{"id":2033,"date":"2019-02-13T23:38:58","date_gmt":"2019-02-13T15:38:58","guid":{"rendered":"http:\/\/www.storagelab.org.cn\/zhangdi\/?p=2033"},"modified":"2019-02-13T23:38:58","modified_gmt":"2019-02-13T15:38:58","slug":"%e4%bf%a1%e6%81%af%e7%86%b5%e5%ba%94%e7%94%a8%e9%9a%8f%e7%ac%942%ef%bc%9a%e7%9b%b4%e6%96%b9%e5%9b%be%e8%af%a6%e8%a7%a3","status":"publish","type":"post","link":"https:\/\/www.divis.cn\/index.php\/2019\/02\/13\/%e4%bf%a1%e6%81%af%e7%86%b5%e5%ba%94%e7%94%a8%e9%9a%8f%e7%ac%942%ef%bc%9a%e7%9b%b4%e6%96%b9%e5%9b%be%e8%af%a6%e8%a7%a3\/","title":{"rendered":"\u4fe1\u606f\u71b5\u5e94\u7528\u968f\u7b142\uff1a\u76f4\u65b9\u56fe\u8be6\u89e3"},"content":{"rendered":"<h2>\u4e00\u3001\u76f4\u65b9\u56fe\u7684\u57fa\u672c\u6982\u5ff5<\/h2>\n<p>\u5728\u4e0a\u6587\u4e2d\u4ecb\u7ecd\u4e86\uff0c\u8981\u8ba1\u7b97\u8054\u5408\u71b5\uff0c\u53ef\u4ee5\u501f\u52a9\u76f4\u65b9\u56fe\u63d0\u4f9b\u7684\u6982\u7387\u5bc6\u5ea6\u4f30\u8ba1\u7ed3\u679c\u3002<\/p>\n<p>\u76f4\u65b9\u56fe\u65e2\u662f\u4e00\u79cd\u7cbe\u786e\u8868\u793a\u6570\u503c\u578b\u6570\u636e\u5206\u5e03\u7684\u7edf\u8ba1\u56fe\u3002\u4ece\u66f4\u4e00\u822c\u7684\u6570\u5b66\u610f\u4e49\u770b\uff0c\u76f4\u65b9\u56fe\u4e5f\u662f\u4e00\u79cd\u4e0d\u9884\u5148\u8bbe\u5b9a\u6982\u7387\u5206\u5e03\u6a21\u578b\uff0c\u53ea\u5229\u7528\u6570\u636e\u672c\u8eab\uff0c\u8fdb\u884c\u6982\u7387\u5bc6\u5ea6\u4f30\u8ba1\u7684\u7b97\u6cd5\u3002\u5c5e\u4e8e\u7edf\u8ba1\u5b66\u4e2d\u975e\u53c2\u6570\u4f30\u8ba1\u7684\u57fa\u7840\u7b97\u6cd5\u3002<\/p>\n<p>\u76f4\u65b9\u56fe\u4e5f\u6709\u5f88\u591a\u79cd\uff0c\u7528\u5f97\u6700\u591a\u7684\u4e00\u7ef4\u9891\u7387\u76f4\u65b9\u56fe\u3002\u867d\u7136\u8fd9\u79cd\u76f4\u65b9\u56fe\u770b\u8d77\u6765\u8ddf\u6761\u5f62\u56fe\uff08bar graph\uff09\u5dee\u4e0d\u591a\uff0c\u4f46\u662f\u6761\u5f62\u56fe\u76ee\u7684\u662f\u5173\u8054\u4e24\u4e2a\u6570\u636e\u7ef4\u5ea6\uff0c\u800c\u76f4\u65b9\u56fe\u53ea\u6d89\u53ca\u4e00\u4e2a\u6570\u636e\u7ef4\u5ea6\u3002\u8981\u6784\u5efa\u4e00\u7ef4\u9891\u7387\u76f4\u65b9\u56fe\uff0c\u5927\u81f4\u5206\u4e3a\u5982\u4e0b\u51e0\u6b65\uff1a<\/p>\n<ol>\n<li>\u7b2c\u4e00\u6b65\uff0c\u662f\u5c06\u4e00\u7ef4\u6570\u636e\u7684\u6240\u6709n\u4e2a\u6837\u672c\u4ece\u5c0f\u5230\u5927\u5347\u5e8f\u6392\u5217\uff0c\u8bb0\u4f5c{x1, x2, x3, &#8230; , xn}\uff0c\u4ece\u800c\u786e\u5b9a\u5176\u6837\u672c\u53d6\u