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
Sponsored
·
Ship Features Fearlessly
Turn features on and off without deploys. Used by thousands of Ruby developers.
→
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
86
Quantum Computation and Quantum Information (Chapter 3.1)
kenjih
0
120
Quantum Computation and Quantum Information (Chapter 1.1 - 1.3)
kenjih
0
150
Deep Learning with Python Chap.1
kenjih
0
100
Deep Learning with Python Chap.2
kenjih
0
86
Introduction to LSTM
kenjih
0
140
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
エンジニアリング戦略の作り方 / Crafting Engineering Strategy
iwashi86
21
6.7k
Disciplined Vibes: Scaling AI-Assisted Engineering
sheharyar
0
140
AWSシリコン最前線 〜AI時代のチップ選択を読み解く〜
htokoyo
2
520
2026 TECHFRESH 畢業分享會 - AI-Native 重塑軟體工程與虛擬講師
line_developers_tw
PRO
0
880
スキルと MCP ツール、責務をどう分けるか? AI が迷わないインターフェース設計の戦略
cdataj
1
980
RSA暗号を手計算したくなること、ありますよね?? (20260615_orestudy6_rsa)
thousanda
0
300
Claude Codeをどのように キャッチアップしているか
oikon48
12
6.6k
Socrates × Looker 〜セマンティックレイヤーで進化するデータ分析エージェント〜
hanon52_
3
2.2k
タクシーアプリ『GO』の実践的データ活用
mot_techtalk
3
190
AIソロプレナー時代に2ヶ月で20人増員した事業創造会社の開発組織の話
miyatakoji
0
610
脆弱性対応、どこで線を引くか
rymiyamoto
1
380
AAIFに入ってみた ~内から見えるコミュニティ動向~
sato4
0
180
Featured
See All Featured
The innovator’s Mindset - Leading Through an Era of Exponential Change - McGill University 2025
jdejongh
PRO
1
200
svc-hook: hooking system calls on ARM64 by binary rewriting
retrage
2
290
Making the Leap to Tech Lead
cromwellryan
135
9.9k
JAMstack: Web Apps at Ludicrous Speed - All Things Open 2022
reverentgeek
1
470
Measuring & Analyzing Core Web Vitals
bluesmoon
9
860
Max Prin - Stacking Signals: How International SEO Comes Together (And Falls Apart)
techseoconnect
PRO
0
180
More Than Pixels: Becoming A User Experience Designer
marktimemedia
3
440
Have SEOs Ruined the Internet? - User Awareness of SEO in 2025
akashhashmi
0
370
[Rails World 2023 - Day 1 Closing Keynote] - The Magic of Rails
eileencodes
38
2.9k
HDC tutorial
michielstock
2
700
Being A Developer After 40
akosma
91
590k
SEOcharity - Dark patterns in SEO and UX: How to avoid them and build a more ethical web
sarafernandez
0
200
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