{"id":479495,"date":"2023-08-09T10:40:54","date_gmt":"2023-08-09T10:40:54","guid":{"rendered":""},"modified":"2023-09-05T11:18:56","modified_gmt":"2023-09-05T11:18:56","slug":"vapnik-chervonenkis-vc-dimension","status":"publish","type":"wiki","link":"https:\/\/oneproxy.pro\/jp\/wiki\/vapnik-chervonenkis-vc-dimension\/","title":{"rendered":"\u30f4\u30a1\u30d7\u30cb\u30af\u30fb\u30c1\u30a7\u30eb\u30f4\u30a9\u30cd\u30f3\u30ad\u30b9\uff08VC\uff09\u6b21\u5143"},"content":{"rendered":"

Vapnik-Chervonenkis (VC) \u6b21\u5143\u306f\u3001\u8a08\u7b97\u5b66\u7fd2\u7406\u8ad6\u3068\u7d71\u8a08\u5b66\u306b\u304a\u3051\u308b\u57fa\u672c\u7684\u306a\u6982\u5ff5\u3067\u3042\u308a\u3001\u4eee\u8aac\u30af\u30e9\u30b9\u307e\u305f\u306f\u5b66\u7fd2\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u80fd\u529b\u3092\u5206\u6790\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u6a5f\u68b0\u5b66\u7fd2\u30e2\u30c7\u30eb\u306e\u4e00\u822c\u5316\u80fd\u529b\u3092\u7406\u89e3\u3059\u308b\u4e0a\u3067\u91cd\u8981\u306a\u5f79\u5272\u3092\u679c\u305f\u3057\u3001\u4eba\u5de5\u77e5\u80fd\u3001\u30d1\u30bf\u30fc\u30f3\u8a8d\u8b58\u3001\u30c7\u30fc\u30bf\u30de\u30a4\u30cb\u30f3\u30b0\u306a\u3069\u306e\u5206\u91ce\u3067\u5e83\u304f\u4f7f\u7528\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001Vapnik-Chervonenkis \u6b21\u5143\u306e\u6b74\u53f2\u3001\u8a73\u7d30\u3001\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u3001\u304a\u3088\u3073\u5c06\u6765\u306e\u5c55\u671b\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u8aac\u660e\u3057\u307e\u3059\u3002<\/p>\n

\u30f4\u30a1\u30d7\u30cb\u30af\u30fb\u30c1\u30a7\u30eb\u30f4\u30a9\u30cd\u30f3\u30ad\u30b9\uff08VC\uff09\u6b21\u5143\u306e\u8d77\u6e90\u3068\u305d\u306e\u6700\u521d\u306e\u8a00\u53ca\u306e\u6b74\u53f2<\/h2>\n

VC \u6b21\u5143\u306e\u6982\u5ff5\u306f\u30011970 \u5e74\u4ee3\u521d\u982d\u306b Vladimir Vapnik \u3068 Alexey Chervonenkis \u306b\u3088\u3063\u3066\u521d\u3081\u3066\u5c0e\u5165\u3055\u308c\u307e\u3057\u305f\u3002\u4e21\u7814\u7a76\u8005\u306f\u30bd\u30d3\u30a8\u30c8\u9023\u90a6\u306e\u5236\u5fa1\u79d1\u5b66\u7814\u7a76\u6240\u306b\u6240\u5c5e\u3057\u3066\u304a\u308a\u3001\u5f7c\u3089\u306e\u7814\u7a76\u306f\u7d71\u8a08\u5b66\u7fd2\u7406\u8ad6\u306e\u57fa\u790e\u3092\u7bc9\u304d\u307e\u3057\u305f\u3002\u3053\u306e\u6982\u5ff5\u306f\u5f53\u521d\u3001\u30c7\u30fc\u30bf \u30dd\u30a4\u30f3\u30c8\u304c 2 \u3064\u306e\u30af\u30e9\u30b9\u306e\u3044\u305a\u308c\u304b\u306b\u5206\u985e\u3055\u308c\u308b\u30d0\u30a4\u30ca\u30ea\u5206\u985e\u554f\u984c\u306e\u30b3\u30f3\u30c6\u30ad\u30b9\u30c8\u3067\u958b\u767a\u3055\u308c\u307e\u3057\u305f\u3002<\/p>\n

VC \u6b21\u5143\u306b\u3064\u3044\u3066\u306e\u6700\u521d\u306e\u8a00\u53ca\u306f\u30011971 \u5e74\u306b Vapnik \u3068 Chervonenkis \u304c\u767a\u8868\u3057\u305f\u300c\u30a4\u30d9\u30f3\u30c8\u306e\u76f8\u5bfe\u983b\u5ea6\u3068\u305d\u306e\u78ba\u7387\u306e\u5747\u4e00\u53ce\u675f\u306b\u3064\u3044\u3066\u300d\u3068\u3044\u3046\u72ec\u5275\u7684\u306a\u8ad6\u6587\u3067\u898b\u3089\u308c\u307e\u3057\u305f\u3002\u3053\u306e\u8ad6\u6587\u3067\u306f\u3001\u5b66\u7fd2\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u304c\u9078\u629e\u3067\u304d\u308b\u4e00\u9023\u306e\u53ef\u80fd\u306a\u30e2\u30c7\u30eb\u3067\u3042\u308b\u4eee\u8aac\u30af\u30e9\u30b9\u306e\u8907\u96d1\u3055\u306e\u5c3a\u5ea6\u3068\u3057\u3066 VC \u6b21\u5143\u304c\u5c0e\u5165\u3055\u308c\u307e\u3057\u305f\u3002<\/p>\n

Vapnik-Chervonenkis (VC) \u6b21\u5143\u306b\u95a2\u3059\u308b\u8a73\u7d30\u60c5\u5831: \u30c8\u30d4\u30c3\u30af\u306e\u62e1\u5f35<\/h2>\n