503c\u8303\u56f4[x1, xn]\uff1b<\/li>\n<li>\u7b2c\u4e8c\u6b65\u662f\u5c06\u6574\u4e2a\u53d6\u503c\u8303\u56f4\u5212\u5206\u4e3a\u4e00\u7cfb\u5217\u8fde\u7eed\u7684\u95f4\u9694\uff0c\u8fd9\u4e2a\u95f4\u9694\u88ab\u79f0\u4e4b\u4e3a\u7bb1\uff08bin\uff09\u6216\u8005bucket\uff08\u6876\uff09\uff0c\u95f4\u9694\u901a\u5e38\uff08\u4f46\u4e0d\u662f\u5fc5\u987b\uff09\u5177\u6709\u76f8\u540c\u7684\u5c3a\u5bf8\uff1b<\/li>\n<li>\u7b2c\u4e09\u6b65\u662f\u8ba1\u7b97\u6bcf\u4e2a\u95f4\u9694\u4e2d\u843d\u5165\u4e86\u591a\u5c11\u4e2a\u6837\u672c\uff08\u9891\u6570\uff09\uff0c\u4ece\u800c\u8ba1\u7b97\u51fa\u6bcf\u4e2a\u95f4\u9694\u4e2d\u843d\u5165\u6837\u672c\u7684\u9891\u7387\uff08\u9891\u6570\/n\uff09\uff1b<\/li>\n<li>\u7b2c\u56db\u6b65\u662f\u4f5c\u56fe\uff0c\u5728\u76f4\u89d2\u5750\u6807\u7cfb\u4e0a\uff0c\u7eb5\u5750\u6807\u662f\u9891\u7387\uff0c\u6a2a\u5750\u6807\u662f\u4e00\u7ef4\u6570\u636e\u7684\u6570\u503c\u3002\u5728\u6bcf\u4e2a\u95f4\u9694\u4e0a\u65b9\u4f9d\u636e\u5176\u9891\u7387\u753b\u4e00\u4e2a\u77e9\u5f62\u3002\u77e9\u5f62\u7684\u9ad8\u5ea6\u603b\u548c\u7b49\u4e8e1\u3002<\/li>\n<\/ol>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large\" src=\"https:\/\/gss2.bdstatic.com\/-fo3dSag_xI4khGkpoWK1HF6hhy\/baike\/c0%3Dbaike72%2C5%2C5%2C72%2C24\/sign=4119f5fc49a7d933aba5ec21cc22ba76\/6159252dd42a28347a31f9e350b5c9ea14cebf47.jpg\" width=\"284\" height=\"208\" \/><\/p>\n<p>\u76f4\u65b9\u56fe\u6982\u5ff5\u53ef\u4ee5\u53c2\u8003\u7ef4\u57fa\u767e\u79d1<a href=\"https:\/\/en.wikipedia.org\/wiki\/Histogram\">hisogram\u8bcd\u6761<\/a>\u6216\u8005\u767e\u5ea6\u767e\u79d1<a href=\"https:\/\/baike.baidu.com\/item\/%E9%A2%91%E7%8E%87%E7%9B%B4%E6%96%B9%E5%9B%BE\/2708042?fr=aladdin\">\u9891\u7387\u76f4\u65b9\u56fe\u8bcd\u6761<\/a>\u3002\u76f4\u65b9\u56fe\u7ed8\u5236\u4e2d\uff0c\u6700\u91cd\u8981\u7684\u5de5\u4f5c\u5c31\u662f\u95f4\u9694\u7684\u9009\u53d6\u3002\u5f53\u6837\u672c\u603b\u6570n\u8d8b\u8fd1\u4e0e\u65e0\u7a77\u800c\u95f4\u9694\u8d8b\u8fd1\u4e8e\u6781\u5c0f\u65f6\uff0c\u9891\u7387\u76f4\u65b9\u56fe\u7684\u9636\u68af\u5f62\u6298\u7ebf\u5c06\u903c\u8fd1\u4e8e\u6982\u7387\u5bc6\u5ea6\u66f2\u7ebf\u3002<strong>\u4e0b\u6587\u4e2d\u5c06\u7edf\u4e00\u4ee5bin\uff08\u7bb1\uff09\u6765\u4ee3\u8868\u95f4\u9694\u3002<\/strong><\/p>\n<h2>\u4e8c\u3001\u76f4\u65b9\u56fe\u7684\u6570\u5b66\u610f\u4e49<\/h2>\n<p>\u5728\u66f4\u4e00\u822c