Upgrade to Pro
— share decks privately, control downloads, hide ads and more …
Speaker Deck
Features
Speaker Deck
PRO
Sign in
Sign up for free
Search
Search
論文紹介:Probabilistic Matrix Factorization
Search
KenjiH
April 28, 2017
Technology
0
730
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
Tweet
Share
More Decks by KenjiH
See All by KenjiH
Quantum Computation and Quantum Information (Chapter 5.4)
kenjih
0
60
Quantum Computation and Quantum Information (Chapter 5.2)
kenjih
0
22
Quantum Computation and Quantum Information (Chapter 3.1)
kenjih
0
83
Quantum Computation and Quantum Information (Chapter 1.1 - 1.3)
kenjih
0
82
Deep Learning with Python Chap.1
kenjih
0
39
Deep Learning with Python Chap.2
kenjih
0
49
Introduction to LSTM
kenjih
0
110
Computer Vision Applications of MRF , CRF and Other Grid Models
kenjih
0
240
AAAI・WSDM 2017論文読み会
kenjih
0
1.3k
Other Decks in Technology
See All in Technology
エンジニアのためのドキュメント力基礎講座〜構造化思考から始めよう〜(2025/02/15jbug広島#15発表資料)
yasuoyasuo
18
6.9k
AndroidXR 開発ツールごとの できることできないこと
donabe3
0
130
クラウドサービス事業者におけるOSS
tagomoris
2
860
CZII - CryoET Object Identification 参加振り返り・解法共有
tattaka
0
380
Amazon S3 Tablesと外部分析基盤連携について / Amazon S3 Tables and External Data Analytics Platform
nttcom
0
140
「海外登壇」という 選択肢を与えるために 〜Gophers EX
logica0419
0
710
JEDAI Meetup! Databricks AI/BI概要
databricksjapan
0
150
Raycast AI APIを使ってちょっと便利な拡張機能を作ってみた / created-a-handy-extension-using-the-raycast-ai-api
kawamataryo
0
100
室長と気ままに学ぶマイクロソフトのビジネスアプリケーションとビジネスプロセス
ryoheig0405
0
370
OpenID BizDay#17 KYC WG活動報告(法人) / 20250219-BizDay17-KYC-legalidentity
oidfj
0
250
Goで作って学ぶWebSocket
ryuichi1208
3
1.6k
Oracle Cloud Infrastructure:2025年2月度サービス・アップデート
oracle4engineer
PRO
1
220
Featured
See All Featured
Facilitating Awesome Meetings
lara
52
6.2k
The Pragmatic Product Professional
lauravandoore
32
6.4k
Visualization
eitanlees
146
15k
Building Your Own Lightsaber
phodgson
104
6.2k
Improving Core Web Vitals using Speculation Rules API
sergeychernyshev
9
450
The Psychology of Web Performance [Beyond Tellerrand 2023]
tammyeverts
46
2.3k
A better future with KSS
kneath
238
17k
What’s in a name? Adding method to the madness
productmarketing
PRO
22
3.3k
Building Adaptive Systems
keathley
40
2.4k
The Language of Interfaces
destraynor
156
24k
Build your cross-platform service in a week with App Engine
jlugia
229
18k
Producing Creativity
orderedlist
PRO
344
39k
Transcript
1SPCBCJMJTUJD.BUSJY'BDUPSJ[BUJPO /*14 จհ Kenji Hayashida
*OUSPEVDUJPO 3 65 7 1SFGFSFODF.BUSJY 6TFS$PF⒏DJFOU .BUSJY 'BDUPS.BUSJY º
/Ϣʔβɺ.ɺ%Ҽࢠ / . / % % .
