{"id":26267,"date":"2011-11-13T00:06:35","date_gmt":"2011-11-12T16:06:35","guid":{"rendered":"http:\/\/www.yankay.com\/?p=26267"},"modified":"2011-11-13T00:06:35","modified_gmt":"2011-11-12T16:06:35","slug":"%e6%9f%a5%e8%af%a2%e5%88%a9%e5%99%a8-bloom-filter%e8%af%a6%e8%a7%a3","status":"publish","type":"post","link":"http:\/\/yankay.com\/%e6%9f%a5%e8%af%a2%e5%88%a9%e5%99%a8-bloom-filter%e8%af%a6%e8%a7%a3\/","title":{"rendered":"\u67e5\u8be2\u5229\u5668-bloom-filter\u8be6\u89e3"},"content":{"rendered":"<p><a href=\"http:\/\/zh.wikipedia.org\/wiki\/%E5%B8%83%E9%9A%86%E8%BF%87%E6%BB%A4%E5%99%A8\" target=\"_blank\" rel=\"noopener\">\u5e03\u9686\u8fc7\u6ee4\u5668<\/a>\uff08Bloom Filter\uff09\u662f1970\u5e74\u7531\u5e03\u9686\u63d0\u51fa\u7684\u3002\u5b83\u5b9e\u9645\u4e0a\u662f\u4e00\u4e2a\u5f88\u957f\u7684\u4e8c\u8fdb\u5236\u5411\u91cf\u548c\u4e00\u7cfb\u5217\u968f\u673a\u6620\u5c04\u51fd\u6570\u3002\u5e03\u9686\u8fc7\u6ee4\u5668\u53ef\u4ee5\u7528\u4e8e\u68c0\u7d22\u4e00\u4e2a\u5143\u7d20\u662f\u5426\u5728\u4e00\u4e2a\u96c6\u5408\u4e2d\u3002\u5b83\u7684\u4f18\u70b9\u662f\u7a7a\u95f4\u6548\u7387\u548c\u67e5\u8be2\u65f6\u95f4\u90fd\u8fdc\u8fdc\u8d85\u8fc7\u4e00\u822c\u7684\u7b97\u6cd5\uff0c\u7f3a\u70b9\u662f\u6709\u4e00\u5b9a\u7684\u8bef\u8bc6\u522b\u7387\u548c\u5220\u9664\u56f0\u96be\u3002\u672c\u6587\u7740\u91cd\u4e8e\u5728\u5b9e\u73b0Bloom Filter\u7684\u65f6\u5019\u4f1a\u4f7f\u7528\u5230\u7684\u4e00\u4e9b\u6280\u5de7\u3002<\/p>\n<p>\u5e03\u9686\u8fc7\u6ee4\u5668\u7684\u539f\u7406\u4e0d\u96be\u7406\u89e3\u3002\u76f8\u5bf9\u4e8e\u4e00\u4e2a\u7cbe\u7b80\u7684HashMap\u7684\u6570\u636e\u7ed3\u6784\uff0c\u5b58\u5165\u6570\u636e\u7684\u65f6\u5019\uff0c\u4e0d\u5b58\u5165\u6570\u636e\u672c\u8eab\uff0c\u53ea\u4fdd\u5b58\u5176Hash\u7684\u503c\u3002\u53ef\u4ee5\u7528\u4e8e\u5224\u65ad\u8be5\u6570\u636e\u662f\u5426\u5b58\u5728\u3002\u5176\u672c\u8d28\u662f\u7528Hash\u5bf9\u6570\u636e\u8fdb\u884c&#8221;\u6709\u635f\u538b\u7f29&#8221;\u7684\u4f4d\u56fe\u7d22\u5f15\u3002\u8be6\u7ec6<a title=\"Hash\u548cBloom Filter\" href=\"http:\/\/www.sigma.me\/2011\/09\/13\/hash-and-bloom-filter.html\" target=\"_blank\" rel=\"noopener\">\u53c2\u89c1<\/a>\u3002<\/p>\n<p><a href=\"http:\/\/yankaycom-wordpress.stor.sinaapp.com\/uploads\/2012\/12\/6336783480_5f7e19e905.jpg\" rel=\"shadowbox\"><img