\u7684\u6570\u5b66\u610f\u4e49\u4e0a\uff0c\u76f4\u65b9\u56fe\u662f\u8ba1\u7b97\u843d\u5165\u6bcf\u4e2a\u4e0d\u76f8\u4ea4\u7c7b\u522b\uff08bin\uff09\u7684\u89c2\u5bdf\u6570\u91cf\u7684\u51fd\u6570<i>m\u00a0<\/i><sub><i>i<\/i><\/sub>\uff0c\u800c\u76f4\u65b9\u56fe\u7684\u56fe\u5f62\u4ec5\u4ec5\u662f\u8868\u793a\u76f4\u65b9\u56fe\u7684\u4e00\u79cd\u65b9\u5f0f\u3002\u8bbebin\u7684\u5bbd\u5ea6\u4e3ah\uff0cbin\u7684\u6570\u91cf\u4e3ak\uff0c\u6837\u672c\u603b\u6570\u4e3an\u3002\u8fd9\u76f4\u65b9\u56fe\u51fd\u6570m\u6ee1\u8db3\u5982\u4e0b\u6761\u4ef6\uff1a<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large\" src=\"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/45b5f398849f28002815cc3a8a74d6f74a7626aa\" width=\"105\" height=\"66\" \/><\/p>\n<p>\u6837\u672c\u4e2d\u6700\u5927\u503c\u4e3amax x, \u6700\u5c0f\u503c\u4e3amin x, \u5219bin\u7684\u6570\u91cfk\u53ef\u4ee5\u8ba1\u7b97\u5982\u4e0b\uff1a<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large\" src=\"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/d3f97cb49e14592952c50dd4eb2e8d24338df0c8\" width=\"210\" height=\"56\" \/><\/p>\n<p>\u6bcf\u4e2a\u8bbe\u7b2ci\u4e2abin\u5185\u843d\u5165\u7684\u6837\u672c\u6570\u91cf\u4e3ami\u4e2a\uff0c\u5bf9\u5e94\u7684\u9891\u7387fi\u4e3a\uff1a<\/p>\n<p>fi = mi \/ n<\/p>\n<p>\u9898\u5916\u8bdd\uff1a\u4f7f\u7528\u6570\u7ec4\u5c06\u6bcf\u4e2abin\u7684\u4e0a\u4e0b\u786e\u754c\uff08\u8bb0\u4f5cSi\u548cIi\uff09\u548c\u5bf9\u5e94\u7684\u9891\u7387fi\u4ee5\u952e\u503c\u5bf9\u7684\u5f62\u5f0f\u4fdd\u5b58\uff0c\u8bb0\u4e3a(Si, Ii]: fi\uff0c\u5373\u53ef\u5c06\u6574\u4e2a\u76f4\u65b9\u56fe\u7684\u8ba1\u7b97\u7ed3\u679c\u4fdd\u5b58\uff0c\u53ef\u968f\u65f6\u53d6\u51fa\u7ed8\u5236\u6210\u56fe\u5f62\u3002python\u7684pandas\u7c7b\u5e93\u5c31\u662f\u8fd9\u4e48\u505a\u7684\u3002<\/p>\n<p>\u7136\u800cbin\u7684\u5bbd\u5ea6\u5982\u4f55\u9009\u53d6\u5462\uff1f\u6ca1\u6709\u201c\u6700\u4f73\u201d\u7684bin\u5bbd\u5ea6\uff0c\u4e0d\u540c\u7684bin\u5bbd\u5ea6\u53ef\u4ee5\u63ed\u793a\u6570\u636e\u7684\u4e0d\u540c\u7279\u5f81\u3002\u8fd9\u5c31\u662f\u5206\u7ec4\u6570\u636e\u7684\u7cbe\u5999\u4e4b\u5904\u3002\u6709\u4e00\u4e9b\u7ecf\u9a8c\u6027\u7684\u89c4\u5219\u53ef\u4ee5\u5e2e\u6211\u4eec\u3002\u6bd4\u5982\uff1a<\/p>\n<p><strong>\u5e73\u65b9\u6839\u9009\u62e9<\/strong>\uff1a\u5b83\u53d6\u6837\u672c\u603b\u6570\u7684\u5e73\u65b9\u6839\u5e76\u820d\u5165\u5230\u4e0b\u4e00\u4e2a<a