{"id":3109,"date":"2025-05-14T20:08:41","date_gmt":"2025-05-14T12:08:41","guid":{"rendered":"https:\/\/www.15zhi.net\/blog\/?p=3109"},"modified":"2025-05-14T20:08:41","modified_gmt":"2025-05-14T12:08:41","slug":"202505%e8%ae%ba%e6%96%87%e7%a0%94%e8%af%bb-an-optimized-fp%e2%80%91growth-algorithm-for-discovery-of-association-rules","status":"publish","type":"post","link":"https:\/\/www.15zhi.net\/blog\/202505%e8%ae%ba%e6%96%87%e7%a0%94%e8%af%bb-an-optimized-fp%e2%80%91growth-algorithm-for-discovery-of-association-rules\/","title":{"rendered":"202505\u8bba\u6587\u7814\u8bfb-An optimized FP\u2011growth algorithm for discovery of association rules"},"content":{"rendered":"\n<p>\u4f5c\u8005\uff1aMai Shawkat, Mahmoud Badawi, Sally El-ghamrawy, Reham Arnous, Ali El-desoky<\/p>\n\n\n\n<p>\u53d1\u8868\u671f\u520a\uff1aThe Journal of Supercomputing<\/p>\n\n\n\n<p>\u53d1\u8868\u65e5\u671f\uff1a2021\u5e74<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e00\u3001\u80cc\u666f<\/h2>\n\n\n\n<p><strong>\u5173\u8054\u89c4\u5219\u6316\u6398\u5b9a\u4e49\u4e0e\u91cd\u8981\u6027<\/strong><br>\u5173\u8054\u89c4\u5219\u6316\u6398(ARM)\u662f\u53d1\u73b0\u6570\u636e\u96c6\u5173\u8054\u7684\u6570\u636e\u6316\u6398\u6280\u672f\uff0c\u901a\u8fc7\u652f\u6301\u5ea6\u548c\u7f6e\u4fe1\u5ea6\u8bc4\u4f30\u89c4\u5219\u6709\u6548\u6027\u3002<br><strong>\u4f20\u7edf\u7b97\u6cd5\u53ca\u5c40\u9650\u6027<\/strong><br>Apriori\u7b97\u6cd5\u9700\u591a\u6b21\u626b\u63cf\u6570\u636e\u5e93\uff0c\u5f71\u54cd\u6316\u6398\u901f\u5ea6\uff1b\u590d\u6742\u5019\u9009\u9879\u751f\u6210\u5bfc\u81f4\u8fc7\u591a\u9879\u96c6\u4ea7\u751f\uff0c\u8fd9\u4e24\u4e2a\u95ee\u9898\u662f\u9891\u7e41\u9879\u96c6\u6316\u6398(FIM)\u6548\u7387\u7684\u74f6\u9888\u3002<br><strong>FP-growth\u7b97\u6cd5\u7684\u8fdb\u6b65\u4e0e\u95ee\u9898<\/strong><br>FP-growth\u538b\u7f29\u4fe1\u606f\u5728\u6811\u7ed3\u6784\u4e2d\uff0c\u907f\u514d\u5019\u9009\u751f\u6210\uff0c\u4f46\u4ecd\u9700\u9012\u5f52\u6784\u5efa\u6761\u4ef6FP\u6811\uff0c\u6d88\u8017\u5927\u91cf\u65f6\u95f4\u548c\u5185\u5b58\u3002<br><strong>\u5927\u6570\u636e\u65f6\u4ee3\u7684\u6311\u6218<\/strong><br>\u6570\u636e\u7206\u70b8\u5f0f\u589e\u957f\u4f7f\u4f20\u7edf\u7b97\u6cd5\u9002\u7528\u6027\u964d\u4f4e\uff0c\u76f4\u63a5\u4ece\u6d77\u91cf\u6570\u636e\u53d1\u73b0\u6240\u9700\u89c4\u5219\u53d8\u5f97\u56f0\u96be\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e8c\u3001\u521b\u65b0\u70b9<\/h2>\n\n\n\n<p>\u8fd9\u7bc7\u8bba\u6587\u63d0\u51fa\u4e86\u4e00\u79cd\u6539\u8fdb\u7684FP-growth(MFP-growth)\u7b97\u6cd5\uff0c\u65e8\u5728\u901a\u8fc7\u907f\u514d\u91cd\u590d\u521b\u5efa\u6761\u4ef6\u5b50\u6811\u6765\u63d0\u9ad8FP-growth\u7684\u6548\u7387\u3002\u63d0\u51fa\u7684\u7b97\u6cd5\u4f7f\u7528\u5934\u8868\u914d\u7f6e\u6765\u51cf\u5c11\u6574\u4e2a\u9891\u7e41\u6a21\u5f0f\u6811\u7684\u590d\u6742\u6027\u3002<br><strong>MFP-growth\u7b97\u6cd5\u7684\u4e3b\u8981\u521b\u65b0\u70b9\uff1a<\/strong><br>1\u3001\u4f7f\u7528\u5730\u5740\u8868\u5e03\u5c40\u6765\u8868\u793aMFP\u6811\u4e2d\u7684\u9891\u7e41\u9879\u96c6\uff0c\u8fd9\u51cf\u5c11\u4e86MFP\u6811\u7684\u6620\u5c04\u590d\u6742\u6027<br>2\u3001\u63d0\u51fa\u4e86MFP\u6811\u6316\u6398\u65b9\u6cd5\u7684\u7ed3\u6784\uff0c\u907f\u514d\u4e86\u6784\u5efa\u6761\u4ef6\u6a21\u5f0f\u57fa\u7684\u9700\u6c42\uff0c\u7b80\u5316\u4e86MFP\u6811\u7684\u914d\u7f6e<br>3\u3001