Vapnik-Chervonenkis (VC) \u6b21\u5143\u306f\u3001\u4eee\u8aac\u30af\u30e9\u30b9\u304c\u30c7\u30fc\u30bf \u30dd\u30a4\u30f3\u30c8\u3092\u7c89\u7815\u3059\u308b\u80fd\u529b\u3092\u5b9a\u91cf\u5316\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u308b\u6982\u5ff5\u3067\u3059\u3002\u4eee\u8aac\u30af\u30e9\u30b9\u306f\u3001\u30c7\u30fc\u30bf \u30dd\u30a4\u30f3\u30c8\u3092\u3042\u3089\u3086\u308b\u53ef\u80fd\u306a\u65b9\u6cd5\u3067\u5206\u985e\u3067\u304d\u308b\u5834\u5408\u3001\u3064\u307e\u308a\u3001\u30c7\u30fc\u30bf \u30dd\u30a4\u30f3\u30c8\u306e\u30d0\u30a4\u30ca\u30ea \u30e9\u30d9\u30eb\u4ed8\u3051\u306b\u5bfe\u3057\u3066\u3001\u5404\u30dd\u30a4\u30f3\u30c8\u3092\u9069\u5207\u306b\u5206\u985e\u3059\u308b\u30e2\u30c7\u30eb\u304c\u4eee\u8aac\u30af\u30e9\u30b9\u5185\u306b\u5b58\u5728\u3059\u308b\u5834\u5408\u3001\u30c7\u30fc\u30bf \u30dd\u30a4\u30f3\u30c8\u306e\u30bb\u30c3\u30c8\u3092\u7c89\u7815\u3059\u308b\u3068\u8a00\u308f\u308c\u307e\u3059\u3002<\/p>\n

\u4eee\u8aac\u30af\u30e9\u30b9\u306e VC \u6b21\u5143\u306f\u3001\u30af\u30e9\u30b9\u304c\u5206\u89e3\u3067\u304d\u308b\u30c7\u30fc\u30bf \u30dd\u30a4\u30f3\u30c8\u306e\u6700\u5927\u6570\u3067\u3059\u3002\u8a00\u3044\u63db\u3048\u308b\u3068\u3001\u4eee\u8aac\u30af\u30e9\u30b9\u304c\u5b8c\u5168\u306b\u5206\u96e2\u3067\u304d\u308b\u3088\u3046\u306b\u3001\u3042\u3089\u3086\u308b\u65b9\u6cd5\u3067\u914d\u7f6e\u3067\u304d\u308b\u30dd\u30a4\u30f3\u30c8\u306e\u6700\u5927\u6570\u3092\u8868\u3057\u307e\u3059\u3002<\/p>\n

VC \u6b21\u5143\u306f\u3001\u5b66\u7fd2\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u4e00\u822c\u5316\u80fd\u529b\u306b\u5927\u304d\u306a\u5f71\u97ff\u3092\u4e0e\u3048\u307e\u3059\u3002\u4eee\u8aac\u30af\u30e9\u30b9\u306e VC \u6b21\u5143\u304c\u5c0f\u3055\u3044\u5834\u5408\u3001\u305d\u306e\u30af\u30e9\u30b9\u306f\u30c8\u30ec\u30fc\u30cb\u30f3\u30b0 \u30c7\u30fc\u30bf\u304b\u3089\u672a\u77e5\u306e\u30c7\u30fc\u30bf\u306b\u3046\u307e\u304f\u4e00\u822c\u5316\u3055\u308c\u308b\u53ef\u80fd\u6027\u304c\u9ad8\u304f\u306a\u308a\u3001\u904e\u5270\u9069\u5408\u306e\u30ea\u30b9\u30af\u304c\u8efd\u6e1b\u3055\u308c\u307e\u3059\u3002\u4e00\u65b9\u3001VC \u6b21\u5143\u304c\u5927\u304d\u3044\u5834\u5408\u3001\u30e2\u30c7\u30eb\u304c\u30c8\u30ec\u30fc\u30cb\u30f3\u30b0 \u30c7\u30fc\u30bf\u5185\u306e\u30ce\u30a4\u30ba\u3092\u8a18\u61b6\u3059\u308b\u53ef\u80fd\u6027\u304c\u3042\u308b\u305f\u3081\u3001\u904e\u5270\u9069\u5408\u306e\u30ea\u30b9\u30af\u304c\u9ad8\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n

\u30f4\u30a1\u30d7\u30cb\u30af\u30fb\u30c1\u30a7\u30eb\u30f4\u30a9\u30cd\u30f3\u30ad\u30b9\uff08VC\uff09\u6b21\u5143\u306e\u5185\u90e8\u69cb\u9020\uff1a\u305d\u306e\u4ed5\u7d44\u307f<\/h2>\n

VC \u30c7\u30a3\u30e1\u30f3\u30b7\u30e7\u30f3\u304c\u3069\u306e\u3088\u3046\u306b\u6a5f\u80fd\u3059\u308b\u304b\u3092\u7406\u89e3\u3059\u308b\u305f\u3081\u306b\u3001\u30c7\u30fc\u30bf \u30dd\u30a4\u30f3\u30c8\u306e\u30bb\u30c3\u30c8\u3092\u4f7f\u7528\u3057\u305f\u30d0\u30a4\u30ca\u30ea\u5206\u985e\u306e\u554f\u984c\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u76ee\u6a19\u306f\u3001\u30c7\u30fc\u30bf \u30dd\u30a4\u30f3\u30c8\u3092 2 \u3064\u306e\u30af\u30e9\u30b9\u306b\u6b63\u3057\u304f\u5206\u985e\u3067\u304d\u308b\u4eee\u8aac (\u30e2\u30c7\u30eb) \u3092\u898b\u3064\u3051\u308b\u3053\u3068\u3067\u3059\u3002\u7c21\u5358\u306a\u4f8b\u3068\u3057\u3066\u306f\u3001\u7279\u5b9a\u306e\u7279\u5fb4\u306b\u57fa\u3065\u3044\u3066\u96fb\u5b50\u30e1\u30fc\u30eb\u3092\u30b9\u30d1\u30e0\u304b\u975e\u30b9\u30d1\u30e0\u304b\u306b\u5206\u985e\u3059\u308b\u3053\u3068\u304c\u6319\u3052\u3089\u308c\u307e\u3059\u3002<\/p>\n