title=\"\u6574\u6570\" href=\"https:\/\/en.wikipedia.org\/wiki\/Integer\">\u6574\u6570<\/a>\u3002\u6b64\u65b9\u6cd5\u7531Excel\u3001python\u7b49\u8bb8\u591a\u7a0b\u5e8f\u4f7f\u7528<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large\" src=\"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/5234a4828c2eb281662ea74bb909395899b3d76a\" width=\"91\" height=\"27\" \/><\/p>\n<p>Sturges\u516c\u5f0f\uff0c\u6765\u81ea\u4e8c\u9879\u5f0f\u5206\u5e03\uff0c\u5e76\u9690\u542b\u5730\u5047\u8bbe\u8fd1\u4f3c\u6b63\u6001\u5206\u5e03\u3002\u5b83\u9690\u542b\u5730\u5c06\u7bb1\u5c3a\u5bf8\u57fa\u4e8e\u6570\u636e\u8303\u56f4\uff0c\u5e76\u4e14\u5982\u679c<i>n<\/i>\u00a0\u00a0&lt;30\u00a0\u5219\u53ef\u80fd\u8868\u73b0\u4e0d\u4f73\u00a0\u00a0\uff0c\u56e0\u4e3a\u7bb1\u7684\u6570\u91cf\u5c06\u5c0f &#8211; \u5c0f\u4e8e7 &#8211; \u5e76\u4e14\u4e0d\u592a\u53ef\u80fd\u5728\u6570\u636e\u4e2d\u663e\u793a\u8d8b\u52bf\u3002\u5982\u679c\u6570\u636e\u4e0d\u662f\u6b63\u6001\u5206\u5e03\uff0c\u5b83\u4e5f\u53ef\u80fd\u8868\u73b0\u4e0d\u4f73\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large\" src=\"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/c020d823eb7a197d7db70bc66f8189c2ed7782b8\" width=\"155\" height=\"26\" \/><\/p>\n<p>\u66f4\u591a\u7684bin\u5bbd\u5ea6\/\u4e2a\u6570 \u7684\u7ecf\u9a8c\u9009\u62e9\u6cd5\u8bf7\u53c2\u8003\u7ef4\u57fa\u767e\u79d1<a href=\"https:\/\/en.wikipedia.org\/wiki\/Histogram\">hisogram\u8bcd\u6761<\/a>\u3002<\/p>\n<h2>\u4e09\u3001\u4f7f\u7528Python\u8ba1\u7b97\u76f4\u65b9\u56fe<\/h2>\n<p>\u4f7f\u7528python\u7684pandas\u7c7b\u5e93\u53ef\u4ee5\u975e\u5e38\u8f7b\u677e\u5730\u8ba1\u7b97\u4e00\u7ef4\u9891\u7387\u76f4\u65b9\u56fe\u3002pandas\u6709\u4e24\u4e2a\u4e3b\u8981\u6570\u636e\u7ed3\u6784<a class=\"reference internal\" title=\"pandas.Series\" href=\"https:\/\/www.apachecn.org\/pandas-doc-zh\/generated\/pandas.Series.html#pandas.Series\"><code class=\"xref py py-class docutils literal\"><span class=\"pre\">Series<\/span><\/code><\/a>\uff08\u4e00\u7ef4\uff09\u548c<a class=\"reference internal\" title=\"pandas.DataFrame\" href=\"https:\/\/www.apachecn.org\/pandas-doc-zh\/generated\/pandas.DataFrame.html#pandas.DataFrame\"><code class=\"xref py py-class docutils literal\"><span