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論文紹介:Probabilistic Matrix Factorization
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KenjiH
April 28, 2017
Technology
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論文紹介:Probabilistic Matrix Factorization
機械学習勉強会(2017/04/29)での発表資料
KenjiH
April 28, 2017
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Transcript
1SPCBCJMJTUJD.BUSJY'BDUPSJ[BUJPO /*14 จհ Kenji Hayashida
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*OUSPEVDUJPO طଘख๏࣮༻తʹޭͱݴ͑ͳ͍ ڊେͳσʔληοτʹରͯ͠͏·͘εέʔϧͰ͖ͳ͍ ධՁͷճ͕গͳ͍ϢʔβͷQSFEJDUJPOʹۤઓ ౾ࣝ $'ͷίϛϡχςΟͰධՁͷճ͕গͳ͍ϢʔβΛ͋Β͔͡ Ίআڈͯ͠σʔληοτΛ࡞͍ͬͯΔʢͨʁʣΒ͍͠ FY .PWJF-FOTɺ&BDI.PWJF /FUqJYͷσʔληοτϨϏϡʔ͕݅গͳ͍ʢ݅ະຬʣϢʔβؚΉ
ΑΓݱ࣮తͳσʔληοτʂ
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1SPCBCJMJTUJD.BUSJY'BDUPSJ[BUJPO 1.' Ψε ີؔ ରີؔ f(x) = 1 p 2⇡
2 exp ✓ (x µ) 2 2 2 ◆ ln f ( x ) = 1 2 ln 2 ⇡ 2 ( µ x )2 2 2 ରࣄޙ֬
1SPCBCJMJTUJD.BUSJY'BDUPSJ[BUJPO 1.' ϋΠύʔύϥϝʔλΛݻఆ͠ɺࣄޙ֬࠷େԽ ҎԼͷؔ&ͷ࠷େԽͱಉ ͨͩ͠ ࠷ٸ߱Լ๏Ͱہॴղ͕͑ΒΕΔ
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"VUPNBUJD$PNQMFYJUZ$POUSPM GPS1.'.PEFMT ͨͩ͠ɺ 7 6ͷࣄલͷύϥϝʔλ ɺ 6 7ͷࣄલɺฏۉɺٿঢ়ͷࢄΛͭਖ਼نͱͯ͜͠Ε·ͰΛਐ Ί͕ͨɺࣄલͷύϥϝʔλ͕ՄมʹͳΔ ࣄલʹΨεΛ͑ɺ࠷దͳϋΠύʔύϥϝʔλղੳతʹٻΊΒΕΔɻ
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