66 160Q66 265 143 353T314 442Q361 442 401 394L404 398Q406 401 409 404T418 412T431 419T447 422Q461 422 470 413T480 394Q480 379 423 152T363 -80Q345 -134 286 -169T151 -205Q10 -205 10 -137Q10 -111 28 -91T74 -71Q89 -71 102 -80T116 -111Q116 -121 114 -130T107 -144T99 -154T92 -162L90 -164H91Q101 -167 151 -167Q189 -167 211 -155Q234 -144 254 -122T282 -75Q288 -56 298 -13Q311 35 311 43ZM384 328L380 339Q377 350 375 354T369 368T359 382T346 393T328 402T306 405Q262 405 221 352Q191 313 171 233T151 117Q151 38 213 38Q269 38 323 108L331 118L384 328Z\"><\/path><path stroke-width=\"0\" id=\"E26-MJMATHI-3B8\" d=\"M35 200Q35 302 74 415T180 610T319 704Q320 704 327 704T339 705Q393 701 423 656Q462 596 462 495Q462 380 417 261T302 66T168 -10H161Q125 -10 99 10T60 63T41 130T35 200ZM383 566Q383 668 330 668Q294 668 260 623T204 521T170 421T157 371Q206 370 254 370L351 371Q352 372 359 404T375 484T383 566ZM113 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33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z\"><\/path><path stroke-width=\"0\" id=\"E26-MJMAIN-3D\" d=\"M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z\"><\/path><path stroke-width=\"0\" id=\"E26-MJMAINB-55\" d=\"M570 686Q588 683 703 683T836 686H845V624H737V420Q737 390 737 345T738 284Q738 205 729 164T689 83Q614 -11 465 -11Q321 -11 240 51T148 207Q147 214 147 421V624H39V686H51Q75 683 226 683Q376 683 400 686H412V624H304V405V370V268Q304 181 311 146T346 87Q387 52 466 52Q642 52 667 195Q668 204 669 415V624H561V686H570Z\"><\/path><path stroke-width=\"0\" id=\"E26-MJMAIN-22A4\" d=\"M55 642T55 648T59 659T66 666T71 668H708Q723 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x=\"3758\" y=\"0\"><\/use><g transform=\"translate(4643,0)\"><use xlink:href=\"#E26-MJMATHI-67\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E26-MJMATHI-3B8\" x=\"674\" y=\"-218\"><\/use><\/g><g transform=\"translate(5552,0)\"><use xlink:href=\"#E26-MJMAINB-55\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E26-MJMAIN-22A4\" x=\"1251\" y=\"584\"><\/use><\/g><use xlink:href=\"#E26-MJMAINB-78\" x=\"7087\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">g_\\theta\\star x=\\bold U g_\\theta\\bold U^\\top \\bold x<\/script><\/p>\n<p>\u5982\u6b64\uff0c\u6211\u4eec\u5b8c\u6210\u4e86\u5728\u56fe\u795e\u7ecf\u7f51\u7edc\u4e0a\u8fdb\u884c\u5206\u6790\u7684\u57fa\u7840\u3002<\/p>\n<p>\u4f46\u662f\u5728\u5b9e\u9645\u95ee\u9898\u4e0b\uff0c\u8fd9\u6837\u7684\u56fe\u662f\u6781\u96be\u8ba1\u7b97\u7684\uff0c\u5f53\u6211\u4eec\u7684\u8282\u70b9\u89c4\u6a21\u8f83\u5927\u65f6\uff0c\u5bf9N<sup>2<\/sup>\u89c4\u6a21\u7684\u56fe\u8fdb\u884c\u77e9\u9635\u5206\u89e3\uff0c\u5e76\u4e14\u8fdb\u884c\u591a\u6b21\u77e9\u9635\u4e58\u6cd5\u9700\u8981\u6d88\u8017\u6781\u5927\u7684\u8d44\u6e90\uff0c\u8fd9\u4f7f\u5f97\u56fe\u7f51\u7edc\u5f88\u96be\u8fd0\u884c\u3002\u56e0\u6b64\u7eb5\u4f7f\u56fe\u7f51\u7edc\u6709\u7740\u5176\u7279\u6b8a\u7684\u6027\u8d28\uff0c\u5176\u70ed\u5ea6\u4e00\u76f4\u4e0d\u662f\u5f88\u9ad8\u3002<\/p>\n<h2>ChebNet<\/h2>\n<p>ChebNet\u7684\u5f15\u5165\u662f\u5f53\u4eca\u795e\u7ecf\u7f51\u7edc\u5927\u70ed\u95e8\u7684\u5f00\u7aef\uff0c\u4e5f\u662f\u56fe\u5377\u79ef\u7f51\u7edc\u7684\u57fa\u7840\u3002\u5176\u601d\u8def\u4e3a\uff0c\u4f7f\u7528\u5207\u6bd4\u96ea\u592b\u591a\u9879\u5f0f\u5bf9\u5377\u79ef\u8fc7\u7a0bK\u9636\u62df\u5408(<a href='https:\/\/zhuanlan.zhihu.com\/p\/138420723' target=\"_blank\" rel=\"nofollow\" >\u53c2\u8003<\/a>)<\/p>\n<p>ChebNet\u5047\u8bbe<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"2.11ex\" height=\"1.877ex\" viewBox=\"0 -504.6 908.6 808.1\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.705ex;\"><defs><path stroke-width=\"0\" id=\"E22-MJMATHI-67\" d=\"M311 43Q296 30 267 15T206 0Q143 0 105 45T66 160Q66 265 143 353T314 442Q361 442 401 394L404 398Q406 401 409 404T418 412T431 419T447 422Q461 422 470 413T480 394Q480 379 423 152T363 -80Q345 -134 286 -169T151 -205Q10 -205 10 -137Q10 -111 28 -91T74 -71Q89 -71 102 -80T116 -111Q116 -121 114 -130T107 -144T99 -154T92 -162L90 -164H91Q101 -167 151 -167Q189 -167 211 -155Q234 -144 254 -122T282 -75Q288 -56 298 -13Q311 35 311 43ZM384 328L380 339Q377 350 375 354T369 368T359 382T346 393T328 402T306 405Q262 405 221 352Q191 313 171 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width=\"1.612ex\" height=\"1.994ex\" viewBox=\"0 -806.1 694 858.4\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.121ex;\"><defs><path stroke-width=\"0\" id=\"E104-MJMAIN-39B\" d=\"M320 708Q326 716 340 716H348H355Q367 716 372 708Q374 706 423 547T523 226T575 62Q581 52 591 50T634 46H661V0H653Q644 3 532 3Q411 3 390 0H379V46H392Q464 46 464 65Q463 70 390 305T316 539L246 316Q177 95 177 84Q177 72 198 59T248 46H253V0H245Q230 3 130 3Q47 3 38 0H32V46H45Q112 51 127 91Q128 92 224 399T320 708Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E104-MJMAIN-39B\" x=\"0\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">\\Lambda<\/script>\u7684\u6ee4\u6ce2\u7ed3\u679c\u662f\u539f\u59cb\u7279\u5f81\u503c\u591a\u9879\u5f0f\u51fd\u6570\uff0c\u800c\u7f51\u7edc\u7684\u76ee\u7684\u662f\u629b\u5f03\u539f\u672c\u901a\u8fc7\u77e9\u9635\u76f8\u4e58\u6765\u5bf9\u5377\u79ef\u7ed3\u679c\u8fdb\u884c\u6c42\u89e3\uff0c\u800c\u901a\u8fc7\u53c2\u6570\u5b66\u4e60\u6765\u5bf9\u7ed3\u679c\u8fdb\u884c\u8868\u793a\uff0c\u7ed9\u51fa\u4e0b\u5f0f<\/p>\n<p><span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"66.232ex\" height=\"10.282ex\" viewBox=\"0 -2464.7 28516.6 4426.8\" role=\"img\" focusable=\"false\" style=\"vertical-align: -4.557ex;\"><defs><path stroke-width=\"0\" id=\"E52-MJMATHI-67\" d=\"M311 43Q296 30 267 15T206 0Q143 0 105 45T66 160Q66 265 143 353T314 442Q361 442 401 394L404 398Q406 401 409 404T418 412T431 419T447 422Q461 422 470 413T480 394Q480 379 423 152T363 -80Q345 -134 286 -169T151 -205Q10 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transform=\"scale(0.707)\" xlink:href=\"#E52-MJMATHI-6B\" x=\"800\" y=\"-213\"><\/use><\/g><g transform=\"translate(3629,0)\"><use xlink:href=\"#E52-MJMATHI-54\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E52-MJMATHI-6B\" x=\"825\" y=\"-213\"><\/use><\/g><use xlink:href=\"#E52-MJMAIN-28\" x=\"4681\" y=\"0\"><\/use><g transform=\"translate(5070,0)\"><use xlink:href=\"#E52-MJMATHI-3BB\" x=\"0\" y=\"0\"><\/use><use xlink:href=\"#E52-MJMAIN-5E\" x=\"41\" y=\"238\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E52-MJMAIN-31\" x=\"824\" y=\"-213\"><\/use><\/g><use xlink:href=\"#E52-MJMAIN-29\" x=\"6107\" y=\"0\"><\/use><\/g><\/g><g transform=\"translate(7481,0)\"><g transform=\"translate(0,-50)\"><use xlink:href=\"#E52-MJMAIN-2E\" x=\"0\" y=\"0\"><\/use><use xlink:href=\"#E52-MJMAIN-2E\" x=\"444\" y=\"0\"><\/use><use xlink:href=\"#E52-MJMAIN-2E\" x=\"889\" y=\"0\"><\/use><\/g><\/g><g transform=\"translate(9648,0)\"><g transform=\"translate(0,-1610)\"><use xlink:href=\"#E52-MJSZ1-2211\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E52-MJMATHI-4B\" x=\"1493\" y=\"674\"><\/use><g transform=\"translate(1056,-286)\"><use