{"id":2597,"date":"2023-01-06T18:05:12","date_gmt":"2023-01-06T17:05:12","guid":{"rendered":"https:\/\/ff.mhrooz.xyz\/?p=2597"},"modified":"2023-01-06T18:05:12","modified_gmt":"2023-01-06T17:05:12","slug":"clustering_-_probabilistic_model-based_methods_2","status":"publish","type":"post","link":"https:\/\/blog.mhrooz.xyz\/index.php\/2023\/01\/06\/clustering_-_probabilistic_model-based_methods_2\/","title":{"rendered":"Clustering &#8211; Probabilistic Model-Based Methods (2)"},"content":{"rendered":"\n<!doctype html>\n<html>\n<head>\n<meta charset='UTF-8'><meta name='viewport' content='width=device-width initial-scale=1'>\n\n<link href='https:\/\/fonts.loli.net\/css?family=PT+Serif:400,400italic,700,700italic&#038;subset=latin,cyrillic-ext,cyrillic,latin-ext' rel='stylesheet' type='text\/css' \/><style type='text\/css'>html {overflow-x: initial !important;}:root { --bg-color: #ffffff; --text-color: #333333; --select-text-bg-color: #B5D6FC; --select-text-font-color: auto; --monospace: 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0;\n\t\t\t\t\t\t} @media print { @page {margin: 0 0 0 0;} body.typora-export {padding-left: 0; padding-right: 0;} #write {padding:0;}}\n<\/style><title>4_2_probabilistic_Model_based_methods_2<\/title>\n<\/head>\n<body class='typora-export'><div class='typora-export-content'>\n<div id='write'  class=''><p class=\"md-toc-content\" role=\"list\"><span role=\"listitem\" class=\"md-toc-item md-toc-h1\" data-ref=\"n148\"><a class=\"md-toc-inner\" href=\"#clustering---probabilistic-model-based-methods-2\">Clustering &#8211; Probabilistic Model-Based Methods (2)<\/a><\/span><span role=\"listitem\" class=\"md-toc-item md-toc-h3\" data-ref=\"n152\"><a class=\"md-toc-inner\" href=\"#21-\u6700\u5927\u4f3c\u7136\">2.1 \u6700\u5927\u4f3c\u7136<\/a><\/span><span role=\"listitem\" class=\"md-toc-item md-toc-h3\" data-ref=\"n161\"><a class=\"md-toc-inner\" href=\"#22-\u7528\u4e8e\u9ad8\u65af\u6df7\u5408\u6a21\u578b\u7684em\">2.2 \u7528\u4e8e\u9ad8\u65af\u6df7\u5408\u6a21\u578b\u7684EM<\/a><\/span><\/p><\/div><p><span>\u524d\u4e00\u7bc7\u6211\u4eec\u5df2\u7ecf\u5c06\u9690\u53d8\u91cf\u7684\u5148\u9a8c\u6982\u7387\uff0c\u9690\u53d8\u91cf\u7684\u540e\u9a8c\u6982\u7387\uff0c\u548c\u6837\u672c\u7684\u8054\u5408\u6982\u7387\u90fd\u8868\u793a\u51fa\u6765\u4e86\uff0c\u8fd9\u4e00\u8282\u6211\u4eec\u6765\u8be6\u7ec6\u770b\u4e00\u4e0bEM\u7b97\u6cd5\u3002<\/span><\/p><h3 id='21-\u6700\u5927\u4f3c\u7136'><span>2.1 \u6700\u5927\u4f3c\u7136<\/span><\/h3><p><span>\u5047\u8bbe\u73b0\u5728\u7684\u6570\u636e\u96c6\u8868\u793a\u4e3a<\/span><mjx-container class=\"MathJax\" jax=\"SVG\" style=\"position: relative;\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"13.74ex\" height=\"1.443ex\" role=\"img\" focusable=\"false\" viewBox=\"0 -444 6073 638\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" aria-hidden=\"true\" style=\"vertical-align: -0.439ex;\"><defs><path id=\"MJX-1189-TEX-B-1D431\" d=\"M227 0Q212 3 121 3Q40 3 28 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xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mrow data-mjx-texclass=\"ORD\"><mi mathvariant=\"bold\">X<\/mi><\/mrow><\/math><\/mjx-assistive-mml><\/mjx-container><script type=\"math\/tex\">\\mathbf{X}<\/script><span>\u6765\u8868\u793a\u8fd9\u4e2a\u6570\u636e\u96c6\u3002\u5047\u8bbe\u6bcf\u4e2a\u6570\u636e\u7684\u7ef4\u5ea6\u662f<\/span><mjx-container class=\"MathJax\" jax=\"SVG\" style=\"position: relative;\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"1.873ex\" height=\"1.545ex\" role=\"img\" focusable=\"false\" viewBox=\"0 -683 828 683\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" aria-hidden=\"true\" style=\"vertical-align: 0px;\"><defs><path id=\"MJX-1087-TEX-I-1D437\" 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 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height=\"1.361ex\" role=\"img\" focusable=\"false\" viewBox=\"0 -444 934 601.8\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" aria-hidden=\"true\" style=\"vertical-align: -0.357ex;\"><defs><path id=\"MJX-1191-TEX-B-1D431\" 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><path id=\"MJX-1191-TEX-I-1D456\" 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><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"scale(1,-1)\"><g data-mml-node=\"math\"><g data-mml-node=\"msub\"><g data-mml-node=\"TeXAtom\" data-mjx-texclass=\"ORD\"><g data-mml-node=\"mi\"><use data-c=\"1D431\" xlink:href=\"#MJX-1191-TEX-B-1D431\"><\/use><\/g><\/g><g data-mml-node=\"mi\" transform=\"translate(640,-150) scale(0.707)\"><use data-c=\"1D456\" xlink:href=\"#MJX-1191-TEX-I-1D456\"><\/use><\/g><\/g><\/g><\/g><\/svg><mjx-assistive-mml unselectable=\"on\" display=\"inline\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><msub><mrow data-mjx-texclass=\"ORD\"><mi mathvariant=\"bold\">x<\/mi><\/mrow><mi>i<\/mi><\/msub><\/math><\/mjx-assistive-mml><\/mjx-container><script type=\"math\/tex\">\\mathbf{x}_i<\/script><span>\uff0c\u77e9\u9635\u5c31\u4e00\u5171\u6709<\/span><mjx-container class=\"MathJax\" jax=\"SVG\" style=\"position: relative;\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"2.009ex\" height=\"1.545ex\" role=\"img\" focusable=\"false\" viewBox=\"0 -683 888 683\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" aria-hidden=\"true\" style=\"vertical-align: 0px;\"><defs><path id=\"MJX-1195-TEX-I-1D441\" d=\"M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"scale(1,-1)\"><g data-mml-node=\"math\"><g data-mml-node=\"mi\"><use data-c=\"1D441\" xlink:href=\"#MJX-1195-TEX-I-1D441\"><\/use><\/g><\/g><\/g><\/svg><mjx-assistive-mml unselectable=\"on\" display=\"inline\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>N<\/mi><\/math><\/mjx-assistive-mml><\/mjx-container><script type=\"math\/tex\">N<\/script><span>\u884c\u77e9\u9635\uff0c\u8fd9\u6837\u8fd9\u4e2a\u77e9\u9635\u7684\u89c4\u6a21\u5c31\u662f<\/span><mjx-container class=\"MathJax\" jax=\"SVG\" style=\"position: relative;\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"6.648ex\" height=\"1.545ex\" role=\"img\" focusable=\"false\" viewBox=\"0 -683 2938.4 683\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" aria-hidden=\"true\" style=\"vertical-align: 0px;\"><defs><path id=\"MJX-1193-TEX-I-1D441\" d=\"M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z\"><\/path><path id=\"MJX-1193-TEX-N-D7\" d=\"M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z\"><\/path><path id=\"MJX-1193-TEX-I-1D437\" 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><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"scale(1,-1)\"><g data-mml-node=\"math\"><g data-mml-node=\"mi\"><use data-c=\"1D441\" xlink:href=\"#MJX-1193-TEX-I-1D441\"><\/use><\/g><g data-mml-node=\"mo\" transform=\"translate(1110.2,0)\"><use data-c=\"D7\" xlink:href=\"#MJX-1193-TEX-N-D7\"><\/use><\/g><g data-mml-node=\"mi\" transform=\"translate(2110.4,0)\"><use data-c=\"1D437\" xlink:href=\"#MJX-1193-TEX-I-1D437\"><\/use><\/g><\/g><\/g><\/svg><mjx-assistive-mml unselectable=\"on\" display=\"inline\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>N<\/mi><mo>\u00d7<\/mo><mi>D<\/mi><\/math><\/mjx-assistive-mml><\/mjx-container><script