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
810
0
Share
Embed
Copy iframe code
Copy JS code
Copy link
Start on current slide
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
More Decks by KenjiH
See All by KenjiH
Quantum Computation and Quantum Information (Chapter 5.4)
kenjih
0
120
Quantum Computation and Quantum Information (Chapter 5.2)
kenjih
0
89
Quantum Computation and Quantum Information (Chapter 3.1)
kenjih
0
140
Quantum Computation and Quantum Information (Chapter 1.1 - 1.3)
kenjih
0
160
Deep Learning with Python Chap.1
kenjih
0
100
Deep Learning with Python Chap.2
kenjih
0
86
Introduction to LSTM
kenjih
0
150
Computer Vision Applications of MRF , CRF and Other Grid Models
kenjih
0
330
AAAI・WSDM 2017論文読み会
kenjih
0
1.4k
Other Decks in Technology
See All in Technology
Bits Agent Builder の⼊⾨と活⽤事例
nulabinc
PRO
0
250
カートの信頼性を担保するWireMockを使ったe2eテスト
ykagano
0
620
AI時代に、人は何を、どう学ぶのか #pbl_pub / What and How Do We Learn in the AI Era?
takaking22
1
180
【GCC2026】大規模言語モデルを活用した内製検索サービスの社内展開や業務活用
bandainamcostudios
PRO
0
350
Invisible to AI? Making TYPO3 Sites Quotable by AI Search Systems
wolfgangwagner
0
240
NANDでも描画したい!
nichica906
0
200
도구에서 동료까지: 10년차 AI 스타트업의 AI 적응기
inureyes
PRO
1
290
AIに狂うスタートアップが、あえて「人との協働」に全振りした新卒エンジニア研修 / New Graduate Engineer Training at a Startup Accelerating AI Adoption
ohnoeight
0
160
【GCC2026】鉄拳8でのVFX開発事例
bandainamcostudios
PRO
0
120
20260817_生成AIの動向と中学校・高等学校での活用を考える_v1.00_公開用
doradora09
PRO
0
140
AIに持続⼒を与える 判断の⻑期記憶設計
eiei114
1
430
属人化を叩き割れ!「制作加速」と「安定化」の矛盾を打破する:8年目プロダクトが辿り着いた「ミスが起こり得ない」アセット制作フローの全貌
gree_tech
PRO
0
120
Featured
See All Featured
Designing Experiences People Love
moore
143
24k
How to Create Impact in a Changing Tech Landscape [PerfNow 2023]
tammyeverts
56
3.4k
Building a A Zero-Code AI SEO Workflow
portentint
PRO
0
680
Fight the Zombie Pattern Library - RWD Summit 2016
marcelosomers
234
17k
Joys of Absence: A Defence of Solitary Play
codingconduct
1
440
Documentation Writing (for coders)
carmenintech
77
5.5k
Un-Boring Meetings
codingconduct
0
390
KATA
mclloyd
PRO
35
15k
Designing Dashboards & Data Visualisations in Web Apps
destraynor
232
55k
How to Grow Your eCommerce with AI & Automation
katarinadahlin
PRO
1
250
Exploring the Power of Turbo Streams & Action Cable | RailsConf2023
kevinliebholz
37
6.6k
The Impact of AI in SEO - AI Overviews June 2024 Edition
aleyda
6
1.2k
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