transform=\"scale(0.707)\" xlink:href=\"#E52-MJMATHI-6B\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E52-MJMAIN-3D\" x=\"521\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E52-MJMAIN-31\" x=\"1299\" y=\"0\"><\/use><\/g><g transform=\"translate(2594,0)\"><use xlink:href=\"#E52-MJMATHI-3B2\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E52-MJMATHI-6B\" x=\"800\" y=\"-213\"><\/use><\/g><g transform=\"translate(3629,0)\"><use xlink:href=\"#E52-MJMATHI-54\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E52-MJMATHI-6B\" x=\"825\" y=\"-213\"><\/use><\/g><use xlink:href=\"#E52-MJMAIN-28\" x=\"4681\" y=\"0\"><\/use><g transform=\"translate(5070,0)\"><use xlink:href=\"#E52-MJMATHI-3BB\" x=\"0\" y=\"0\"><\/use><use xlink:href=\"#E52-MJMAIN-5E\" x=\"41\" y=\"238\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E52-MJMATHI-6E\" x=\"824\" y=\"-213\"><\/use><\/g><use xlink:href=\"#E52-MJMAIN-29\" x=\"6177\" y=\"0\"><\/use><\/g><\/g><\/g><g transform=\"translate(17424,2403)\"><use xlink:href=\"#E52-MJSZ4-239E\" x=\"0\" y=\"-1154\"><\/use><g transform=\"translate(0,-2533.1751841570817) scale(1,1.2691396461591502)\"><use xlink:href=\"#E52-MJSZ4-239F\"><\/use><\/g><use xlink:href=\"#E52-MJSZ4-23A0\" x=\"0\" y=\"-3663\"><\/use><\/g><\/g><\/g><\/svg><\/span><script type=\"math\/tex\">\\displaystyle g_\\theta(\\Lambda)=\\sum_{k=0}^K\\beta_kT_k(\\hat\\Lambda)=\\left( \\begin{matrix} \\sum_{k=1}^{K}\\beta_kT_k(\\hat \\lambda_1)& & \\\\ & ...& \\\\ & & \\sum_{k=1}^{K}\\beta_kT_k(\\hat \\lambda_n)\\end{matrix} \\right)<\/script><\/p>\n<p>\u5176\u4e2d\u6709\u5207\u6bd4\u96ea\u592b\u591a\u9879\u5f0f\u5728\u77e9\u9635\u4e0a\u7684\u8868\u793a\uff0c\u5177\u4f53\u6570\u5b66\u80cc\u666f\u53ef\u4ee5\u8be6\u7ec6\u67e5\u770b<\/p>\n<p><span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"30.765ex\" height=\"9.231ex\" viewBox=\"0 -806.1 13246.2 3974.5\" role=\"img\" focusable=\"false\" style=\"vertical-align: -7.359ex;\"><defs><path stroke-width=\"0\" id=\"E77-MJMATHI-54\" d=\"M40 437Q21 437 21 445Q21 450 37 501T71 602L88 651Q93 669 101 677H569H659Q691 677 697 676T704 667Q704 661 687 553T668 444Q668 437 649 437Q640 437 637 437T631 442L629 445Q629 451 635 490T641 551Q641 586 628 604T573 629Q568 630 515 631Q469 631 457 630T439 622Q438 621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 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y=\"0\"><\/use><use xlink:href=\"#E77-MJMAIN-3D\" x=\"3748\" y=\"0\"><\/use><use xlink:href=\"#E77-MJMAIN-32\" x=\"4804\" y=\"0\"><\/use><use xlink:href=\"#E77-MJMATHI-4C\" x=\"5304\" y=\"0\"><\/use><g transform=\"translate(5985,0)\"><use xlink:href=\"#E77-MJMATHI-54\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E77-MJMATHI-6E\" x=\"825\" y=\"-213\"><\/use><\/g><use xlink:href=\"#E77-MJMAIN-28\" x=\"7093\" y=\"0\"><\/use><use xlink:href=\"#E77-MJMATHI-4C\" x=\"7482\" y=\"0\"><\/use><use xlink:href=\"#E77-MJMAIN-29\" x=\"8163\" y=\"0\"><\/use><use xlink:href=\"#E77-MJMAIN-2212\" x=\"8774\" y=\"0\"><\/use><g transform=\"translate(9775,0)\"><use xlink:href=\"#E77-MJMATHI-54\" x=\"0\" y=\"0\"><\/use><g transform=\"translate(584,-150)\"><use transform=\"scale(0.707)\" xlink:href=\"#E77-MJMATHI-6E\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E77-MJMAIN-2212\" x=\"600\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E77-MJMAIN-31\" x=\"1378\" y=\"0\"><\/use><\/g><\/g><use xlink:href=\"#E77-MJMAIN-28\" x=\"11787\" y=\"0\"><\/use><use xlink:href=\"#E77-MJMATHI-4C\" x=\"12176\" y=\"0\"><\/use><use xlink:href=\"#E77-MJMAIN-29\" x=\"12857\" y=\"0\"><\/use><\/g><\/g><\/svg><\/span><script type=\"math\/tex\">T_0(L) = I\\\\ T_1(L)=L\\\\ T_{n+1}(L)=2LT_n(L) - T_{n-1}(L) <\/script><\/p>\n<p>\u6709<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"2.402ex\" height=\"2.461ex\" viewBox=\"0 -806.1 1034.4 1059.4\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.588ex;\"><defs><path stroke-width=\"0\" id=\"E117-MJMATHI-3B2\" d=\"M29 -194Q23 -188 23 -186Q23 -183 102 134T186 465Q208 533 243 584T309 658Q365 705 429 705H431Q493 705 533 667T573 570Q573 465 469 396L482 383Q533 332 533 252Q533 139 448 65T257 -10Q227 -10 203 -2T165 17T143 40T131 59T126 65L62 -188Q60 -194 42 -194H29ZM353 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y=\"0\"><\/use><\/g><\/g><\/g><\/g><\/svg><\/span><script type=\"math\/tex\">\\begin{array}\\\\&\\bold U\\sum_{k=0}^{K}\\beta_kT_k(\\bold {\\hat \\Lambda}) \\bold U^\\top\\\\ =&\\sum_{k=0}^{K}\\bold U\\beta_k(\\sum_{c=0}^k\\alpha_{kc} \\bold {\\hat \\Lambda}^k) \\bold U^\\top\\\\ =&\\sum_{k=0}^{K}\\beta_k(\\sum_{c=0}^k\\alpha_{kc} (\\bold U\\bold {\\hat \\Lambda} \\bold U^\\top)^k )\\\\ =&\\sum_{k=0}^{K}\\beta_kT_k(\\bold U\\bold {\\hat \\Lambda} \\bold U^\\top)\\\\=&\\sum_{k=0}^{K}\\beta_kT_k(\\bold{\\hat L})\\end{array}<\/script><\/p>\n<p>\u5176\u4e2d<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"15.973ex\" height=\"3.745ex\" viewBox=\"0 -1007.2 6877.4 1612.3\" role=\"img\" focusable=\"false\" style=\"vertical-align: -1.405ex;\"><defs><path stroke-width=\"0\" id=\"E441-MJMAINB-4C\" d=\"M643 285Q641 280 629 148T612 4V0H39V62H147V624H39V686H51Q75 683 228 683Q415 685 425 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getting start\uff01<\/p>\n<\/body>\n<\/html>\n","protected":false},"excerpt":{"rendered":"<p>\u56fe\u7f51\u7edc\u7565\u8ff0 \u5176\u5b9e\u5f00\u59cb\u51b2\u56fe\u795e\u7ecf\u7f51\u7edc\u4e5f\u5df2\u7ecf\u6709\u4e00\u6bb5\u65f6\u95f4\u4e86\uff0c\u4ece\u534a\u5e74\u524d\u9605\u89c8\u300aRelational inductive biases, dee 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{"id":250,"date":"2020-07-05T23:55:59","date_gmt":"2020-07-05T15:55:59","guid":{"rendered":"http:\/\/blog.cyasylum.top\/?p=250"},"modified":"2020-07-05T23:55:59","modified_gmt":"2020-07-05T15:55:59","slug":"%e5%9b%be%e7%bd%91%e7%bb%9c%e7%95%a5%e8%bf%b0-intro%ef%bc%881","status":"publish","type":"post","link":"http:\/\/blog.cyasylum.top\/index.php\/2020\/07\/05\/%e5%9b%be%e7%bd%91%e7%bb%9c%e7%95%a5%e8%bf%b0-intro%ef%bc%881\/","title":{"rendered":"\u56fe\u7f51\u7edc\u7565\u8ff0-intro\uff081\/?)"