VC \u6b21\u5143\u306f\u3001\u4eee\u8aac\u30af\u30e9\u30b9\u306b\u3088\u3063\u3066\u5206\u89e3\u3067\u304d\u308b\u30c7\u30fc\u30bf \u30dd\u30a4\u30f3\u30c8\u306e\u6700\u5927\u6570\u306b\u3088\u3063\u3066\u6c7a\u307e\u308a\u307e\u3059\u3002\u4eee\u8aac\u30af\u30e9\u30b9\u306e VC \u6b21\u5143\u304c\u4f4e\u3044\u5834\u5408\u3001\u305d\u308c\u306f\u904e\u5270\u9069\u5408\u3059\u308b\u3053\u3068\u306a\u304f\u3001\u5e83\u7bc4\u56f2\u306e\u5165\u529b\u30d1\u30bf\u30fc\u30f3\u3092\u52b9\u7387\u7684\u306b\u51e6\u7406\u3067\u304d\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002\u9006\u306b\u3001VC \u6b21\u5143\u304c\u9ad8\u3044\u5834\u5408\u3001\u4eee\u8aac\u30af\u30e9\u30b9\u304c\u8907\u96d1\u3059\u304e\u3066\u904e\u5270\u9069\u5408\u306b\u306a\u308a\u3084\u3059\u3044\u53ef\u80fd\u6027\u304c\u3042\u308b\u3053\u3068\u3092\u793a\u3057\u307e\u3059\u3002<\/p>\n

Vapnik-Chervonenkis (VC)\u6b21\u5143\u306e\u4e3b\u8981\u306a\u7279\u5fb4\u306e\u5206\u6790<\/h2>\n

VC \u30c7\u30a3\u30e1\u30f3\u30b7\u30e7\u30f3\u306f\u3001\u3044\u304f\u3064\u304b\u306e\u91cd\u8981\u306a\u6a5f\u80fd\u3068\u6d1e\u5bdf\u3092\u63d0\u4f9b\u3057\u307e\u3059\u3002<\/p>\n

    \n
  1. \n

    \u5bb9\u91cf\u6e2c\u5b9a<\/strong>: \u3053\u308c\u306f\u4eee\u8aac\u30af\u30e9\u30b9\u306e\u5bb9\u91cf\u5c3a\u5ea6\u3068\u3057\u3066\u6a5f\u80fd\u3057\u3001\u30af\u30e9\u30b9\u304c\u30c7\u30fc\u30bf\u306b\u9069\u5408\u3059\u308b\u969b\u306e\u8868\u73fe\u529b\u3092\u793a\u3059\u3082\u306e\u3067\u3059\u3002<\/p>\n<\/li>\n

  2. \n

    \u4e00\u822c\u5316\u9650\u754c<\/strong>: VC \u6b21\u5143\u306f\u5b66\u7fd2\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u4e00\u822c\u5316\u30a8\u30e9\u30fc\u306b\u95a2\u4fc2\u3057\u3066\u3044\u307e\u3059\u3002VC \u6b21\u5143\u304c\u5c0f\u3055\u3044\u307b\u3069\u3001\u4e00\u822c\u5316\u30d1\u30d5\u30a9\u30fc\u30de\u30f3\u30b9\u304c\u5411\u4e0a\u3059\u308b\u3053\u3068\u304c\u3088\u304f\u3042\u308a\u307e\u3059\u3002<\/p>\n<\/li>\n

  3. \n

    \u30e2\u30c7\u30eb\u306e\u9078\u629e<\/strong>: VC \u30c7\u30a3\u30e1\u30f3\u30b7\u30e7\u30f3\u3092\u7406\u89e3\u3059\u308b\u3068\u3001\u3055\u307e\u3056\u307e\u306a\u30bf\u30b9\u30af\u306b\u9069\u5207\u306a\u30e2\u30c7\u30eb \u30a2\u30fc\u30ad\u30c6\u30af\u30c1\u30e3\u3092\u9078\u629e\u3059\u308b\u306e\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002<\/p>\n<\/li>\n

  4. \n

    \u30aa\u30c3\u30ab\u30e0\u306e\u304b\u307f\u305d\u308a<\/strong>: VC \u30c7\u30a3\u30e1\u30f3\u30b7\u30e7\u30f3\u306f\u3001\u30c7\u30fc\u30bf\u306b\u9069\u5408\u3059\u308b\u6700\u3082\u5358\u7d14\u306a\u30e2\u30c7\u30eb\u3092\u9078\u629e\u3059\u308b\u3053\u3068\u3092\u63d0\u6848\u3059\u308b\u30aa\u30c3\u30ab\u30e0\u306e\u5243\u5200\u306e\u539f\u7406\u3092\u30b5\u30dd\u30fc\u30c8\u3057\u307e\u3059\u3002<\/p>\n<\/li>\n<\/ol>\n

    Vapnik-Chervonenkis (VC) \u6b21\u5143\u306e\u7a2e\u985e<\/h2>\n

    VC \u30c7\u30a3\u30e1\u30f3\u30b7\u30e7\u30f3\u306f\u6b21\u306e\u30bf\u30a4\u30d7\u306b\u5206\u985e\u3067\u304d\u307e\u3059\u3002<\/p>\n

      \n
    1. \n

      \u7c89\u7815\u53ef\u80fd\u306a\u30bb\u30c3\u30c8<\/strong>\u30c7\u30fc\u30bf \u30dd\u30a4\u30f3\u30c8\u306e\u30bb\u30c3\u30c8\u306f\u3001\u305d\u306e\u30dd\u30a4\u30f3\u30c8\u306e\u3059\u3079\u3066\u306e\u53ef\u80fd\u306a\u30d0\u30a4\u30ca\u30ea \u30e9\u30d9\u30eb\u4ed8\u3051\u304c\u4eee\u8aac\u30af\u30e9\u30b9\u306b\u3088\u3063\u3066\u5b9f\u73fe\u3067\u304d\u308b\u5834\u5408\u3001\u7c89\u7815\u53ef\u80fd\u3067\u3042\u308b\u3068\u8a00\u308f\u308c\u307e\u3059\u3002<\/p>\n<\/li>\n

