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
·
Your Podcast. Everywhere. Effortlessly.
Share. Educate. Inspire. Entertain. You do you. We'll handle the rest.
→
KenjiH
April 28, 2017
Technology
0
790
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
100
Quantum Computation and Quantum Information (Chapter 5.2)
kenjih
0
68
Quantum Computation and Quantum Information (Chapter 3.1)
kenjih
0
100
Quantum Computation and Quantum Information (Chapter 1.1 - 1.3)
kenjih
0
110
Deep Learning with Python Chap.1
kenjih
0
78
Deep Learning with Python Chap.2
kenjih
0
72
Introduction to LSTM
kenjih
0
130
Computer Vision Applications of MRF , CRF and Other Grid Models
kenjih
0
300
AAAI・WSDM 2017論文読み会
kenjih
0
1.4k
Other Decks in Technology
See All in Technology
22nd ACRi Webinar - NTT Kawahara-san's slide
nao_sumikawa
0
100
Codex 5.3 と Opus 4.6 にコーポレートサイトを作らせてみた / Codex 5.3 vs Opus 4.6
ama_ch
0
190
FinTech SREのAWSサービス活用/Leveraging AWS Services in FinTech SRE
maaaato
0
130
【Oracle Cloud ウェビナー】[Oracle AI Database + AWS] Oracle Database@AWSで広がるクラウドの新たな選択肢とAI時代のデータ戦略
oracle4engineer
PRO
2
180
クレジットカード決済基盤を支えるSRE - 厳格な監査とSRE運用の両立 (SRE Kaigi 2026)
capytan
6
2.8k
会社紹介資料 / Sansan Company Profile
sansan33
PRO
15
400k
モダンUIでフルサーバーレスなAIエージェントをAmplifyとCDKでサクッとデプロイしよう
minorun365
4
220
usermode linux without MMU - fosdem2026 kernel devroom
thehajime
0
240
プロダクト成長を支える開発基盤とスケールに伴う課題
yuu26
4
1.4k
コスト削減から「セキュリティと利便性」を担うプラットフォームへ
sansantech
PRO
3
1.6k
SREのプラクティスを用いた3領域同時 マネジメントへの挑戦 〜SRE・情シス・セキュリティを統合した チーム運営術〜
coconala_engineer
2
720
SREチームをどう作り、どう育てるか ― Findy横断SREのマネジメント
rvirus0817
0
320
Featured
See All Featured
A Modern Web Designer's Workflow
chriscoyier
698
190k
DBのスキルで生き残る技術 - AI時代におけるテーブル設計の勘所
soudai
PRO
62
50k
Helping Users Find Their Own Way: Creating Modern Search Experiences
danielanewman
31
3.1k
Ecommerce SEO: The Keys for Success Now & Beyond - #SERPConf2024
aleyda
1
1.8k
Fashionably flexible responsive web design (full day workshop)
malarkey
408
66k
A Guide to Academic Writing Using Generative AI - A Workshop
ks91
PRO
0
210
The Hidden Cost of Media on the Web [PixelPalooza 2025]
tammyeverts
2
190
SEO for Brand Visibility & Recognition
aleyda
0
4.2k
Taking LLMs out of the black box: A practical guide to human-in-the-loop distillation
inesmontani
PRO
3
2k
Into the Great Unknown - MozCon
thekraken
40
2.3k
Heart Work Chapter 1 - Part 1
lfama
PRO
5
35k
Neural Spatial Audio Processing for Sound Field Analysis and Control
skoyamalab
0
170
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