},"content":{"rendered":"\n\n\n\n\n\u56fe\u7f51\u7edc\u7565\u8ff0<\/title><\/head>\n<body><p>\u5176\u5b9e\u5f00\u59cb\u51b2\u56fe\u795e\u7ecf\u7f51\u7edc\u4e5f\u5df2\u7ecf\u6709\u4e00\u6bb5\u65f6\u95f4\u4e86\uff0c\u4ece\u534a\u5e74\u524d\u9605\u89c8\u300aRelational inductive biases, deep learning, and graph 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class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"1.41ex\" height=\"1.293ex\" viewBox=\"0 -504.6 607 556.9\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.121ex;\"><defs><path stroke-width=\"0\" id=\"E2-MJMAINB-78\" d=\"M227 0Q212 3 121 3Q40 3 28 0H21V62H117L245 213L109 382H26V444H34Q49 441 143 441Q247 441 265 444H274V382H246L281 339Q315 297 316 297Q320 297 354 341L389 382H352V444H360Q375 441 466 441Q547 441 559 444H566V382H471L355 246L504 63L545 62H586V0H578Q563 3 469 3Q365 3 347 0H338V62H366Q366 63 326 112T285 163L198 63L217 62H235V0H227Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E2-MJMAINB-78\" x=\"0\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">\\bold x<\/script>\u8868\u793a\u8282\u70b9\u4e2d\u50a8\u5b58\u7684\u4fe1\u606f\u3002\u7136\u540e\uff0c\u8282\u70b9\u4e0a\u7684\u4fe1\u606f\u8981\u600e\u4e48\u4f20\u9012\u5462\uff1f<\/p>\n<p>\u7b54\u6848\u5fc5\u7136\u662f\u901a\u8fc7\u8282\u70b9\u4e4b\u95f4\u7684\u8fde\u63a5\u3002<\/p>\n<p>\u5728\u79bb\u6563\u6570\u5b66\u4e2d\uff0c\u6211\u4eec\u4f7f\u7528\u90bb\u63a5\u77e9\u9635\u6765\u523b\u753b\u56fe\u4e0a\u6240\u6709\u8282\u70b9\u4e4b\u95f4\u7684\u8054\u7cfb\uff0c\u5373Adjacency Matrix\uff0c\u8bb0\u4f5c<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"2.018ex\" height=\"1.877ex\" viewBox=\"0 -755.9 869 808.1\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.121ex;\"><defs><path stroke-width=\"0\" id=\"E7-MJMAINB-41\" d=\"M296 0Q278 3 164 3Q58 3 49 0H40V62H92Q144 62 144 64Q388 682 397 689Q403 698 434 698Q463 698 471 689Q475 686 538 530T663 218L724 64Q724 62 776 62H828V0H817Q796 3 658 3Q509 3 485 0H472V62H517Q561 62 561 63L517 175H262L240 120Q218 65 217 64Q217 62 261 62H306V0H296ZM390 237L492 238L440 365Q390 491 388 491Q287 239 287 237H390Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E7-MJMAINB-41\" x=\"0\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">\\bold A<\/script>\u3002\u5728\u4e0d\u8003\u8651\u8fb9\u6743\u91cd\u7684\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u5c06\u5b58\u5728\u8282\u70b9<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"5.398ex\" height=\"1.994ex\" viewBox=\"0 -504.6 2323.9 858.4\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.822ex;\"><defs><path stroke-width=\"0\" id=\"E4-MJMATHI-78\" d=\"M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z\"><\/path><path stroke-width=\"0\" id=\"E4-MJMATHI-69\" d=\"M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z\"><\/path><path stroke-width=\"0\" id=\"E4-MJMAIN-2C\" d=\"M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z\"><\/path><path stroke-width=\"0\" id=\"E4-MJMATHI-6A\" d=\"M297 596Q297 627 318 644T361 661Q378 661 389 651T403 623Q403 595 384 576T340 557Q322 557 310 567T297 596ZM288 376Q288 405 262 405Q240 405 220 393T185 362T161 325T144 293L137 279Q135 278 121 278H107Q101 284 101 286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 -91T53 -71Q70 -71 82 -81T95 -112Q95 -148 63 -167Q69 -168 77 -168Q111 -168 139 -140T182 -74L193 -32Q204 11 219 72T251 197T278 308T289 365Q289 372 288 376Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E4-MJMATHI-78\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E4-MJMATHI-69\" x=\"808\" y=\"-213\"><\/use><use xlink:href=\"#E4-MJMAIN-2C\" x=\"915\" y=\"0\"><\/use><g transform=\"translate(1360,0)\"><use xlink:href=\"#E4-MJMATHI-78\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E4-MJMATHI-6A\" x=\"808\" y=\"-213\"><\/use><\/g><\/g><\/svg><\/span><script type=\"math\/tex\">x_i,x_j<\/script>\u4e4b\u95f4\u7684\u8054\u7cfb\u8868\u793a\u4e3a<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"7.476ex\" height=\"2.694ex\" viewBox=\"0 -806.1 3218.8 1160\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.822ex;\"><defs><path stroke-width=\"0\" id=\"E5-MJMATHI-41\" d=\"M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z\"><\/path><path stroke-width=\"0\" id=\"E5-MJMATHI-69\" d=\"M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z\"><\/path><path stroke-width=\"0\" id=\"E5-MJMATHI-6A\" d=\"M297 596Q297 627 318 644T361 661Q378 661 389 651T403 623Q403 595 384 576T340 557Q322 557 310 567T297 596ZM288 376Q288 405 262 405Q240 405 220 393T185 362T161 325T144 293L137 279Q135 278 121 278H107Q101 284 101 286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 -91T53 -71Q70 -71 82 -81T95 -112Q95 -148 63 -167Q69 -168 77 -168Q111 -168 139 -140T182 -74L193 -32Q204 11 219 72T251 197T278 308T289 365Q289 372 288 376Z\"><\/path><path stroke-width=\"0\" id=\"E5-MJMAIN-3D\" d=\"M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z\"><\/path><path stroke-width=\"0\" id=\"E5-MJMAIN-31\" d=\"M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E5-MJMATHI-41\" x=\"0\" y=\"0\"><\/use><g transform=\"translate(750,-150)\"><use transform=\"scale(0.707)\" xlink:href=\"#E5-MJMATHI-69\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E5-MJMATHI-6A\" x=\"345\" y=\"0\"><\/use><\/g><use xlink:href=\"#E5-MJMAIN-3D\" x=\"1663\" y=\"0\"><\/use><use xlink:href=\"#E5-MJMAIN-31\" x=\"2718\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">A_{ij}=1<\/script>\uff0c\u5728\u5b58\u5728\u6743\u91cd\u7684\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u5c06<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"3.217ex\" height=\"2.694ex\" viewBox=\"0 -806.1 1385.3 1160\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.822ex;\"><defs><path stroke-width=\"0\" id=\"E6-MJMATHI-41\" d=\"M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z\"><\/path><path stroke-width=\"0\" id=\"E6-MJMATHI-69\" d=\"M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z\"><\/path><path stroke-width=\"0\" id=\"E6-MJMATHI-6A\" d=\"M297 596Q297 627 318 644T361 661Q378 661 389 651T403 623Q403 595 384 576T340 557Q322 557 310 567T297 596ZM288 376Q288 405 262 405Q240 405 220 393T185 362T161 325T144 293L137 279Q135 278 121 278H107Q101 284 101 286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 -91T53 -71Q70 -71 82 -81T95 -112Q95 -148 63 -167Q69 -168 77 -168Q111 -168 139 -140T182 -74L193 -32Q204 11 219 72T251 197T278 308T289 365Q289 372 288 376Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E6-MJMATHI-41\" x=\"0\" y=\"0\"><\/use><g transform=\"translate(750,-150)\"><use transform=\"scale(0.707)\" xlink:href=\"#E6-MJMATHI-69\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E6-MJMATHI-6A\" x=\"345\" y=\"0\"><\/use><\/g><\/g><\/svg><\/span><script type=\"math\/tex\">A_{ij}<\/script>\u7684\u503c\u8bb0\u4f5c\u4e24\u8282\u70b9\u4e4b\u95f4\u8fb9\u7684\u6743\u91cd\u3002\u503c\u5f97\u6ce8\u610f\u7684\u662f\uff0c<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"2.018ex\" height=\"1.877ex\" viewBox=\"0 -755.9 869 808.1\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.121ex;\"><defs><path stroke-width=\"0\" id=\"E7-MJMAINB-41\" d=\"M296 0Q278 3 164 3Q58 3 49 0H40V62H92Q144 62 144 64Q388 682 397 689Q403 698 434 698Q463 698 471 689Q475 686 538 530T663 218L724 64Q724 62 776 62H828V0H817Q796 3 658 3Q509 3 485 0H472V62H517Q561 62 561 63L517 175H262L240 120Q218 65 217 64Q217 62 261 62H306V0H296ZM390 237L492 238L440 365Q390 491 388 491Q287 239 287 237H390Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E7-MJMAINB-41\" x=\"0\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">\\bold A<\/script>\u5bf9\u89d2\u7ebf\u4e0a\u7684\u503c\uff0c\u5373\u8282\u70b9\u4e4b\u95f4\u81ea\u8fde\u63a5\u7684\u7cfb\u6570\uff0c\u5728\u4e0d\u505a\u8003\u8651\u81ea\u8fde\u63a5\u65f6\u90fd\u88ab\u8bb0\u4f5c0\u3002<\/p>\n<p>\u53e6\u5916\uff0c\u6211\u4eec\u7279\u6b8a\u5b9a\u4e49\u8282\u70b9\u7684\u5ea6\u4e3a\u8be5\u70b9\u6240\u6709\u8fde\u63a5\u6743\u91cd\u4e4b\u548c\uff0c\u5373<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"12.199ex\" height=\"6.196ex\" viewBox=\"0 -1459.5 5252.5 2667.7\" role=\"img\" focusable=\"false\" style=\"vertical-align: -2.806ex;\"><defs><path stroke-width=\"0\" id=\"E8-MJMATHI-44\" d=\"M287 628Q287 635 230 637Q207 637 200 638T193 647Q193 655 197 667T204 682Q206 683 403 683Q570 682 590 682T630 676Q702 659 752 597T803 431Q803 275 696 151T444 3L430 1L236 0H125H72Q48 0 41 2T33 11Q33 13 36 25Q40 41 44 43T67 46Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628ZM703 469Q703 507 692 537T666 584T629 613T590 629T555 636Q553 636 541 636T512 636T479 637H436Q392 637 386 627Q384 623 313 339T242 52Q242 48 253 48T330 47Q335 47 349 47T373 46Q499 46 581 128Q617 164 640 212T683 339T703 469Z\"><\/path><path stroke-width=\"0\" id=\"E8-MJMATHI-69\" d=\"M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z\"><\/path><path stroke-width=\"0\" id=\"E8-MJMAIN-3D\" d=\"M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z\"><\/path><path stroke-width=\"0\" id=\"E8-MJSZ1-2211\" d=\"M61 748Q64 750 489 750H913L954 640Q965 609 976 579T993 533T999 516H979L959 517Q936 579 886 621T777 682Q724 700 655 705T436 710H319Q183 710 183 709Q186 706 348 484T511 259Q517 250 513 244L490 216Q466 188 420 134T330 27L149 -187Q149 -188 362 -188Q388 -188 436 -188T506 -189Q679 -189 778 -162T936 -43Q946 -27 959 6H999L913 -249L489 -250Q65 -250 62 -248Q56 -246 56 -239Q56 -234 118 -161Q186 -81 245 -11L428 206Q428 207 242 462L57 717L56 728Q56 744 61 748Z\"><\/path><path stroke-width=\"0\" id=\"E8-MJMATHI-6A\" d=\"M297 596Q297 627 318 644T361 661Q378 661 389 651T403 623Q403 595 384 576T340 557Q322 557 310 567T297 596ZM288 376Q288 405 262 405Q240 405 220 393T185 362T161 325T144 293L137 279Q135 278 121 278H107Q101 284 101 286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 -91T53 -71Q70 -71 82 -81T95 -112Q95 -148 63 -167Q69 -168 77 -168Q111 -168 139 -140T182 -74L193 -32Q204 11 219 72T251 197T278 308T289 365Q289 372 288 376Z\"><\/path><path stroke-width=\"0\" id=\"E8-MJMAIN-30\" d=\"M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z\"><\/path><path stroke-width=\"0\" id=\"E8-MJMATHI-6E\" d=\"M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z\"><\/path><path stroke-width=\"0\" id=\"E8-MJMATHI-41\" d=\"M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 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transform=\"translate(8999,0)\"><use xlink:href=\"#E17-MJMAINB-44\" x=\"0\" y=\"0\"><\/use><g transform=\"translate(882,412)\"><use transform=\"scale(0.707)\" xlink:href=\"#E17-MJMAIN-2212\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E17-MJMAIN-31\" x=\"778\" y=\"0\"><\/use><\/g><\/g><use xlink:href=\"#E17-MJMAINB-41\" x=\"10884\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">\\bold L^{sym} = \\bold D^{-1}\\bold L=\\bold I-\\bold D^{-1}\\bold A<\/script>\uff0c\u4e0d\u8fc7\u6211\u8fd8\u4e0d\u719f\uff0c\u6682\u65f6\u4e0d\u7ba1\u4e86<\/p>\n<h2>\u56fe\u7684\u9891\u57df\u8868\u793a<\/h2>\n<p>\u5176\u5b9e\u633a\u610f\u5916\u7684\uff0c\u65e9\u5728\u53bb\u5e74\u7684\u8fd9\u4e2a\u65f6\u5019\uff0c\u6211\u4e5f\u8003\u8651\u8fc7\u8fd9\u4e2a\u95ee\u9898\u3002\u5bf9\u56fe\u50cf\u7684\u77e9\u9635\u8fdb\u884c\u5947\u5f02\u503c\u5206\u89e3\uff0c\u901a\u8fc7\u5207\u9664\u90e8\u5206\u5947\u5f02\u503c\uff0c\u6211\u4eec\u53ef\u4ee5\u5bf9\u56fe\u50cf\u4e2d\u7684\u4f4e\u9891\u548c\u9ad8\u9891\u4fe1\u606f\u8fdb\u884c\u5b9a\u91cf\u7684\u526a\u5207\uff0c\u4f7f\u5f97\u51cf\u5c11\u50a8\u5b58\u4fe1\u606f\u7684\u540c\u65f6\u4e0d\u4e22\u5931\u5927\u90e8\u5206\u753b\u8d28\u3002\u8fd9\u6837\u7684\u7279\u6027\u662f\u4e0d\u662f\u540c\u4fe1\u53f7\u7684\u9891\u57df\u5206\u6790\uff0c\u5373\u5085\u91cc\u53f6\u53d8\u6362\u6709\u7740\u76f8\u4f3c\u4e4b\u5904\u3002\u5f53\u65f6\u7684\u6211\u5bfb\u904d\u4e86\u5168\u7f51\uff0c\u5e76\u6ca1\u6709\u5f97\u5230\u751a\u4e48\u7ed3\u679c\u3002\u800c\u5982\u4eca\uff0c\u6211\u5728\u505a\u56fe\u7684\u8c31\u5206\u6790\u3002<\/p>\n<p>\u4e3a\u4e86\u76f4\u89c2\u5730\u5bf9\u63cf\u8ff0\u4fe1\u53f7\u4f20\u64ad\u7684\u56fe\u8fdb\u884c\u76f4\u89c2\u7684\u201c\u5377\u79ef\u6ee4\u6ce2\uff08\u9700\u8981\u6ce8\u610f\u7684\u662f\uff0c\u8fd9\u91cc\u7684\u5377\u79ef\u5c31\u4e0d\u662f\u56fe\u50cf\u610f\u4e49\u4e0a\u7684\u5377\u79ef\u4e86\uff0c\u800c\u662f\u4fe1\u53f7\u610f\u4e49\u7684\u5377\u79ef\u3002\u4f46\u662f\u5728\u5b9e\u9645\u8fd0\u7528\u4e2d\u56fe\u7684\u5377\u79ef\u8868\u793a\u7684\u4e5f\u662f\u4fe1\u53f7\u5728\u76f8\u90bb\u56fe\u8282\u70b9\u4e0a\u7684\u4f20\u64ad\uff0c\u8fd9\u53c8\u4e0e\u56fe\u50cf\u7684\u5377\u79ef\u6709\u7740\u5f02\u66f2\u540c\u5de5\u4e4b\u5999\uff0c\u90a3\u4e48\u65b0\u7684\u95ee\u9898\u6765\u4e86\uff0c\u4fe1\u53f7\u5377\u79ef\u548c\u56fe\u50cf\u5377\u79ef\u662f\u5426\u4e5f\u5b58\u5728\u7740\u751a\u4e48\u7269\u7406\u5c42\u9762\u4e0a\u7684\u8054\u7cfb\uff1f\uff09\u201d\u6211\u4eec\u901a\u8fc7\u7279\u5f81\u5206\u89e3\uff0c\u83b7\u53d6\u56fe\u7684\u201c\u9891\u8c31\u201d\uff0c\u4ece\u8fd9\u8fb9\u5f00\u59cb\uff0c\u4fbf\u662fSpectral Graph Convolution\u7684\u601d\u60f3\u4e86\u3002<\/p>\n<p>\u6211\u4eec\u5c06L\u77e9\u9635\u8fdb\u884c\u7279\u5f81\u5206\u89e3\uff0c\u6709<\/p>\n<p><span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"12.198ex\" height=\"2.461ex\" viewBox=\"0 -956.9 5251.7 1059.4\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.238ex;\"><defs><path stroke-width=\"0\" id=\"E18-MJMAINB-4C\" d=\"M643 285Q641 280 629 148T612 4V0H39V62H147V624H39V686H51Q75 683 228 683Q415 685 425 686H439V624H304V62H352H378Q492 62 539 138Q551 156 558 178T569 214T576 255T581 289H643V285Z\"><\/path><path stroke-width=\"0\" id=\"E18-MJMAIN-3D\" d=\"M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z\"><\/path><path stroke-width=\"0\" id=\"E18-MJMAINB-55\" d=\"M570 686Q588 683 703 683T836 686H845V624H737V420Q737 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y=\"0\"><\/use><g transform=\"translate(2025,0)\"><use xlink:href=\"#E18-MJMAINB-55\" x=\"0\" y=\"0\"><\/use><use xlink:href=\"#E18-MJMAINB-39B\" x=\"885\" y=\"0\"><\/use><use xlink:href=\"#E18-MJMAINB-55\" x=\"1691\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E18-MJMAIN-22A4\" x=\"3643\" y=\"601\"><\/use><\/g><\/g><\/svg><\/span><script type=\"math\/tex\">\\bold L = \\bold{U\\Lambda U}^\\top<\/script>,\u5176\u4e2d\u7279\u5f81\u503c\u63cf\u8ff0\u7684\u662f\u56fe\u50cf\u7684\u9891\u8c31\u5f3a\u5ea6\uff0c\u800c\u7279\u5f81\u5411\u91cf\u63cf\u8ff0\u4e86\u5206\u89e3\u7684\u57fa\u5e95\uff0c\u5373\u9891\u7387\uff0c\u5bf9\u5e94\u9891\u8c31\u5206\u6790\u4e2d\u7684<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"4.883ex\" height=\"2.344ex\" viewBox=\"0 -906.7 2102.5 1009.2\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.238ex;\"><defs><path 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431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E19-MJMATHI-65\" x=\"0\" y=\"0\"><\/use><g transform=\"translate(466,362)\"><use