class=\"pre\">DataFrame<\/span><\/code><\/a>\uff08\u4e8c\u7ef4\uff09\u3002\u4f7f\u7528Series.value_counts()\u65b9\u6cd5\uff0c\u53ef\u4ee5\u5f88\u5bb9\u6613\u5730\u628a\u67d0\u4e00\u7ef4\u6570\u636eseries\u7684\u5206\u7ec4\u9891\u7387\u7ed3\u679c\uff0c\u4e5f\u4fdd\u5b58\u6210series\u7684\u7ed3\u6784\u3002series\u7ed3\u6784\u5176\u5b9e\u5c31\u662f\u4e2a\u4e00\u7ef4\u6570\u7ec4\uff0c\u53ea\u4e0d\u8fc7\u5176\u6570\u7ec4\u4e0b\u6807\u4e0d\u4e00\u5b9a\u662f\u9012\u589e\u7684\u81ea\u7136\u6570\u5217\uff0c\u4e5f\u53ef\u4ee5\u662f\u6307\u5b9a\u7684\u7d22\u5f15\u3002\u5173\u4e8e\u8be5\u51fd\u6570\u7684\u8be6\u7ec6\u4ecb\u7ecd\u8bf7\u53c2\u8003pandas\u5b98\u65b9\u6587\u6863<a href=\"http:\/\/pandas.pydata.org\/pandas-docs\/stable\/reference\/api\/pandas.Series.value_counts.html?highlight=value_counts#pandas.Series.value_counts\">pandas.Series.value_counts<\/a><\/p>\n<pre class=\"lang:ps decode:true\">In [121]: data = np.random.randint(0, 7, size=50)\n\nIn [122]: data\nOut[122]: \narray([6, 4, 1, 3, 4, 4, 4, 6, 5, 2, 6, 1, 0, 4, 3, 2, 5, 3, 4, 0, 5, 3, 0,\n       1, 5, 0, 1, 5, 3, 4, 1, 2, 3, 2, 4, 6, 1, 4, 3, 5, 2, 1, 2, 4, 1, 6,\n       3, 6, 3, 3])\n\nIn [123]: s = pd.Series(data) \n\nIn [124]: s.value_counts()\nOut[124]: \n4    10\n3    10\n1     8\n6     6\n5     6\n2     6\n0     4\ndtype: int64\n\n\/\/\u6ce8\u610f\uff0cvalue_counts\u53ea\u7edf\u8ba1\u4e86\u9891\u6570\uff0c\u6ca1\u7b97\u9891\u7387 \n\/\/\u8981\u7b97\u9891\u7387\u9700\u8981\u5f52\u4e00\u5316\uff0cs.value_counts(normalize=True) \n\/\/\u53e6\u5916bin\u6570\u91cf\u8fd9\u91cc\u53d6\u7684\u9ed8\u8ba4\u503c\uff0c\u5982\u679c\u60f3\u6307\u5b9abin\u6570\u91cf\uff0c\u53ef\u4ee5\u5199\u6210s.value_counts(bins=10)<\/pre>\n<p>\u53e6\u5916python\u7684numpy\u7c7b\u5e93\u4e5f\u6709<a href=\"https:\/\/docs.scipy.org\/doc\/numpy\/reference\/generated\/numpy.histogram.html#numpy.histogram\">numpy.histogram<\/a>\u51fd\u6570\u4e5f\u53ef\u4ee5\u8ba1\u7b97\u76f4\u65b9\u56fe\u7edf\u8ba1\u7ed3\u679c\uff0c\u53ea\u662f\u66f4\u4e3a\u5e95\u5c42\uff0c\u5b83\u4f1a\u5c06\u9891\u7387\u548cbin\u7528\u4e24\u4e2a\u6570\u7ec4\u8fd4\u56de\u3002<\/p>\n<h2>\u56db\u3001\u4e8c\u7ef4\u8054\u5408\u76f4\u65b9\u56fe\uff08 <span class=\"fontstyle0\">2D Joint