    2. \n

      \u6210\u9577\u95a2\u6570<\/strong>\u6210\u9577\u95a2\u6570\u306f\u3001\u4e0e\u3048\u3089\u308c\u305f\u6570\u306e\u30c7\u30fc\u30bf \u30dd\u30a4\u30f3\u30c8\u306b\u5bfe\u3057\u3066\u4eee\u8aac\u30af\u30e9\u30b9\u304c\u9054\u6210\u3067\u304d\u308b\u7570\u306a\u308b\u4e8c\u5206\u6cd5 (\u30d0\u30a4\u30ca\u30ea \u30e9\u30d9\u30eb\u4ed8\u3051) \u306e\u6700\u5927\u6570\u3092\u8868\u3057\u307e\u3059\u3002<\/p>\n<\/li>\n

    3. \n

      \u30d6\u30ec\u30fc\u30af\u30dd\u30a4\u30f3\u30c8<\/strong>: \u30d6\u30ec\u30fc\u30af\u30dd\u30a4\u30f3\u30c8\u306f\u3001\u3059\u3079\u3066\u306e\u4e8c\u5206\u6cd5\u3092\u5b9f\u73fe\u3067\u304d\u308b\u30dd\u30a4\u30f3\u30c8\u306e\u6700\u5927\u6570\u3067\u3059\u304c\u3001\u30dd\u30a4\u30f3\u30c8\u3092 1 \u3064\u8ffd\u52a0\u3059\u308b\u3060\u3051\u3067\u3001\u5c11\u306a\u304f\u3068\u3082 1 \u3064\u306e\u4e8c\u5206\u6cd5\u3092\u5b9f\u73fe\u3067\u304d\u306a\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/li>\n<\/ol>\n

      \u3055\u307e\u3056\u307e\u306a\u30bf\u30a4\u30d7\u3092\u3088\u308a\u3088\u304f\u7406\u89e3\u3059\u308b\u306b\u306f\u3001\u6b21\u306e\u4f8b\u3092\u691c\u8a0e\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n

      \u4f8b<\/strong>: \u76f4\u7dda\u3092\u63cf\u3044\u3066\u30c7\u30fc\u30bf \u30dd\u30a4\u30f3\u30c8\u3092\u5206\u96e2\u3059\u308b 2D \u7a7a\u9593\u306e\u7dda\u5f62\u5206\u985e\u5668\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u30c7\u30fc\u30bf \u30dd\u30a4\u30f3\u30c8\u304c\u3001\u30e9\u30d9\u30eb\u4ed8\u3051\u306b\u95a2\u4fc2\u306a\u304f\u3001\u305d\u308c\u3089\u3092\u5206\u96e2\u3067\u304d\u308b\u7dda\u304c\u5e38\u306b\u5b58\u5728\u3059\u308b\u3088\u3046\u306a\u65b9\u6cd5\u3067\u914d\u7f6e\u3055\u308c\u3066\u3044\u308b\u5834\u5408\u3001\u4eee\u8aac\u30af\u30e9\u30b9\u306e\u30d6\u30ec\u30fc\u30af\u30dd\u30a4\u30f3\u30c8\u306f 0 \u306b\u306a\u308a\u307e\u3059\u3002\u30e9\u30d9\u30eb\u4ed8\u3051\u306b\u3088\u3063\u3066\u306f\u3001\u305d\u308c\u3089\u3092\u5206\u96e2\u3067\u304d\u308b\u7dda\u304c\u5b58\u5728\u3057\u306a\u3044\u3088\u3046\u306a\u65b9\u6cd5\u3067\u30dd\u30a4\u30f3\u30c8\u3092\u914d\u7f6e\u3067\u304d\u308b\u5834\u5408\u3001\u4eee\u8aac\u30af\u30e9\u30b9\u306f\u30dd\u30a4\u30f3\u30c8 \u30bb\u30c3\u30c8\u3092\u7c89\u7815\u3059\u308b\u3068\u8a00\u308f\u308c\u307e\u3059\u3002<\/p>\n

      Vapnik-Chervonenkis\uff08VC\uff09\u6b21\u5143\u306e\u4f7f\u7528\u65b9\u6cd5\u3001\u4f7f\u7528\u306b\u95a2\u9023\u3059\u308b\u554f\u984c\u3068\u305d\u306e\u89e3\u6c7a\u7b56<\/h2>\n

      VC \u30c7\u30a3\u30e1\u30f3\u30b7\u30e7\u30f3\u306f\u3001\u6a5f\u68b0\u5b66\u7fd2\u3084\u30d1\u30bf\u30fc\u30f3\u8a8d\u8b58\u306e\u3055\u307e\u3056\u307e\u306a\u5206\u91ce\u3067\u5fdc\u7528\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u305d\u306e\u7528\u9014\u306b\u306f\u6b21\u306e\u3088\u3046\u306a\u3082\u306e\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n

        \n
      1. \n

        \u30e2\u30c7\u30eb\u306e\u9078\u629e<\/strong>: VC \u6b21\u5143\u306f\u3001\u7279\u5b9a\u306e\u5b66\u7fd2\u30bf\u30b9\u30af\u306b\u5bfe\u3057\u3066\u9069\u5207\u306a\u30e2\u30c7\u30eb\u306e\u8907\u96d1\u3055\u3092\u9078\u629e\u3059\u308b\u306e\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002\u9069\u5207\u306a VC \u6b21\u5143\u3092\u6301\u3064\u4eee\u8aac\u30af\u30e9\u30b9\u3092\u9078\u629e\u3059\u308b\u3053\u3068\u3067\u3001\u904e\u5270\u9069\u5408\u3092\u56de\u907f\u3057\u3001\u4e00\u822c\u5316\u3092\u5411\u4e0a\u3055\u305b\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<\/li>\n

