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
B3_Seminar_05
Search
Sponsored
·
Your Podcast. Everywhere. Effortlessly.
Share. Educate. Inspire. Entertain. You do you. We'll handle the rest.
→
kakubari
February 24, 2017
Technology
93
0
Share
B3_Seminar_05
ビックデータ解析入門3
kakubari
February 24, 2017
More Decks by kakubari
See All by kakubari
動詞クエリの語間の関係性に基づくクエリマイニング
kakubari
0
130
Neural Modeling of Multi-Predicate Interactions for Japanese Predicate Argument Structure Analysis
kakubari
1
190
Leveraging Crowdsourcing for Paraphrase Recognition
kakubari
0
110
Automatically Acquired Lexical Knowledge Improves Japanese Joint Morphological and Dependency Analysis
kakubari
0
110
Labeling the Semantic Roles of Commas
kakubari
0
96
Integrating Case Frame into Japanese to Chinese Hierarchical Phrase-based Translation Model
kakubari
0
130
Improving Chinese Semantic Role Labelingusing High-quality Surface and Deep Case Frames
kakubari
0
97
Exploring Verb Frames for Sentence Simplification in Hindi
kakubari
0
150
述語項構造と照応関係のアノテーション
kakubari
0
260
Other Decks in Technology
See All in Technology
ボトムアップの改善の火を灯し続けろ!〜支援現場で学んだ、消えないための3つの打ち手〜 / 20260509 Kazuki Mori
shift_evolve
PRO
2
620
The 7 pitfalls of AI
ufried
0
200
Claude Code / Codex / Kiro に AWS 権限を 渡すとき、何を設計すべきか
k_adachi_01
4
740
AIと乗り切った1,500ページ超のヘルプサイト基盤刷新とさらにその先の話
mugi_uno
2
330
AIの揺らぎに“コシ”を与える階層化品質設計
ickx
0
270
AI時代に越境し、 組織を変えるQAスキルの正体 / QA Skills for Transforming an Organization
mii3king
5
4.2k
Modernizing Your HCL Connections Experience: Visual Report to chain, Profile Enhancements, and AI Integration
wannesrams
0
300
Oracle Base Database Service 技術詳細
oracle4engineer
PRO
15
100k
みんなの考えた最強のデータ基盤アーキテクチャ'26前期〜前夜祭〜ルーキーズ_資料_遠藤な
endonanana
0
220
アプリブロック機能のつくりかたと、AIとHTMLの不合理な相性の良さについて
kumamotone
1
230
生成AI時代に信頼性をどう保ち続けるか - Policy as Code の実践
akitok_
1
190
AI対話分析の夢と、汚いデータの現実 Looker / Dataplex / Dataform で実現する品質ファーストな基盤設計
waiwai2111
0
340
Featured
See All Featured
Visual Storytelling: How to be a Superhuman Communicator
reverentgeek
2
530
Balancing Empowerment & Direction
lara
6
1.1k
Ruling the World: When Life Gets Gamed