type=\"math\/tex\">N\\times D<\/script><span>\u7684\u3002\u6211\u4eec\u518d\u628a\u9690\u53d8\u91cf<\/span><mjx-container class=\"MathJax\" jax=\"SVG\" style=\"position: relative;\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"1.156ex\" height=\"1.005ex\" role=\"img\" focusable=\"false\" viewBox=\"0 -444 511 444\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" aria-hidden=\"true\" style=\"vertical-align: 0px;\"><defs><path id=\"MJX-1172-TEX-B-1D433\" d=\"M48 262Q48 264 54 349T60 436V444H252Q289 444 336 444T394 445Q441 445 450 441T459 418Q459 406 458 404Q456 399 327 229T194 55H237Q260 56 268 56T297 58T325 65T348 77T370 98T384 128T395 170Q400 197 400 216Q400 217 431 217H462V211Q461 208 453 108T444 6V0H245Q46 0 43 2Q32 7 32 28V33Q32 41 40 52T84 112Q129 170 164 217L298 393H256Q189 392 165 380Q124 360 115 303Q110 280 110 256Q110 254 79 254H48V262Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"scale(1,-1)\"><g data-mml-node=\"math\"><g data-mml-node=\"TeXAtom\" data-mjx-texclass=\"ORD\"><g data-mml-node=\"mi\"><use data-c=\"1D433\" xlink:href=\"#MJX-1172-TEX-B-1D433\"><\/use><\/g><\/g><\/g><\/g><\/svg><mjx-assistive-mml unselectable=\"on\" display=\"inline\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mrow data-mjx-texclass=\"ORD\"><mi mathvariant=\"bold\">z<\/mi><\/mrow><\/math><\/mjx-assistive-mml><\/mjx-container><script type=\"math\/tex\">\\mathbf{z}<\/script><span>\u4e5f\u8fd9\u6837\u8868\u793a\u51fa\u6765\uff0c\u6bcf\u4e2a\u6570\u636e\u5bf9\u5e94\u4e00\u6761\u9690\u53d8\u91cf\uff0c\u5047\u8bbe\u9690\u53d8\u91cf\u7684\u957f\u5ea6\u662f<\/span><mjx-container class=\"MathJax\" jax=\"SVG\" style=\"position: relative;\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"2.011ex\" height=\"1.545ex\" role=\"img\" focusable=\"false\" viewBox=\"0 -683 889 683\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" aria-hidden=\"true\" style=\"vertical-align: 0px;\"><defs><path id=\"MJX-1146-TEX-I-1D43E\" d=\"M285 628Q285 635 228 637Q205 637 198 638T191 647Q191 649 193 661Q199 681 203 682Q205 683 214 683H219Q260 681 355 681Q389 681 418 681T463 682T483 682Q500 682 500 674Q500 669 497 660Q496 658 496 654T495 648T493 644T490 641T486 639T479 638T470 637T456 637Q416 636 405 634T387 623L306 305Q307 305 490 449T678 597Q692 611 692 620Q692 635 667 637Q651 637 651 648Q651 650 654 662T659 677Q662 682 676 682Q680 682 711 681T791 680Q814 680 839 681T869 682Q889 682 889 672Q889 650 881 642Q878 637 862 637Q787 632 726 586Q710 576 656 534T556 455L509 418L518 396Q527 374 546 329T581 244Q656 67 661 61Q663 59 666 57Q680 47 717 46H738Q744 38 744 37T741 19Q737 6 731 0H720Q680 3 625 3Q503 3 488 0H478Q472 6 472 9T474 27Q478 40 480 43T491 46H494Q544 46 544 71Q544 75 517 141T485 216L427 354L359 301L291 248L268 155Q245 63 245 58Q245 51 253 49T303 46H334Q340 37 340 35Q340 19 333 5Q328 0 317 0Q314 0 280 1T180 2Q118 2 85 2T49 1Q31 1 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q147 65 216 339T285 628Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"scale(1,-1)\"><g data-mml-node=\"math\"><g data-mml-node=\"mi\"><use data-c=\"1D43E\" xlink:href=\"#MJX-1146-TEX-I-1D43E\"><\/use><\/g><\/g><\/g><\/svg><mjx-assistive-mml unselectable=\"on\" display=\"inline\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>K<\/mi><\/math><\/mjx-assistive-mml><\/mjx-container><script type=\"math\/tex\">K<\/script><span>\uff0c\u90a3\u4e48\u9690\u53d8\u91cf\u77e9\u9635\u7684\u89c4\u6a21\u5c31\u662f<\/span><mjx-container