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  \"className\": \"math math-inline\"\n  }, \"u\"), \"\\u4E4B\\u95F4\\u7684\\u76F8\\u4F3C\\u5EA6\", mdx(\"span\", {\n    parentName: \"p\",\n    \"className\": \"math math-inline\"\n  }, \"sim(v_i, u)\"), \"\\uFF0C\\u90A3\\u4E48\\u6211\\u4EEC\\u5C31\\u53EF\\u4EE5\\u901A\\u8FC7\\u8FD9\\u6837\\u4E00\\u4E2A\\u516C\\u5F0F\\u6765\\u8BA1\\u7B97\\u6743\\u91CD\", mdx(\"span\", {\n    parentName: \"p\",\n    \"className\": \"math math-inline\"\n  }, \"w_i\"), \":\"), mdx(\"div\", {\n    \"className\": \"math math-display\"\n  }, \"w_i = \\\\frac{sim(v_i,u)}{\\\\sum_{i=1}^n sim(v_i,u)}\"), mdx(\"p\", null, \"\\u56E0\\u6B64\\u6211\\u4EEC\\u53EF\\u4EE5\\u5F97\\u5230\\u4EE5\\u4E0B\\u516C\\u5F0F\\uFF1A\"), mdx(\"div\", {\n    \"className\": \"math math-display\"\n  }, \"u = \\\\frac{ \\\\sum_{i=1}^n sim(v_i,u)*vi}{\\\\sum_{i=1}^n sim(v_i,u)}\"), mdx(\"p\", null, \"\\u90A3\\u4E48\\u63A5\\u4E0B\\u6765\\u7684\\u95EE\\u9898\\u5C31\\u662F\\u5982\\u4F55\\u53BB\\u8BA1\\u7B97\", mdx(\"span\", {\n    parentName: \"p\",\n    \"className\": \"math math-inline\"\n  }, \"v_i\"), \"\\u548C\", mdx(\"span\", {\n    parentName: \"p\",\n    \"className\": \"math math-inline\"\n  }, \"u\"), \"\\u4E4B\\u95F4\\u7684\\u76F8\\u4F3C\\u5EA6\", mdx(\"span\", {\n    parentName: \"p\",\n    \"className\": \"math math-inline\"\n  }, \"sim(v_i, u)\"), \"\\u4E86\\u3002\"), mdx(\"h2\", null, \"ST-MLV\"), mdx(\"p\", null, \"\\u8BE5\\u6587\\u7AE0\\u7684\\u4E3B\\u8981\\u60F3\\u6CD5\\u5C31\\u662F\\u7ED3\\u5408\\u56DB\\u4E2A\\u73B0\\u6709\\u7684\\u7F3A\\u5931\\u503C\\u586B\\u5145\\u65B9\\u6CD5\\uFF0C\\u5C06\\u4ED6\\u4EEC\\u5F97\\u5230\\u7684\\u4F30\\u8BA1\\u503C\\u8FDB\\u884C\\u7EFC\\u5408\\u5F97\\u5230\\u9884\\u4F30\\u503C\\uFF0C\\u56DB\\u4E2A\\u65B9\\u6CD5\\u5206\\u522B\\u4E3A:\"), mdx(\"ul\", null, mdx(\"li\", {\n    parentName: \"ul\"\n  }, mdx(\"strong\", {\n    parentName: \"li\"\n  }, \"IDW\"), \" (Inverse Distance Weighting)\"), mdx(\"li\", {\n    parentName: \"ul\"\n  }, mdx(\"strong\", {\n    parentName: \"li\"\n  }, \"SES\"), \" (Simple Exponential Smoothing)\"), mdx(\"li\", {\n    parentName: \"ul\"\n  }, mdx(\"strong\", {\n    parentName: \"li\"\n  }, \"UCF\"), \" (User-based Collaborative filtering)\"), mdx(\"li\", {\n    parentName: \"ul\"\n  }, mdx(\"strong\", {\n    parentName: \"li\"\n  }, \"ICF\"), \" (Item-based Collaborative filtering)\")), mdx(\"p\", null, \"\\u56DB\\u4E2A\\u65B9\\u6CD5\\u5206\\u522B\\u4EE3\\u8868\\u4E0D\\u540C\\u7684\", mdx(\"code\", {\n    parentName: \"p\",\n    \"className\": \"language-text\"\n  }, \"view\"), \"\\uFF08\\u4ECE\\u4E0B\\u56FE\\u4E2D\\u53EF\\u4EE5\\u770B\\u51FA\\u770B\\u51FA\\u6BCF\\u79CD\\u65B9\\u6CD5\\u6240\\u4EE3\\u8868\\u7684\", mdx(\"code\", {\n    parentName: \"p\",\n    \"className\": \"language-text\"\n  }, \"view\"), \"\\uFF09\\uFF0C\", mdx(\"strong\", {\n    parentName: \"p\"\n  }, mdx(\"code\", {\n    parentName: \"strong\",\n    \"className\": \"language-text\"\n  }, \"ST-MLV\"), \"\\u7684\\u4E3B\\u8981\\u60F3\\u6CD5\\u5C31\\u662F\\u5148\\u4F7F\\u7528\\u56DB\\u79CD\\u65B9\\u6CD5\\u8BA1\\u7B97\\u51FA\\u7F3A\\u5931\\u503C\\u7684\\u4F30\\u8BA1\\u503C\\uFF0C\\u7136\\u540E\\u5BF9\\u8FD9\\u4E9B\\u4F30\\u8BA1\\u503C\\u8FDB\\u884C\\u52A0\\u6743\\u6C42\\u548C\\uFF08Multi-View Learning)\\uFF0C\\u8FD9\\u91CC\\u6743\\u503C\\u901A\\u8FC7\\u8BAD\\u7EC3\\u5F97\\u5230\\u3002\")), mdx(\"p\", null, mdx(\"img\", {\n    parentName: \"p\",\n    \"src\": \"https://imagehosting.wuxiaobai24.fun/blogimage-20191108160406062.png\",\n    \"alt\": \"image-20191108160406062\"\n  })), mdx(\"p\", null, \"\\u63A5\\u4E0B\\u6765\\uFF0C\\u6211\\u4EEC\\u5206\\u522B\\u4ECB\\u7ECD\\u8FD9\\u4E2A\\u56DB\\u79CD\\u65B9\\u6CD5\\u4EE5\\u53CA Multi-View Learning\\u3002\\u56E0\\u4E3A\\u524D\\u9762\\u4ECB\\u7ECD\\u8FC7\\u8FD9\\u56DB\\u79CD\\u65B9\\u6CD5\\u90FD\\u53EF\\u4EE5\\u540C\\u4E00\\u5230\\u4E00\\u4E2A\\u6846\\u67B6\\u4E0B\\uFF0C\\u5C06\\u95EE\\u9898\\u8F6C\\u5316\\u6210\\u76F8\\u4F3C\\u5EA6\\u8BA1\\u7B97\\u95EE\\u9898\\uFF0C\\u56E0\\u6B64\\u5728\\u540E\\u9762\\u4ECB\\u7ECD\\u7740\\u56DB\\u79CD\\u65B9\\u6CD5\\u7684\\u65F6\\u5019\\uFF0C\\u6211\\u4EEC\\u53EA\\u5206\\u6790\\u5B83\\u5982\\u4F55\\u8BA1\\u7B97\\u76F8\\u4F3C\\u5EA6\\u3002\"), mdx(\"p\", null, mdx(\"strong\", {\n    parentName: \"p\"\n  }, \"\\u4E3A\\u4E86\\u65B9\\u4FBF\\uFF0C\\u5728\\u4E0B\\u9762\\u7684\\u8BA8\\u8BBA\\u4E2D\\uFF0C\\u5047\\u5B9A\\u8981\\u8FDB\\u884C\\u7F3A\\u5931\\u503C\\u586B\\u5145\\u7684\\u503C\\u4E3A\", mdx(\"span\", {\n    parentName: \"strong\",\n    \"className\": \"math math-inline\"\n  }, \"v_{2, j}\"))), mdx(\"h3\", null, \"Global Spatial View - IDW\"), mdx(\"p\", null, \"IDW\\u7684\\u60F3\\u6CD5\\u662F\\u4E24\\u4E2A\\u4F20\\u611F\\u5668\\u5728\\u7A7A\\u95F4\\u4E0A\\u8D8A\\u9760\\u8FD1\\uFF0C\\u90A3\\u4E48\\u4ED6\\u4EEC\\u6240\\u8BB0\\u5F55\\u7684\\u65F6\\u95F4\\u5E8F\\u5217\\u5E94\\u8BE5\\u8D8A\\u76F8\\u4F3C\\uFF0C\\u56E0\\u6B64\\u6211\\u4EEC\\u53EF\\u4EE5\\u4F7F\\u7528\\u4E24\\u4E2A\\u4F20\\u611F\\u5668\\u4E4B\\u95F4\\u8DDD\\u79BB\\u7684\\u5012\\u6570\\u6765\\u4F5C\\u4E3A\\u4ED6\\u4EEC\\u7684\\u76F8\\u4F3C\\u5EA6\\uFF0C\\u540C\\u65F6\\uFF0C\\u4E3A\\u4E86\\u63A7\\u5236\\u6743\\u503C\\u968F\\u7740\\u8DDD\\u79BB\\u589E\\u52A0\\u7684\\u8870\\u51CF\\u901F\\u5EA6\\uFF0C\\u589E\\u52A0\\u4E00\\u4E2A\\u6052\\u4E3A\\u6B63\\u7684\\u6307\\u6570\\uFF1A\"), mdx(\"div\", {\n    \"className\": \"math math-display\"\n  }, \"IDW(v_{i,j}, v_{2,j})=distance(v_{i,j}, v_{2,j})^{-\\\\alpha}\"), mdx(\"p\", null, mdx(\"strong\", {\n    parentName: \"p\"\n  }, \"\\u7531\\u4E8EIDW\\u662F Global View \\uFF0C\\u56E0\\u6B64\\u5B83\\u4F1A\\u5229\\u7528 \", mdx(\"span\", {\n    parentName: \"strong\",\n    \"className\": \"math math-inline\"\n  }, \"t\"), \" \\u65F6\\u523B\\u7684\\u6240\\u6709\\u4F20\\u611F\\u5668\\uFF08\\u4E0D\\u542B\\u7F3A\\u5931\\u503C\\uFF09\\u8FDB\\u884C\\u9884\\u4F30\\uFF08\\u5982\\u4E0B\\u56FE\\u6240\\u793A\\uFF0CIDW\\u5229\\u7528\\u7684\\u662F\\u7EA2\\u6846\\u5185\\u6240\\u6709\\u975E\\u7F3A\\u5931\\u7684\\u503C\\uFF09\\u3002\")), mdx(\"p\", null, mdx(\"img\", {\n    parentName: \"p\",\n    \"src\": \"https://imagehosting.wuxiaobai24.fun/blogimage-20191108215839149.png\",\n    \"alt\": \"image-20191108215839149\"\n  })), mdx(\"h3\", null, \"Global Temporal View - SES\"), mdx(\"p\", null, \"SES\\u7684\\u60F3\\u6CD5\\u662F\\u4E00\\u4E2A\\u4F20\\u611F\\u5668/\\u65F6\\u95F4\\u5E8F\\u5217\\u4E0A\\uFF0C\\u8D8A\\u76F8\\u8FD1\\u7684\\u4E24\\u4E2A\\u65F6\\u523B\\u8D8A\\u76F8\\u4F3C\\u3002\\u5B83\\u501F\\u9274\\u4E86\\u6307\\u6570\\u5E73\\u6ED1\\u6A21\\u578B\", mdx(\"span\", {\n    parentName: \"p\",\n    \"className\": \"math math-inline\"\n  }, \"\\\\hat{v_{gt}}=\\\\beta v_j + \\\\beta (1-\\\\beta)v_j-1 + \\\\cdots + \\\\beta(1-\\\\beta)^{t_j-1}v_1\"), \"\\uFF0C\\u5C06\\u76F8\\u4F3C\\u5EA6\\u8868\\u793A\\u4E3A\\uFF1A\"), mdx(\"div\", {\n    \"className\": \"math math-display\"\n  }, \"SES(v_{2, i}, v_{2,j}) = \\\\beta (1 - \\\\beta)^{|j-i| - 1}\"), mdx(\"p\", null, mdx(\"strong\", {\n    parentName: \"p\"\n  }, \"\\u7531\\u4E8ESES\\u662FGlobal View\\uFF0C\\u56E0\\u6B64\\u5B83\\u4F1A\\u5229\\u7528\\u7B2C \", mdx(\"span\", {\n    parentName: \"strong\",\n    \"className\": \"math math-inline\"\n  }, \"j\"), \" \\u4E2A\\u4F20\\u611F\\u5668\\u6240\\u6709\\u65F6\\u523B\\uFF08\\u4E0D\\u542B\\u7F3A\\u5931\\u503C\\uFF09\\u7684\\u503C\\u6765\\u8FDB\\u884C\\u9884\\u4F30\\uFF08\\u5982\\u4E0B\\u56FE\\u6240\\u793A\\uFF0CSES\\u5229\\u7528\\u7684\\u662F\\u7EA2\\u6846\\u5185\\u6240\\u6709\\u975E\\u7F3A\\u5931\\u7684\\u503C\\uFF09\\u3002\")), mdx(\"p\", null, mdx(\"img\", {\n    parentName: \"p\",\n    \"src\": \"https://imagehosting.wuxiaobai24.fun/blogimage-20191108220309868.png\",\n    \"alt\": \"image-20191108220309868\"\n  })), mdx(\"h3\", null, \"Local View\"), mdx(\"p\", null, \"\\u5728\\u4ECB\\u7ECD UCF \\u548CICF\\u4E4B\\u524D\\uFF0C\\u7531\\u4E8E\\u4ED6\\u4EEC\\u90FD\\u662F\", mdx(\"code\", {\n    parentName: \"p\",\n    \"className\": \"language-text\"\n  }, \"local view\"), \"\\u548C\", mdx(\"code\", {\n    parentName: \"p\",\n    \"className\": \"language-text\"\n  }, \"Collaborative filtering\"), \"\\uFF0C\\u6240\\u4EE5\\u8FD9\\u91CC\\u5148\\u63CF\\u8FF0\\u4E00\\u4E0B\", mdx(\"code\", {\n    parentName: \"p\",\n    \"className\": \"language-text\"\n  }, \"local view\"), \"\\u548C\", mdx(\"code\", {\n    parentName: \"p\",\n    \"className\": \"language-text\"\n  }, \"Collaborative filtering\"), \"\\u3002\"), mdx(\"p\", null, \"\\u9996\\u5148\\uFF0C\", mdx(\"code\", {\n    parentName: \"p\",\n    \"className\": \"language-text\"\n  }, \"local view\"), \"\\u662F\\u8BA1\\u7B97\\u76F8\\u4F3C\\u5EA6\\u65F6\\u53EA\\u8003\\u8651\\u4E00\\u4E2A\\u65F6\\u95F4\\u7A97\\u5185\\u7684\\u6570\\u636E\\uFF0C\\u65F6\\u95F4\\u7A97\\u957F\\u5EA6\\u7531 \", mdx(\"span\", {\n    parentName: \"p\",\n    \"className\": \"math math-inline\"\n  }, \"w\"), \" \\u7ED9\\u5B9A\\uFF0C\\u5982\\u679C\\u7F3A\\u5931\\u503C\\u6240\\u5728\\u7684\\u65F6\\u523B\\u4E3A\", mdx(\"span\", {\n    parentName: \"p\",\n    \"className\": \"math math-inline\"\n  }, \"t\"), \" \\uFF0C\\u5219\\u65F6\\u95F4\\u7A97\\u4E3A\", mdx(\"span\", {\n    parentName: \"p\",\n    \"className\": \"math math-inline\"\n  }, \"[j- \\\\frac {w-1} {2}, j + \\\\frac {w+1} {2}]\"), \"\\u5982\\u4E0B\\u56FE\\uFF0C\\u6211\\u4EEC\\u60F3\\u8981\\u9884\\u6D4B \", mdx(\"span\", {\n    parentName: \"p\",\n    \"className\": \"math math-inline\"\n  }, \"v_{2,j}\"), \"\\uFF0C\\u800C \", mdx(\"span\", {\n    parentName: \"p\",\n    \"className\": \"math math-inline\"\n  }, \"w=2\"), \"\\uFF0C\\u6240\\u4EE5\\u6211\\u4EEC\\u5728\\u8BA1\\u7B97\\u76F8\\u4F3C\\u5EA6\\u7684\\u65F6\\u5019\\u5C31\\u53EA\\u8003\\u8651 \", mdx(\"span\", {\n    parentName: \"p\",\n    \"className\": \"math math-inline\"\n  }, \"t-2\"), \" \\u5230\", mdx(\"span\", {\n    parentName: \"p\",\n    \"className\": \"math math-inline\"\n  }, \"t+2\"), \"\\u7684\\u7684\\u6570\\u636E\\u3002\"), mdx(\"p\", null, mdx(\"img\", {\n    parentName: \"p\",\n    \"src\": \"https://imagehosting.wuxiaobai24.fun/blogimage-20191108221232886.png\",\n    \"alt\": \"image-20191108221232886\"\n  })), mdx(\"h3\", null, \"Local Spatial View - UCF\"), mdx(\"p\", null, \"UCF\\u662F\\u4E00\\u79CD\\u5E38\\u89C1\\u7684\\u63A8\\u8350\\u7B97\\u6CD5\\uFF0C\\u5B83\\u4E3B\\u8981\\u7684\\u60F3\\u6CD5\\u662F\\uFF0C\\u76F8\\u4F3C\\u7684\\u7528\\u6237\\u5BF9\\u4E8E\\u540C\\u4E00\\u4E2A\\u7269\\u54C1\\u7684\\u8BC4\\u5206\\u662F\\u76F8\\u8FD1\\u7684\\u3002\\u5BF9\\u4E8E\\u6211\\u4EEC\\u8FD9\\u4E2A\\u95EE\\u9898\\uFF0C\", mdx(\"strong\", {\n    parentName: \"p\"\n  }, \"\\u4E00\\u4E2A\\u4F20\\u611F\\u5668\\u88AB\\u5F53\\u6210\\u4E00\\u4E2A\\u7528\\u6237\"), \"\\u3002\\u4E24\\u4E2A\\u4F20\\u611F\\u5668\\u7684\\u76F8\\u4F3C\\u5EA6\\u7684\\u8BA1\\u7B97\\u516C\\u5F0F\\u4E3A\\uFF1A\"), mdx(\"div\", {\n    \"className\": \"math math-display\"\n  }, \"UCF(s_i, s) = 1 / {\\\\sqrt{\\\\frac {\\\\sum_{k= j- \\\\frac {w-1} {2}}^{ j + \\\\frac {w+1} {2}} (v_{i,k}-v_{2,k})} {NT}}}\"), mdx(\"p\", null, \"\\u5176\\u4E2D \", mdx(\"span\", {\n    parentName: \"p\",\n    \"className\": \"math math-inline\"\n  }, \"NT\"), \" \\u4E3A\\u65F6\\u95F4\\u7A97\\u5185\\uFF0C\\u4E24\\u4E2A\\u4F20\\u611F\\u5668\\u540C\\u65F6\\u6709\\u8BFB\\u6570\\u7684\\u65F6\\u523B\\u6570\\u3002\"), mdx(\"p\", null, \"\\u56E0\\u4E3A UCF \\u8BA1\\u7B97\\u7684\\u662F\\u4E24\\u4E2A\\u4F20\\u611F\\u5668\\u4E4B\\u95F4\\u7684\\u76F8\\u4F3C\\u5EA6\\uFF0C\\u6309\\u7167\\u4E4B\\u524D\\u63D0\\u5230\\u7684 framework\\uFF0C\\u6211\\u4EEC\\u53EF\\u4EE5\\u628A\\u8FD9\\u4E2A\\u76F8\\u4F3C\\u5EA6\\u4F5C\\u4E3A\\u6743\\u503C\\u5BF9\\u540C\\u4E00\\u65F6\\u523B\\u6240\\u6709\\u4F20\\u611F\\u5668\\u7684\\u8BFB\\u6570\\u8FDB\\u884C\\u52A0\\u6743\\u6C42\\u548C\\u3002\"), mdx(\"p\", null, mdx(\"img\", {\n    