      2. \n

        \u5883\u754c\u4e00\u822c\u5316\u30a8\u30e9\u30fc<\/strong>VC \u6b21\u5143\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u30c8\u30ec\u30fc\u30cb\u30f3\u30b0 \u30b5\u30f3\u30d7\u30eb\u306e\u6570\u306b\u57fa\u3065\u3044\u3066\u5b66\u7fd2\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u4e00\u822c\u5316\u8aa4\u5dee\u306e\u5883\u754c\u3092\u5c0e\u51fa\u3067\u304d\u307e\u3059\u3002<\/p>\n<\/li>\n

      3. \n

        \u69cb\u9020\u7684\u30ea\u30b9\u30af\u306e\u6700\u5c0f\u5316<\/strong>VC \u6b21\u5143\u306f\u69cb\u9020\u30ea\u30b9\u30af\u6700\u5c0f\u5316\u306b\u304a\u3051\u308b\u91cd\u8981\u306a\u6982\u5ff5\u3067\u3042\u308a\u3001\u7d4c\u9a13\u7684\u8aa4\u5dee\u3068\u30e2\u30c7\u30eb\u306e\u8907\u96d1\u3055\u306e\u9593\u306e\u30c8\u30ec\u30fc\u30c9\u30aa\u30d5\u306e\u30d0\u30e9\u30f3\u30b9\u3092\u3068\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u308b\u539f\u5247\u3067\u3059\u3002<\/p>\n<\/li>\n

      4. \n

        \u30b5\u30dd\u30fc\u30c8\u30d9\u30af\u30bf\u30fc\u30de\u30b7\u30f3 (SVM)<\/strong>: \u4e00\u822c\u7684\u306a\u6a5f\u68b0\u5b66\u7fd2\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3067\u3042\u308b SVM \u306f\u3001VC \u6b21\u5143\u3092\u4f7f\u7528\u3057\u3066\u3001\u9ad8\u6b21\u5143\u306e\u7279\u5fb4\u7a7a\u9593\u3067\u6700\u9069\u306a\u5206\u96e2\u8d85\u5e73\u9762\u3092\u898b\u3064\u3051\u307e\u3059\u3002<\/p>\n<\/li>\n<\/ol>\n

        \u305f\u3060\u3057\u3001VC \u30c7\u30a3\u30e1\u30f3\u30b7\u30e7\u30f3\u306f\u8cb4\u91cd\u306a\u30c4\u30fc\u30eb\u3067\u3042\u308b\u4e00\u65b9\u3067\u3001\u3044\u304f\u3064\u304b\u306e\u8ab2\u984c\u3082\u5b58\u5728\u3057\u307e\u3059\u3002<\/p>\n

          \n
        1. \n

          \u8a08\u7b97\u306e\u8907\u96d1\u3055<\/strong>: \u8907\u96d1\u306a\u4eee\u8aac\u30af\u30e9\u30b9\u306e VC \u6b21\u5143\u3092\u8a08\u7b97\u3059\u308b\u3068\u3001\u8a08\u7b97\u30b3\u30b9\u30c8\u304c\u9ad8\u304f\u306a\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<\/li>\n

        2. \n

          \u975e\u30d0\u30a4\u30ca\u30ea\u5206\u985e<\/strong>VC \u6b21\u5143\u306f\u5f53\u521d\u3001\u30d0\u30a4\u30ca\u30ea\u5206\u985e\u554f\u984c\u7528\u306b\u958b\u767a\u3055\u308c\u305f\u305f\u3081\u3001\u30de\u30eb\u30c1\u30af\u30e9\u30b9\u554f\u984c\u306b\u62e1\u5f35\u3059\u308b\u306e\u306f\u96e3\u3057\u3044\u5834\u5408\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<\/li>\n

        3. \n

          \u30c7\u30fc\u30bf\u4f9d\u5b58\u6027<\/strong>: VC \u6b21\u5143\u306f\u30c7\u30fc\u30bf\u306e\u5206\u5e03\u306b\u4f9d\u5b58\u3057\u3001\u30c7\u30fc\u30bf\u5206\u5e03\u306e\u5909\u5316\u306f\u5b66\u7fd2\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u30d1\u30d5\u30a9\u30fc\u30de\u30f3\u30b9\u306b\u5f71\u97ff\u3092\u4e0e\u3048\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<\/li>\n<\/ol>\n

          \u3053\u308c\u3089\u306e\u8ab2\u984c\u306b\u5bfe\u51e6\u3059\u308b\u305f\u3081\u306b\u3001\u7814\u7a76\u8005\u306f VC \u6b21\u5143\u3092\u63a8\u5b9a\u3057\u3001\u305d\u308c\u3092\u3088\u308a\u8907\u96d1\u306a\u30b7\u30ca\u30ea\u30aa\u306b\u9069\u7528\u3059\u308b\u305f\u3081\u306e\u3055\u307e\u3056\u307e\u306a\u8fd1\u4f3c\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3068\u624b\u6cd5\u3092\u958b\u767a\u3057\u307e\u3057\u305f\u3002<\/p>\n

          \u4e3b\u306a\u7279\u5fb4\u3068\u985e\u4f3c\u7528\u8a9e\u3068\u306e\u6bd4\u8f03<\/h2>\n

          VC \u30c7\u30a3\u30e1\u30f3\u30b7\u30e7\u30f3\u306f\u3001\u6a5f\u68b0\u5b66\u7fd2\u3084\u7d71\u8a08\u3067\u4f7f\u7528\u3055\u308c\u308b\u4ed6\u306e\u6982\u5ff5\u3068\u3044\u304f\u3064\u304b\u306e\u7279\u6027\u3092\u5171\u6709\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n