transform=\"scale(0.707)\" xlink:href=\"#E19-MJMAIN-2212\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E19-MJMATHI-6A\" x=\"778\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E19-MJMATHI-3C9\" x=\"1189\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E19-MJMATHI-74\" x=\"1811\" y=\"0\"><\/use><\/g><\/g><\/svg><\/span><script type=\"math\/tex\">e^{-j\\omega 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xlink:href=\"#E21-MJMAIN-29\" x=\"1991\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">g_\\theta(\\Lambda)<\/script>\u4e3a\u7279\u5f81\u503c\u7684\u51fd\u6570\u3002\u6211\u4eec\u6709<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"2.11ex\" height=\"1.877ex\" viewBox=\"0 -504.6 908.6 808.1\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.705ex;\"><defs><path stroke-width=\"0\" id=\"E22-MJMATHI-67\" d=\"M311 43Q296 30 267 15T206 0Q143 0 105 45T66 160Q66 265 143 353T314 442Q361 442 401 394L404 398Q406 401 409 404T418 412T431 419T447 422Q461 422 470 413T480 394Q480 379 423 152T363 -80Q345 -134 286 -169T151 -205Q10 -205 10 -137Q10 -111 28 -91T74 -71Q89 -71 102 -80T116 -111Q116 -121 114 -130T107 -144T99 -154T92 -162L90 -164H91Q101 -167 151 -167Q189 -167 211 -155Q234 -144 254 -122T282 -75Q288 -56 298 -13Q311 35 311 43ZM384 328L380 339Q377 350 375 354T369 368T359 382T346 393T328 402T306 405Q262 405 221 352Q191 313 171 233T151 117Q151 38 213 38Q269 38 323 108L331 118L384 328Z\"><\/path><path stroke-width=\"0\" id=\"E22-MJMATHI-3B8\" d=\"M35 200Q35 302 74 415T180 610T319 704Q320 704 327 704T339 705Q393 701 423 656Q462 596 462 495Q462 380 417 261T302 66T168 -10H161Q125 -10 99 10T60 63T41 130T35 200ZM383 566Q383 668 330 668Q294 668 260 623T204 521T170 421T157 371Q206 370 254 370L351 371Q352 372 359 404T375 484T383 566ZM113 132Q113 26 166 26Q181 26 198 36T239 74T287 161T335 307L340 324H145Q145 321 136 286T120 208T113 132Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E22-MJMATHI-67\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E22-MJMATHI-3B8\" x=\"674\" y=\"-218\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">g_\\theta<\/script>\u5728\u56fe<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"1.607ex\" height=\"1.877ex\" viewBox=\"0 -755.9 692 808.1\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.121ex;\"><defs><path stroke-width=\"0\" id=\"E23-MJMAINB-4C\" d=\"M643 285Q641 280 629 148T612 4V0H39V62H147V624H39V686H51Q75 683 228 683Q415 685 425 686H439V624H304V62H352H378Q492 62 539 138Q551 156 558 178T569 214T576 255T581 289H643V285Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E23-MJMAINB-4C\" x=\"0\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">\\bold L<\/script>\u4e0a\u5bf9\u8f93\u5165\u4fe1\u53f7<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"1.329ex\" height=\"1.41ex\" viewBox=\"0 -504.6 572 607.1\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.238ex;\"><defs><path stroke-width=\"0\" id=\"E24-MJMATHI-78\" d=\"M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E24-MJMATHI-78\" x=\"0\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">x<\/script>\u7684\u5377\u79ef\u7b49\u4e8e<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"5.256ex\" height=\"2.461ex\" viewBox=\"0 -755.9 2262.8 1059.4\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.705ex;\"><defs><path stroke-width=\"0\" id=\"E25-MJMATHI-67\" d=\"M311 43Q296 30 267 15T206 0Q143 0 105 45T66 160Q66 265 143 353T314 442Q361 442 401 394L404 398Q406 401 409 404T418 412T431 419T447 422Q461 422 470 413T480 394Q480 379 423 152T363 -80Q345 -134 286 -169T151 -205Q10 -205 10 -137Q10 -111 28 -91T74 -71Q89 -71 102 -80T116 -111Q116 -121 114 -130T107 -144T99 -154T92 -162L90 -164H91Q101 -167 151 -167Q189 -167 211 -155Q234 -144 254 -122T282 -75Q288 -56 298 -13Q311 35 311 43ZM384 328L380 339Q377 350 375 354T369 368T359 382T346 393T328 402T306 405Q262 405 221 352Q191 313 171 233T151 117Q151 38 213 38Q269 38 323 108L331 118L384 328Z\"><\/path><path stroke-width=\"0\" id=\"E25-MJMATHI-3B8\" d=\"M35 200Q35 302 74 415T180 610T319 704Q320 704 327 704T339 705Q393 701 423 656Q462 596 462 495Q462 380 417 261T302 66T168 -10H161Q125 -10 99 10T60 63T41 130T35 200ZM383 566Q383 668 330 668Q294 668 260 623T204 521T170 421T157 371Q206 370 254 370L351 371Q352 372 359 404T375 484T383 566ZM113 132Q113 26 166 26Q181 26 198 36T239 74T287 161T335 307L340 324H145Q145 321 136 286T120 208T113 132Z\"><\/path><path stroke-width=\"0\" id=\"E25-MJMATHI-78\" d=\"M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E25-MJMATHI-67\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E25-MJMATHI-3B8\" x=\"674\" y=\"-218\"><\/use><g transform=\"translate(908,0)\"><text font-family=\"STIXGeneral,'Arial Unicode MS',serif\" stroke=\"none\" transform=\"scale(50.259) matrix(1 0 0 -1 0 0)\">\u3001<\/text><\/g><use xlink:href=\"#E25-MJMATHI-78\" x=\"1690\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">g_\\theta\u3001x<\/script>\u5728\u9891\u57df\u76f8\u4e58\uff1a<\/p>\n<p><span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"17.871ex\" height=\"2.928ex\" viewBox=\"0 -956.9 7694.4 1260.5\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.705ex;\"><defs><path stroke-width=\"0\" id=\"E26-MJMATHI-67\" d=\"M311 43Q296 30 267 15T206 0Q143 0 105 45T66 160Q66 265 143 353T314 442Q361 442 401 394L404 398Q406 401 409 404T418 412T431 419T447 422Q461 422 470 413T480 394Q480 379 423 152T363 -80Q345 -134 286 -169T151 -205Q10 -205 10 -137Q10 -111 28 -91T74 -71Q89 -71 102 -80T116 -111Q116 -121 114 -130T107 -144T99 -154T92 -162L90 -164H91Q101 -167 151 -167Q189 -167 211 -155Q234 -144 254 -122T282 -75Q288 -56 298 -13Q311 35 311 43ZM384 328L380 339Q377 350 375 354T369 368T359 382T346 393T328 402T306 405Q262 405 221 352Q191 313 171 233T151 117Q151 38 213 38Q269 38 323 108L331 118L384 328Z\"><\/path><path stroke-width=\"0\" id=\"E26-MJMATHI-3B8\" d=\"M35 200Q35 302 74 415T180 610T319 704Q320 704 327 704T339 705Q393 701 423 656Q462 596 462 495Q462 380 417 261T302 66T168 -10H161Q125 -10 99 10T60 63T41 130T35 200ZM383 566Q383 668 330 668Q294 668 260 623T204 521T170 421T157 371Q206 370 254 370L351 371Q352 372 359 404T375 484T383 566ZM113 132Q113 26 166 26Q181 26 198 36T239 74T287 161T335 307L340 324H145Q145 321 136 286T120 208T113 132Z\"><\/path><path stroke-width=\"0\" id=\"E26-MJMAIN-22C6\" d=\"M210 282Q210 284 225 381T241 480Q241 484 245 484Q249 486 251 486Q258 486 260 477T272 406Q275 390 276 380Q290 286 290 282L388 299Q484 314 487 314H488Q497 314 497 302Q497 297 434 266Q416 257 404 251L315 206L361 118Q372 98 383 75T401 40L407 28Q407 16 395 16Q394 16 392 16L390 17L250 159L110 17L108 16Q106 16 105 16Q93 16 93 28L99 40Q105 52 116 75T139 118L185 206L96 251Q6 296 4 300Q3 301 3 302Q3 314 12 314H13Q16 314 112 299L210 282Z\"><\/path><path stroke-width=\"0\" id=\"E26-MJMATHI-78\" d=\"M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z\"><\/path><path stroke-width=\"0\" id=\"E26-MJMAIN-3D\" d=\"M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z\"><\/path><path