{"id":233,"date":"2018-05-11T17:39:34","date_gmt":"2018-05-11T08:39:34","guid":{"rendered":"https:\/\/mieruca-ai.com\/ai\/?p=233"},"modified":"2019-08-29T09:47:18","modified_gmt":"2019-08-29T00:47:18","slug":"jaccard_dice_simpson","status":"publish","type":"post","link":"https:\/\/mieruca-ai.com\/ai\/jaccard_dice_simpson\/","title":{"rendered":"\u3010\u6280\u8853\u89e3\u8aac\u3011\u96c6\u5408\u306e\u985e\u4f3c\u5ea6(Jaccard\u4fc2\u6570\uff0cDice\u4fc2\u6570\uff0cSimpson\u4fc2\u6570)"},"content":{"rendered":"<p style=\"text-align: right;\">\n\u57f7\u7b46\uff1a\u91d1\u5b50\u51b4\n<\/p>\n<p>\n\u524d\u56de\u306e\u8a18\u4e8b(<a href=\"https:\/\/mieruca-ai.com\/ai\/levenshtein_jaro-winkler_distance\/\">\u3010\u6280\u8853\u89e3\u8aac\u3011\u4f3c\u3066\u3044\u308b\u6587\u5b57\u5217\u304c\u308f\u304b\u308b\uff01\u30ec\u30fc\u30d9\u30f3\u30b7\u30e5\u30bf\u30a4\u30f3\u8ddd\u96e2\u3068\u30b8\u30e3\u30ed\u30fb\u30a6\u30a3\u30f3\u30af\u30e9\u30fc\u8ddd\u96e2\u306e\u8a08\u7b97\u65b9\u6cd5\u3068\u306f<\/a>)\u3067\u306f\uff0c\u6587\u5b57\u5217\u540c\u58eb\u306e\u985e\u4f3c\u5ea6(\u8ddd\u96e2)\u304c\u8a08\u7b97\u3067\u304d\u308b\u624b\u6cd5\u3092\u7d39\u4ecb\u3057\u305f\uff0e\u307e\u305f\uff0c\u305d\u306e\u8a18\u4e8b\u306e\u4e2d\u3067\uff0c<b>\u81ea\u7136\u8a00\u8a9e\u51e6\u7406\u5206\u91ce\u3067\u306f\u4e3b\u306b\u6587\u66f8\uff0c\u6587\u5b57\u5217\uff0c\u96c6\u5408\u7b49\u306b\u3064\u3044\u3066\u985e\u4f3c\u5ea6\u3092\u8a08\u7b97\u3059\u308b\u5834\u9762\u304c\u591a\u3044<\/b>\u3053\u3068\u306b\u3064\u3044\u3066\u3082\u89e6\u308c\u305f\uff0e\u4eca\u56de\u306f<b>\u96c6\u5408\u540c\u58eb\u306e\u985e\u4f3c\u5ea6\u3092\u8868\u73fe<\/b>\u3059\u308b\u4ee5\u4e0b\u306e\uff13\u3064\u306e\u4fc2\u6570\u3068\u8a08\u7b97\u65b9\u6cd5\u306b\u3064\u3044\u3066\u89e3\u8aac\u3059\u308b\uff0e<br \/>\n\u25cfJaccard\u4fc2\u6570<br \/>\n\u25cfDice\u4fc2\u6570<br \/>\n\u25cfSimpson\u4fc2\u6570\n<\/p>\n<p>\u305d\u306e\u524d\u306b\uff0c\u81ea\u7136\u8a00\u8a9e\u51e6\u7406\u3067\u985e\u4f3c\u5ea6\u3092\u8868\u3059\u6307\u6a19\u306b\u3064\u3044\u3066\u78ba\u8a8d\u3057\u3088\u3046\uff0e<\/p>\n<p><!--more--><\/p>\n<h2>\u81ea\u7136\u8a00\u8a9e\u51e6\u7406\u3067\u4f7f\u7528\u3055\u308c\u308b\u985e\u4f3c\u5ea6(\u8ddd\u96e2)<\/h2>\n<p>\n\u81ea\u7136\u8a00\u8a9e\u51e6\u7406\u306e\u5206\u91ce\u3067\u306f\uff0c\u985e\u4f3c\u5ea6\u3092\u6e2c\u308b\u5bfe\u8c61\u306b\u3088\u3063\u3066\u624b\u6cd5\u3092\u4f7f\u3044\u5206\u3051\u308b\uff0e<br \/>\n\u3053\u3053\u3067\u306f\u4e8b\u524d\u306b\uff0c\u4e3b\u306b\u4f7f\u7528\u3055\u308c\u308b\u624b\u6cd5\u306b\u3064\u3044\u3066\u78ba\u8a8d\u3057\u3066\u304a\u3053\u3046\uff0e\n<\/p>\n<h3>\u30d9\u30af\u30c8\u30eb\u540c\u58eb\u306e\u985e\u4f3c\u5ea6<\/h3>\n<p>\n\u3000\u25cf\u30b3\u30b5\u30a4\u30f3\u985e\u4f3c\u5ea6<br \/>\n\u3000\u25cf\u30d4\u30a2\u30bd\u30f3\u306e\u76f8\u95a2\u4fc2\u6570<br \/>\n\u3000\u25cf\u504f\u5dee\u30d1\u30bf\u30fc\u30f3\u985e\u4f3c\u5ea6<br \/>\n&ensp;\n<\/p>\n<h3>\u96c6\u5408\u540c\u58eb\u306e\u985e\u4f3c\u5ea6(\u4eca\u56de\u306e\u89e3\u8aac\u5bfe\u8c61)<\/h3>\n<p>\n\u3000\u25cfJaccard\u4fc2\u6570<br \/>\n\u3000\u25cfDice\u4fc2\u6570<br \/>\n\u3000\u25cfSimpson\u4fc2\u6570<br \/>\n&ensp;\n<\/p>\n<h3>\u6587\u5b57\u5217\u540c\u58eb\u306e\u985e\u4f3c\u5ea6<\/h3>\n<p>\n\u3000\u25cf\u30cf\u30df\u30f3\u30b0\u8ddd\u96e2<br \/>\n\u3000\u25cf\u30ec\u30fc\u30d9\u30f3\u30b7\u30e5\u30bf\u30a4\u30f3\u8ddd\u96e2<br \/>\n\u3000\u25cf\u30b8\u30e3\u30ed\u30fb\u30a6\u30a3\u30f3\u30af\u30e9\u30fc\u8ddd\u96e2<br \/>\n\u3000\u203b\u30ec\u30fc\u30d9\u30f3\u30b7\u30e5\u30bf\u30a4\u30f3\u8ddd\u96e2\uff0c\u30b8\u30e3\u30ed\u30fb\u30a6\u30a3\u30f3\u30af\u30e9\u30fc\u8ddd\u96e2\u306b\u3064\u3044\u3066\u306f\uff0c\u4ee5\u4e0b\u306e\u8a18\u4e8b\u3067\u89e3\u8aac\u6e08\u307f\uff0e<br \/>\n\u3000\u3000<a href=\"https:\/\/mieruca-ai.com\/ai\/levenshtein_jaro-winkler_distance\/\">\u6587\u5b57\u5217\u306e\u985e\u4f3c\u5ea6(Levenshtein\u8ddd\u96e2\uff0cjaro-winkler\u8ddd\u96e2)<\/a><br \/>\n&ensp;\n<\/p>\n<p>\n\u305d\u308c\u3067\u306f\u672c\u984c\u306e\u96c6\u5408\u540c\u58eb\u306e\u985e\u4f3c\u5ea6\u306b\u3064\u3044\u3066\uff0cJaccard\u4fc2\u6570\u304b\u3089\u78ba\u8a8d\u3057\u3066\u3044\u3053\u3046\uff0e<br \/>\n&ensp;\n<\/p>\n<h2>Jaccard\u4fc2\u6570(Jaccard index)\u3068\u306f<\/h2>\n<h3>Jaccard\u4fc2\u6570\u306e\u5b9a\u7fa9\u3068\u610f\u5473<\/h3>\n<p>\nJaccard\u4fc2\u6570\u306f\uff0c<b>\u300cJaccard index\u300d<\/b>\u3084<b>\u300cJaccard similarity coefficient\u300d<\/b>\u3068\u547c\u3070\u308c\u308b\uff0e<br \/>\n\u3042\u308b\u96c6\u5408A\u3068\u5225\u306e\u96c6\u5408B\u306b\u3064\u3044\u3066\u306eJaccard\u4fc2\u6570J(A,B)\u306f\uff0c\u4ee5\u4e0b\u306e\u5f0f\u3067\u5b9a\u7fa9\u3055\u308c\u308b\uff0e<br \/>\n\uff08\u96c6\u5408A\u3068\u96c6\u5408B\u304c\u3069\u3061\u3089\u3082\u7a7a\u96c6\u5408\\(\\phi\\)\u306e\u6642\uff0cJ(A,B)\uff1d1\u3068\u3059\u308b\uff09<br \/>\n$$J(A,B)=\\frac{|A \\cap B|}{|A \\cup B|}$$<br \/>\n\u308f\u304b\u308a\u3084\u3059\u304f\uff0c\u56f3\u3092\u7528\u3044\u308b\u3068\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308b\uff0e<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mieruca-ai.com\/ai\/wp-content\/uploads\/2018\/05\/fig01.png\" alt=\"\" width=\"950\" height=\"587\" class=\"alignnone size-full wp-image-239\" \/><br \/>\n&ensp;\n<\/p>\n<p>\n\u4e0a\u8a18\u306e\u5b9a\u7fa9\u3088\u308a\uff0cJaccard\u4fc2\u6570\u306f<b><span style=\"color: #ff0000;\">2\u3064\u306e\u96c6\u5408\u306b\u542b\u307e\u308c\u3066\u3044\u308b\u8981\u7d20\u306e\u3046\u3061\u5171\u901a\u8981\u7d20\u304c\u5360\u3081\u308b\u5272\u5408<\/span><\/b>\u3092\u8868\u3057\u3066\u304a\u308a\uff0c\u4fc2\u6570\u306f0\u304b\u30891\u306e\u9593\u306e\u5024\u3068\u306a\u308b\u3053\u3068\u304c\u308f\u304b\u308b\uff0e<b>Jaccard\u4fc2\u6570\u304c\u5927\u304d\u3044\u307b\u30692\u3064\u306e\u96c6\u5408\u306e\u985e\u4f3c\u5ea6\u306f\u9ad8\u3044(\u3088\u304f\u4f3c\u3066\u3044\u308b)<\/b>\u3068\u3044\u3048\u308b\uff0e<br \/>\n&ensp;\n<\/p>\n<h3>Jaccard\u4fc2\u6570\u306e\u8a08\u7b97\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u304a\u3088\u3073python\u5b9f\u88c5\u65b9\u6cd5<\/h3>\n<p>\n\u4eca\u56de\u306f\u4f8b\u3068\u3057\u3066\uff0c\u4ee5\u4e0b\u306e\u96c6\u5408A\u3068\u96c6\u5408B\u3092\u7528\u3044\u3066Jaccard\u4fc2\u6570\u306e\u8a08\u7b97\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3068\u5b9f\u88c5\u65b9\u6cd5\u3092\u78ba\u8a8d\u3057\u3088\u3046\uff0e<br \/>\n\u96c6\u5408A=[&#8220;\u30ea\u30f3\u30b4&#8221;,&#8221;\u30d6\u30c9\u30a6&#8221;,&#8221;\u30a4\u30c1\u30b4&#8221;,&#8221;\u30d1\u30a4\u30f3&#8221;,&#8221;\u30ad\u30a6\u30a4&#8221;,&#8221;\u30e1\u30ed\u30f3&#8221;]<br \/>\n\u96c6\u5408B=[&#8220;\u30e1\u30ed\u30f3&#8221;,&#8221;\u30a4\u30c1\u30b4&#8221;,&#8221;\u30ea\u30f3\u30b4&#8221;,&#8221;\u30d1\u30a4\u30f3\u30a2\u30c3\u30d7\u30eb&#8221;]<br \/>\n\u5b9f\u88c5\u3057\u305f\u30bd\u30fc\u30b9\u30b3\u30fc\u30c9\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308b\uff0e\u8a08\u7b97\u306e\u7d50\u679c\uff0c\u96c6\u5408A\u3068\u96c6\u5408B\u306eJaccard\u4fc2\u6570\u306f\u7d040.429\u3068\u306a\u3063\u305f\uff0e<br \/>\n&ensp;\n<\/p>\n<pre class=\"lang:python decode:true \" title=\"Jaccard\u4fc2\u6570\u306e\u8a08\u7b97\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\" >\r\n#Jaccard\u4fc2\u6570(overlap coefficiant)\u306e\u8a08\u7b97\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\r\ndef jaccard_similarity_coefficient(list_a,list_b):\r\n    #\u96c6\u5408A\u3068\u96c6\u5408B\u306e\u7a4d\u96c6\u5408(set\u578b)\u3092\u4f5c\u6210\r\n    set_intersection = set.intersection(set(list_a), set(list_b))\r\n    #\u96c6\u5408A\u3068\u96c6\u5408B\u306e\u7a4d\u96c6\u5408\u306e\u8981\u7d20\u6570\u3092\u53d6\u5f97\r\n    num_intersection = len(set_intersection)\r\n\r\n    #\u96c6\u5408A\u3068\u96c6\u5408B\u306e\u548c\u96c6\u5408(set\u578b)\u3092\u4f5c\u6210\r\n    set_union = set.union(set(list_a), set(list_b))\r\n    #\u96c6\u5408A\u3068\u96c6\u5408B\u306e\u548c\u96c6\u5408\u306e\u8981\u7d20\u6570\u3092\u53d6\u5f97\r\n    num_union = len(set_union)\r\n\r\n    #\u7a4d\u96c6\u5408\u306e\u8981\u7d20\u6570\u3092\u548c\u96c6\u5408\u306e\u8981\u7d20\u6570\u3067\u5272\u3063\u3066\r\n    #Jaccard\u4fc2\u6570\u3092\u7b97\u51fa\r\n    try:\r\n        return float(num_intersection) \/ num_union\r\n    except ZeroDivisionError:\r\n        return 1.0\t\r\n\r\nif __name__== '__main__':\r\n    list_a = [\"\u30ea\u30f3\u30b4\",\"\u30d6\u30c9\u30a6\",\"\u30a4\u30c1\u30b4\",\"\u30d1\u30a4\u30f3\",\"\u30ad\u30a6\u30a4\",\"\u30e1\u30ed\u30f3\"]\t#\u96c6\u5408A\r\n    list_b = [\"\u30e1\u30ed\u30f3\",\"\u30a4\u30c1\u30b4\",\"\u30ea\u30f3\u30b4\",\"\u30d1\u30a4\u30f3\u30a2\u30c3\u30d7\u30eb\"]\t\t#\u96c6\u5408B\r\n\r\n    jaccard = jaccard_similarity_coefficient(list_a,list_b)\t#Jaccard\u4fc2\u6570\u3092\u8a08\u7b97\r\n    print(jaccard)\t#\u8a08\u7b97\u7d50\u679c\u3092\u51fa\u529b\u3000\u21d2\u30000.42857142857142855\r\n<\/pre>\n<p>\n\u5ff5\u306e\u305f\u3081\uff0c\u5b9a\u7fa9\u5f0f\u304b\u3089\u624b\u8a08\u7b97\u3057\u3066\u307f\u3088\u3046\uff0e<br \/>\n\u4ee5\u4e0b\u306e\u56f3\u304c\u8a08\u7b97\u306e\u904e\u7a0b\u3068\u7d50\u679c\u3067\u3042\u308a\uff0c\u30d7\u30ed\u30b0\u30e9\u30e0\u306e\u7d50\u679c\u3068\u4e00\u81f4\u3059\u308b\u3053\u3068\u304c\u308f\u304b\u308b\uff0e<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mieruca-ai.com\/ai\/wp-content\/uploads\/2018\/05\/fig02.png\" alt=\"\" width=\"1068\" height=\"694\" class=\"alignnone size-full wp-image-240\" \/><br \/>\n&ensp;\n<\/p>\n<h3>Jaccard\u4fc2\u6570\u306e\u6b20\u70b9<\/h3>\n<p>\nJaccard\u4fc2\u6570\u3067\u306f\u5206\u6bcd\u306b2\u3064\u306e\u96c6\u5408\u306e\u548c\u96c6\u5408\u3092\u63a1\u7528\u3059\u308b\u3053\u3068\u3067\u5024\u3092\u6a19\u6e96\u5316\u3057\uff0c\u4ed6\u306e\u96c6\u5408\u540c\u58eb\u306e\u985e\u4f3c\u5ea6\u306b\u5bfe\u3059\u308b\u7d76\u5bfe\u8a55\u4fa1\u3092\u53ef\u80fd\u306b\u3057\u3066\u3044\u308b\uff0e\u3057\u304b\u3057\uff0cJaccard\u4fc2\u6570\u306f2\u3064\u306e\u96c6\u5408\u306e\u5dee\u96c6\u5408\u306e\u8981\u7d20\u6570\u306b\u5927\u304d\u304f\u4f9d\u5b58\u3059\u308b\u305f\u3081\uff0c\u5dee\u96c6\u5408\u306e\u8981\u7d20\u6570\u304c\u591a\u3044\u307b\u3069Jaccard\u4fc2\u6570\u306f\u5c0f\u3055\u304f\u306a\u308b\uff0e\u3053\u308c\u306f\uff0c\u4eba\u306e\u76ee\u304b\u3089\u5224\u65ad\u3057\u305f\u969b\u306e\u300c\u5171\u901a\u8981\u7d20\u304c\u591a\u3044\u307b\u3069\u985e\u4f3c\u5ea6\u304c\u9ad8\u3044\u300d\u3068\u3044\u3046\u611f\u899a\u3068\u7570\u306a\u3063\u3066\u3044\u308b\uff0e<\/p>\n<p>\u305d\u3053\u3067\uff0c\u5dee\u96c6\u5408\u306e\u8981\u7d20\u6570\u306e\u5f71\u97ff\u3092\u6291\u3048\uff0c\u5171\u901a\u8981\u7d20\u306e\u8981\u7d20\u6570\u306e\u5f71\u97ff\u306b\u91cd\u307f\u3092\u304a\u304fDice\u4fc2\u6570\u304c\u63d0\u6848\u3055\u308c\u305f\uff0e<br \/>\n\u3067\u306f\u6b21\u306b\uff0cDice\u4fc2\u6570\u306e\u89e3\u8aac\u306b\u3046\u3064\u308d\u3046\uff0e\u307e\u305f\uff0c\u6b8b\u308a2\u3064\u306e\u4fc2\u6570(Dice\u4fc2\u6570\uff0cSimpson\u4fc2\u6570)\u306b\u3064\u3044\u3066\u306f\uff0cJaccard\u4fc2\u6570\u3068\u306e\u95a2\u9023\u3082\u542b\u3081\u3066\u89e3\u8aac\u3057\u3066\u3044\u304f\uff0e<br \/>\n&ensp;\n<\/p>\n<h2>Dice\u4fc2\u6570(S\u00f8rensen\u2013Dice coefficient)\u3068\u306f<\/h2>\n<h3>Dice\u4fc2\u6570\u306e\u5b9a\u7fa9\u3068\u610f\u5473<\/h3>\n<p>\nDice\u4fc2\u6570\u306f<b>\u300cS\u00f8rensen\u2013Dice index\u300d<\/b>\u3084<b>\u300cS\u00f8rensen\u2013Dice coefficient\u300d<\/b>\u3068\u547c\u3070\u308c\u308b\uff0e<br \/>\n\u3042\u308b\u96c6\u5408A\u3068\u5225\u306e\u96c6\u5408B\u306b\u3064\u3044\u3066\u306eDice\u4fc2\u6570DSC(A,B)\u306f\uff0c\u4ee5\u4e0b\u306e\u5f0f\u3067\u5b9a\u7fa9\u3055\u308c\u308b\uff0e<br \/>\n$$DSC(A,B)=\\frac{2|A \\cap B|}{|A|+|B|}$$<br \/>\n\u308f\u304b\u308a\u3084\u3059\u304f\uff0c\u56f3\u3092\u7528\u3044\u308b\u3068\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308b\uff0e<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mieruca-ai.com\/ai\/wp-content\/uploads\/2018\/05\/fig03.png\" alt=\"\" width=\"1125\" height=\"634\" class=\"alignnone size-full wp-image-241\" \/><br \/>\n&ensp;\n<\/p>\n<p>\nDice\u4fc2\u6570\u306e\u5b9a\u7fa9\u5f0f\u306f\uff0cJaccard\u4fc2\u6570\u306e\u5b9a\u7fa9\u5f0f\u306e\u5206\u6bcd\\(|A|\\cup|B|\\)\u3092\\((|A|+|B|)\/2\\)\u3068\u5909\u63db\u3059\u308b\u3053\u3068\u3067\u5f97\u3089\u308c\u308b\uff0e\u3088\u3063\u3066\uff0cDice\u4fc2\u6570\u306f<b>2\u3064\u306e\u96c6\u5408\u306e<span style=\"color: #ff0000;\">\u5e73\u5747\u8981\u7d20\u6570\u3068\u5171\u901a\u8981\u7d20\u6570\u306e\u5272\u5408<\/span><\/b>\u3092\u8868\u3057\u3066\u304a\u308a\uff0cJaccard\u4fc2\u6570\u3068\u540c\u69d8\u306b0\u304b\u30891\u306e\u9593\u306e\u5024\u3068\u306a\u308b\u3053\u3068\u304c\u308f\u304b\u308b\uff0e\u307e\u305f\uff0c\u3053\u3061\u3089\u3082Jaccard\u4fc2\u6570\u3068\u540c\u69d8\u306b<b>Dice\u4fc2\u6570\u304c\u5927\u304d\u3044\u307b\u30692\u3064\u306e\u96c6\u5408\u306e\u985e\u4f3c\u5ea6\u306f\u9ad8\u3044(\u3088\u304f\u4f3c\u3066\u3044\u308b)<\/b>\u3068\u3044\u3048\u308b\uff0e<br \/>\n&ensp;\n<\/p>\n<h3>Jaccard\u4fc2\u6570\u3068Dice\u4fc2\u6570\u306e\u95a2\u9023<\/h3>\n<p>\u5206\u6bcd\u3092\u300c\u548c\u96c6\u5408\u306e\u8981\u7d20\u6570\u300d\u304b\u3089\u300c2\u96c6\u5408\u306e\u5e73\u5747\u8981\u7d20\u6570\u300d\u3068\u3059\u308b\u3053\u3068\u3067\uff0c\u4e00\u65b9\u306e\u96c6\u5408\u3060\u3051\u8981\u7d20\u6570\u304c\u81a8\u5927\u3067\u3042\u308b\u5834\u5408\u306a\u3069\u306b\u985e\u4f3c\u5ea6\u304c\u8457\u3057\u304f\u4e0b\u304c\u308b\u554f\u984c\u3092\u9632\u304e\uff0c<b><span style=\"color: #ff0000;\">\u5171\u901a\u8981\u7d20\u6570\u3092\u91cd\u8996\u3057\u305f\u985e\u4f3c\u5ea6\u8a08\u7b97<\/span><\/b>\u3092\u5b9f\u73fe\u3057\u3066\u3044\u308b\uff0e<\/p>\n<h3>Dice\u4fc2\u6570\u306e\u8a08\u7b97\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u304a\u3088\u3073python\u5b9f\u88c5\u65b9\u6cd5<\/h3>\n<p>\nJaccard\u4fc2\u6570\u306e\u4f8b\u3092\u7528\u3044\u3066\uff0c\u540c\u69d8\u306bDice\u4fc2\u6570\u306e\u8a08\u7b97\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3068\u5b9f\u88c5\u65b9\u6cd5\u3092\u78ba\u8a8d\u3057\u3088\u3046\uff0e<br \/>\n\u96c6\u5408A=[&#8220;\u30ea\u30f3\u30b4&#8221;,&#8221;\u30d6\u30c9\u30a6&#8221;,&#8221;\u30a4\u30c1\u30b4&#8221;,&#8221;\u30d1\u30a4\u30f3&#8221;,&#8221;\u30ad\u30a6\u30a4&#8221;,&#8221;\u30e1\u30ed\u30f3&#8221;]<br \/>\n\u96c6\u5408B=[&#8220;\u30e1\u30ed\u30f3&#8221;,&#8221;\u30a4\u30c1\u30b4&#8221;,&#8221;\u30ea\u30f3\u30b4&#8221;,&#8221;\u30d1\u30a4\u30f3\u30a2\u30c3\u30d7\u30eb&#8221;]<br \/>\n\u5b9f\u88c5\u3057\u305f\u30bd\u30fc\u30b9\u30b3\u30fc\u30c9\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308b\uff0e\u4eca\u56de\u306f\u96c6\u5408A\u3068\u96c6\u5408B\u304c\u3069\u3061\u3089\u3082\u7a7a\u96c6\u5408\\(\\phi\\)\u306e\u6642\uff0cDSC(A,B)\uff1d1.0\u3068\u3057\u305f\uff0e<br \/>\n\u8a08\u7b97\u306e\u7d50\u679c\uff0c\u96c6\u5408A\u3068\u96c6\u5408B\u306eDice\u4fc2\u6570\u306f0.6\u3068\u306a\u308a\uff0cJaccard\u4fc2\u6570\u306e\u8a08\u7b97\u5024(\u7d040.429)\u3088\u308a\u9ad8\u3044\u7d50\u679c\u3068\u306a\u3063\u305f\uff0e<br \/>\n&ensp;\n<\/p>\n<pre class=\"lang:python decode:true \" title=\"Dice\u4fc2\u6570\u306e\u8a08\u7b97\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\" >\r\n#Dice\u4fc2\u6570\u306e\u8a08\u7b97\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\r\ndef dice_similarity_coefficient(list_a,list_b):\r\n    #\u96c6\u5408A\u3068\u96c6\u5408B\u306e\u7a4d\u96c6\u5408(set\u578b)\u3092\u4f5c\u6210\r\n    set_intersection = set.intersection(set(list_a), set(list_b))\r\n    #\u96c6\u5408A\u3068\u96c6\u5408B\u306e\u7a4d\u96c6\u5408\u306e\u8981\u7d20\u6570\u3092\u53d6\u5f97\r\n    num_intersection = len(set_intersection)\r\n\r\n    #\u96c6\u5408A\u306e\u8981\u7d20\u6570\u3092\u53d6\u5f97\r\n    num_listA = len(list_a)\r\n    #\u96c6\u5408B\u306e\u8981\u7d20\u6570\u3092\u53d6\u5f97\r\n    num_listB = len(list_b)\r\n\r\n    #\u5b9a\u7fa9\u5f0f\u306b\u5f93\u3044\uff0cDice\u4fc2\u6570\u3092\u7b97\u51fa\r\n    try:\r\n        return float(2.0 * num_intersection) \/ (num_listA + num_listB)\r\n    except ZeroDivisionError:\r\n        return 1.0\t\r\n\r\nif __name__== '__main__':\r\n    list_a = [\"\u30ea\u30f3\u30b4\",\"\u30d6\u30c9\u30a6\",\"\u30a4\u30c1\u30b4\",\"\u30d1\u30a4\u30f3\",\"\u30ad\u30a6\u30a4\",\"\u30e1\u30ed\u30f3\"]\t#\u96c6\u5408A\r\n    list_b = [\"\u30e1\u30ed\u30f3\",\"\u30a4\u30c1\u30b4\",\"\u30ea\u30f3\u30b4\",\"\u30d1\u30a4\u30f3\u30a2\u30c3\u30d7\u30eb\"]\t\t#\u96c6\u5408B\r\n\r\n    dsc = dice_similarity_coefficient(list_a,list_b)\t#Dice\u4fc2\u6570\u3092\u8a08\u7b97\r\n    print(dsc)\t#\u8a08\u7b97\u7d50\u679c\u3092\u51fa\u529b\u3000\u21d2\u30000.6\r\n<\/pre>\n<p>\n\u5ff5\u306e\u305f\u3081\uff0c\u5b9a\u7fa9\u5f0f\u304b\u3089\u624b\u8a08\u7b97\u3057\u3066\u307f\u3088\u3046\uff0e<br \/>\n\u4ee5\u4e0b\u306e\u56f3\u304c\u8a08\u7b97\u306e\u904e\u7a0b\u3068\u7d50\u679c\u3067\u3042\u308a\uff0c\u30d7\u30ed\u30b0\u30e9\u30e0\u306e\u7d50\u679c\u3068\u4e00\u81f4\u3059\u308b\u3053\u3068\u304c\u308f\u304b\u308b\uff0e<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mieruca-ai.com\/ai\/wp-content\/uploads\/2018\/05\/fig04.png\" alt=\"\" width=\"1017\" height=\"691\" class=\"alignnone size-full wp-image-242\" \/><br \/>\n&ensp;\n<\/p>\n<h3>Dice\u4fc2\u6570\u306e\u6b20\u70b9<\/h3>\n<p>\n\u300eJaccard\u4fc2\u6570\u3068Dice\u4fc2\u6570\u306e\u95a2\u9023\u300f\u306e\u9805\u3067\u3082\u8aac\u660e\u3057\u305f\u901a\u308a\uff0cDice\u4fc2\u6570\u306e\u5b9a\u7fa9\u5f0f\u306f\uff0cJaccard\u4fc2\u6570\u306e\u5b9a\u7fa9\u5f0f\u306e\u5206\u6bcd\u3092\u300c\u548c\u96c6\u5408\u306e\u8981\u7d20\u6570\u300d\u304b\u3089\u300c2\u96c6\u5408\u306e\u5e73\u5747\u8981\u7d20\u6570\u300d\u3068\u3059\u308b\u3053\u3068\u3067\uff0c\u5dee\u96c6\u5408\u306e\u8981\u7d20\u6570\u304c\u81a8\u5927\u306b\u306a\u3063\u305f\u5834\u5408\u306b\u985e\u4f3c\u5ea6\u3078\u306e\u5f71\u97ff\u3092\u7de9\u548c\u3057\u3066\u3044\u308b\uff0e\u3057\u304b\u3057\uff0c\u7de9\u548c\u3057\u3066\u3044\u308b\u3068\u306f\u3044\u3063\u3066\u3082\uff0c2\u96c6\u5408\u306e\u8981\u7d20\u6570\u306b\u5927\u304d\u306a\u5dee\u304c\u3042\u308a\u5dee\u96c6\u5408\u306e\u8981\u7d20\u6570\u304c\u81a8\u5927\u306b\u306a\u3063\u305f\u5834\u5408(\u4f8b\u3048\u3070\uff0c\u4e00\u65b9\u306e\u96c6\u5408\u304c\u5225\u306e\u96c6\u5408\u3092\u5185\u5305\u3057\u3066\u3044\u308b\u7b49\u306e\u5834\u5408)\u306b\uff0cDice\u4fc2\u6570\u306f\u4f4e\u4e0b\u3057\u3066\u3057\u307e\u3046\uff0e<\/p>\n<p>\u305d\u3053\u3067\uff0c\u5dee\u96c6\u5408\u306e\u8981\u7d20\u6570\u306e\u5f71\u97ff\u3092\u6975\u9650\u307e\u3067\u6291\u3048\u305fSimpson\u4fc2\u6570\u304c\u63d0\u6848\u3055\u308c\u305f\uff0e<br \/>\n\u6b21\u306f\uff0cSimpson\u4fc2\u6570\u306b\u3064\u3044\u3066\uff0cJaccard\u4fc2\u6570\u3068\u306e\u95a2\u9023\u3082\u542b\u3081\u3066\u89e3\u8aac\u3057\u3066\u3044\u304f\uff0e<br \/>\n&ensp;\n<\/p>\n<h2>Simpson\u4fc2\u6570(Overlap coefficient)\u3068\u306f<\/h2>\n<h3>Simpson\u4fc2\u6570\u306e\u5b9a\u7fa9\u3068\u610f\u5473<\/h3>\n<p>\nSimpson\u4fc2\u6570\u306f<b>\u300cOverlap coefficient\u300d<\/b>\u3084<b>\u300cSzymkiewicz\u2013Simpson coefficient\u300d<\/b>\u3068\u547c\u3070\u308c\u308b\uff0e<br \/>\n\u3042\u308b\u96c6\u5408A\u3068\u5225\u306e\u96c6\u5408B\u306b\u3064\u3044\u3066\u306eSimpson\u4fc2\u6570overlap(A,B)\u306f\uff0c\u4ee5\u4e0b\u306e\u5f0f\u3067\u5b9a\u7fa9\u3055\u308c\u308b\uff0e<br \/>\n$$overlap(A,B)=\\frac{|A \\cap B|}{\\min\\{|A|,|B|\\}}$$<br \/>\n\u308f\u304b\u308a\u3084\u3059\u304f\uff0c\u56f3\u3092\u7528\u3044\u308b\u3068\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308b\uff0e<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mieruca-ai.com\/ai\/wp-content\/uploads\/2018\/05\/fig05.png\" alt=\"\" width=\"1418\" height=\"579\" class=\"alignnone