loading=\"lazy\" decoding=\"async\" alt=\"Bloom_filter\" src=\"http:\/\/yankaycom-wordpress.stor.sinaapp.com\/uploads\/2012\/12\/6336783480_5f7e19e905.jpg\" width=\"500\" height=\"180\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<h3>\u9519\u8bef\u7387<\/h3>\n<p>\u5982\u679c\u7528\u6765\u5b58\u653eHash\u503c\u7684\u69fd\u4f4d\u8db3\u591f\u591a\uff0c\u90a3\u4e48\u78b0\u649e\u7684\u6982\u7387\u5c31\u4f1a\u6bd4\u8f83\u5c0f\u3002\u4f46\u662f\u6240\u5360\u7528\u7684\u7a7a\u95f4\u5c31\u4f1a\u6bd4\u8f83\u5927\u3002\u6240\u4ee5\u5f53\u5206\u914d\u7a7a\u95f4\u7684\u65f6\u5019\uff0c\u9700\u8981\u901a\u8fc7\u4f60\u80fd\u5bb9\u5fcd\u7684\u9519\u8bef\u7387\u548c\u9700\u8981\u5b58\u653e\u7684Key\u7684\u6570\u91cf\u6765\u6307\u5b9a\u3002\u5982\u679c\u6240\u9700\u5b58\u50a8\u7684Key\u6570\u91cf\u662fn,\u9519\u8bef\u7387\u662fp\uff0c\u6240\u9700\u8981\u7684\u69fd\u4f4d\u662fm\u3002\u6709\u8ba1\u7b97\u69fd\u4f4d\u7684\u516c\u5f0f$$m=-frac{nln p}{(ln 2)^2}.$$\uff0c\u4e5f\u6709\u8ba1\u7b97\u6982\u7387\u7684\u516c\u5f0f$$p = left( 1-e^{-(m\/nln 2) n\/m} right)^{(m\/nln 2)}$$\u3002\u8fd9\u4e9b\u516c\u5f0f\u5f53\u7136\u4e0d\u662f\u6211\u63a8\u5bfc\u51fa\u6765\u7684\uff0c\u60f3\u6765\u4e5f\u4e0d\u592a\u96be\uff0c\u5c31\u4e0d\u8d58\u8ff0\u63a8\u5bfc\u8fc7\u7a0b\u4e86\u3002\u4e0b\u9762\u8fd9\u5f20\u56fe\u53ef\u4ee5\u5f88\u597d\u7684\u8868\u793an\u548cm\u53d6\u4e0d\u540c\u7684\u503c\u7684\u65f6\u5019\uff0cp\u7684\u503c\u3002<\/p>\n<p><a href=\"http:\/\/upload.wikimedia.org\/wikipedia\/commons\/e\/ef\/Bloom_filter_fp_probability.svg\"><img decoding=\"async\" alt=\"Bloom_filter\" src=\"http:\/\/upload.wikimedia.org\/wikipedia\/commons\/e\/ef\/Bloom_filter_fp_probability.svg\" width=\"500\" \/><\/a><\/p>\n<p>\u6839\u636e\u8fd9\u5f20\u56fe\u3002\u6211\u4eec\u53ef\u4ee5\u8ba1\u7b97\u51fa\u6240\u9700\u8981\u7684\u5185\u5b58\u4f7f\u7528\u91cf\u3002\u5982\u679c\u628a\u9519\u8bef\u7387\u63a7\u5236\u57281%\u4ee5\u4e0b\u7684\u8bdd\u3002<\/p>\n<table width=\"80%\">\n<tbody>\n<tr>\n<th>\u4fdd\u5b58key\u6570<\/th>\n<th>\u5360\u7528\u7a7a\u95f4<\/th>\n<\/tr>\n<tr>\n<td>1\u4e07<\/td>\n<td>64KB<\/td>\n<\/tr>\n<tr>\n<td>10\u4e07<\/td>\n<td>1MB<\/td>\n<\/tr>\n<tr>\n<td>100\u4e07<\/td>\n<td>16MB<\/td>\n<\/tr>\n<tr>\n<td>1000\u4e07<\/td>\n<td>256MB<\/td>\n<\/tr>\n<tr>\n<td>1\u4ebf<\/td>\n<td>&lt;4GB<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<p>\u53ef\u89c1\u5360\u7528\u7684\u7a7a\u95f4\u5728key\u7684\u6570\u91cf\u5728\u767e\u4e07\u7ea7\u522b\u8fd8\u662f\u5f88\u5212\u7b97\u7684\uff0c\u4f46\u5230\u4e86\u4e0a\u4ebf\u7684\u7ea7\u522b\u5c31\u4e0d\u90a3\u4e48\u5212\u7b97\u4e86\u3002<\/p>\n<p>Bloom