            \n
          1. \n

            \u30e9\u30c7\u30de\u30c3\u30cf\u8907\u96d1\u5ea6<\/strong>: \u30e9\u30c7\u30de\u30c3\u30cf\u8907\u96d1\u5ea6\u306f\u3001\u30e9\u30f3\u30c0\u30e0\u30ce\u30a4\u30ba\u3092\u9069\u5408\u3059\u308b\u80fd\u529b\u306e\u89b3\u70b9\u304b\u3089\u4eee\u8aac\u30af\u30e9\u30b9\u306e\u5bb9\u91cf\u3092\u6e2c\u5b9a\u3057\u307e\u3059\u3002\u3053\u308c\u306f VC \u6b21\u5143\u3068\u5bc6\u63a5\u306b\u95a2\u9023\u3057\u3066\u304a\u308a\u3001\u4e00\u822c\u5316\u8aa4\u5dee\u3092\u5236\u9650\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/p>\n<\/li>\n

          2. \n

            \u7834\u7815\u4fc2\u6570<\/strong>: \u4eee\u8aac\u30af\u30e9\u30b9\u306e\u7c89\u7815\u4fc2\u6570\u306f\u3001VC \u6b21\u5143\u3068\u540c\u69d8\u306b\u3001\u7c89\u7815\u3067\u304d\u308b\u30dd\u30a4\u30f3\u30c8\u306e\u6700\u5927\u6570\u3092\u6e2c\u5b9a\u3057\u307e\u3059\u3002<\/p>\n<\/li>\n

          3. \n

            PAC\u30e9\u30fc\u30cb\u30f3\u30b0<\/strong>: \u304a\u305d\u3089\u304f\u307b\u307c\u6b63\u3057\u3044 (PAC) \u5b66\u7fd2\u306f\u3001\u5b66\u7fd2\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u52b9\u7387\u7684\u306a\u30b5\u30f3\u30d7\u30eb\u8907\u96d1\u6027\u306b\u7126\u70b9\u3092\u5f53\u3066\u305f\u6a5f\u68b0\u5b66\u7fd2\u306e\u30d5\u30ec\u30fc\u30e0\u30ef\u30fc\u30af\u3067\u3059\u3002 VC \u6b21\u5143\u306f\u3001PAC \u5b66\u7fd2\u306e\u30b5\u30f3\u30d7\u30eb\u8907\u96d1\u6027\u306e\u5206\u6790\u306b\u304a\u3044\u3066\u91cd\u8981\u306a\u5f79\u5272\u3092\u679c\u305f\u3057\u307e\u3059\u3002<\/p>\n<\/li>\n<\/ol>\n

            \u30f4\u30a1\u30d7\u30cb\u30af\u30fb\u30c1\u30a7\u30eb\u30f4\u30a9\u30cd\u30f3\u30ad\u30b9\uff08VC\uff09\u6b21\u5143\u306b\u95a2\u9023\u3059\u308b\u5c06\u6765\u306e\u5c55\u671b\u3068\u6280\u8853<\/h2>\n

            Vapnik-Chervonenkis (VC) \u6b21\u5143\u306f\u3001\u6a5f\u68b0\u5b66\u7fd2\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3068\u7d71\u8a08\u5b66\u7fd2\u7406\u8ad6\u306e\u958b\u767a\u306b\u304a\u3044\u3066\u4eca\u5f8c\u3082\u4e2d\u5fc3\u7684\u306a\u6982\u5ff5\u3067\u3042\u308a\u7d9a\u3051\u308b\u3067\u3057\u3087\u3046\u3002\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u304c\u5927\u304d\u304f\u306a\u308a\u8907\u96d1\u306b\u306a\u308b\u306b\u3064\u308c\u3066\u3001\u9069\u5207\u306b\u4e00\u822c\u5316\u3067\u304d\u308b\u30e2\u30c7\u30eb\u3092\u69cb\u7bc9\u3059\u308b\u306b\u306f\u3001VC \u6b21\u5143\u3092\u7406\u89e3\u3057\u3066\u6d3b\u7528\u3059\u308b\u3053\u3068\u304c\u307e\u3059\u307e\u3059\u91cd\u8981\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n

            VC \u6b21\u5143\u306e\u63a8\u5b9a\u3068\u3055\u307e\u3056\u307e\u306a\u5b66\u7fd2\u30d5\u30ec\u30fc\u30e0\u30ef\u30fc\u30af\u3078\u306e\u7d71\u5408\u306e\u9032\u6b69\u306b\u3088\u308a\u3001\u3088\u308a\u52b9\u7387\u7684\u3067\u6b63\u78ba\u306a\u5b66\u7fd2\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u304c\u5b9f\u73fe\u3059\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002\u3055\u3089\u306b\u3001VC \u6b21\u5143\u3068\u30c7\u30a3\u30fc\u30d7\u30e9\u30fc\u30cb\u30f3\u30b0\u304a\u3088\u3073\u30cb\u30e5\u30fc\u30e9\u30eb \u30cd\u30c3\u30c8\u30ef\u30fc\u30af \u30a2\u30fc\u30ad\u30c6\u30af\u30c1\u30e3\u3092\u7d44\u307f\u5408\u308f\u305b\u308b\u3053\u3068\u3067\u3001\u3088\u308a\u5805\u7262\u3067\u89e3\u91c8\u3057\u3084\u3059\u3044\u30c7\u30a3\u30fc\u30d7\u30e9\u30fc\u30cb\u30f3\u30b0 \u30e2\u30c7\u30eb\u304c\u5b9f\u73fe\u3059\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n

            \u30d7\u30ed\u30ad\u30b7\u30b5\u30fc\u30d0\u30fc\u306e\u4f7f\u7528\u65b9\u6cd5\u3084Vapnik-Chervonenkis (VC)\u6b21\u5143\u3068\u306e\u95a2\u9023\u4ed8\u3051\u65b9\u6cd5<\/h2>\n