size-full wp-image-243\" \/><br \/>\n&ensp;\n<\/p>\n<p>\n\u4e0a\u8a18\u306e\u5b9a\u7fa9\u3088\u308a\uff0cSimpson\u4fc2\u6570\u306f<b>2\u3064\u306e\u96c6\u5408\u306e\u3046\u3061<span style=\"color: #ff0000;\">\u8981\u7d20\u6570\u304c\u5c11\u306a\u3044\u65b9\u306e\u8981\u7d20\u6570\u3068\u5171\u901a\u8981\u7d20\u6570\u306e\u5272\u5408<\/span><\/b>\u3092\u8868\u3057\u3066\u304a\u308a\uff0cJaccard\u4fc2\u6570\u3084Dice\u4fc2\u6570\u3068\u540c\u69d8\u306b0\u304b\u30891\u306e\u9593\u306e\u5024\u3068\u306a\u308b\u3053\u3068\u304c\u308f\u304b\u308b\uff0e\u307e\u305f\uff0c<b>Simpson\u4fc2\u6570\u304c\u5927\u304d\u3044\u307b\u30692\u3064\u306e\u96c6\u5408\u306e\u985e\u4f3c\u5ea6\u306f\u9ad8\u3044(\u3088\u304f\u4f3c\u3066\u3044\u308b)<\/b>\u3068\u3044\u3048\u308b\uff0e<br \/>\n&ensp;\n<\/p>\n<h3>Jaccard\u4fc2\u6570\u3068Dice\u4fc2\u6570\uff0cSimpson\u306e\u95a2\u9023<\/h3>\n<p>Dice\u4fc2\u6570\u306e\u5b9a\u7fa9\u5f0f\u306f\uff0cJaccard\u4fc2\u6570\u306e\u5b9a\u7fa9\u5f0f\u306e\u5206\u6bcd\\(|A|\\cup|B|\\)\u3092\\((|A|+|B|)\/2\\)\u3068\u5909\u63db\u3059\u308b\u3053\u3068\u3067\u5f97\u3089\u308c\u305f\uff0e\u3053\u308c\u306b\u5bfe\u3057\u3066Simpson\u4fc2\u6570\u306e\u5b9a\u7fa9\u5f0f\u306f\uff0cDice\u4fc2\u6570\u306e\u5b9a\u7fa9\u5f0f\u306e\u5206\u6bcd\u3092\u300c2\u96c6\u5408\u306e\u5e73\u5747\u8981\u7d20\u6570\u300d\u304b\u3089\u300c2\u96c6\u5408\u306e\u3046\u3061\u5c11\u306a\u3044\u65b9\u306e\u8981\u7d20\u6570\u300d\u3068\u3059\u308b\u3053\u3068\u3067\uff0cDice\u4fc2\u6570\u3088\u308a\u3082<b>\u5dee\u96c6\u5408\u306e\u8981\u7d20\u6570\u306b\u3088\u308b\u5f71\u97ff\u3092\u4e0b\u3052\uff0c\u76f8\u5bfe\u7684\u306b<span style=\"color: #ff0000;\">\u5171\u901a\u8981\u7d20\u6570\u3092\u91cd\u8996\u3057\u305f\u985e\u4f3c\u5ea6\u8a08\u7b97<\/span><\/b>\u3092\u5b9f\u73fe\u3057\u3066\u3044\u308b\uff0e<\/p>\n<h3>Simpson\u4fc2\u6570\u306e\u8a08\u7b97\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u304a\u3088\u3073python\u5b9f\u88c5\u65b9\u6cd5<\/h3>\n<p>\nJaccard\u4fc2\u6570\uff0cDice\u4fc2\u6570\u306e\u4f8b\u3092\u7528\u3044\u3066\uff0c\u540c\u69d8\u306bSimpson\u4fc2\u6570\u306e\u8a08\u7b97\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3068\u5b9f\u88c5\u65b9\u6cd5\u3092\u78ba\u8a8d\u3057\u3088\u3046\uff0e<br \/>\n\u96c6\u5408A=[&#8220;\u30ea\u30f3\u30b4&#8221;,&#8221;\u30d6\u30c9\u30a6&#8221;,&#8221;\u30a4\u30c1\u30b4&#8221;,&#8221;\u30d1\u30a4\u30f3&#8221;,&#8221;\u30ad\u30a6\u30a4&#8221;,&#8221;\u30e1\u30ed\u30f3&#8221;]<br \/>\n\u96c6\u5408B=[&#8220;\u30e1\u30ed\u30f3&#8221;,&#8221;\u30a4\u30c1\u30b4&#8221;,&#8221;\u30ea\u30f3\u30b4&#8221;,&#8221;\u30d1\u30a4\u30f3\u30a2\u30c3\u30d7\u30eb&#8221;]<br \/>\n\u5b9f\u88c5\u3057\u305f\u30bd\u30fc\u30b9\u30b3\u30fc\u30c9\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308b\uff0e\u4eca\u56de\u306f\u96c6\u5408A\u3068\u96c6\u5408B\u304c\u3069\u3061\u3089\u3082\u7a7a\u96c6\u5408\\(\\phi\\)\u306e\u6642\uff0coverlap(A,B)\uff1d1.0\u3068\u3057\u305f\uff0e\u8a08\u7b97\u306e\u7d50\u679c\uff0c\u96c6\u5408A\u3068\u96c6\u5408B\u306eSimpson\u4fc2\u6570\u306f\u7d040.75\u3068\u306a\u3063\u305f\uff0e<br \/>\n&ensp;\n<\/p>\n<pre class=\"lang:python decode:true \" title=\"Simpson\u4fc2\u6570(overlap coefficiant)\u306e\u8a08\u7b97\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\" >\r\n#Simpson\u4fc2\u6570(overlap coefficiant)\u306e\u8a08\u7b97\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\r\ndef overlap_coefficient(list_a,list_b):\r\n    #\u96c6\u5408A\u3068\u96c6\u5408B\u306e\u7a4d\u96c6\u5408(set\u578b)\u3092\u4f5c\u6210\r\n    set_intersection = set.intersection(set(list_a), set(list_b))\r\n    #\u96c6\u5408A\u3068\u96c6\u5408B\u306e\u7a4d\u96c6\u5408\u306e\u8981\u7d20\u6570\u3092\u53d6\u5f97\r\n    num_intersection = len(set_intersection)\r\n\r\n    #\u96c6\u5408A\u306e\u8981\u7d20\u6570\u3092\u53d6\u5f97\r\n    num_listA = len(list_a)\r\n    #\u96c6\u5408B\u306e\u8981\u7d20\u6570\u3092\u53d6\u5f97\r\n    num_listB = len(list_b)\r\n\r\n    #\u5b9a\u7fa9\u5f0f\u306b\u5f93\u3044\uff0cSimpson\u4fc2\u6570\u3092\u7b97\u51fa\r\n    try:\r\n        return float(num_intersection) \/ min([num_listA,num_listB])\r\n    except ZeroDivisionError:\r\n        return 1.0\t\r\n\r\nif __name__== '__main__':\r\n    list_a = [\"\u30ea\u30f3\u30b4\",\"\u30d6\u30c9\u30a6\",\"\u30a4\u30c1\u30b4\",\"\u30d1\u30a4\u30f3\",\"\u30ad\u30a6\u30a4\",\"\u30e1\u30ed\u30f3\"]\t#\u96c6\u5408A\r\n    list_b = [\"\u30e1\u30ed\u30f3\",\"\u30a4\u30c1\u30b4\",\"\u30ea\u30f3\u30b4\",\"\u30d1\u30a4\u30f3\u30a2\u30c3\u30d7\u30eb\"]\t\t#\u96c6\u5408B\r\n\r\n    overlap = overlap_coefficient(list_a,list_b)\t#Simpson\u4fc2\u6570\u3092\u8a08\u7b97\r\n    print(overlap)\t#\u8a08\u7b97\u7d50\u679c\u3092\u51fa\u529b\u3000\u21d2\u30000.75\r\n<\/pre>\n<p>\n\u5ff5\u306e\u305f\u3081\uff0c\u5b9a\u7fa9\u5f0f\u304b\u3089\u624b\u8a08\u7b97\u3057\u3066\u307f\u3088\u3046\uff0e<br \/>\n\u4ee5\u4e0b\u306e\u56f3\u304c\u8a08\u7b97\u306e\u904e\u7a0b\u3068\u7d50\u679c\u3067\u3042\u308a\uff0c\u30d7\u30ed\u30b0\u30e9\u30e0\u306e\u7d50\u679c\u3068\u4e00\u81f4\u3059\u308b\u3053\u3068\u304c\u308f\u304b\u308b\uff0e<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mieruca-ai.com\/ai\/wp-content\/uploads\/2018\/05\/fig06.png\" alt=\"\" width=\"1126\" height=\"700\" class=\"alignnone size-full wp-image-244\" \/><br \/>\n&ensp;\n<\/p>\n<h3>Simpson\u4fc2\u6570\u306e\u6b20\u70b9<\/h3>\n<p>\n\u300eJaccard\u4fc2\u6570\u3068Dice\u4fc2\u6570\uff0cSimpson\u306e\u95a2\u9023\u300f\u306e\u9805\u3067\u3082\u8aac\u660e\u3057\u305f\u901a\u308a\uff0cSimpson\u4fc2\u6570\u306e\u5b9a\u7fa9\u5f0f\u306f\uff0cDice\u4fc2\u6570\u306e\u5b9a\u7fa9\u5f0f\u306e\u5206\u6bcd\u3092\u300c2\u96c6\u5408\u306e\u5e73\u5747\u8981\u7d20\u6570\u300d\u304b\u3089\u300c2\u96c6\u5408\u306e\u3046\u3061\u5c11\u306a\u3044\u65b9\u306e\u8981\u7d20\u6570\u300d\u3068\u3059\u308b\u3053\u3068\u3067\uff0cDice\u4fc2\u6570\u3088\u308a\u3082<b>\u5dee\u96c6\u5408\u306e\u8981\u7d20\u6570\u306b\u3088\u308b\u5f71\u97ff\u3092\u4e0b\u3052\uff0c\u76f8\u5bfe\u7684\u306b<span style=\"color: #ff0000;\">\u5171\u901a\u8981\u7d20\u6570\u3092\u91cd\u8996\u3057\u305f\u985e\u4f3c\u5ea6\u8a08\u7b97<\/span><\/b>\u3092\u5b9f\u73fe\u3057\u3066\u3044\u308b\uff0e\u3057\u304b\u3057\uff0cSimpson\u4fc2\u6570\u3067\u306f\u8981\u7d20\u6570\u304c\u5c11\u306a\u3044\u65b9\u306e\u8981\u7d20\u6570\u3092\u5206\u6bcd\u3068\u3057\u3066\u3044\u308b\u305f\u3081\uff0c\u4e00\u65b9\u306e\u96c6\u5408\u306e\u8981\u7d20\u6570\u304c\u5c11\u306a\u3044\u5834\u5408\u306b\uff0c\u5dee\u96c6\u5408\u306e\u8981\u7d20\u6570\u304c\u3069\u308c\u3060\u3051\u591a\u304f\u3066\u3082\u985e\u4f3c\u5ea6\u304c\u307b\u307c1\u3068\u306a\u3063\u3066\u3057\u307e\u3046\uff0e<br \/>\n\u3053\u306e\u554f\u984c\u3092\u89e3\u6c7a\u3059\u308b\u305f\u3081\u306b\u306f\uff0c2\u3064\u306e\u96c6\u5408\u306e\u8981\u7d20\u6570\u306b\u6761\u4ef6(\u95be\u5024\u3092\u8a2d\u5b9a\u3059\u308b\uff0c2\u96c6\u5408\u9593\u306e\u8981\u7d20\u6570\u306e\u5dee\u304c\u7bc4\u56f2\u5185\u3067\u3042\u308b\u7b49)\u3092\u4ed8\u52a0\u3059\u308b\u3068\u3088\u3044\uff0e<\/p>\n<p>\u307e\u305f\uff0c\u4e00\u65b9\u306e\u96c6\u5408\u304c\u5225\u306e\u96c6\u5408\u306e\u771f\u90e8\u5206\u96c6\u5408\u306e\u5834\u5408\u306b\uff0cJaccard\u4fc2\u6570(\u3082\u3057\u304f\u306fDice\u4fc2\u6570)\u3068Simpson\u4fc2\u6570\u3067\u306f\u5024\u304c\u7570\u306a\u308b\u305f\u3081\uff0c\u4f7f\u7528\u3059\u308b\u5834\u9762\u306b\u5fdc\u3058\u3066\u4f7f\u3044\u5206\u3051\u308b\u5fc5\u8981\u304c\u3042\u308b\uff0e\u6b21\u306e\u9805\u3067\u306f\uff0cJaccard\u4fc2\u6570\uff0cDice\u4fc2\u6570\uff0cSimpson\u4fc2\u6570\u306e\u4f7f\u3044\u5206\u3051\u306b\u3064\u3044\u3066\uff0c\u4f8b\u3092\u7528\u3044\u3066\u78ba\u8a8d\u3057\u3088\u3046\uff0e<br \/>\n&ensp;\n<\/p>\n<h3>Jaccard\u4fc2\u6570\uff0cDice\u4fc2\u6570\uff0cSimpson\u4fc2\u6570\u306e\u4f7f\u3044\u5206\u3051\u3068\u5224\u65ad\u57fa\u6e96<\/h3>\n<p>\n\u3053\u3053\u307e\u3067\u306e\u8aac\u660e\u3067\uff0c<b>Jaccard\u4fc2\u6570\u3092\u62e1\u5f35\u3057\u305f\u3082\u306e\u304cDice\u4fc2\u6570\uff0cDice\u4fc2\u6570\u3092\u62e1\u5f35\u3057\u305f\u3082\u306e\u304cSimpson\u4fc2\u6570<\/b>\u3067\u3042\u308b\u3053\u3068\u306f\u3054\u7406\u89e3\u3044\u305f\u3060\u3051\u305f\u3060\u308d\u3046\uff0e\u3053\u306e\u8aac\u660e\u3067\u306f\uff0cSimpson\u4fc2\u6570\u304c\u6700\u3082\u512a\u308c\u3066\u3044\u308b\u3088\u3046\u306b\u3068\u3089\u3048\u308b\u3053\u3068\u3082\u3067\u304d\u308b\u304c\uff0c\u4f7f\u7528\u3059\u308b\u5834\u9762\u306b\u3088\u3063\u3066\u306f\u305d\u3046\u3068\u306f\u9650\u3089\u306a\u3044\uff0e\u3053\u3053\u3067\u306f\uff0c\u3044\u304f\u3064\u304b\u306e\u30d1\u30bf\u30fc\u30f3\u3092\u7528\u3044\u3066<b>\u305d\u308c\u305e\u308c\u306e\u4fc2\u6570\u3092\u4f7f\u3044\u5206\u3051\u308b\u65b9\u6cd5<\/b>\u3092\u78ba\u8a8d\u3059\u308b\uff0e<br \/>\n&ensp;\n<\/p>\n<p><strong>\u30d1\u30bf\u30fc\u30f3\uff11\uff1a2\u96c6\u5408\u306e\u4e00\u90e8\u304c\u5171\u901a\u8981\u7d20<\/strong><\/p>\n<p>\n\u521d\u3081\u306b\uff0c\u5404\u4fc2\u6570\u306e\u89e3\u8aac\u3067\u3082\u4f7f\u7528\u3057\u305f\u3088\u3046\u306a\uff0c2\u96c6\u5408\u306e\u4e00\u90e8\u304c\u5171\u901a\u8981\u7d20\u3067\u3042\u308b\u5834\u5408\u3092\u8003\u3048\u3088\u3046\uff0e<br \/>\n\u56f3\u3067\u8868\u3059\u3068\uff0c\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308b\uff0e<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mieruca-ai.com\/ai\/wp-content\/uploads\/2018\/05\/fig07.png\" alt=\"\" width=\"639\" height=\"371\" class=\"alignnone size-full wp-image-245\" \/><br \/>\n\u3053\u306e\u5834\u5408\uff0cJaccard\u4fc2\u6570\u3088\u308aDice\u4fc2\u6570\u306e\u65b9\u304c\uff0c\u3055\u3089\u306bDice\u4fc2\u6570\u3088\u308aSimpson\u4fc2\u6570\u306e\u65b9\u304c\u5dee\u96c6\u5408\u306e\u5f71\u97ff\u3092\u6291\u3048\u3066\u3044\u308b\u305f\u3081\uff0c\u5404\u4fc2\u6570\u306e\u5024\u306f<b><span