stroke-width=\"0\" id=\"E26-MJMAINB-55\" d=\"M570 686Q588 683 703 683T836 686H845V624H737V420Q737 390 737 345T738 284Q738 205 729 164T689 83Q614 -11 465 -11Q321 -11 240 51T148 207Q147 214 147 421V624H39V686H51Q75 683 226 683Q376 683 400 686H412V624H304V405V370V268Q304 181 311 146T346 87Q387 52 466 52Q642 52 667 195Q668 204 669 415V624H561V686H570Z\"><\/path><path stroke-width=\"0\" id=\"E26-MJMAIN-22A4\" d=\"M55 642T55 648T59 659T66 666T71 668H708Q723 660 723 648T708 628H409V15Q402 2 391 0Q387 0 384 1T379 3T375 6T373 9T371 13T369 16V628H71Q70 628 67 630T59 637Z\"><\/path><path stroke-width=\"0\" id=\"E26-MJMAINB-78\" d=\"M227 0Q212 3 121 3Q40 3 28 0H21V62H117L245 213L109 382H26V444H34Q49 441 143 441Q247 441 265 444H274V382H246L281 339Q315 297 316 297Q320 297 354 341L389 382H352V444H360Q375 441 466 441Q547 441 559 444H566V382H471L355 246L504 63L545 62H586V0H578Q563 3 469 3Q365 3 347 0H338V62H366Q366 63 326 112T285 163L198 63L217 62H235V0H227Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E26-MJMATHI-67\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E26-MJMATHI-3B8\" x=\"674\" y=\"-218\"><\/use><use xlink:href=\"#E26-MJMAIN-22C6\" x=\"1130\" y=\"0\"><\/use><use xlink:href=\"#E26-MJMATHI-78\" x=\"1853\" y=\"0\"><\/use><use xlink:href=\"#E26-MJMAIN-3D\" x=\"2702\" y=\"0\"><\/use><use xlink:href=\"#E26-MJMAINB-55\" x=\"3758\" y=\"0\"><\/use><g transform=\"translate(4643,0)\"><use xlink:href=\"#E26-MJMATHI-67\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E26-MJMATHI-3B8\" x=\"674\" y=\"-218\"><\/use><\/g><g transform=\"translate(5552,0)\"><use xlink:href=\"#E26-MJMAINB-55\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E26-MJMAIN-22A4\" x=\"1251\" y=\"584\"><\/use><\/g><use xlink:href=\"#E26-MJMAINB-78\" x=\"7087\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">g_\\theta\\star x=\\bold U g_\\theta\\bold U^\\top \\bold x<\/script><\/p>\n<p>\u5982\u6b64\uff0c\u6211\u4eec\u5b8c\u6210\u4e86\u5728\u56fe\u795e\u7ecf\u7f51\u7edc\u4e0a\u8fdb\u884c\u5206\u6790\u7684\u57fa\u7840\u3002<\/p>\n<p>\u4f46\u662f\u5728\u5b9e\u9645\u95ee\u9898\u4e0b\uff0c\u8fd9\u6837\u7684\u56fe\u662f\u6781\u96be\u8ba1\u7b97\u7684\uff0c\u5f53\u6211\u4eec\u7684\u8282\u70b9\u89c4\u6a21\u8f83\u5927\u65f6\uff0c\u5bf9N<sup>2<\/sup>\u89c4\u6a21\u7684\u56fe\u8fdb\u884c\u77e9\u9635\u5206\u89e3\uff0c\u5e76\u4e14\u8fdb\u884c\u591a\u6b21\u77e9\u9635\u4e58\u6cd5\u9700\u8981\u6d88\u8017\u6781\u5927\u7684\u8d44\u6e90\uff0c\u8fd9\u4f7f\u5f97\u56fe\u7f51\u7edc\u5f88\u96be\u8fd0\u884c\u3002\u56e0\u6b64\u7eb5\u4f7f\u56fe\u7f51\u7edc\u6709\u7740\u5176\u7279\u6b8a\u7684\u6027\u8d28\uff0c\u5176\u70ed\u5ea6\u4e00\u76f4\u4e0d\u662f\u5f88\u9ad8\u3002<\/p>\n<h2>ChebNet<\/h2>\n<p>ChebNet\u7684\u5f15\u5165\u662f\u5f53\u4eca\u795e\u7ecf\u7f51\u7edc\u5927\u70ed\u95e8\u7684\u5f00\u7aef\uff0c\u4e5f\u662f\u56fe\u5377\u79ef\u7f51\u7edc\u7684\u57fa\u7840\u3002\u5176\u601d\u8def\u4e3a\uff0c\u4f7f\u7528\u5207\u6bd4\u96ea\u592b\u591a\u9879\u5f0f\u5bf9\u5377\u79ef\u8fc7\u7a0bK\u9636\u62df\u5408(<a href='https:\/\/zhuanlan.zhihu.com\/p\/138420723' target=\"_blank\" rel=\"nofollow\" >\u53c2\u8003<\/a>)<\/p>\n<p>ChebNet\u5047\u8bbe<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"2.11ex\" height=\"1.877ex\" viewBox=\"0 -504.6 908.6 808.1\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.705ex;\"><defs><path stroke-width=\"0\" id=\"E22-MJMATHI-67\" d=\"M311 43Q296 30 267 15T206 0Q143 0 105 45T66 160Q66 265 143 353T314 442Q361 442 401 394L404 398Q406 401 409 404T418 412T431 419T447 422Q461 422 470 413T480 394Q480 379 423 152T363 -80Q345 -134 286 -169T151 -205Q10 -205 10 -137Q10 -111 28 -91T74 -71Q89 -71 102 -80T116 -111Q116 -121 114 -130T107 -144T99 -154T92 -162L90 -164H91Q101 -167 151 -167Q189 -167 211 -155Q234 -144 254 -122T282 -75Q288 -56 298 -13Q311 35 311 43ZM384 328L380 339Q377 350 375 354T369 368T359 382T346 393T328 402T306 405Q262 405 221 352Q191 313 171 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width=\"1.612ex\" height=\"1.994ex\" viewBox=\"0 -806.1 694 858.4\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.121ex;\"><defs><path stroke-width=\"0\" id=\"E104-MJMAIN-39B\" d=\"M320 708Q326 716 340 716H348H355Q367 716 372 708Q374 706 423 547T523 226T575 62Q581 52 591 50T634 46H661V0H653Q644 3 532 3Q411 3 390 0H379V46H392Q464 46 464 65Q463 70 390 305T316 539L246 316Q177 95 177 84Q177 72 198 59T248 46H253V0H245Q230 3 130 3Q47 3 38 0H32V46H45Q112 51 127 91Q128 92 224 399T320 708Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E104-MJMAIN-39B\" x=\"0\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">\\Lambda<\/script>\u7684\u6ee4\u6ce2\u7ed3\u679c\u662f\u539f\u59cb\u7279\u5f81\u503c\u591a\u9879\u5f0f\u51fd\u6570\uff0c\u800c\u7f51\u7edc\u7684\u76ee\u7684\u662f\u629b\u5f03\u539f\u672c\u901a\u8fc7\u77e9\u9635\u76f8\u4e58\u6765\u5bf9\u5377\u79ef\u7ed3\u679c\u8fdb\u884c\u6c42\u89e3\uff0c\u800c\u901a\u8fc7\u53c2\u6570\u5b66\u4e60\u6765\u5bf9\u7ed3\u679c\u8fdb\u884c\u8868\u793a\uff0c\u7ed9\u51fa\u4e0b\u5f0f<\/p>\n<p><span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"66.232ex\" height=\"10.282ex\" viewBox=\"0 -2464.7 28516.6 4426.8\" role=\"img\" focusable=\"false\" style=\"vertical-align: -4.557ex;\"><defs><path stroke-width=\"0\" id=\"E52-MJMATHI-67\" d=\"M311 43Q296 30 267 15T206 0Q143 0 105 45T66 160Q66 265 143 353T314 442Q361 442 401 394L404 398Q406 401 409 404T418 412T431 419T447 422Q461 422 470 413T480 394Q480 379 423 152T363 -80Q345 -134 286 -169T151 -205Q10 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xlink:href=\"#E52-MJSZ1-2211\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E52-MJMATHI-4B\" x=\"1493\" y=\"674\"><\/use><g transform=\"translate(1056,-286)\"><use transform=\"scale(0.707)\" xlink:href=\"#E52-MJMATHI-6B\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E52-MJMAIN-3D\" x=\"521\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E52-MJMAIN-31\" x=\"1299\" y=\"0\"><\/use><\/g><g transform=\"translate(2594,0)\"><use xlink:href=\"#E52-MJMATHI-3B2\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E52-MJMATHI-6B\" x=\"800\" y=\"-213\"><\/use><\/g><g transform=\"translate(3629,0)\"><use xlink:href=\"#E52-MJMATHI-54\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E52-MJMATHI-6B\" x=\"825\" y=\"-213\"><\/use><\/g><use xlink:href=\"#E52-MJMAIN-28\" x=\"4681\" y=\"0\"><\/use><g transform=\"translate(5070,0)\"><use xlink:href=\"#E52-MJMATHI-3BB\" x=\"0\" y=\"0\"><\/use><use xlink:href=\"#E52-MJMAIN-5E\" x=\"41\" y=\"238\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E52-MJMATHI-6E\" x=\"824\" y=\"-213\"><\/use><\/g><use xlink:href=\"#E52-MJMAIN-29\" x=\"6177\" y=\"0\"><\/use><\/g><\/g><\/g><g transform=\"translate(17424,2403)\"><use xlink:href=\"#E52-MJSZ4-239E\" x=\"0\" y=\"-1154\"><\/use><g transform=\"translate(0,-2533.1751841570817) scale(1,1.2691396461591502)\"><use xlink:href=\"#E52-MJSZ4-239F\"><\/use><\/g><use xlink:href=\"#E52-MJSZ4-23A0\" x=\"0\" y=\"-3663\"><\/use><\/g><\/g><\/g><\/svg><\/span><script type=\"math\/tex\">\\displaystyle g_\\theta(\\Lambda)=\\sum_{k=0}^K\\beta_kT_k(\\hat\\Lambda)=\\left( \\begin{matrix} \\sum_{k=1}^{K}\\beta_kT_k(\\hat \\lambda_1)& & \\\\ & ...