*OUSPEVDUJPO طଘख๏ ख๏ ֓ཁ ֬తͳҼࢠϞσϧ ධՁมͱӅΕม͕Өڹ͢ ΔΑ͏ͳάϥϑΟΧϧϞσϧ ࣍ݩۙࣅ ೋڑΛ࠷খԽͯ͠ɺ3 657ͱͳΔΑ͏ͳ6
7Λݟ͚ͭΔ ϊϧϜਖ਼ଇԽ 6ɺ7ͷϊϧϜʹϖφϧςΟΛ՝͠ ͯεύʔεͳߦྻΛݟ͚ͭΔ ˞ਤ3FGFSFODFΑΓൈਮ
*OUSPEVDUJPO طଘख๏࣮༻తʹޭͱݴ͑ͳ͍ ڊେͳσʔληοτʹରͯ͠͏·͘εέʔϧͰ͖ͳ͍ ධՁͷճ͕গͳ͍ϢʔβͷQSFEJDUJPOʹۤઓ ౾ࣝ $'ͷίϛϡχςΟͰධՁͷճ͕গͳ͍ϢʔβΛ͋Β͔͡ Ίআڈͯ͠σʔληοτΛ࡞͍ͬͯΔʢͨʁʣΒ͍͠ FY .PWJF-FOTɺ&BDI.PWJF /FUqJYͷσʔληοτϨϏϡʔ͕݅গͳ͍ʢ݅ະຬʣϢʔβؚΉ
ΑΓݱ࣮తͳσʔληοτʂ
1SPCBCJMJTUJD.BUSJY'BDUPSJ[BUJPO 1.' /Ϣʔβ .өը 3JKϢʔβJͷөըKͷධՁʢධՁ,ͷʣ 6㱨3%º/Ϣʔβજࡏม 7㱨3%º.өըજࡏม 3.4&Λ࠷খԽ͢ΔΑ͏ʹΨεϊΠζΛؚΉઢܗϞσϧΛ࠾༻ *JKϢʔβJ͕өըKΛධՁ͍ͯ͠Εɺͯ͠ͳ͚Ε
1SPCBCJMJTUJD.BUSJY'BDUPSJ[BUJPO 1.' Ψε ີؔ ରີؔ f(x) = 1 p 2⇡
2 exp ✓ (x µ) 2 2 2 ◆ ln f ( x ) = 1 2 ln 2 ⇡ 2 ( µ x )2 2 2 ରࣄޙ֬
1SPCBCJMJTUJD.BUSJY'BDUPSJ[BUJPO 1.' ϋΠύʔύϥϝʔλΛݻఆ͠ɺࣄޙ֬࠷େԽ ҎԼͷؔ&ͷ࠷େԽͱಉ ͨͩ͠ ࠷ٸ߱Լ๏Ͱہॴղ͕͑ΒΕΔ
1SPCBCJMJTUJD.BUSJY'BDUPSJ[BUJPO 1.' QSFEJDUJPOͷͱ͖ʹ͕< ,>ͷൣғʹೖΒͳ͍ͱࠔΔͷͰɺϩδεςΟοΫؔ Λ͔·ͤΔ ͞ΒʹධՁҎԼͷΑ͏ʹϚοϐϯά͓ͯ͘͜͠ͱͰɺඞͣൣғʹ͓͞·Δ
"VUPNBUJD$PNQMFYJUZ$POUSPM GPS1.'.PEFMT Ϟσϧͷෳࡶͷௐ͕ඞཁ જࡏϕΫτϧͷ࣍ݩΛม͑Δํ๏ɺσʔληοτ͕ภ͍ͬͯΔ߹ʢϢʔβʹ ΑͬͯධՁ͕ҟͳΔʣɺෆదɻ Е6ɺЕ7ͰෳࡶΛίϯτϩʔϧ͢Δํ͕ॊೈ $SPTT7BMJEBUJPOతʹύϥϝʔλαʔν͢Δͷܭࢉ࣌ؒతʹͭΒ͍
ϋΠύʔύϥϝʔλʹࣄલΛಋೖ ύϥϝʔλɺϋΠύʔύϥϝʔλ྆ํΛಈ͔ͯ͠."1ਪఆ͢Δ͜ͱͰࣗಈνϡʔ χϯά͕Ͱ͖Δʢઌߦݚڀ͋Γʣ
"VUPNBUJD$PNQMFYJUZ$POUSPM GPS1.'.PEFMT ͨͩ͠ɺ 7 6ͷࣄલͷύϥϝʔλ ɺ 6 7ͷࣄલɺฏۉɺٿঢ়ͷࢄΛͭਖ਼نͱͯ͜͠Ε·ͰΛਐ Ί͕ͨɺࣄલͷύϥϝʔλ͕ՄมʹͳΔ ࣄલʹΨεΛ͑ɺ࠷దͳϋΠύʔύϥϝʔλղੳతʹٻΊΒΕΔɻ