            OneProxy (oneproxy.pro) \u304c\u63d0\u4f9b\u3059\u308b\u3088\u3046\u306a\u30d7\u30ed\u30ad\u30b7 \u30b5\u30fc\u30d0\u30fc\u306f\u3001\u30a4\u30f3\u30bf\u30fc\u30cd\u30c3\u30c8\u3078\u306e\u30a2\u30af\u30bb\u30b9\u6642\u306b\u30d7\u30e9\u30a4\u30d0\u30b7\u30fc\u3068\u30bb\u30ad\u30e5\u30ea\u30c6\u30a3\u3092\u7dad\u6301\u3059\u308b\u4e0a\u3067\u91cd\u8981\u306a\u5f79\u5272\u3092\u679c\u305f\u3057\u307e\u3059\u3002\u30d7\u30ed\u30ad\u30b7 \u30b5\u30fc\u30d0\u30fc\u306f\u30e6\u30fc\u30b6\u30fc\u3068 Web \u30b5\u30fc\u30d0\u30fc\u306e\u9593\u306e\u4ef2\u4ecb\u5f79\u3068\u3057\u3066\u6a5f\u80fd\u3057\u3001\u30e6\u30fc\u30b6\u30fc\u304c IP \u30a2\u30c9\u30ec\u30b9\u3092\u96a0\u3057\u3001\u5730\u7406\u7684\u306b\u7570\u306a\u308b\u5834\u6240\u304b\u3089\u30b3\u30f3\u30c6\u30f3\u30c4\u306b\u30a2\u30af\u30bb\u30b9\u3067\u304d\u308b\u3088\u3046\u306b\u3057\u307e\u3059\u3002<\/p>\n

            Vapnik-Chervonenkis (VC) \u30c7\u30a3\u30e1\u30f3\u30b7\u30e7\u30f3\u306e\u30b3\u30f3\u30c6\u30ad\u30b9\u30c8\u3067\u306f\u3001\u30d7\u30ed\u30ad\u30b7 \u30b5\u30fc\u30d0\u30fc\u306f\u6b21\u306e\u3088\u3046\u306b\u5229\u7528\u3067\u304d\u307e\u3059\u3002<\/p>\n

              \n
            1. \n

              \u5f37\u5316\u3055\u308c\u305f\u30c7\u30fc\u30bf\u30d7\u30e9\u30a4\u30d0\u30b7\u30fc<\/strong>: \u6a5f\u68b0\u5b66\u7fd2\u30bf\u30b9\u30af\u306e\u5b9f\u9a13\u3084\u30c7\u30fc\u30bf\u53ce\u96c6\u3092\u884c\u3046\u5834\u5408\u3001\u7814\u7a76\u8005\u306f\u533f\u540d\u6027\u3092\u7dad\u6301\u3057\u3001\u8eab\u5143\u3092\u4fdd\u8b77\u3059\u308b\u305f\u3081\u306b\u30d7\u30ed\u30ad\u30b7 \u30b5\u30fc\u30d0\u30fc\u3092\u4f7f\u7528\u3059\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<\/li>\n

            2. \n

              \u904e\u5270\u9069\u5408\u3092\u907f\u3051\u308b<\/strong>: \u30d7\u30ed\u30ad\u30b7 \u30b5\u30fc\u30d0\u30fc\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u3055\u307e\u3056\u307e\u306a\u5834\u6240\u304b\u3089\u3055\u307e\u3056\u307e\u306a\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306b\u30a2\u30af\u30bb\u30b9\u3067\u304d\u308b\u305f\u3081\u3001\u30c8\u30ec\u30fc\u30cb\u30f3\u30b0 \u30bb\u30c3\u30c8\u306e\u591a\u69d8\u6027\u304c\u5411\u4e0a\u3057\u3001\u904e\u5270\u9069\u5408\u304c\u8efd\u6e1b\u3055\u308c\u307e\u3059\u3002<\/p>\n<\/li>\n

            3. \n

              \u5730\u57df\u9650\u5b9a\u30b3\u30f3\u30c6\u30f3\u30c4\u3078\u306e\u30a2\u30af\u30bb\u30b9<\/strong>: \u30d7\u30ed\u30ad\u30b7 \u30b5\u30fc\u30d0\u30fc\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u30e6\u30fc\u30b6\u30fc\u306f\u3055\u307e\u3056\u307e\u306a\u5730\u57df\u306e\u30b3\u30f3\u30c6\u30f3\u30c4\u306b\u30a2\u30af\u30bb\u30b9\u3067\u304d\u308b\u305f\u3081\u3001\u591a\u69d8\u306a\u30c7\u30fc\u30bf\u5206\u5e03\u3067\u6a5f\u68b0\u5b66\u7fd2\u30e2\u30c7\u30eb\u3092\u30c6\u30b9\u30c8\u3067\u304d\u307e\u3059\u3002<\/p>\n<\/li>\n<\/ol>\n

              \u30d7\u30ed\u30ad\u30b7 \u30b5\u30fc\u30d0\u30fc\u3092\u6226\u7565\u7684\u306b\u4f7f\u7528\u3059\u308b\u3053\u3068\u3067\u3001\u7814\u7a76\u8005\u3084\u958b\u767a\u8005\u306f\u30c7\u30fc\u30bf\u53ce\u96c6\u3092\u52b9\u679c\u7684\u306b\u7ba1\u7406\u3057\u3001\u30e2\u30c7\u30eb\u306e\u4e00\u822c\u5316\u3092\u6539\u5584\u3057\u3001\u6a5f\u68b0\u5b66\u7fd2\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u5168\u4f53\u7684\u306a\u30d1\u30d5\u30a9\u30fc\u30de\u30f3\u30b9\u3092\u5411\u4e0a\u3055\u305b\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n

              \u95a2\u9023\u30ea\u30f3\u30af<\/h2>\n

              Vapnik-Chervonenkis (VC) \u30c7\u30a3\u30e1\u30f3\u30b7\u30e7\u30f3\u3068\u95a2\u9023\u30c8\u30d4\u30c3\u30af\u306e\u8a73\u7d30\u306b\u3064\u3044\u3066\u306f\u3001\u6b21\u306e\u30ea\u30bd\u30fc\u30b9\u3092\u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n

                \n
              1. \n

                Vapnik, V., Chervonenkis, A. (1971) \u4e8b\u8c61\u306e\u76f8\u5bfe\u983b\u5ea6\u3068\u305d\u306e\u78ba\u7387\u306e\u4e00\u69d8\u53ce\u675f\u306b\u3064\u3044\u3066<\/a><\/p>\n<\/li>\n