codingconduct
0
220
The Anti-SEO Checklist Checklist. Pubcon Cyber Week
ryanjones
0
130
Test your architecture with Archunit
thirion
1
2.2k
Breaking role norms: Why Content Design is so much more than writing copy - Taylor Woolridge
uxyall
0
280
Design of three-dimensional binary manipulators for pick-and-place task avoiding obstacles (IECON2024)
konakalab
0
420
Building a Modern Day E-commerce SEO Strategy
aleyda
45
9k
The Impact of AI in SEO - AI Overviews June 2024 Edition
aleyda
5
1.1k
Bash Introduction
62gerente
615
210k
Rebuilding a faster, lazier Slack
samanthasiow
85
9.5k
Designing Experiences People Love
moore
143
24k
Transcript
Ԭٕज़Պֶେֶ ిؾిࢠใֶ՝ఔ ֶ෦ɹ֯ுཽ ࣗવݴޠݚڀࣨ ɹ#̏θϛ ʙୈճʙ ϏοΫσʔλղੳೖᶅ
目次 ˔ͱϞʔϝϯτ ˔͖ͱϞʔϝϯτ ˔͍ҙຯͰͷ͖ ˔ཁ౷ܭྔ ˔౷ܭྔͷਪఆ
分布と統計量 ˔ूஂͷதͷͲͷཁૉબΕΔ֬Λಉ͡ʹ͢Δ ɹແ࡞ҝநग़๏ɺϥϯμϜαϯϓϦϯά ˔ಘΒΕͨඪຊ ɹແ࡞ҝඪຊɺϥϯμϜαϯϓϧ நग़ͨ͠ඪຊͷ࣮ଌʹج͍ͮͯɺ ूஂɺฏۉɺࢄΛਪఆ͢Δɻ
શମ͔ΒภΓͳ͘औΓग़ͨ͠Ұ෦͔ΒશମͷಛੑΛΔ
分布とモーメント ˔Ϟʔϝϯτͱ ɹฏۉࢄͷΑ͏ʹΛಛ͚Δྔ ྫ͑ʜ ਖ਼نฏۉͱࢄ͕༩͑ΒΕΕɺ࠶ݱ͕Մೳ ฏۉࢄͦΕͧΕ̍࣍ɺ̎࣍ͷϞʔϝϯτ ɹฏۉɿ ɹࢄɿ
µ = E[x]= x ⋅ f (x)dx ∫ σ 2 = E[(x −µ)2 ]= (x −µ)2 ⋅ f (x)dx ∫
分布とモーメント ˔Ұൠతͳʹରͯ͠ ɹฏۉࢄΑΓߴ࣍ͷϞʔϝϯτ·Ͱߟ͑Δ͜ͱͰ Λಛ͚Δ ˔֬ʹ͓͍ͯ ɹЋΛத৺ͱͨ͠ҰൠԽ͞ΕͨϞʔϝϯτͷఆٛ
E[(x −α)n ]= (x −α)n ⋅ f (x)dx ∫
べき分布とモーメント ˔ϞʔϝϯτʹΑΔͷಛ͚ͮ ཧ্औΓѻ͍͍͢ ࣮ࡍʹଟ͘ͷ౷ܭख๏ͰҊʹԾఆ͞Ε͍ͯΔ ଟ͘ͷ߹ɺਖ਼نࢦͰ͋Δɻ
Ὃ ݱ࣮ͰɺҟͳΔʹै͏֬ม͕͋Δɻ ͦͷΑ͏ͳ֬มʹै͍ͬͯΔσʔλͰɺ ؍ଌ͞Εͨʹରͯ͠౷ܭख๏͕దͰ͋Δ͔ҙ ͖తͳΛ࣋ͭ
べき分布とモーメント ˔͖ͱʜ ɹɾҝସՁ֨ࠩͷ ɹɾॴಘ͕େ͖͍ྖҬͰͷݸਓॴಘͷ ɹɾจষதͷ୯ޠͷස ࣾձݱɺࣗવݱ
べき分布とモーメント P(≥ x) = Ax−α Լهͷྦྷੵؔʹै͏Λ͖ͱ͍͏ɻ
"ن֨Խఆ ͖͕ͦ͢ް͍͜ͱΛಛͱ͢Δ ʢۃʹେ͖ͳΛ࣋ͭݱ͕ਖ਼نΑΓى͜Γ͍͢ʣ (x ≥ A 1 α ) (1)
べき分布とモーメント ˔͖ͷੑ࣭ ଟ͘ͷখ͞ͳͱগͳ͍ܻҧ͍ʹେ͖ͳΛͱΔ ͷΛؚΉ ਖ਼نΑΓߴ͍֬Ͱܻҧ͍ʹେ͖ͳΛͱΔ ྦྷੵؔΛ྆ରͰϓϩοτ͢ΔͱઢʹͳΔɻ ઢͷ͖͖ࢦЋͰ͋Δɻ
Ћ㱡̎ͰࢄɺЋ㱡̍Ͱฏۉ͕ଘࡏ͠ͳ͍ɻʢЋ࣍ Ҏ্ͷϞʔϝϯτ͕ଘࡏ͠ͳ͍ʣ Ћ̍Ͱɺ࠷େͷγΣΞ͕αϯϓϧ/ˠ㱣Ͱ̌ ʹͳΒͳ͍ɻ ɹ S max = max(x 1 , x 2 ,!, x N ) x i k=1 N ∑
べき分布とモーメント ಛʹࡾͭͷੑ࣭ɺσʔλͷ͕͖ʹै͍ͬͯΔ ͔͔֬ΊΔͨΊʹσʔλղੳʹ͏ɻ σʔλͷྦྷੵΛॻ͘ɻ ྆ରϓϩοτ͠ɺઢͰ͋Δ͜ͱΛ͔֬ΊΔɻ ۙࣅઢΛٻΊɺࢦЋΛٻΊΔɻ
広い意味でのべき分布 ͕ࣜݫີʹΓཱͭ͜ͱݱ࣮ʹͳ͍ɻ Ὃ ͷઈର͕େ͖͍ྖҬͰɺ ͖ؔͰۙࣅͰ͖ΔΑ͏ͳ
͖ͷΛ࣋ͭͱ͍͍ɺ૯͖ͯ͡ͱݺͿɻ ྫʣɾٯΨϯϚ ɹɹɾθʔλ ɹɹଞʹଟ͋Δɻ
要約統計量 ˔ཁ౷ܭྔͱ ɹඪຊͷ࣋ͭੑ࣭Λఆྔతʹಛ͚Δྔ ɾҐஔʹؔ͢Δཁ౷ܭྔ ඪຊฏۉɺதԝ ɾईʹؔ͢Δཁ౷ܭྔ ࢄɺඪ४ภࠩ
統計量の推定 ˔ϏοΫσʔλͷॲཧ ؍ଌ͞Εͨσʔλ͔Βཁ౷ܭྔΛ༻͍ͯɺ ɾͦͷ֬ີؔͷύϥϝʔλΛٻΊΔ ɾσʔλ͕ै͏ํఔࣜͷύϥϝʔλΛٻΊΔ ੳʹΑΓɺूஂ͕࣋ͭະͷύϥϝʔλΛಘΔ ඪຊ͔Βਪఆ͢Δ ਪఆํ๏ʹɺ࠷ਪఆ࠷খೋਪఆ͕͋Δɻ
参考文献 ˔ߴ҆ඒࠤࢠฤஶɺాଜޫଠɾࡾӜߤஶɺ ɹʮֶੜɾٕज़ऀͷͨΊͷϏοΫσʔλղੳೖʯ ʢୈ̏ষʣɺ ɹגࣜձࣾຊධࣾɺ݄