Histograms<\/span> \uff09<\/h2>\n<p>\u4e4b\u524d\u4e3b\u8981\u4ee5\u4e00\u7ef4\u9891\u7387\u76f4\u65b9\u56fe\u4e3a\u4f8b\u7b80\u5355\u4ecb\u7ecd\u4ec0\u4e48\u662f\u76f4\u65b9\u56fe\u3002\u4e8b\u5b9e\u4e0a\u591a\u4e2a\u7ef4\u5ea6\u4e5f\u53ef\u4ee5\u8ba1\u7b97\u76f4\u65b9\u56fe\u3002\u5148\u4ece\u6700\u7b80\u5355\u7684\u4e8c\u7ef4\u8054\u5408\u76f4\u65b9\u56fe\u5f00\u59cb\u4ecb\u7ecd\u3002<\/p>\n<p>\u8bbe\u6709\u4e24\u4e2a\u6837\u672c\u96c6X\u548cY\uff0c\u5404\u6709n\u548cm\u4e2a\u6837\u672c\u3002\u5982\u679c\u8fd9X\u4e0eY\u5404\u81ea\u7ed8\u5236\u4e00\u7ef4\u9891\u7387\u76f4\u65b9\u56fe\uff0cbin\u7684\u5c3a\u5bf8\u5206\u522b\u4e3ahx\u548chy\uff0cbin\u7684\u4e2a\u6570\u5206\u522b\u662fkx, ky\u3002\u5219X\u4e0eY\u6784\u6210\u7684\u4e8c\u7ef4\u8054\u5408\u76f4\u65b9\u56fe\uff0c\u662f\u4e00\u4e2a\u4e09\u7ef4\u56fe\u5f62\uff1a\u7eb5\u8f74\u4ee3\u8868X\uff0c\u6a2a\u8f74\u4ee3\u8868Y\uff0c\u5219\u4e8c\u7ef4\u76f4\u65b9\u56fe\u7684bin\u662f\u4e00\u4e2a\u77e9\u5f62\uff0c\u9762\u79efh = hx * hy\u3002bin\u7684\u603b\u6570k = kx *ky \u4e2a\u3002\u843d\u5165\u6bcf\u4e2abin\u4e2d\u7684\u6837\u672c\u6570\u6216\u8005\u9891\u7387\uff0c\u5219\u4ee5\u989c\u8272\u6216\u8005Z\u8f74\u9ad8\u5ea6\u8868\u793a\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large\" src=\"https:\/\/docs.scipy.org\/doc\/numpy\/_images\/numpy-histogram2d-1.png\" width=\"700\" height=\"300\" \/><\/p>\n<p>\u4e0a\u56fe\u662f\u4f7f\u7528python\u7684numpy\u7c7b\u5e93\u4e2d\u7684numpy.histogram2d \u65b9\u6cd5\u6765\u8ba1\u7b97\u4e8c\u7ef4\u8054\u5408\u76f4\u65b9\u56fe\u540e\u7684\u7ed3\u679c\u3002\u8fd9\u91cc\u4f7f\u7528\u4e86\u989c\u8272\u6765\u8868\u793a\u6bcf\u4e2abin\u4e2d\u7684\u6837\u672c\u9891\u7387\u3002\u4e09\u4e2a\u5c0f\u56fe\u7684\u4e0d\u540c\u663e\u793a\u6548\u679c\u662f\u7531bin\u8fb9\u7f18\u7684\u4e0d\u540c\u8bbe\u7f6e\u9020\u6210\u7684\u3002\u8be6\u89c1<a href=\"https:\/\/docs.scipy.org\/doc\/numpy\/reference\/generated\/numpy.histogram2d.html#numpy-histogram2d\">numpy\u5b98\u65b9\u6587\u6863numpy.histogram2d\u00a0<\/a><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large\" src=\"http:\/\/zhangdi.dengxinbo.cn\/th.jpg\" width=\"474\" height=\"347\" \/><\/p>\n<p>\u4e0a\u56fe\u662f\u540c\u65f6\u4f7f\u7528\u989c\u8272\u548cZ\u8f74\u9ad8\u5ea6\u6765\u8868\u793a\u6bcf\u4e2abin\u4e2d\u7684\u6837\u672c\u9891\u7387\u7684\u4e8c\u7ef4\u8054\u5408\u76f4\u65b9\u56fe\u3002\u5728\u8fd9\u4e2a\u56fe\u4e2d\uff0c\u8fd8\u5728X\u8f74\u548cY\u8f74\u5904\u8fd8\u5c06\u5404\u81ea\u7684\u4e00\u7ef4\u9891\u7387\u76f4\u65b9\u56fe\u5c55\u793a\u4e86\u51fa\u6765\uff0c\u66f4