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
780
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
80
Quantum Computation and Quantum Information (Chapter 5.2)
kenjih
0
54
Quantum Computation and Quantum Information (Chapter 3.1)
kenjih
0
94
Quantum Computation and Quantum Information (Chapter 1.1 - 1.3)
kenjih
0
100
Deep Learning with Python Chap.1
kenjih
0
65
Deep Learning with Python Chap.2
kenjih
0
66
Introduction to LSTM
kenjih
0
130
Computer Vision Applications of MRF , CRF and Other Grid Models
kenjih
0
270
AAAI・WSDM 2017論文読み会
kenjih
0
1.4k
Other Decks in Technology
See All in Technology
re:Invent 2025の見どころと便利アイテムをご紹介 / Highlights and Useful Items for re:Invent 2025
yuj1osm
0
220
re:Inventに行くまでにやっておきたいこと
nagisa53
0
600
もう外には出ない。より快適なフルリモート環境を目指して
mottyzzz
13
11k
AWS DMS で SQL Server を移行してみた/aws-dms-sql-server-migration
emiki
0
250
CREが作る自己解決サイクルSlackワークフローに組み込んだAIによる社内ヘルプデスク改革 #cre_meetup
bengo4com
0
350
マルチエージェントのチームビルディング_2025-10-25
shinoyamada
0
200
生成AI時代のPythonセキュリティとガバナンス
abenben
0
140
猫でもわかるAmazon Q Developer CLI 解体新書
kentapapa
1
110
ラスベガスの歩き方 2025年版(re:Invent 事前勉強会)
junjikoide
0
430
What's new in OpenShift 4.20
redhatlivestreaming
0
320
【SORACOM UG Explorer 2025】さらなる10年へ ~ SORACOM MVC 発表
soracom
PRO
0
160
AI時代、“平均値”ではいられない
uhyo
8
2.6k
Featured
See All Featured
The MySQL Ecosystem @ GitHub 2015
samlambert
251
13k
Building Applications with DynamoDB
mza
96
6.7k
The Straight Up "How To Draw Better" Workshop
denniskardys
238
140k
A Modern Web Designer's Workflow
chriscoyier
697
190k
Let's Do A Bunch of Simple Stuff to Make Websites Faster
chriscoyier
508
140k
Creating an realtime collaboration tool: Agile Flush - .NET Oxford
marcduiker
34
2.3k
Visualizing Your Data: Incorporating Mongo into Loggly Infrastructure
mongodb
48
9.7k
It's Worth the Effort
3n
187
28k
10 Git Anti Patterns You Should be Aware of
lemiorhan
PRO
658
61k
How to Ace a Technical Interview
jacobian
280
24k
Imperfection Machines: The Place of Print at Facebook
scottboms
269
13k
Designing Dashboards & Data Visualisations in Web Apps
destraynor
231
53k
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