{"id":896,"date":"2022-07-18T00:17:44","date_gmt":"2022-07-17T16:17:44","guid":{"rendered":"https:\/\/kylelv.com\/?p=896"},"modified":"2022-07-18T00:17:44","modified_gmt":"2022-07-17T16:17:44","slug":"coco-sketch","status":"publish","type":"post","link":"https:\/\/blog.kylelv.com\/?p=896","title":{"rendered":"Coco Sketch"},"content":{"rendered":"\n<p>Space Saving\u7b97\u6cd5<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>\u5982\u679c\u5143\u7d20\u5728\u96c6\u5408\u4e2d\uff0c\u5c06\u5176\u5bf9\u5e94\u7684\u8ba1\u6570\u5668\u81ea\u589e\uff1b<\/li><li>\u5982\u679c\u5143\u7d20\u4e0d\u5728\u96c6\u5408\u4e2d\u4e14\u96c6\u5408\u672a\u6ee1\uff0c\u5c31\u5c06\u5143\u7d20\u52a0\u5165\u96c6\u5408\uff0c\u8ba1\u6570\u5668\u8bbe\u4e3a1\uff1b<\/li><li>\u5982\u679c\u5143\u7d20\u4e0d\u5728\u96c6\u5408\u4e2d\u4e14\u96c6\u5408\u5df2\u6ee1\uff0c\u5c06\u96c6\u5408\u5185\u8ba1\u6570\u5668\u503c\u6700\u5c0f\u7684\u5143\u7d20\u79fb\u9664\uff0c\u5c06\u65b0\u5143\u7d20\u63d2\u5165\u5230\u5b83\u7684\u4f4d\u7f6e\uff0c\u5e76\u4e14\u5728\u539f\u8ba1\u6570\u503c\u7684\u57fa\u7840\u4e0a\u81ea\u589e\u3002<\/li><\/ul>\n\n\n\n<p>\u8fd9\u6837\u64cd\u4f5c\u7684\u597d\u5904\u662f\uff0c\u6240\u6709\u8ba1\u6570\u5668\u7684\u548c\u4e00\u5b9a\u7b49\u4e8e\u6570\u636e\u6d41\u7684\u603b\u5143\u7d20\u6570m\uff08\u56e0\u4e3a\u4e0d\u9700\u8981\u505a\u51cf\u6cd5\uff0c\u53ea\u9700\u8981\u81ea\u589e\uff09\uff0c\u4e14\u90a3\u4e9b\u6ca1\u6709\u88ab\u79fb\u9664\u8fc7\u7684\u5143\u7d20\u7684\u8ba1\u6570\u503c\u662f\u51c6\u786e\u7684\u3002\u5bb9\u6613\u5206\u6790\u5f97\u51fa\uff1a<\/p>\n\n\n\n<p>\u96c6\u5408\u4e2d\u6700\u5c0f\u7684\u8ba1\u6570\u503cmin\u4e00\u5b9a\u4e0d\u4f1a\u5927\u4e8em \/ k = \u03b5m\uff0c\u540c\u65f6\u80fd\u591f\u4fdd\u8bc1\u627e\u51fa\u6240\u6709\u9891\u7387\u5927\u4e8e\u03b5m\u7684\u5143\u7d20\uff1b<br>\u5143\u7d20\u51fa\u73b0\u9891\u7387\u7684\u4f30\u8ba1\u8bef\u5dee\u540c\u6837\u5728\u03b5m\u7684\u8303\u56f4\u5185\uff0c\u4e0d\u8fc7\u4f1a\u504f\u9ad8\uff1b<br>Space Saving\u7b97\u6cd5\u4e5f\u6709\u5047\u9633\u6027\u7684\u95ee\u9898\uff0c\u7279\u522b\u662f\u5728\u975e\u9891\u7e41\u9879\u96c6\u4e2d\u4f4d\u4e8e\u6d41\u7684\u672b\u5c3e\u65f6\u3002<\/p>\n\n\n\n<p>Unbiased Space Saving\u7b97\u6cd5<\/p>\n\n\n\n<p>\u5728\u66ff\u6362\u66f4\u65b0\u7684\u65f6\u5019\u5fc5\u7136\u4ea7\u751f\u6709\u504f\u8bef\u5dee\uff0c\u53ef\u4ee5\u76f4\u89c2\u7684\u770b\u51fa\u5f53\u8ba1\u6570\u5668\u503c\u8d8a\u5927\uff0c\u4ed6\u53d8\u66f4\u7684\u60e9\u7f5a\u4ee3\u4ef7\u8d8a\u5927\u3002\u56e0\u6b64\u6211\u4eec\u66f4\u6539\u4e00\u4e0b\u7b56\u7565\uff0c\u6211\u4eec\u4ee51\/(\u539f\u503c+1)\u7684\u6982\u7387\u628a\u5b83\u66ff\u6362\u4e3a\u65b0\u5143\u7d20\uff0c\u5426\u5219\u4fdd\u6301\u4e0d\u53d8<\/p>\n\n\n\n<p><\/p>\n\n\n\n<p>CocoSketch<\/p>\n\n\n\n<p>\u63d0\u51fa\u4e86\u4efb\u610f\u90e8\u5206\u952e\u67e5\u8be2\u65b9\u6cd5<\/p>\n\n\n\n<p>\u73b0\u6709\u65b9\u6848\u7684\u5c40\u9650\u6027\uff1a<\/p>\n\n\n\n<p>One single-key sketch per key\uff1a\u4e3a\u6bcf\u4e2a\u952e\u521b\u5efa\u5355\u72ecsketch \u663e\u7136\u53ef\u4ee5\u53d1\u73b0\u5f88\u53ef\u80fd\u9700\u8981sketch\u4e2a\u6570\u975e\u5e38\u591a\uff0c\u800c\u5360\u7528\u8fc7\u591a\u5185\u5b58\u65e0\u6cd5\u5408\u7406\u7684\u5b9e\u73b0<\/p>\n\n\n\n<p>Full-key sketch with post recovery: \u5148\u6309\u5168\u952e\u5efa\u7acbsketch\u5e76\u67e5\u8be2\u65f6\u5019\u8fdb\u884c\u7edf\u8ba1\uff0c\u4f46\u6309\u7167\u5982\u4e0b\u4e24\u4e2a\u65b9\u5f0f\u90fd\u4e0d\u7406\u60f3\uff1a1\uff09\u76f4\u63a5\u67e5\u8be2\u6240\u6709\u53ef\u80fd\u7684\u952e\u503c\u5bf9\u5e94\u7684\u6d41\uff0c\u4f46\u663e\u7136\u67e5\u8be2\u8303\u56f4\u8fc7\u5927\uff0c\u65e0\u6cd5\u5b9e\u73b0\uff1b2\uff09\u53ea\u7edf\u8ba1sketch\u663e\u5f0f\u8bb0\u5f55\u7684\u5bf9\u5e94\u5168\u952e\uff0c\u8fd9\u6837\u8bef\u5dee\u79ef\u7d2f\u4f1a\u4ea7\u751f\u8f83\u5927\u8bef\u5dee<\/p>\n\n\n\n<p>Subset sum estimation: \u5982USS\u7b97\u6cd5\uff0c\u4f46\u7531\u4e8e\u5176\u66f4\u65b0\u5ef6\u65f6\u8f83\u9ad8\uff0c\u4ecd\u6709\u5c40\u9650\u6027\uff0c\u56e0\u6b64\u63d0\u51fa\u4e86cocosketch<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"314\" src=\"https:\/\/kylelv.com\/wp-content\/uploads\/2022\/07\/QQ20220717-235620@2x-1024x314.png\" alt=\"\" class=\"wp-image-897\" srcset=\"https:\/\/blog.kylelv.com\/wp-content\/uploads\/2022\/07\/QQ20220717-235620@2x-1024x314.png 1024w, https:\/\/blog.kylelv.com\/wp-content\/uploads\/2022\/07\/QQ20220717-235620@2x-300x92.png 300w, https:\/\/blog.kylelv.com\/wp-content\/uploads\/2022\/07\/QQ20220717-235620@2x-768x236.png 768w, https:\/\/blog.kylelv.com\/wp-content\/uploads\/2022\/07\/QQ20220717-235620@2x-1536x471.png 1536w, https:\/\/blog.kylelv.com\/wp-content\/uploads\/2022\/07\/QQ20220717-235620@2x.png 1924w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>Basic CocoSketch<\/p>\n\n\n\n<p>\u5c06\u6bcf\u4e2a\u4f20\u8fdb\u6765\u7684packet \u5b9a\u4e49\u4e3a\uff08e\uff0cw\uff09\uff0ce\u4ee3\u8868\u4e00\u4e2a\u7279\u5b9a\u7684 full key\uff0cw\u662f\u5b83\u7684\u589e\u91cf\u5927\u5c0f\u3002\u5982\u4f55\u5c06packet\uff08e\uff0cw\uff09\u63d2\u5165\u5230sketch\uff1f\u9996\u5148\u6839\u636ed\u4e2a\u6570\u7ec4\u7684\u54c8\u5e0c\u51fd\u6570\uff0c\u5206\u522b\u5c06\u6d41\u952e e \u6620\u5c04\u5230 d\u4e2aarray\u7684bucket\u4e2d\uff0c\u518d\u6839\u636e \u968f\u673a\u65b9\u5dee\u6700\u5c0f\u5316 \u6765\u51b3\u5b9a\u66f4\u65b0\u54ea\u4e2abucket\u7684\u503c\u3002\u8fd9\u91cc\u6709\u4e24\u79cd\u60c5\u51b5\uff1a<\/p>\n\n\n\n<p>\uff081\uff09\u5982\u679c e \u5339\u914d\u5230 d \u4e2abucket\u4e2d\u7684\u4efb\u610f\u4e00\u4e2a\uff0c\u76f4\u63a5\u4ee5\u589e\u91cfw\u589e\u52a0bucket\u7684\u503c\uff0c\u7136\u540e\u8fd4\u56de\u3002<\/p>\n\n\n\n<p>\uff082\uff09\u5982\u679c e \u5339\u914d\u4e0d\u5230\uff0c\u5219\u627e\u5230\u5176\u4e2dvalue\u503c\u6700\u5c0f\u7684bucket\uff08\u5047\u8bbe\u662f\uff0c\u5176\u4e2d\u4ee3\u8868\u5bf9\u5176\u505a\u54c8\u5e0c\u6563\u5217\uff09\uff0c\u7ed9\u5b83\u7684value\u503c\u589e\u52a0 w \uff0c\u7136\u540e\u4ee5\u6982\u7387 \u7528\u65b0\u6765\u7684\u952e e \u66ff\u6362\u6389\u539f\u6765\u7684\u952e\u3002\u5982\u679c\u6709\u591a\u4e2abucket\u7684value\u503c\u4e00\u6837\u4e14\u6700\u5c0f\uff0c\u968f\u673a\u9009\u4e00\u4e2a\u66f4\u65b0\u3002<\/p>\n\n\n\n<p>Hardware-friendly insertion<\/p>\n\n\n\n<p>\u6d88\u9664\u5faa\u73af\u4f9d\u8d56\uff0c\u63d0\u9ad8\u5e76\u884c\u5ea6\uff0c\u63d0\u5347\u786c\u4ef6\u8d44\u6e90\u7684\u5229\u7528\u7387<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/kylelv.com\/wp-content\/uploads\/2022\/07\/image-1.png\" alt=\"\" class=\"wp-image-900\" width=\"417\" height=\"264\" srcset=\"https:\/\/blog.kylelv.com\/wp-content\/uploads\/2022\/07\/image-1.png 876w, https:\/\/blog.kylelv.com\/wp-content\/uploads\/2022\/07\/image-1-300x190.png 300w, https:\/\/blog.kylelv.com\/wp-content\/uploads\/2022\/07\/image-1-768x486.png 768w\" sizes=\"auto, (max-width: 417px) 100vw, 417px\" \/><\/figure>\n\n\n\n<p>\u6211\u4eec\u5c06\u539f\u5148\u7684\u66f4\u65b0\u4fee\u6539\u4e3a\u5bf9\u4e8e\u6bcf\u4e2abucket\u90fd\u8fdb\u884c\u66f4\u65b0\uff0c\u800c\u4e0d\u662f\u9009\u62e9\u6700\u5c0f\u7684\uff0c\u8fd9\u6837\u6211\u4eec\u76f8\u5f53\u4e8e\u72ec\u7acb\u8fdb\u884c\u4e86d\u6b21\u7684\u66f4\u65b0\u64cd\u4f5c\uff0c\u540c\u65f6\u6211\u4eec\u53ef\u4ee5\u5c06val\u548ckey\u5206\u79bb\uff0c\u8fd9\u6837\u66f4\u63d0\u9ad8\u4e86\u5e76\u884c\u5ea6<\/p>\n\n\n\n<p>\u67e5\u8be2\u64cd\u4f5c\uff1a<\/p>\n\n\n\n<p>\u6211\u4eec\u9996\u5148\u901a\u8fc7\u67e5\u8be2\u8bb0\u5f55\u7684\u5168\u952e\u6d41\u7684sketch\uff0c\u6784\u5efa\u4e00\u4e2a\u5305\u542b\u4e24\u5217\uff08\u5168\u952e\uff0c\u5927\u5c0f\uff09\u7684\u8868\uff08\u5373\uff0c\u6bcf\u4e2a\u8bb0\u5f55\u6d41\u7684\u4f30\u8ba1\u5927\u5c0f\u7684\u8868\uff09\u3002<\/p>\n\n\n\n<p>\u5728 \u786c\u4ef6\u53cb\u597d\u7684CocoSketch \u4e2d\uff0c\u7531\u4e8e\u4e00\u4e2a\u6d41\u53ef\u80fd\u51fa\u73b0\u5728\u591a\u4e2aarray\u4e2d\uff0c\u56e0\u6b64\u6211\u4eec\u5c06\u4ee5\u4e0d\u540carray\u4e2d\u7684\u4e2d\u503c\u4f30\u8ba1\u5927\u5c0f\u4f5c\u4e3a\u5176\u6700\u7ec8\u4f30\u8ba1\u5927\u5c0f\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Space Saving\u7b97\u6cd5 \u5982\u679c\u5143\u7d20\u5728\u96c6\u5408\u4e2d\uff0c\u5c06\u5176\u5bf9\u5e94\u7684\u8ba1\u6570\u5668\u81ea\u589e\uff1b \u5982\u679c\u5143\u7d20\u4e0d\u5728\u96c6\u5408\u4e2d\u4e14\u96c6\u5408\u672a\u6ee1\uff0c\u5c31\u5c06\u5143\u7d20 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-896","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=\/wp\/v2\/posts\/896","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=896"}],"version-history":[{"count":2,"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=\/wp\/v2\/posts\/896\/revisions"}],"predecessor-version":[{"id":901,"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=\/wp\/v2\/posts\/896\/revisions\/901"}],"wp:attachment":[{"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=896"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=896"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=896"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}