\u4e0e\u57fa\u4e8eFP-growth\u7684\u7b97\u6cd5\u76f8\u6bd4\uff0c\u901a\u8fc7\u4f7f\u7528\u5934\u90e8\u5730\u5740\u8868\u548cFP-tree*\uff0c\u63d0\u51fa\u7684\u7b97\u6cd5\u5177\u6709\u66f4\u4f4e\u7684\u5185\u5b58\u9700\u6c42\u548c\u66f4\u9ad8\u7684\u6548\u7387<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e09\u3001MFP-growth\u7b97\u6cd5<\/h2>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"679\" height=\"1024\" src=\"https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/05\/\u622a\u5c4f2025-05-14-19.10.56-679x1024.png\" alt=\"\" class=\"wp-image-3115\" srcset=\"https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/05\/\u622a\u5c4f2025-05-14-19.10.56-679x1024.png 679w, https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/05\/\u622a\u5c4f2025-05-14-19.10.56-199x300.png 199w, https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/05\/\u622a\u5c4f2025-05-14-19.10.56-768x1159.png 768w, https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/05\/\u622a\u5c4f2025-05-14-19.10.56.png 798w\" sizes=\"auto, (max-width: 679px) 100vw, 679px\" \/><\/figure>\n\n\n\n<p><strong>MFP-tree\u7ed3\u6784\uff1a<\/strong><br>MFP-tree\u662f\u4e00\u4e2a\u524d\u7f00\u6811\uff0c\u5177\u6709\u8282\u70b9\u5e03\u5c40\u548c\u9891\u7e41\u9879\u5730\u5740\u8868\uff1b\u5305\u542b\u4e09\u4e2a\u5b57\u6bb5\uff1a\u4e00\u4e2a\u5b57\u6bb5\u7531\u9891\u7e41\u9879\u7684\u8282\u70b9\u5217\u8868\u8868\u793a\uff0c\u800c\u5176\u4ed6\u4e24\u4e2a\u5b57\u6bb5\u643a\u5e26\u9879\u76ee\u548c\u6bcf\u4e2a\u8282\u70b9\u5728\u6574\u4e2a\u8282\u70b9\u5217\u8868\u4e2d\u7684\u603b\u9891\u7e41\u8ba1\u6570\u3002\u5b83\u8fd8\u7ef4\u62a4\u9879\u96c6\u4e4b\u95f4\u7684\u6570\u636e\u3002<br><strong>MFP-tree\u7ed3\u6784\u7684\u4e3b\u8981\u4f18\u52bf\uff1a<\/strong><br>1\u3001\u65e0\u9700\u50cfFP-growth\u90a3\u6837\u91cd\u5efa\u6761\u4ef6FP\u6811\uff0c\u8282\u7701\u4e86\u5185\u5b58\u4f7f\u7528\uff1b<br>2\u3001FP-tree\u7684\u6784\u5efa\u5f88\u5feb\uff0c\u56e0\u4e3a\u4e0d\u9700\u8981\u989d\u5916\u7684\u6210\u672c\u6765\u6d88\u9664\u4e0d\u9891\u7e41\u9879\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"821\" height=\"1024\" src=\"https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/05\/\u622a\u5c4f2025-05-14-12.57.43-821x1024.png\" alt=\"\" class=\"wp-image-3117\" srcset=\"https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/05\/\u622a\u5c4f2025-05-14-12.57.43-821x1024.png 821w, https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/05\/\u622a\u5c4f2025-05-14-12.57.43-241x300.png 241w, https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/05\/\u622a\u5c4f2025-05-14-12.57.43-768x958.png 768w, https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/05\/\u622a\u5c4f2025-05-14-12.57.43.png 954w\" sizes=\"auto, (max-width: 821px) 100vw, 821px\" \/><\/figure>\n\n\n\n<p>1\u3001\u9996\u5148\u901a\u8fc7\u626b\u63cf\u6570\u636e\u5e93\u4e00\u6b21\u627e\u5230\u9891\u7e41\u9879\u96c6<br>2\u3001\u964d\u5e8f\u6392\u5217\u9879\u76ee\u9891\u7387<br>3\u3001\u518d\u6b21\u626b\u63cf\u6570\u636e\u5e93\u5e76\u6784\u5efaMFP\u6811<br>4\u3001MFP-growth\u91c7\u7528\u6df7\u5408\u65b9\u6cd5\u8fdb\u884c\u9891\u7e41\u9879\u96c6\u6316\u6398\u3002\u6bcf\u5f53\u53d1\u73b0\u65b0\u7684\u9891\u7e41\u9879\u96c6\u65f6\uff0c\u9891\u7e41\u9879\u96c6(P)\u5c31\u662f\u8f93\u51fa<br>5\u3001\u901a\u8fc7\u6267\u884cMFP-growth\u6316