\u4e3a\u5bb9\u6613\u7406\u89e3\u3002<\/p>\n<p>\u5b58\u50a8\u4e8c\u7ef4\u8054\u5408\u76f4\u65b9\u56fe\u7684\u91cd\u70b9\uff0c\u662f\u4f7f\u7528\u6807\u53f7\u4fdd\u5b58\u6bcf\u4e2abin\u7684\u4f4d\u7f6e\u4fe1\u606f\uff0c\u53cabin\u6240\u5bf9\u5e94\u7684\u9891\u7387\u3002\u6545\u53ef\u4ee5\u7528\u4e8c\u7ef4\u6570\u7ec4\u6765\u5b58\u50a8\u3002\u7b80\u5355\u8bb0\u4f5cbin[x][y] = f(x,y)\uff0c \u5176\u4e2dx\u548cy\u662f\u6570\u7ec4\u4e0b\u6807\uff0c f(x,y)\u662f\u4e0b\u6807\u4e3ax,y\u7684bin\u5bf9\u5e94\u7684\u9891\u7387\u3002<\/p>\n<h2>\u4e94\u3001\u591a\u7ef4\u8054\u5408\u76f4\u65b9\u56fe( <span class=\"fontstyle0\">Multivariate Joint Histogram<\/span> )<\/h2>\n<p>\u6211\u4eec\u53ef\u4ee5\u5c06\u76f4\u65b9\u56fe\u8fd9\u4e00\u6982\u7387\u5bc6\u5ea6\u4f30\u8ba1\u7684\u7b97\u6cd5\u63a8\u5e7f\u52303\u7ef4\u6216\u8005\u66f4\u9ad8\u7ef4\u5ea6\uff0c\u4f463\u7ef4\u6216\u8005\u66f4\u9ad8\u7ef4\u5ea6\u7684\u8054\u5408\u76f4\u65b9\u56fe\u5c31\u4e0d\u597d\u7528\u56fe\u5f62\u8868\u793a\u4e86\uff0c\u66f4\u591a\u7684\u65f6\u5019\u662f\u4f5c\u4e3a\u4e00\u79cd\u8bb0\u5f55\u7edf\u8ba1\u6570\u636e\u7684\u6570\u636e\u7ed3\u6784\u800c\u5b58\u5728\uff0c\u53ef\u76f4\u63a5\u5e2e\u52a9\u6211\u4eec\u8ba1\u7b97\u591a\u4e2a\u6570\u636e\u7ef4\u5ea6\u7684\u8054\u5408\u6982\u7387\u5206\u5e03\uff0c\u7a0d\u4f5c\u53d8\u6362\u5c31\u53ef\u4ee5\u8ba1\u7b97\u8054\u5408\u71b5\u548c\u6761\u4ef6\u71b5\u3002<\/p>\n<p><strong>\u7ad9\u5728\u8ba1\u7b97\u673a\u79d1\u5b66\u7684\u89d2\u5ea6\uff0c\u591a\u7ef4\u8054\u5408\u76f4\u65b9\u56fe\u7684\u4e00\u4e2a\u91cd\u8981\u95ee\u9898\u662f\uff0c\u5982\u4f55\u8868\u793a\u548c\u5b58\u50a8\u5176\u8ba1\u7b97\u7ed3\u679c\u3002<\/strong><\/p>\n<p>\u4e00\u4e2a\u7b80\u5355\u7684\u65b9\u6cd5\u662f\u5c06\u591a\u53d8\u91cf\u8054\u5408\u76f4\u65b9\u56fe\u76f4\u63a5\u5b58\u50a8\u4e3a\u591a\u7ef4\u6570\u7ec4\u3002\u4e00\u7ef4\u6570\u636e\u7684\u76f4\u65b9\u56fe\u53ef\u4ee5\u5b58\u50a8\u6210\u4e00\u7ef4\u6570\u7ec4bin[x]=f(x),\u4e8c\u7ef4\u6570\u636e\u7684\u4e8c\u7ef4\u8054\u5408\u76f4\u65b9\u56fe\u53ef\u4ee5\u5b58\u50a8\u4e3a\u4e8c\u7ef4\u6570\u7ec4bin[x][y] = f(x,y)\uff0c \u4ee5\u6b64\u7c7b\u63a8\uff0cn\u7ef4\u6570\u636e\u53ef\u4ee5\u5b58\u50a8\u4e3an\u7ef4\u6570\u7ec4bin[x1][x2]&#8230;[xn]=f(x1, x2, &#8230;, xn)\u3002<\/p>\n<p>\u6709\u4e00\u4e9bC\u8bed\u8a00\u7c7b\u5e93\u53ef\u4ee5\u76f4\u63a5\u8ba1\u7b97\u591a\u7ef4\u8054\u5408\u76f4\u65b9\u56fe\uff0c\u5e76\u4e14\u53ef\u4ee5\u4e0epython\u7ed1\u5b9a\uff1a