& \\\\ & & \\sum_{k=1}^{K}\\beta_kT_k(\\hat \\lambda_n)\\end{matrix} \\right)<\/script><\/p>\n<p>\u5176\u4e2d\u6709\u5207\u6bd4\u96ea\u592b\u591a\u9879\u5f0f\u5728\u77e9\u9635\u4e0a\u7684\u8868\u793a\uff0c\u5177\u4f53\u6570\u5b66\u80cc\u666f\u53ef\u4ee5\u8be6\u7ec6\u67e5\u770b<\/p>\n<p><span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"30.765ex\" height=\"9.231ex\" viewBox=\"0 -806.1 13246.2 3974.5\" role=\"img\" focusable=\"false\" style=\"vertical-align: -7.359ex;\"><defs><path stroke-width=\"0\" id=\"E77-MJMATHI-54\" d=\"M40 437Q21 437 21 445Q21 450 37 501T71 602L88 651Q93 669 101 677H569H659Q691 677 697 676T704 667Q704 661 687 553T668 444Q668 437 649 437Q640 437 637 437T631 442L629 445Q629 451 635 490T641 551Q641 586 628 604T573 629Q568 630 515 631Q469 631 457 630T439 622Q438 621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 619 339 625Q339 630 310 630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 441T43 437H40Z\"><\/path><path stroke-width=\"0\" id=\"E77-MJMAIN-30\" d=\"M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z\"><\/path><path stroke-width=\"0\" id=\"E77-MJMAIN-28\" d=\"M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z\"><\/path><path stroke-width=\"0\" id=\"E77-MJMATHI-4C\" d=\"M228 637Q194 637 192 641Q191 643 191 649Q191 673 202 682Q204 683 217 683Q271 680 344 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stroke-width=\"0\" id=\"E77-MJMATHI-49\" d=\"M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z\"><\/path><path stroke-width=\"0\" id=\"E77-MJMAIN-31\" d=\"M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z\"><\/path><path stroke-width=\"0\" id=\"E77-MJMATHI-6E\" d=\"M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z\"><\/path><path stroke-width=\"0\" id=\"E77-MJMAIN-2B\" d=\"M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z\"><\/path><path stroke-width=\"0\" id=\"E77-MJMAIN-32\" d=\"M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z\"><\/path><path stroke-width=\"0\" id=\"E77-MJMAIN-2212\" d=\"M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E77-MJMATHI-54\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E77-MJMAIN-30\" x=\"825\" y=\"-213\"><\/use><use xlink:href=\"#E77-MJMAIN-28\" x=\"1037\" y=\"0\"><\/use><use xlink:href=\"#E77-MJMATHI-4C\" x=\"1426\" y=\"0\"><\/use><use xlink:href=\"#E77-MJMAIN-29\" x=\"2107\" y=\"0\"><\/use><use xlink:href=\"#E77-MJMAIN-3D\" x=\"2774\" y=\"0\"><\/use><use xlink:href=\"#E77-MJMATHI-49\" x=\"3830\" y=\"0\"><\/use><g transform=\"translate(0,-1431)\"><use xlink:href=\"#E77-MJMATHI-54\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E77-MJMAIN-31\" x=\"825\" y=\"-213\"><\/use><use xlink:href=\"#E77-MJMAIN-28\" x=\"1037\" y=\"0\"><\/use><use xlink:href=\"#E77-MJMATHI-4C\" x=\"1426\" y=\"0\"><\/use><use xlink:href=\"#E77-MJMAIN-29\" x=\"2107\" y=\"0\"><\/use><use xlink:href=\"#E77-MJMAIN-3D\" x=\"2774\" y=\"0\"><\/use><use xlink:href=\"#E77-MJMATHI-4C\" x=\"3830\" y=\"0\"><\/use><\/g><g transform=\"translate(0,-2862)\"><use xlink:href=\"#E77-MJMATHI-54\" x=\"0\" y=\"0\"><\/use><g transform=\"translate(584,-150)\"><use transform=\"scale(0.707)\" xlink:href=\"#E77-MJMATHI-6E\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E77-MJMAIN-2B\" x=\"600\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E77-MJMAIN-31\" x=\"1378\" y=\"0\"><\/use><\/g><use xlink:href=\"#E77-MJMAIN-28\" x=\"2011\" y=\"0\"><\/use><use xlink:href=\"#E77-MJMATHI-4C\" x=\"2400\" y=\"0\"><\/use><use xlink:href=\"#E77-MJMAIN-29\" x=\"3081\" y=\"0\"><\/use><use xlink:href=\"#E77-MJMAIN-3D\" x=\"3748\" y=\"0\"><\/use><use xlink:href=\"#E77-MJMAIN-32\" x=\"4804\" y=\"0\"><\/use><use xlink:href=\"#E77-MJMATHI-4C\" x=\"5304\" y=\"0\"><\/use><g transform=\"translate(5985,0)\"><use xlink:href=\"#E77-MJMATHI-54\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E77-MJMATHI-6E\" x=\"825\" y=\"-213\"><\/use><\/g><use xlink:href=\"#E77-MJMAIN-28\" x=\"7093\" y=\"0\"><\/use><use xlink:href=\"#E77-MJMATHI-4C\" x=\"7482\" y=\"0\"><\/use><use xlink:href=\"#E77-MJMAIN-29\" x=\"8163\" y=\"0\"><\/use><use xlink:href=\"#E77-MJMAIN-2212\" x=\"8774\" y=\"0\"><\/use><g transform=\"translate(9775,0)\"><use xlink:href=\"#E77-MJMATHI-54\" x=\"0\" y=\"0\"><\/use><g transform=\"translate(584,-150)\"><use transform=\"scale(0.707)\" xlink:href=\"#E77-MJMATHI-6E\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E77-MJMAIN-2212\" x=\"600\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E77-MJMAIN-31\" x=\"1378\" y=\"0\"><\/use><\/g><\/g><use xlink:href=\"#E77-MJMAIN-28\" x=\"11787\" y=\"0\"><\/use><use xlink:href=\"#E77-MJMATHI-4C\" x=\"12176\" y=\"0\"><\/use><use xlink:href=\"#E77-MJMAIN-29\" x=\"12857\" y=\"0\"><\/use><\/g><\/g><\/svg><\/span><script type=\"math\/tex\">T_0(L) = I\\\\ T_1(L)=L\\\\ T_{n+1}(L)=2LT_n(L) - T_{n-1}(L) <\/script><\/p>\n<p>\u6709<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"2.402ex\" height=\"2.461ex\" viewBox=\"0 -806.1 1034.4 1059.4\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.588ex;\"><defs><path stroke-width=\"0\" id=\"E117-MJMATHI-3B2\" d=\"M29 -194Q23 -188 23 -186Q23 -183 102 134T186 465Q208 533 243 584T309 658Q365 705 429 705H431Q493 705 533 667T573 570Q573 465 469 396L482 383Q533 332 533 252Q533 139 448 65T257 -10Q227 -10 203 -2T165 17T143 40T131 59T126 65L62 -188Q60 -194 42 -194H29ZM353 431Q392 431 427 419L432 422Q436 426 439 429T449 439T461 453T472 471T484 495T493 524T501 560Q503 569 503 593Q503 611 502 616Q487 667 426 667Q384 667 347 643T286 582T247 514T224 455Q219 439 186 308T152 168Q151 163 151 147Q151 99 173 68Q204 26 260 26Q302 26 349 51T425 137Q441 171 449 214T457 279Q457 337 422 372Q380 358 347 358H337Q258 358 258 389Q258 396 261 403Q275 431 353 431Z\"><\/path><path stroke-width=\"0\" id=\"E117-MJMATHI-6B\" d=\"M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E117-MJMATHI-3B2\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E117-MJMATHI-6B\" x=\"800\" y=\"-213\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">\\beta_k<\/script>\u4e3a\u7f51\u7edc\u7684\u5f85\u5b66\u4e60\u53c2\u6570<\/p>\n<p>\u6211\u4eec\u5c06\u539f\u5f0f<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"17.871ex\" height=\"2.928ex\" viewBox=\"0 -956.9 7694.4 1260.5\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.705ex;\"><defs><path stroke-width=\"0\" id=\"E26-MJMATHI-67\" d=\"M311 43Q296 30 267 15T206 0Q143 0 105 45T66 160Q66 265 143 353T314 442Q361 442 401 394L404 398Q406 401 409 404T418 412T431 419T447 422Q461 422 470 413T480 394Q480 379 423 152T363 -80Q345 -134 286 -169T151 -205Q10 -205 10 -137Q10 -111 28 -91T74 -71Q89 -71 102 -80T116 -111Q116 -121 114 -130T107 -144T99 -154T92 -162L90 -164H91Q101 -167 151 -167Q189 -167 211 -155Q234 -144 254 -122T282 -75Q288 -56 298 -13Q311 35 311 43ZM384 328L380 339Q377 350 375 354T369 368T359 