\u6398\u7a0b\u5e8f\uff0c\u4eceMFP-growth\u6811\u4e2d\u751f\u6210\u6240\u6709\u9891\u7e41\u9879\u96c6<br>6\u3001MFP\u6811\u4e2d\u63a2\u7d22\u7684\u9891\u7e41\u9879\u96c6\u4f7f\u7528&#8221;\u81ea\u4e0b\u800c\u4e0a&#8221;\u7684\u65b9\u6cd5\u4ece\u6700\u540e\u5230\u7b2c\u4e00\u4e2a<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u56db\u3001\u5b9e\u9a8c<\/h2>\n\n\n\n<p><strong>\u5b9e\u9a8c\u4e00\u3001\u5206\u7c7b\u5668\u5904\u7406\u65f6\u95f4<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1008\" height=\"848\" src=\"https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/05\/\u622a\u5c4f2025-05-14-18.00.43.png\" alt=\"\" class=\"wp-image-3119\" srcset=\"https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/05\/\u622a\u5c4f2025-05-14-18.00.43.png 1008w, https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/05\/\u622a\u5c4f2025-05-14-18.00.43-300x252.png 300w, https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/05\/\u622a\u5c4f2025-05-14-18.00.43-768x646.png 768w\" sizes=\"auto, (max-width: 1008px) 100vw, 1008px\" \/><\/figure>\n\n\n\n<p><br>\u5b9e\u9a8c\u4f7f\u7528\u4e86\u6765\u81ea\u52a0\u5dde\u5927\u5b66\u6b27\u6587\u5206\u6821(UCI)\u768412\u4e2a\u4e0d\u540c\u6570\u636e\u96c6\uff0c\u5305\u62ecGlass\u3001Iris\u3001Tic-tac\u3001Breast\u3001Zoo\u3001Heart\u3001Diabetes\u3001Pima\u3001Vote\u3001Balance scale\u3001Mushroom\u548cLed\u3002\u8fd9\u4e9b\u6570\u636e\u96c6\u5177\u6709\u4e0d\u540c\u7684\u5927\u5c0f\u548c\u7c7b\u522b\u6570\u91cf\u3002<\/p>\n\n\n\n<p>\u5b9e\u9a8c\u8bc4\u4f30\u4e86MFP-growth\u7b97\u6cd5\u5728\u5206\u7c7b\u4efb\u52a1\u4e2d\u7684\u6027\u80fd\uff0c\u5e76\u4e0eCBA\u548cAPR\u7b97\u6cd5\u8fdb\u884c\u4e86\u6bd4\u8f83\u3002\u5728\u6240\u6709\u5b9e\u9a8c\u4e2d\uff0c\u6700\u5c0f\u652f\u6301\u5ea6\u548c\u6700\u5c0f\u7f6e\u4fe1\u5ea6\u5206\u522b\u8bbe\u7f6e\u4e3a2%\u548c30%\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"676\" src=\"https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/05\/\u622a\u5c4f2025-05-14-17.58.02-1024x676.png\" alt=\"\" class=\"wp-image-3120\" srcset=\"https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/05\/\u622a\u5c4f2025-05-14-17.58.02-1024x676.png 1024w, https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/05\/\u622a\u5c4f2025-05-14-17.58.02-300x198.png 300w, https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/05\/\u622a\u5c4f2025-05-14-17.58.02-768x507.png 768w, https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/05\/\u622a\u5c4f2025-05-14-17.58.02.png 1284w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u5b9e\u9a8c\u7ed3\u679c\u663e\u793a\uff0cMFP-growth\u5728\u6240\u6709\u6570\u636e\u96c6\u4e0a\u90fd\u6bd4CBA\u548cAPR\u9700\u8981\u66f4\u5c11\u7684\u5206\u7c7b\u5668\u6784\u5efa\u65f6\u95f4\u3002\u8fd9\u79cd\u6027\u80fd\u4f18\u52bf\u4e3b\u8981\u5f52\u56e0\u4e8eMFP-growth\u7684\u526a\u679d\u7a0b\u5e8f\uff0c\u5b83\u907f\u514d\u4e86\u6761\u4ef6\u5b50\u6811\u7684\u751f\u6210\u3002<\/p>\n\n\n\n<p>\u867d\u7136APR\u5206\u7c7b\u5668\u6bd4CBA\u9700\u8981\u8f83\u5c11\u7684\u6267\u884c\u65f6\u95f4\uff0c\u4f46MFP-growth\u4ecd\u7136\u663e\u793a\u4e86\u6700\u4f73\u6027\u80fd\uff0c\u7279\u522b\u662f\u5728\u5305\u542b\u5927\u91cf\u6570\u636e\u7684&#8221;Mushroom&#8221;\u548c&#8221;Led&#8221;\u6570\u636e\u96c6\u4e0a\u3002<\/p>\n\n\n\n<p><strong>\u5b9e\u9a8c\u4e8c\u3001\u6267\u884c\u65f6\u95f4\u8bc4\u4f30<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"966\" height=\"444\" src=\"https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/05\/\u622a\u5c4f2025-05-14-18.08.05.png\" alt=\"\" class=\"wp-image-3122\" srcset=\"https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/05\/\u622a\u5c4f2025-05-14-18.08.05.png 