class=\"MathJax\" jax=\"SVG\" style=\"position: relative;\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"6.786ex\" height=\"1.545ex\" role=\"img\" focusable=\"false\" viewBox=\"0 -683 2999.4 683\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" aria-hidden=\"true\" style=\"vertical-align: 0px;\"><defs><path id=\"MJX-1194-TEX-I-1D441\" d=\"M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z\"><\/path><path id=\"MJX-1194-TEX-N-D7\" d=\"M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z\"><\/path><path id=\"MJX-1194-TEX-I-1D43E\" d=\"M285 628Q285 635 228 637Q205 637 198 638T191 647Q191 649 193 661Q199 681 203 682Q205 683 214 683H219Q260 681 355 681Q389 681 418 681T463 682T483 682Q500 682 500 674Q500 669 497 660Q496 658 496 654T495 648T493 644T490 641T486 639T479 638T470 637T456 637Q416 636 405 634T387 623L306 305Q307 305 490 449T678 597Q692 611 692 620Q692 635 667 637Q651 637 651 648Q651 650 654 662T659 677Q662 682 676 682Q680 682 711 681T791 680Q814 680 839 681T869 682Q889 682 889 672Q889 650 881 642Q878 637 862 637Q787 632 726 586Q710 576 656 534T556 455L509 418L518 396Q527 374 546 329T581 244Q656 67 661 61Q663 59 666 57Q680 47 717 46H738Q744 38 744 37T741 19Q737 6 731 0H720Q680 3 625 3Q503 3 488 0H478Q472 6 472 9T474 27Q478 40 480 43T491 46H494Q544 46 544 71Q544 75 517 141T485 216L427 354L359 301L291 248L268 155Q245 63 245 58Q245 51 253 49T303 46H334Q340 37 340 35Q340 19 333 5Q328 0 317 0Q314 0 280 1T180 2Q118 2 85 2T49 1Q31 1 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q147 65 216 339T285 628Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"scale(1,-1)\"><g data-mml-node=\"math\"><g data-mml-node=\"mi\"><use data-c=\"1D441\" xlink:href=\"#MJX-1194-TEX-I-1D441\"><\/use><\/g><g data-mml-node=\"mo\" transform=\"translate(1110.2,0)\"><use data-c=\"D7\" xlink:href=\"#MJX-1194-TEX-N-D7\"><\/use><\/g><g data-mml-node=\"mi\" transform=\"translate(2110.4,0)\"><use data-c=\"1D43E\" xlink:href=\"#MJX-1194-TEX-I-1D43E\"><\/use><\/g><\/g><\/g><\/svg><mjx-assistive-mml unselectable=\"on\" display=\"inline\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>N<\/mi><mo>\u00d7<\/mo><mi>K<\/mi><\/math><\/mjx-assistive-mml><\/mjx-container><script type=\"math\/tex\">N\\times K<\/script><span>\u3002<\/span><\/p><p><span>\u4f5c\u4e3a\u4e00\u4e2a\u751f\u6210\u6a21\u578b\uff0c\u6211\u4eec\u53ef\u4ee5\u628a\u9ad8\u65af\u6df7\u5408\u6a21\u578b\u7684\u6982\u7387\u56fe\u8868\u793a\u51fa\u6765\uff1a<\/span><\/p><p><img decoding=\"async\" src=\"https:\/\/raw.githubusercontent.com\/Mhrooz\/pics\/master\/uPic\/image-20230106103056512_01_06_10_30.png\" alt=\"image-20230106103056512\" style=\"zoom:33%;\" \/><\/p><p><span>\u6765\u6e90\uff1aPattern Recognition and Machine Learning P433 \u8868\u793a<\/span><mjx-container class=\"MathJax\" jax=\"SVG\" style=\"position: relative;\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"2.009ex\" height=\"1.545ex\" role=\"img\" focusable=\"false\" viewBox=\"0 -683 888 683\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" aria-hidden=\"true\" style=\"vertical-align: 0px;\"><defs><path id=\"MJX-1195-TEX-I-1D441\" d=\"M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"scale(1,-1)\"><g data-mml-node=\"math\"><g data-mml-node=\"mi\"><use data-c=\"1D441\" xlink:href=\"#MJX-1195-TEX-I-1D441\"><\/use><\/g><\/g><\/g><\/svg><mjx-assistive-mml unselectable=\"on\" display=\"inline\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>N<\/mi><\/math><\/mjx-assistive-mml><\/mjx-container><script 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