382T346 393T328 402T306 405Q262 405 221 352Q191 313 171 233T151 117Q151 38 213 38Q269 38 323 108L331 118L384 328Z\"><\/path><path stroke-width=\"0\" id=\"E26-MJMATHI-3B8\" d=\"M35 200Q35 302 74 415T180 610T319 704Q320 704 327 704T339 705Q393 701 423 656Q462 596 462 495Q462 380 417 261T302 66T168 -10H161Q125 -10 99 10T60 63T41 130T35 200ZM383 566Q383 668 330 668Q294 668 260 623T204 521T170 421T157 371Q206 370 254 370L351 371Q352 372 359 404T375 484T383 566ZM113 132Q113 26 166 26Q181 26 198 36T239 74T287 161T335 307L340 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71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z\"><\/path><path stroke-width=\"0\" id=\"E26-MJMAIN-3D\" d=\"M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z\"><\/path><path stroke-width=\"0\" id=\"E26-MJMAINB-55\" d=\"M570 686Q588 683 703 683T836 686H845V624H737V420Q737 390 737 345T738 284Q738 205 729 164T689 83Q614 -11 465 -11Q321 -11 240 51T148 207Q147 214 147 421V624H39V686H51Q75 683 226 683Q376 683 400 686H412V624H304V405V370V268Q304 181 311 146T346 87Q387 52 466 52Q642 52 667 195Q668 204 669 415V624H561V686H570Z\"><\/path><path stroke-width=\"0\" id=\"E26-MJMAIN-22A4\" d=\"M55 642T55 648T59 659T66 666T71 668H708Q723 660 723 648T708 628H409V15Q402 2 391 0Q387 0 384 1T379 3T375 6T373 9T371 13T369 16V628H71Q70 628 67 630T59 637Z\"><\/path><path stroke-width=\"0\" id=\"E26-MJMAINB-78\" d=\"M227 0Q212 3 121 3Q40 3 28 0H21V62H117L245 213L109 382H26V444H34Q49 441 143 441Q247 441 265 444H274V382H246L281 339Q315 297 316 297Q320 297 354 341L389 382H352V444H360Q375 441 466 441Q547 441 559 444H566V382H471L355 246L504 63L545 62H586V0H578Q563 3 469 3Q365 3 347 0H338V62H366Q366 63 326 112T285 163L198 63L217 62H235V0H227Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E26-MJMATHI-67\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E26-MJMATHI-3B8\" x=\"674\" y=\"-218\"><\/use><use xlink:href=\"#E26-MJMAIN-22C6\" x=\"1130\" y=\"0\"><\/use><use xlink:href=\"#E26-MJMATHI-78\" x=\"1853\" y=\"0\"><\/use><use xlink:href=\"#E26-MJMAIN-3D\" x=\"2702\" y=\"0\"><\/use><use xlink:href=\"#E26-MJMAINB-55\" x=\"3758\" y=\"0\"><\/use><g transform=\"translate(4643,0)\"><use xlink:href=\"#E26-MJMATHI-67\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E26-MJMATHI-3B8\" x=\"674\" y=\"-218\"><\/use><\/g><g transform=\"translate(5552,0)\"><use xlink:href=\"#E26-MJMAINB-55\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E26-MJMAIN-22A4\" x=\"1251\" y=\"584\"><\/use><\/g><use xlink:href=\"#E26-MJMAINB-78\" x=\"7087\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">g_\\theta\\star x=\\bold U g_\\theta\\bold U^\\top \\bold x<\/script>\u8868\u793a\u4e3a\u62df\u5408\u5f62\u5f0f<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"21.71ex\" height=\"3.278ex\" viewBox=\"0 -1057.4 9347.4 1411.3\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.822ex;\"><defs><path stroke-width=\"0\" id=\"E127-MJMAINB-55\" d=\"M570 686Q588 683 703 683T836 686H845V624H737V420Q737 390 737 345T738 284Q738 205 729 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transform=\"translate(11622,0)\"><use xlink:href=\"#E464-MJMATHI-3B2\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E464-MJMATHI-6B\" x=\"800\" y=\"-213\"><\/use><\/g><g transform=\"translate(12657,0)\"><use xlink:href=\"#E464-MJMATHI-54\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E464-MJMATHI-6B\" x=\"825\" y=\"-213\"><\/use><\/g><use xlink:href=\"#E464-MJMAIN-28\" x=\"13709\" y=\"0\"><\/use><g transform=\"translate(14098,0)\"><use xlink:href=\"#E464-MJMAINB-4C\" x=\"0\" y=\"0\"><\/use><use xlink:href=\"#E464-MJMAINB-5E\" x=\"58\" y=\"241\"><\/use><\/g><use xlink:href=\"#E464-MJMAIN-29\" x=\"14790\" y=\"0\"><\/use><use xlink:href=\"#E464-MJMAINB-78\" x=\"15179\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">g_\\theta\\star x=\\bold U g_\\theta\\bold U^\\top \\bold x=\\sum_{k=0}^{K}\\beta_kT_k(\\bold{\\hat L})\\bold x<\/script><\/p>\n<p>\u4f5c\u4e3aChebNet\u7684\u5377\u79ef\u7ed3\u6784<\/p>\n<p>\u5176\u4e2d\u503c\u5f97\u6ce8\u610f\u7684\u4e00\u70b9\u662f\uff0cChebNet\u7684K\u503c\u9650\u5236\u4e86\u5377\u79ef\u6838\u7684\u591a\u9879\u5f0f\u6b21\u6570\uff0c\u4f46\u662f\u8fd9\u91cc\u7684\u591a\u9879\u5f0f\u6b21\u6570\u63cf\u8ff0\u4e86\u4ec0\u4e48\u5462\uff1f\u5176\u5b9e\u5c31\u662f\u5377\u79ef\u7684\u201c\u8303\u56f4\u201d\uff0c\u5373\u5355\u6b21\u5377\u79ef\u5185\u6700\u9ad8\u53ef\u83b7\u5f97\u7684K\u9636\u76f8\u90bb\u8282\u70b9\u4fe1\u606f\u3002\u5728K=n\u7684\u65f6\u5019\uff0c\u6211\u4eec\u4ece\u7406\u8bba\u4e0a\u53ef\u4ee5\u901a\u8fc7\u5355\u6b21\u5377\u79ef\uff0c\u83b7\u53d6\u4e00\u5f20\u8fde\u901a\u56fe\u4e0a\u6240\u6709\u7ed3\u70b9\u7684\u4fe1\u606f\uff0c\u800c\u8fd9\u4e5f\u662f\u539f\u65b9\u6cd5\u96be\u4ee5\u8ba1\u7b97\u7684\u6839\u672c\u539f\u56e0\u3002<\/p>\n<p>\u5230\u8fd9\u91cc\u4e3a\u6b62\uff0c\u6211\u4ecb\u7ecd\u4e862018\u5e74GCN\u51fa\u73b0\u4e4b\u524d\u56fe\u7f51\u7edc\u7684\u57fa\u672c\u4f7f\u7528\uff0c\u5e76\u7ed9\u51fa\u4e86\u5bf9\u56fe\u7f51\u7edc\u7684\u57fa\u672c\u8ba4\u77e5\uff0c\u4e8e\u662f\uff0c\u6211\u4eec\u62e5\u6709\u4e86\u76f8\u5bf9\u5145\u5206\u7684\u5de5\u5177\u53bb\u8ba4\u8bc6\u56fe\u7f51\u7edc\u8fd1\u671f\u7684\u53d1\u5c55\uff0c\u4ee5\u53ca\u66f4\u6df1\u5c42\u6b21\u7684\u4f7f\u7528\u3002let\u2018s getting start\uff01<\/p>\n<\/body>\n<\/html>\n","protected":false},"excerpt":{"rendered":"<p>\u56fe\u7f51\u7edc\u7565\u8ff0 \u5176\u5b9e\u5f00\u59cb\u51b2\u56fe\u795e\u7ecf\u7f51\u7edc\u4e5f\u5df2\u7ecf\u6709\u4e00\u6bb5\u65f6\u95f4\u4e86\uff0c\u4ece\u534a\u5e74\u524d\u9605\u89c8\u300aRelational inductive biases, dee …<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"emotion":"","emotion_color":"","title_style":"","license":"","footnotes":""},"categories":[41,11],"tags":[43,40,42],"class_list":["post-250","post","type-post","status-publish","format-standard","hentry","category-ai","category-11","tag-gnn","tag-40","tag-42"],"_links":{"self":[{"href":"http:\/\/blog.cyasylum.top\/index.php\/wp-json\/wp\/v2\/posts\/250","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/blog.cyasylum.top\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/blog.cyasylum.top\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/blog.cyasylum.top\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/blog.cyasylum.top\/index.php\/wp-json\/wp\/v2\/comments?post=250"}],"version-history":[{"count":3,"href":"http:\/\/blog.cyasylum.top\/index.php\/wp-json\/wp\/v2\/posts\/250\/revisions"}],"predecessor-version":[{"id":253,"href":"http:\/\/blog.cyasylum.top\/index.php\/wp-json\/wp\/v2\/posts\/250\/revisions\/253"}],"wp:attachment":[{"href":"http:\/\/blog.cyasylum.top\/index.php\/wp-json\/wp\/v2\/media?parent=250"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/blog.cyasylum.top\/index.php\/wp-json\/wp\/v2\/categories?post=250"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/blog.cyasylum.top\/index.php\/wp-json\/wp\/v2\/tags?post=250"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}