parentName: \"p\",\n    \"src\": \"https://imagehosting.wuxiaobai24.fun/blogimage-20191109135949357.png\",\n    \"alt\": \"image-20191109135949357\"\n  })), mdx(\"h3\", null, \"Local Temporal View - ICF\"), mdx(\"p\", null, \"ICF \\u4E5F\\u662F\\u4E00\\u79CD\\u5E38\\u89C1\\u7684\\u63A8\\u8350\\u7B97\\u6CD5\\uFF0C\\u5B83\\u7684\\u4E3B\\u8981\\u60F3\\u6CD5\\u662F\\u67D0\\u4E2A\\u7528\\u6237\\u5BF9\\u76F8\\u4F3C\\u7684\\u7269\\u54C1\\u4F1A\\u505A\\u51FA\\u76F8\\u4F3C\\u7684\\u8BC4\\u5206\\u3002\\u5BF9\\u4E8E\\u6211\\u4EEC\\u8FD9\\u4E2A\\u95EE\\u9898\", mdx(\"strong\", {\n    parentName: \"p\"\n  }, \"\\uFF0C\\u4E00\\u4E2A\\u65F6\\u523B\\u88AB\\u5F53\\u6210\\u4E00\\u4E2A\\u7269\\u54C1\"), \"\\u3002\\u5219\\u4E24\\u4E2A\\u65F6\\u523B\\u7684\\u76F8\\u4F3C\\u5EA6\\u7684\\u8BA1\\u7B97\\u516C\\u5F0F\\u4E3A\\uFF1A\"), mdx(\"div\", {\n    \"className\": \"math math-display\"\n  }, \"sim(t_i, t_2) = 1 / \\\\sqrt {\\\\frac {\\\\sum_{k=i}^m(v_{k,i} - v_{k, 2})} {NS}}\"), mdx(\"p\", null, \"\\u5176\\u4E2D \", mdx(\"span\", {\n    parentName: \"p\",\n    \"className\": \"math math-inline\"\n  }, \"m\"), \" \\u662F\\u4F20\\u611F\\u5668\\u4E2A\\u6570\\uFF0C\", mdx(\"span\", {\n    parentName: \"p\",\n    \"className\": \"math math-inline\"\n  }, \"NS\"), \" \\u662F\\u5728 \", mdx(\"span\", {\n    parentName: \"p\",\n    \"className\": \"math math-inline\"\n  }, \"t_i\"), \" \\u548C \", mdx(\"span\", {\n    parentName: \"p\",\n    \"className\": \"math math-inline\"\n  }, \"t_j\"), \" \\u540C\\u65F6\\u6709\\u8BFB\\u6570\\u7684\\u4F20\\u611F\\u5668\\u7684\\u4E2A\\u6570\\u3002\"), mdx(\"p\", null, 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\"href\": \"https://www.microsoft.com/en-us/research/uploads/prod/2016/06/STMVL-Release.zip\"\n  }, \"source code and data\"))));\n}\n;\nMDXContent.isMDXComponent = true;","excerpt":"这篇文章发表在 IJCAI 2016 上。 解决的问题：如何在 Geo-sensory Time Series 上进行缺失值填充？ 主要的idea：结合 IDW，SES，ICF 和 UCF…","frontmatter":{"title":"ST-MVL: Filling Missing Values in Geo-sensory Time Series Data","tags":["Papers","Time Series","Machine Learning"],"date":"2020-11-09T21:09:55.000Z","categories":["Papers"]},"fields":{"slug":"/posts/2020/11/09/st-mvl/"}}},"pageContext":{"slug":"/posts/2020/11/09/st-mvl/"}},
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