Filter\u7684\u63d2\u5165\u548c\u67e5\u8be2\u90fd\u662f\u5e38\u6570\u7ea7\u522b\u7684\uff0c\u6240\u4ee5\u6700\u5927\u7684\u95ee\u9898\u5c31\u662f\u5360\u7528\u5185\u5b58\u8fc7\u5927\u3002\u800c\u521d\u6b21\u5206\u914d\u5185\u5b58\u7684\u65f6\u5019\uff0c\u5982\u679c\u6ca1\u6709\u80fd\u591f\u786e\u8ba4\u69fd\u4f4d\u7684\u4e2a\u6570\u3002\u5982\u679c\u5206\u914d\u8fc7\u591a\u4f1a\u5bfc\u81f4\u5185\u5b58\u6d6a\u8d39\uff0c\u592a\u5c11\u5c31\u4f1a\u5012\u662f\u9519\u8bef\u7387\u8fc7\u9ad8\u3002\u4e0b\u9762\u63d0\u5230\u7684\u4e24\u4e2a\u6539\u8fdb\u65b9\u6848\u53ef\u4ee5\u5206\u522b\u89e3\u51b3\u8fd9\u4e24\u4e2a\u95ee\u9898\u3002<\/p>\n<h3>\u6298\u53e0<\/h3>\n<p>\u6298\u53e0\u662f\u6307\u5f53\u4f60\u521d\u59cb\u5316\u4e00\u4e2aBloom Filter\u7684\u65f6\u5019\uff0c\u53ef\u4ee5\u5206\u914d\u8db3\u591f\u5927\u7684\u69fd\u4f4d\uff0c\u7b49\u5230Key\u5bfc\u5165\u5b8c\u6bd5\u540e\uff0c\u53ef\u4ee5\u5bf9\u4f7f\u7528\u7684\u69fd\u4f4d\u8fdb\u884c\u5408\u5e76\u64cd\u4f5c\u3002\u5177\u4f53\u65b9\u6cd5\u662f\u5c06\u69fd\u4f4d\u5207\u6210\u4e24\u534a\uff0c\u4e00\u8fb9\u5b8c\u5168\u53e0\u52a0\u5230\u53e6\u4e00\u8fb9\u4e0a\u3002\u51cf\u5c11\u5185\u5b58\u7684\u4f7f\u7528\u91cf\u3002\u68c0\u67e5key\u7684\u4ee3\u7801\u8981\u505a\u7a0d\u8bb8\u6539\u53d8\u3002\u4f8b\uff1a<\/p>\n<p><a href=\"http:\/\/yankaycom-wordpress.stor.sinaapp.com\/uploads\/2012\/12\/bloom-filter.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-26307\" title=\"bloom filter\" alt=\"\" src=\"http:\/\/yankaycom-wordpress.stor.sinaapp.com\/uploads\/2012\/12\/bloom-filter.png\" width=\"247\" height=\"99\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p>\u901a\u8fc7\u8fd9\u4e2a\u64cd\u4f5c\uff0c\u53ef\u4ee5\u4f7f\u5b9e\u9645\u4f7f\u7528\u7684\u5185\u5b58\u91cf\u51cf\u534a\u3002\u591a\u6267\u884c\u51e0\u6b21\uff0c\u80fd\u51cf\u5c11\u66f4\u591a\u3002<\/p>\n<h3>\u52a8\u6001\u6269\u5c55<\/h3>\n<p>\u901a\u8fc7\u6298\u53e0\u64cd\u4f5c\uff0c\u53ef\u4ee5\u89e3\u51b3\u5206\u914d\u8fc7\u5927\u7684\u95ee\u9898\uff0c\u4f46\u662f\u5982\u679c\u4e00\u5f00\u59cb\u5206\u914d\u8fc7\u5c0f\uff0c\u5c31\u9700\u8981\u6269\u5c55\u69fd\u4f4d\u624d\u884c\u3002\u5982\u4f55\u6269\u5c55\u5462\uff1f\u53ea\u8981\u6309\u539f\u5c3a\u5bf8\u518d\u5efa\u7acb\u4e00\u4e2aBloom Filter\u6570\u7ec4\u3002\u539f\u6765\u7684\u90a3\u4e2a\u4fdd\u5b58\u8d77\u6765\uff0c\u4e0d\u518d\u5199\u5165\u3002\u6709\u65b0\u7684\u5199\u8bf7\u6c42\u7684\u65f6\u5019\uff0c\u5c31\u5c06\u6570\u636e\u5199\u5165\u5230\u65b0\u7684\u90a3\u4e2aBloom Filter\u6570\u7ec4\u91cc\u9762\u53bb\u3002\u7b49\u5230\u65b0\u7684\u4e5f\u5199\u6ee1\u4e86\uff0c\u5c31\u518d\u5efa\u7acb\u4e00\u4e2a\uff0c\u4ee5\u6b64\u7c7b\u63a8\u3002\u67e5\u8be2\u7684\u65f6\u5019\uff0c\u5c31\u9700\u8981\u904d\u5386\u6bcf\u4e00\u4e2aBloom