966w, https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/05\/\u622a\u5c4f2025-05-14-18.08.05-300x138.png 300w, https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/05\/\u622a\u5c4f2025-05-14-18.08.05-768x353.png 768w\" sizes=\"auto, (max-width: 966px) 100vw, 966px\" \/><\/figure>\n\n\n\n<p>\u5b9e\u9a8c\u5728Spark\u5e73\u53f0\u4e0a\u8bc4\u4f30\u4e86MFP-growth\u4e0ePFP\u3001PAPT-growth\u3001DFIMA\u548cYAFIM\u7b49\u6700\u65b0\u9891\u7e41\u9879\u96c6\u6316\u6398\u7b97\u6cd5\u7684\u6027\u80fd\uff0c\u4e3b\u8981\u6d4b\u8bd5\u5904\u7406\u5927\u89c4\u6a21\u6570\u636e\u5e93\u7684\u6267\u884c\u65f6\u95f4\u3002<\/p>\n\n\n\n<p>\u5b9e\u9a8c\u4f7f\u7528\u4e86\u591a\u79cd\u771f\u5b9e\u548c\u5408\u6210\u6570\u636e\u96c6\uff0c\u5305\u62ecMushroom\u3001Accidents\u3001KddCup99\u3001Kosarak(\u771f\u5b9e\u6570\u636e\u96c6)\u4ee5\u53caT10I4D100K\u548cT40I10D100K(\u5408\u6210\u6570\u636e\u96c6)\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1242\" height=\"732\" src=\"https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/05\/\u622a\u5c4f2025-05-14-18.10.29.png\" alt=\"\" class=\"wp-image-3123\" srcset=\"https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/05\/\u622a\u5c4f2025-05-14-18.10.29.png 1242w, https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/05\/\u622a\u5c4f2025-05-14-18.10.29-300x177.png 300w, https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/05\/\u622a\u5c4f2025-05-14-18.10.29-1024x604.png 1024w, https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/05\/\u622a\u5c4f2025-05-14-18.10.29-768x453.png 768w\" sizes=\"auto, (max-width: 1242px) 100vw, 1242px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"604\" src=\"https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/05\/\u622a\u5c4f2025-05-14-18.10.44-1024x604.png\" alt=\"\" class=\"wp-image-3124\" srcset=\"https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/05\/\u622a\u5c4f2025-05-14-18.10.44-1024x604.png 1024w, https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/05\/\u622a\u5c4f2025-05-14-18.10.44-300x177.png 300w, https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/05\/\u622a\u5c4f2025-05-14-18.10.44-768x453.png 768w, https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/05\/\u622a\u5c4f2025-05-14-18.10.44.png 1242w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"604\" src=\"https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/05\/\u622a\u5c4f2025-05-14-18.11.01-1024x604.png\" alt=\"\" class=\"wp-image-3125\" srcset=\"https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/05\/\u622a\u5c4f2025-05-14-18.11.01-1024x604.png 1024w, https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/05\/\u622a\u5c4f2025-05-14-18.11.01-300x177.png 300w, https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/05\/\u622a\u5c4f2025-05-14-18.11.01-768x453.png 768w, https:\/\/www.15zhi.net\/blog\/wp-content\/uploads\/2025\/05\/\u622a\u5c4f2025-05-14-18.11.01.png 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