              2. \n

                Vapnik, V., Chervonenkis, A. (1974). \u30d1\u30bf\u30fc\u30f3\u8a8d\u8b58\u306e\u7406\u8ad6<\/a><\/p>\n<\/li>\n

              3. \n

                Shalev-Shwartz, S.\u3001Ben-David, S. (2014)\u3002\u6a5f\u68b0\u5b66\u7fd2\u3092\u7406\u89e3\u3059\u308b: \u7406\u8ad6\u304b\u3089\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u307e\u3067<\/a><\/p>\n<\/li>\n

              4. \n

                Vapnik, VN (1998). \u7d71\u8a08\u5b66\u7fd2\u7406\u8ad6<\/a><\/p>\n<\/li>\n

              5. \n

                Wikipedia \u2013 VC\u30c7\u30a3\u30e1\u30f3\u30b7\u30e7\u30f3<\/a><\/p>\n<\/li>\n

              6. \n

                \u30f4\u30a1\u30d7\u30cb\u30af\u30fb\u30c1\u30a7\u30eb\u30f4\u30a9\u30cd\u30f3\u30ad\u30b9\u6b21\u5143 \u2013 \u30b3\u30fc\u30cd\u30eb\u5927\u5b66<\/a><\/p>\n<\/li>\n

              7. \n

                \u69cb\u9020\u30ea\u30b9\u30af\u6700\u5c0f\u5316 \u2013 \u30cb\u30e5\u30fc\u30e9\u30eb\u60c5\u5831\u51e6\u7406\u30b7\u30b9\u30c6\u30e0 (NIPS)<\/a><\/p>\n<\/li>\n<\/ol>\n

                \u3053\u308c\u3089\u306e\u30ea\u30bd\u30fc\u30b9\u3092\u8abf\u3079\u308b\u3053\u3068\u3067\u3001\u8aad\u8005\u306f Vapnik-Chervonenkis \u6b21\u5143\u306e\u7406\u8ad6\u7684\u6839\u62e0\u3068\u5b9f\u969b\u7684\u306a\u5fdc\u7528\u306b\u3064\u3044\u3066\u3088\u308a\u6df1\u3044\u6d1e\u5bdf\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>","protected":false},"featured_media":470805,"menu_order":0,"template":"","meta":{"_acf_changed":false,"content-type":"","inline_featured_image":false,"footnotes":""},"class_list":["post-479495","wiki","type-wiki","status-publish","has-post-thumbnail","hentry"],"acf":{"faq_title":"Frequently Asked Questions about Vapnik-Chervonenkis (VC) Dimension: A Comprehensive Guide<\/mark>","faq_items":[{"question":"What is the Vapnik-Chervonenkis (VC) dimension?","answer":"

                The Vapnik-Chervonenkis (VC) dimension is a fundamental concept in computational learning theory and statistics. It measures the capacity of a hypothesis class or learning algorithm to shatter data points, enabling a deeper understanding of generalization ability in machine learning models.<\/p>"},{"question":"Who introduced the VC dimension, and when was it first mentioned?","answer":"

                The VC dimension was introduced by Vladimir Vapnik and Alexey Chervonenkis in the early 1970s. They first mentioned it in their 1971 paper titled \"On the Uniform Convergence of Relative Frequencies of Events to Their Probabilities.\"<\/p>"},{"question":"How does the VC dimension work?","answer":"

                The VC dimension quantifies the maximum number of data points that a hypothesis class can shatter, meaning it can correctly classify any possible binary labeling of the data points. It plays a crucial role in determining a model's ability to generalize from training data to unseen data, helping to prevent overfitting.<\/p>"},{"question":"What are the key features of the VC dimension?","answer":"

                The VC dimension offers important insights, including its role as a capacity measure for hypothesis classes, its link to generalization error in learning algorithms, its significance in model selection, and its support for the principle of Occam's razor.<\/p>"},{"question":"What types of VC dimension exist?","answer":"

                The VC dimension can be categorized into shatterable sets, growth functions, and breakpoints. A set of data points is considered shatterable if all possible binary labelings can be realized by the hypothesis class.<\/p>"},{"question":"How can the VC dimension be used, and what problems can arise?","answer":"

                The VC dimension finds applications in model selection, bounding generalization error, structural risk minimization, and support vector machines (SVM). However, challenges include computational complexity, non-binary classification, and data dependency. Researchers have developed approximation algorithms and techniques to address these issues.<\/p>"},{"question":"What are the perspectives and future technologies related to the VC dimension?","answer":"

                The VC dimension will continue to play a central role in machine learning and statistical learning theory. As data sets grow larger and more complex, understanding and leveraging the VC dimension will be crucial in developing models that generalize well and achieve better performance.<\/p>"},{"question":"How can proxy servers be associated with the VC dimension?","answer":"

                Proxy servers, like those provided by OneProxy (oneproxy.pro), can enhance data privacy during experiments or data collection for machine learning tasks. They can also help access diverse datasets from different geographical locations, contributing to more robust and generalized models.<\/p>"},{"question":"Where can I find more information about the VC dimension?","answer":"

                For more information about the VC dimension and related topics, you can explore the provided links to resources, research papers, and books on statistical learning theory and machine learning algorithms.<\/p>"}]},"_links":{"self":[{"href":"https:\/\/oneproxy.pro\/jp\/wp-json\/wp\/v2\/wiki\/479495","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/oneproxy.pro\/jp\/wp-json\/wp\/v2\/wiki"}],"about":[{"href":"https:\/\/oneproxy.pro\/jp\/wp-json\/wp\/v2\/types\/wiki"}],"version-history":[{"count":0,"href":"https:\/\/oneproxy.pro\/jp\/wp-json\/wp\/v2\/wiki\/479495\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/oneproxy.pro\/jp\/wp-json\/wp\/v2\/media\/470805"}],"wp:attachment":[{"href":"https:\/\/oneproxy.pro\/jp\/wp-json\/wp\/v2\/media?parent=479495"}],"curies":[{"name":"\u3046\u30fc\u3093","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}