https:\/\/github.com\/boostorg\/histogram<\/p>\n<p>\u7136\u800c\uff0c\u4f7f\u7528\u591a\u7ef4\u6570\u7ec4\u7684\u5185\u5b58\u9700\u6c42\u4f1a\u968f\u7740\u6570\u636e\u7ef4\u5ea6\u548cbin\u6570\u91cf\u7684\u589e\u52a0\u800c\u663e\u8457\u589e\u52a0\u3002\u5047\u8bbe\u6709N\u4e2a\u6570\u636e\u7ef4\u5ea6\uff0c\u6211\u4eec\u5bf9\u6240\u6709\u7ef4\u5ea6\u90fd\u4f7f\u7528B\u4e2abin\uff0c\u5982\u679c\u9891\u7387\u4e5f\u4ee5\u6d6e\u70b9\u6570\u8fdb\u884c\u5b58\u50a8\uff0c\u90a3\u4e48\u6211\u4eec\u5c31\u9700\u8981B^N\u4e2a\u6d6e\u70b9\u6570\u624d\u80fd\u8868\u793a\u8fd9\u4e2a\u591a\u7ef4\u8054\u5408\u76f4\u65b9\u56fe\u3002\u8fd9\u5bf9\u5b58\u50a8\u7a7a\u95f4\u7684\u6d88\u8017\u4e5f\u6307\u6570\u578b\u589e\u957f\u7684\u3002\u8fd9\u7ed9\u6211\u4eec\u5904\u7406\u591a\u7ef4\u8054\u5408\u76f4\u65b9\u56fe\u9020\u6210\u4e86\u5f88\u5927\u7684\u9ebb\u70e6\u3002\u5728\u4e0b\u4e00\u8282\u4e2d\u5c06\u8be6\u7ec6\u4ecb\u7ecd\u5b58\u50a8\u591a\u7ef4\u8054\u5408\u76f4\u65b9\u56fe\u7684\u65b0\u6570\u636e\u7ed3\u6784\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u4e00\u3001\u76f4\u65b9\u56fe\u7684\u57fa\u672c\u6982\u5ff5 \u5728\u4e0a\u6587\u4e2d\u4ecb\u7ecd\u4e86\uff0c\u8981<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12],"tags":[70,130],"class_list":["post-2033","post","type-post","status-publish","format-standard","hentry","category-data-visualization","tag-70","tag-130"],"_links":{"self":[{"href":"https:\/\/www.divis.cn\/index.php\/wp-json\/wp\/v2\/posts\/2033","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.divis.cn\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.divis.cn\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.divis.cn\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.divis.cn\/index.php\/wp-json\/wp\/v2\/comments?post=2033"}],"version-history":[{"count":0,"href":"https:\/\/www.divis.cn\/index.php\/wp-json\/wp\/v2\/posts\/2033\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.divis.cn\/index.php\/wp-json\/wp\/v2\/media?parent=2033"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.divis.cn\/index.php\/wp-json\/wp\/v2\/categories?post=2033"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.divis.cn\/index.php\/wp-json\/wp\/v2\/tags?post=2033"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}