Large-Scale Behavioral Targeting [Paper Presentation]
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Transcript of Large-Scale Behavioral Targeting [Paper Presentation]
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𝐷 = 𝑥𝑖 , 𝑦𝑖 𝑖=1𝑛
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𝐷 = 𝑥𝑖 , 𝑦𝑖 𝑖=1𝑛
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𝐷 = 𝑥𝑖 , 𝑦𝑖 𝑖=1𝑛
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𝐷 = 𝑥𝑖 , 𝑦𝑖 𝑖=1𝑛
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𝑙 = 𝑖𝑦𝑖 − 𝑙𝑜𝑔 𝑤
𝑇𝑥𝑖 − 𝑤𝑇𝑥𝑖 − 𝑙𝑜𝑔 𝑦𝑖!
𝐷 = 𝑥𝑖 , 𝑦𝑖 𝑖=1𝑛
𝑤
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𝑙 = 𝑖𝑦𝑖 − 𝑙𝑜𝑔 𝑤
𝑇𝑥𝑖 − 𝑤𝑇𝑥𝑖 − 𝑙𝑜𝑔 𝑦𝑖!
𝐷 = 𝑥𝑖 , 𝑦𝑖 𝑖=1𝑛
𝑤
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𝑤⇒
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𝑙 = 𝑖𝑦𝑖 − 𝑙𝑜𝑔 𝑤
𝑇𝑥𝑖 − 𝑤𝑇𝑥𝑖 − 𝑙𝑜𝑔 𝑦𝑖!
𝐷 = 𝑥𝑖 , 𝑦𝑖 𝑖=1𝑛
𝑤
𝑤𝑗
𝜕𝑙
𝜕𝑤𝑗= 𝑖
𝑦𝑖𝜆𝑖𝑥𝑖𝑗 − 𝑥𝑖𝑗 ; 𝜆 = 𝑤
𝑇𝑥
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𝑤𝑗′ ← 𝑤𝑗
𝑖𝑦𝑖𝜆𝑖𝑥𝑖𝑗
𝑖 𝑥𝑖𝑗, 𝑤ℎ𝑒𝑟𝑒 𝜆𝑖 = 𝑤
𝑇𝑥𝑖
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𝐶𝑇𝑅𝑖𝑘 =𝜆𝑖𝑘𝑐𝑙𝑖𝑐𝑘 + 𝛼
𝜆𝑖𝑘𝑣𝑖𝑒𝑤 + 𝛽
, 𝑤ℎ𝑒𝑟𝑒 𝜆𝑖 = 𝑤𝑇𝑥𝑖
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𝐶𝑇𝑅𝑖𝑘 =𝜆𝑖𝑘𝑐𝑙𝑖𝑐𝑘 + 𝛼
𝜆𝑖𝑘𝑣𝑖𝑒𝑤 + 𝛽
, 𝑤ℎ𝑒𝑟𝑒 𝜆𝑖 = 𝑤𝑇𝑥𝑖
𝑖
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𝐶𝑇𝑅𝑖𝑘 =𝜆𝑖𝑘𝑐𝑙𝑖𝑐𝑘 + 𝛼
𝜆𝑖𝑘𝑣𝑖𝑒𝑤 + 𝛽
, 𝑤ℎ𝑒𝑟𝑒 𝜆𝑖 = 𝑤𝑇𝑥𝑖
𝑘
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𝐶𝑇𝑅𝑖𝑘 =𝜆𝑖𝑘𝑐𝑙𝑖𝑐𝑘 + 𝛼
𝜆𝑖𝑘𝑣𝑖𝑒𝑤 + 𝛽
, 𝑤ℎ𝑒𝑟𝑒 𝜆𝑖 = 𝑤𝑇𝑥𝑖
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𝐶𝑇𝑅𝑖𝑘 =𝜆𝑖𝑘𝑐𝑙𝑖𝑐𝑘 + 𝛼
𝜆𝑖𝑘𝑣𝑖𝑒𝑤 + 𝛽
, 𝑤ℎ𝑒𝑟𝑒 𝜆𝑖 = 𝑤𝑇𝑥𝑖
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𝐶𝑇𝑅𝑖𝑘 =𝜆𝑖𝑘𝑐𝑙𝑖𝑐𝑘 + 𝛼
𝜆𝑖𝑘𝑣𝑖𝑒𝑤 + 𝛽
, 𝑤ℎ𝑒𝑟𝑒 𝜆𝑖 = 𝑤𝑇𝑥𝑖
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𝐶𝑇𝑅𝑖𝑘 =𝜆𝑖𝑘𝑐𝑙𝑖𝑐𝑘 + 𝛼
𝜆𝑖𝑘𝑣𝑖𝑒𝑤 + 𝛽
, 𝑤ℎ𝑒𝑟𝑒 𝜆𝑖 = 𝑤𝑇𝑥𝑖
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𝐶𝑇𝑅𝑖𝑘 =𝜆𝑖𝑘𝑐𝑙𝑖𝑐𝑘 + 𝛼
𝜆𝑖𝑘𝑣𝑖𝑒𝑤 + 𝛽
, 𝑤ℎ𝑒𝑟𝑒 𝜆𝑖 = 𝑤𝑇𝑥𝑖
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– 𝑥
– 𝑦
• ×
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# Features 60K 90K 150K 270K 1.2M
ROC area 0.8257 0.8258 0.8267 0.8267 0.8261
Run-time(h) 14.87 13.52 14.07 13.08 16.42
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# Features 60K 90K 150K 270K 1.2M
ROC area 0.8257 0.8258 0.8267 0.8267 0.8261
Run-time(h) 14.87 13.52 14.07 13.08 16.42
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# Features 60K 90K 150K 270K 1.2M
ROC area 0.8257 0.8258 0.8267 0.8267 0.8261
Run-time(h) 14.87 13.52 14.07 13.08 16.42
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# Features 60K 90K 150K 270K 1.2M
ROC area 0.8257 0.8258 0.8267 0.8267 0.8261
Run-time(h) 14.87 13.52 14.07 13.08 16.42
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