ʢ6 7Λݻఆͨ͠߹ʣ ύϥϝʔλͷVQEBUFɺϋΠύʔύϥϝʔλͷVQEBUFΛަޓʹ܁Γฦ͠ͳ͕Β࠷ٸ ߱Լ๏Λߦ͑0,
$POTUSBJOFE1.' ϨϏϡʔͷগͳ͍ϢʔβͷજࡏϕΫτϧࣄલͷฏۉ͔Βಈ͖ʹ͍͘ ʢͳΜͷಛͳ͍ฏۉϢʔβʹͳͬͯ͠·͏ʣ ಉ͡өըΛϨϏϡʔͨ͠ਓࣅͨࣄલΛ࣋ͭΑ͏ʹ੍ΛೖΕΔ *JLϢʔβJ͕өըLΛධՁ͍ͯ͠Εɺͯ͠ͳ͚Ε
$POTUSBJOFE1.' ࠨଆ͕1.'ͷάϥϑΟΧϧϞσϧɺӈଆ͕DPOTUSBJOFE1.'ͷάϥϑΟΧϧϞσϧɻ ˞ਤ3FGFSFODFͷ'JHVSFΑΓൈਮ
&YQFSJNFOUBM3FTVMUT /FUqJY%BUB ܇࿅σʔλ ݅ͷϨϏϡʔ ςετσʔλ
݅ͷϢʔβөըͷΈ߹Θͤ ܇࿅σʔλʹଘࡏ͢ΔϢʔβͷ࠷ۙͷϨϏϡʔ͔ΒαϯϓϦϯά τΠσʔλ ຊจͷݕূͷͨΊɺҎԼͷςετσʔλू߹Λ࡞ ݅ͷϨϏϡʔ͔ΒͳΔ܇࿅σʔλ ܇࿅σʔλͷҎ্ͷϢʔβະຬͷϨϏϡʔ͔͍ͯ͠͠ͳ͍
&YQFSJNFOUBM3FTVMUT ࣄલͷࣗಈௐͰաֶशΛ͛Δ͜ͱΛ֬ೝ 1.'pYFEQSJPS1.'ʢЕ6ɺЕ7ʣ 1.'pYFEQSJPS1.'ʢЕ6ɺЕ7ʣ 1.'"BEPQUJWFQSJPS1.' BEKVTUBCMFNFBOBOETQIFSJDBMDPWBSJBODF 1.'"BEPQUJWFQSJPS1.' BEKVTUBCMFNFBOBOEEJBHPOBMDPWBSJBODF ˞ਤ3FGFSFODFͷ'JHVSFΑΓൈਮ
&YQFSJNFOUBM3FTVMUT ϢʔβͷϨϏϡʔ͕গͳ͍߹ɺDPOTUSBJOFE1.'͕༗༻ ˞ਤ3FGFSFODFͷ'JHVSFΑΓൈਮ
&YQFSJNFOUBM3FTVMUT 1.'ͷ߹ɺϨϏϡʔ͕গͳ͍Ϣʔβʹର͢ΔQSFEJDUJPOϨϏϡʔͷฏۉΛ ฦ͍ͯ͠Δͷͱಉ͡ $POTUSBJOFE1.'ʹ͢Δ͜ͱͰΑ͍݁Ռ͕͑ΒΕΔ ςετσʔλͷதʹͲͷʢϢʔβ өըʣͷλϓϧؚ͕·ΕΔͷͰɺͦͷใΛ܇ ࿅࣌ʹར༻͢Δ͜ͱͰύϑΥʔϚϯε্͕ ˞ਤ3FGFSFODFͷ'JHVSFΑΓൈਮ
4VNNBSZBOE%JTDVTTJPO 1SPCBCJMJTUJD.BUSJY'BDUPSJ[BUJPOΛఏҊ "EPQUJWF1SJPS1.' $POTUSBJOFE1.' ڊେͳөըධՁσʔληοτΛ༻͍ͯɺϞσϧͷ༗༻ੑΛ࣮ূ ·ͱΊ
՝ ύϥϝʔλͷਪఆΛܭࢉ͕ͨ͠ɺύϥϝʔλͷܭࢉ͍ͯ͠ͳ͍ શͳϕΠζΞϓϩʔνΛऔΓ͍ͨ߹ɺ.$.$͢Δ ܭࢉίετେ͖͍͕ɺੑೳ্͕ݟࠐ·ΕΔ
3FGFSFODFT <>l1SPCBCJMJTUJD.BUSJY'BDUPSJ[BUJPO 3VTMBO4BMBLIVUEJOPWBOE"OESJZ.OJI <>l.PEFMJOH6TFS3BUJOH1SPpMFT'PS$PMMBCPSBUJWF'JMUFSJOHz #FOKBNJO.BSMJO