Filter\u6570\u7ec4\u624d\u884c\u3002\u4f46\u56e0\u4e3a\u67e5\u8be2\u4e00\u4e2aBloom Filter\u6570\u7ec4\u7684\u901f\u5ea6\u5f88\u5feb\uff0c\u67e5\u8be2\u4e00\u7ec4Bloom Filter\u6570\u7ec4\u4e5f\u4e0d\u4f1a\u592a\u5f71\u54cd\u6027\u80fd\u3002\u4f7f\u7528\u8fd9\u79cd\u624b\u6bb5\u53ef\u4ee5\u662fBloom Filter\u7684\u5927\u5c0f\u53ef\u4ee5\u8f7b\u6613\u7684\u6269\u5c55\u3002\u4f46\u8fd9\u6837\u505a\u6709\u4e2a\u7684\u7f3a\u9677\uff0c\u5c31\u662f\u9519\u8bef\u7387\u4f1a\u968f\u7740\u6570\u7ec4\u7684\u589e\u52a0\u800c\u4e0a\u5347\uff0c\u56e0\u4e3a\u5b9e\u9645\u7684\u6570\u7ec4\u957f\u5ea6\u5e76\u6ca1\u6709\u589e\u52a0\u3002<\/p>\n<p><a href=\"http:\/\/yankaycom-wordpress.stor.sinaapp.com\/uploads\/2012\/12\/6336898071_43476017091.jpg\" rel=\"shadowbox\"><img loading=\"lazy\" decoding=\"async\" alt=\"d-bloom-filter\" src=\"http:\/\/yankaycom-wordpress.stor.sinaapp.com\/uploads\/2012\/12\/6336898071_43476017091.jpg\" width=\"500\" height=\"297\" \/><\/a><\/p>\n<p>\u901a\u8fc7\u4e0a\u9762\u7684\u4e24\u4e2a\u65b9\u6cd5\uff0c\u5c31\u53ef\u4ee5\u89e3\u51b3BloomFilter\u7684\u5206\u914d\u5185\u5b58\u7684\u95ee\u9898\u3002\u4f46\u65e0\u8bba\u54ea\u79cd\u65b9\u6cd5\u90fd\u6709\u81ea\u5df1\u5c40\u9650\u6027\uff0c\u6298\u53e0\u6bcf\u6b21\u53ea\u80fd\u51cf\u534a\uff0c\u4e0d\u662f\u5f88\u7cbe\u786e\u3002\u52a8\u6001\u589e\u52a0\u7684\u65b9\u6cd5\u4f1a\u9020\u6210\u9519\u8bef\u7387\u589e\u52a0\u3002\u6700\u597d\u8fd8\u662f\u80fd\u9884\u5148\u4f30\u8ba1\u5230\u8fd9\u4e2aBloomFilter\u7684\u5bb9\u91cf\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p><a href=\"http:\/\/zh.wikipedia.org\/wiki\/%E5%B8%83%E9%9A%86%E8%BF%87%E6%BB%A4%E5%99%A8\" target=\"_blank\" rel=\"noopener\">\u5e03\u9686\u8fc7\u6ee4\u5668<\/a>\uff08Bloom Filter\uff09\u662f1970\u5e74\u7531\u5e03\u9686\u63d0\u51fa\u7684\u3002\u5b83\u5b9e\u9645\u4e0a\u662f\u4e00\u4e2a\u5f88\u957f\u7684\u4e8c\u8fdb\u5236\u5411\u91cf\u548c\u4e00\u7cfb\u5217\u968f\u673a\u6620\u5c04\u51fd\u6570\u3002\u5e03\u9686\u8fc7\u6ee4\u5668\u53ef\u4ee5\u7528\u4e8e\u68c0\u7d22\u4e00\u4e2a\u5143\u7d20\u662f\u5426\u5728\u4e00\u4e2a\u96c6\u5408\u4e2d\u3002\u5b83\u7684\u4f18\u70b9\u662f\u7a7a\u95f4\u6548\u7387\u548c\u67e5\u8be2\u65f6\u95f4\u90fd\u8fdc\u8fdc\u8d85\u8fc7\u4e00\u822c\u7684\u7b97\u6cd5\uff0c\u7f3a\u70b9\u662f\u6709\u4e00\u5b9a\u7684\u8bef\u8bc6\u522b\u7387\u548c\u5220\u9664\u56f0\u96be\u3002\u672c\u6587\u7740\u91cd\u4e8e\u5728\u5b9e\u73b0Bloom Filter\u7684\u65f6\u5019\u4f1a\u4f7f\u7528\u5230\u7684\u4e00\u4e9b\u6280\u5de7\u3002<\/p>\n<p><a class=\"excerpt-more\" 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