style=\"color: #ff0000;\">Jaccard\u4fc2\u6570 < Dice\u4fc2\u6570 < Simpson\u4fc2\u6570<\/span><\/b>\u3068\u306a\u308b\uff0e<br \/>\n&ensp;\n<\/p>\n<p><strong>\u30d1\u30bf\u30fc\u30f3\uff12\uff1a2\u96c6\u5408\u306b\u5171\u901a\u8981\u7d20\u304c\u306a\u3044<\/strong><\/p>\n<p>\n\u6b21\u306b\uff0c2\u96c6\u5408\u306b\u5171\u901a\u8981\u7d20\u304c\u306a\u3044\uff0c\u3064\u307e\u308a\\(A \\cap B = \\phi\\)\u306e\u5834\u5408\u3092\u8003\u3048\u308b\uff0e<br \/>\n\u56f3\u3067\u8868\u3059\u3068\uff0c\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308b\uff0e<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mieruca-ai.com\/ai\/wp-content\/uploads\/2018\/05\/fig08.png\" alt=\"\" width=\"699\" height=\"371\" class=\"alignnone size-full wp-image-237\" \/><br \/>\n\u5404\u4fc2\u6570\u306e\u5206\u5b50\u306b\u306f\uff0c\u5171\u901a\u8981\u7d20\u306e\u6570\u3092\u8868\u3059\\(|A \\cap B|\\)\u306e\u9805\u304c\u3042\u308b\uff0e\u5171\u901a\u8981\u7d20\u304c\u306a\u3044\u5834\u5408\u306f\u5f53\u7136\\(|A \\cap B| = 0\\)\u306e\u305f\u3081\uff0c<b><span style=\"color: #ff0000;\">Jaccard\u4fc2\u6570 = Dice\u4fc2\u6570 = Simpson\u4fc2\u6570 = 0<\/span><\/b>\u3068\u306a\u308b\uff0e<br \/>\n&ensp;\n<\/p>\n<p><strong>\u30d1\u30bf\u30fc\u30f3\uff13\uff1a\u4e00\u65b9\u306e\u96c6\u5408\u304c\u5225\u306e\u96c6\u5408\u306e\u771f\u90e8\u5206\u96c6\u5408<\/strong><\/p>\n<p>\n\u6700\u5f8c\u306b\uff0c\u4e00\u65b9\u306e\u96c6\u5408\u304c\u5225\u306e\u96c6\u5408\u306e\u771f\u90e8\u5206\u96c6\u5408\u3067\u3042\u308b\u5834\u5408\u3092\u8003\u3048\u3088\u3046\uff0e<br \/>\n<b><span style=\"color: #ff0000;\">\u5b9f\u306f\uff0c\u5404\u4fc2\u6570\u306e\u4f7f\u3044\u5206\u3051\u306b\u304a\u3044\u3066\u6700\u3082\u91cd\u8981\u3068\u306a\u308b\u306e\u304c\u3053\u306e\u30d1\u30bf\u30fc\u30f3\u3067\u3042\u308b\uff0e<\/span><\/b><br \/>\n\u56f3\u3067\u8868\u3059\u3068\uff0c\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308b\uff0e<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mieruca-ai.com\/ai\/wp-content\/uploads\/2018\/05\/fig09.png\" alt=\"\" width=\"515\" height=\"406\" class=\"alignnone size-full wp-image-238\" \/><br \/>\n\u3053\u306e\u5834\u5408\u306e<b>Jaccard\u4fc2\u6570\u3068Dice\u4fc2\u6570\u306e\u5024\u306f1\u306b\u306f\u306a\u3089\u306a\u3044<\/b>\uff0eJaccard\u4fc2\u6570\u3068Dice\u4fc2\u6570\u3067\u306f\u5dee\u96c6\u5408\u306e\u5f71\u97ff\u3092\u53d7\u3051\u308b\u305f\u3081\uff0c\u771f\u90e8\u5206\u96c6\u5408\u306e\u5834\u5408\u3067\u3082\u5b8c\u5168\u306b\u4e00\u81f4\u3057\u3066\u3044\u308b\u3068\u306f\u5224\u65ad\u3055\u308c\u306a\u3044\uff0e\u3057\u304b\u3057\uff0c<b><span style=\"color: #ff0000;\">Simpson\u4fc2\u6570\u3067\u306f\u5024\u304c1\u306b\u306a\u308b<\/span><\/b>\uff0e\u771f\u90e8\u5206\u96c6\u5408\u306e\u5834\u5408\uff0c\u300c\u8981\u7d20\u6570\u306e\u5c11\u306a\u3044\u65b9(\u96c6\u5408B)\u306e\u8981\u7d20\u6570=\u5171\u901a\u8981\u7d20\u306e\u8981\u7d20\u6570\u300d\u304c\u6210\u308a\u7acb\u3064\u305f\u3081\u3067\u3042\u308b\uff0e<br \/>\n\u3053\u306e\u3088\u3046\u306b\uff0c\u4e00\u65b9\u306e\u96c6\u5408\u304c\u5225\u306e\u96c6\u5408\u306e\u90e8\u5206\u96c6\u5408\u3067\u3042\u308b\u5834\u5408\u306b\uff0cJaccard\u4fc2\u6570\u304a\u3088\u3073Dice\u4fc2\u6570\u3068Simpson\u4fc2\u6570\u3067\u306f\u8003\u3048\u65b9\u306b\u5927\u304d\u306a\u9055\u3044\u304c\u751f\u307e\u308c\u308b\uff0e\u81ea\u5206\u304c\u4f7f\u7528\u3059\u308b\u969b\u306b\u306f<b>\u771f\u90e8\u5206\u96c6\u5408\u3092\u3069\u306e\u3088\u3046\u306b\u8003\u616e\u3059\u308b\u306e\u304b\u3092\u30d9\u30fc\u30b9\u306b\uff0c\u3069\u306e\u4fc2\u6570\u8a08\u7b97\u3092\u63a1\u7528\u3059\u3079\u304d\u304b<\/b>\u3092\u8003\u3048\u308b\u5fc5\u8981\u304c\u3042\u308b\uff0e<br \/>\n&ensp;\n<\/p>\n<p>\n\u6700\u5f8c\u306b\uff0cJaccard\u4fc2\u6570\uff0cDice\u4fc2\u6570\uff0cSimpson\u4fc2\u6570\u306e\u5fdc\u7528\u53ef\u80fd\u6027\u306b\u3064\u3044\u3066\u78ba\u8a8d\u3057\u3088\u3046\uff0e<\/p>\n<h3>Jaccard\u4fc2\u6570\uff0cDice\u4fc2\u6570\uff0cSimpson\u4fc2\u6570\u306e\u5fdc\u7528\u53ef\u80fd\u6027<\/h3>\n<p>\n\u4eca\u56de\u89e3\u8aac\u3057\u305f\uff13\u3064\u306e\u4fc2\u6570\u306f\uff0c\u6700\u521d\u306b\u78ba\u8a8d\u3057\u305f\u901a\u308a\uff0c\u3044\u305a\u308c\u3082\u96c6\u5408\u540c\u58eb\u306e\u985e\u4f3c\u5ea6\u3092\u8868\u3059\u6307\u6a19\u3067\u3042\u308b\uff0e<br \/>\n\u96c6\u5408\u540c\u58eb\u306e\u985e\u4f3c\u5ea6\u304c\u308f\u304b\u308b\u3068\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u3053\u3068\u306b\u5fdc\u7528\u3067\u304d\u308b\uff0e<br \/>\n\u25cf\u6587\u66f8\u540c\u58eb\u306e\u985e\u4f3c\u5ea6\u8a08\u7b97<br \/>\n\u3000\u21d2\u6587\u66f8\u3092\u300c\u5358\u8a9e\u306e\u96c6\u5408\u300d\u3068\u3068\u3089\u3048\u308b\u3053\u3068\u3067\uff0c\u96c6\u5408\u306e\u985e\u4f3c\u5ea6=\u6587\u66f8\u306e\u985e\u4f3c\u5ea6\u3068\u7f6e\u304d\u63db\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u308b\uff0e<br \/>\n\u25cf\u30c8\u30d4\u30c3\u30af\u540c\u58eb\u306e\u95a2\u9023\u63a8\u5b9a<br \/>\n\u3000\u21d2\u30c8\u30d4\u30c3\u30af\u6bce\u306e\u5358\u8a9e\u306e\u96c6\u5408\u3092\u4f5c\u6210\u3057\u3066\u985e\u4f3c\u5ea6\u3092\u8a08\u7b97\u3059\u308b\u3068\uff0c\u305d\u306e\u5024\u306f\u30c8\u30d4\u30c3\u30af\u540c\u58eb\u306e\u985e\u4f3c\u5ea6\u3068\u8a00\u3044\u63db\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3060\u308d\u3046\uff0e\u3053\u308c\u306b\u3088\u308a\uff0c\u3042\u308b\u30c8\u30d4\u30c3\u30af\u306e\u8a71\u984c\u304c\u51fa\u73fe\u3057\u305f\u3068\u304d\u306b\u5225\u306e\u30c8\u30d4\u30c3\u30af\u3068\u95a2\u9023\u4ed8\u3051\u308b\u3079\u304d\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3059\u308b\u76ee\u5b89\u304c\u5f97\u3089\u308c\u308b\uff0e<br \/>\n\u25cf\u6587\u5b57\u5217\u540c\u58eb\u306e\u5171\u8d77\u63a8\u5b9a<br \/>\n\u3000\u21d2\u30c8\u30d4\u30c3\u30af\u540c\u58eb\u306e\u95a2\u9023\u63a8\u5b9a\u306b\u95a2\u4fc2\u3057\u3066\uff0c\u300c\u3042\u308b\u30c8\u30d4\u30c3\u30af\u306e\u5358\u8a9e\u304c\u51fa\u73fe\u3057\u305f\u969b\u306b\uff0c\u985e\u4f3c\u5ea6\u306e\u9ad8\u3044\u30c8\u30d4\u30c3\u30af\u306e\u5358\u8a9e\u3082\u51fa\u73fe\u3059\u308b\u304b\u3082\u3057\u308c\u306a\u3044\u300d\u3068\u3044\u3046\u63a8\u5b9a\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308b\uff0e<br \/>\n&ensp;\n<\/p>\n<h3>\u53c2\u8003<\/h3>\n<p>\u30fb<a href=\"https:\/\/en.wikipedia.org\/wiki\/Jaccard_index\">Jaccard index &#8211; wikipedia<\/a><br \/>\n\u30fb<a href=\"https:\/\/en.wikipedia.org\/wiki\/S%C3%B8rensen%E2%80%93Dice_coefficient\">S\u00f8rensen\u2013Dice coefficient &#8211; wikipedia<\/a><br \/>\n\u30fb<a href=\"https:\/\/en.wikipedia.org\/wiki\/Overlap_coefficient\">Overlap coefficient &#8211; wikipedia<\/a><br \/>\n\u30fb<a href=\"http:\/\/aircconline.com\/mlaij\/V3N1\/3116mlaij03.pdf\">A SURVEY ON SIMILARITY MEASURES IN TEXT MINING<\/a><br \/>\n\u30fb<a href=\"https:\/\/media.accel-brain.com\/jaccard-dice-simpson\/\">\u6587\u66f8\u306e\u985e\u4f3c\u5ea6\u8a08\u7b97\uff08Python3.5\uff09\uff1aJaccard\u4fc2\u6570\uff0cDice\u4fc2\u6570\uff0cSimpson\u4fc2\u6570<\/a><br \/>\n\u30fb<a href=\"https:\/\/mathwords.net\/jaccardkeisu\">Jaccard\u4fc2\u6570\u3001Dice\u4fc2\u6570\u3001Simpson\u4fc2\u6570<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u57f7\u7b46\uff1a\u91d1\u5b50\u51b4 \u524d\u56de\u306e\u8a18\u4e8b(\u3010\u6280\u8853\u89e3\u8aac\u3011\u4f3c\u3066\u3044\u308b\u6587\u5b57\u5217\u304c\u308f\u304b\u308b\uff01\u30ec\u30fc\u30d9\u30f3\u30b7\u30e5\u30bf\u30a4\u30f3\u8ddd\u96e2\u3068\u30b8\u30e3\u30ed\u30fb\u30a6\u30a3\u30f3\u30af\u30e9\u30fc\u8ddd\u96e2\u306e\u8a08\u7b97\u65b9\u6cd5\u3068\u306f)\u3067\u306f\uff0c\u6587\u5b57\u5217\u540c\u58eb\u306e\u985e\u4f3c\u5ea6(\u8ddd\u96e2)\u304c\u8a08\u7b97\u3067\u304d\u308b\u624b\u6cd5\u3092\u7d39\u4ecb\u3057\u305f\uff0e\u307e\u305f\uff0c\u305d\u306e\u8a18\u4e8b\u306e\u4e2d\u3067\uff0c\u81ea\u7136\u8a00\u8a9e\u51e6\u7406\u5206\u91ce\u3067\u306f\u4e3b\u306b\u6587\u66f8\uff0c\u6587\u5b57\u5217\uff0c\u96c6\u5408\u7b49\u306b\u3064\u3044\u3066\u985e\u4f3c\u5ea6\u3092\u8a08\u7b97\u3059\u308b\u5834\u9762\u304c\u591a\u3044\u3053\u3068\u306b\u3064\u3044\u3066\u3082\u89e6\u308c\u305f\uff0e\u4eca\u56de\u306f\u96c6\u5408\u540c\u58eb\u306e\u985e\u4f3c\u5ea6\u3092\u8868\u73fe\u3059\u308b\u4ee5\u4e0b\u306e\uff13\u3064\u306e\u4fc2\u6570\u3068\u8a08\u7b97\u65b9\u6cd5\u306b\u3064\u3044\u3066\u89e3\u8aac\u3059\u308b\uff0e \u25cfJaccard\u4fc2\u6570 \u25cfDice\u4fc2\u6570 \u25cfSimpson\u4fc2\u6570 \u305d\u306e\u524d\u306b\uff0c\u81ea\u7136\u8a00\u8a9e\u51e6\u7406\u3067\u985e\u4f3c\u5ea6\u3092\u8868\u3059\u6307\u6a19\u306b\u3064\u3044\u3066\u78ba\u8a8d\u3057\u3088\u3046\uff0e<\/p>\n","protected":false},"author":1,"featured_media":580,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[4,5],"tags":[],"_links":{"self":[{"href":"https:\/\/mieruca-ai.com\/ai\/wp-json\/wp\/v2\/posts\/233"}],"collection":[{"href":"https:\/\/mieruca-ai.com\/ai\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mieruca-ai.com\/ai\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mieruca-ai.com\/ai\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mieruca-ai.com\/ai\/wp-json\/wp\/v2\/comments?post=233"}],"version-history":[{"count":22,"href":"https:\/\/mieruca-ai.com\/ai\/wp-json\/wp\/v2\/posts\/233\/revisions"}],"predecessor-version":[{"id":1060,"href":"https:\/\/mieruca-ai.com\/ai\/wp-json\/wp\/v2\/posts\/233\/revisions\/1060"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/mieruca-ai.com\/ai\/wp-json\/wp\/v2\/media\/580"}],"wp:attachment":[{"href":"https:\/\/mieruca-ai.com\/ai\/wp-json\/wp\/v2\/media?parent=233"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mieruca-ai.com\/ai\/wp-json\/wp\/v2\/categories?post=233"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mieruca-ai.com\/ai\/wp-json\/wp\/v2\/tags?post=233"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}