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
·
Ship Features Fearlessly
Turn features on and off without deploys. Used by thousands of Ruby developers.
→
kakubari
February 24, 2017
Technology
0
91
B3_Seminar_05
ビックデータ解析入門3
kakubari
February 24, 2017
Tweet
Share
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
120
Neural Modeling of Multi-Predicate Interactions for Japanese Predicate Argument Structure Analysis
kakubari
1
190
Leveraging Crowdsourcing for Paraphrase Recognition
kakubari
0
100
Automatically Acquired Lexical Knowledge Improves Japanese Joint Morphological and Dependency Analysis
kakubari
0
110
Labeling the Semantic Roles of Commas
kakubari
0
94
Integrating Case Frame into Japanese to Chinese Hierarchical Phrase-based Translation Model
kakubari
0
120
Improving Chinese Semantic Role Labelingusing High-quality Surface and Deep Case Frames
kakubari
0
96
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
250
Other Decks in Technology
See All in Technology
(Test) ai-meetup slide creation
oikon48
3
410
VLAモデル構築のための AIロボット向け模倣学習キット
kmatsuiugo
0
210
20260311 ビジネスSWG活動報告(デジタルアイデンティティ人材育成推進WG Ph2 活動報告会)
oidfj
0
340
プラットフォームエンジニアリングはAI時代の開発者をどう救うのか
jacopen
6
3.6k
複数クラスタ運用と検索の高度化:ビズリーチにおけるElastic活用事例 / ElasticON Tokyo2026
visional_engineering_and_design
0
160
今のWordPress の制作手法ってなにがあんねん?(改) / What’s the Deal with WordPress Development These Days?
tbshiki
0
480
オレ達はAWS管理をやりたいんじゃない!開発の生産性を爆アゲしたいんだ!!
wkm2
4
540
アーキテクチャモダナイゼーションを実現する組織
satohjohn
2
980
The_Evolution_of_Bits_AI_SRE.pdf
nulabinc
PRO
0
220
Postman v12 で変わる API開発ワークフロー (Postman v12 アップデート) / New API development workflow with Postman v12
yokawasa
0
130
JAWSDAYS2026_A-6_現場SEが語る 回せるセキュリティ運用~設計で可視化、AIで加速する「楽に回る」運用設計のコツ~
shoki_hata
0
3k
PMとしての意思決定とAI活用状況について
lycorptech_jp
PRO
0
130
Featured
See All Featured
A Soul's Torment
seathinner
5
2.5k
Navigating the moral maze — ethical principles for Al-driven product design
skipperchong
2
290
AI Search: Implications for SEO and How to Move Forward - #ShenzhenSEOConference
aleyda
1
1.2k
Into the Great Unknown - MozCon
thekraken
40
2.3k
Navigating Algorithm Shifts & AI Overviews - #SMXNext
aleyda
1
1.2k
Put a Button on it: Removing Barriers to Going Fast.
kastner
60
4.2k
Believing is Seeing
oripsolob
1
84
Game over? The fight for quality and originality in the time of robots
wayneb77
1
140
Fashionably flexible responsive web design (full day workshop)
malarkey
408
66k
The Cult of Friendly URLs
andyhume
79
6.8k
ReactJS: Keep Simple. Everything can be a component!
pedronauck
666
130k
Highjacked: Video Game Concept Design
rkendrick25
PRO
1
320
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