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
Befriending Kurtosis with R
Search
bk
October 07, 2023
Programming
1k
1
Share
Embed
Copy iframe code
Copy JS code
Copy link
Start on current slide
Befriending Kurtosis with R
bk
October 07, 2023
More Decks by bk
See All by bk
tidy_rpart
bk_18
1
1.7k
dotdotdot_in_predict_function
bk_18
1
1.1k
Introduction_of_GoogleAnalytics_with_R
bk_18
2
1k
web scraping with polite package
bk_18
2
830
start-salesforce-with-r
bk_18
0
910
Missspell Detection
bk_18
1
170
About Missing Values
bk_18
1
410
Other Decks in Programming
See All in Programming
決定論的オーケストレーションの設計と実装 / Design and Implementation of Deterministic Orchestration
nrslib
4
1.6k
Go1.27で導入されるジェネリクスメソッドでできること
mackee
0
250
その問い、本当に正しいですか?AI時代のエンジニアに必要な哲学と認知科学 / ai-philosophy-cognitive-science
minodriven
14
6.7k
Welcome to the "Parametricity" 🏙️ − Generic だけど Specific な世界 −
guvalif
1
110
なぜ関数型プログラミングで「型」と「証明」が語られるのか #fp_matsuri
kajitack
3
520
壊れたパーサから始める関数型設計と構成的なパーサ #fp_matsuri
raiga0310
2
170
才能?センス?知らん、 続けたもん勝ちだ。-- 結婚・出産・癌を越えてなお、私がプロダクトを創り続ける理由
16bitidol
2
780
「なぜそう決めたのか」を残し続ける仕組み ― Notion AI カスタムエージェント × Slack連携による設計判断の自動記録 - NIKKEI Tech Talk #47
niftycorp
PRO
0
250
AIを活用したE2Eテスト実装効率化のあゆみ / ebisu-mobile-14-kotetu
kotetuco
0
160
ECSアプリログをFireLensでコスト削減しようとしたけど諦めた話 in Fargate×Node.js
akihisaikeda
2
4.2k
LLM本来の能力を解き放つサンドボックス技術とAI民主化への適用
yukukotani
3
4.9k
Haskell/Servantを通してWebミドルウェアを捉え直す
pizzacat83
0
400
Featured
See All Featured
How to train your dragon (web standard)
notwaldorf
97
6.7k
What does AI have to do with Human Rights?
axbom
PRO
1
2.2k
GitHub's CSS Performance
jonrohan
1033
470k
HDC tutorial
michielstock
2
730
The browser strikes back
jonoalderson
0
1.4k
Imperfection Machines: The Place of Print at Facebook
scottboms
270
14k
Color Theory Basics | Prateek | Gurzu
gurzu
0
380
Helping Users Find Their Own Way: Creating Modern Search Experiences
danielanewman
31
3.2k
Lessons Learnt from Crawling 1000+ Websites
charlesmeaden
PRO
1
1.3k
Between Models and Reality
mayunak
4
360
Faster Mobile Websites
deanohume
310
32k
Max Prin - Stacking Signals: How International SEO Comes Together (And Falls Apart)
techseoconnect
PRO
0
200
Transcript
ʙ ՄࢹԽύοέʔδͰઑͱٔΕΔʙ ઑͱྑ͘ͳΓ͍ͨ
࣍ 2 ઑͱ ϕʔλͱ ઑΛՄࢹԽͯ͠ΈΔ ·ͱΊ ࢀߟจݙ ɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾ p.3,4 p.5-7
p.8-16 p.17,18 ɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾ ɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾ ɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾ ɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾ p.19 B
ઑͱ
ઑͱ 4 ֬ͷ, ઑΓͷఔΛද͢ࢦඪఆٛͰ͖Δ. ͢ͳΘͪ, ࢛ͷظ , த৺ͷपғͷ෦ͷઑΓ۩߹Λද͢. α4 =
E(x − μ)4 σ4 ౦ژେֶڭཆֶ෦౷ܭֶڭࣨ. ʰ౷ܭֶೖʱ. ౦ژେֶग़൛ձ, 1991-07-10 *ਖ਼نͷઑͰ͋Δ3ΛҾ͍ͯɺ0Λج४ʹ͢Δ߹͋Δɻ ࠓճ3ΛҾ͔ͣɺ্هͷࢦඪΛͦͷ··༻͢Δɻ
B ϕʔλͱ
ϕʔλͱ 6 ۩ମతͳઑΛࢉग़͢ΔͨΊʹɺઑΛٻΊΔΛஔ͘ɻ ࠓճ2ͭͷΛ࣋ͪɺܗঢ়͕ॊೈͳϕʔλΛѻ͏ɻ ͔ΒͬΆͷ͠ΐ͜. ʮʲRʳϕʔλͷ࡞ਤʯ. https://www.anarchive-beta.com/entry/2022/07/02/210203
ϕʔλͷύϥϝʔλมԽͱઑ 7 alphaͱઑʢkurtosisʣͷؔΛਤࣔɻ y࣠ʹுΓ͍ͨܗͷઑେ͖͍͕ɺҰҰ༷ʹ͍ۙͮͯখ͘͞ͳΓɺ ͦͷޙਖ਼نʹ͖ۙͮͳ͕Β؇͔ʹେ͖͘ͳΔɻ
ઑΛՄࢹԽͯ͠ΈΔ
ઑͷࣜΛղ 9 ϕʔλͷઑΛՄࢹԽͰ͖ΔΑ͏ʹղ͢Δɻ ࢠฏۉपΓͷ4࣍Ϟʔϝϯτɻੵͷܗʹ͢Δͱภࠩͷ4ͱ֬ີؔɻ ࢄͷ2ɻࠓճ͋·Γ৮Εͳ͍ɻ E[(x − μ)4] σ4 =
∫ (x − μ)4 f(x) dx σ4
alpha=6.1ͷ 10 alpha=6.1ɺbeta=2ͷϕʔλͰઑΛՄࢹԽ͍ͯ͘͠ɻ
alpha=6.1ͷภࠩͷ4ͱ֬ີؔ 11 ઑͷࢠʹ͋Δภࠩͷ4ͱ֬ີؔΛਤࣔɻ ࢠ͜ΕΒͷֻ͚߹ΘͤʹͳΔɻ (x − μ)4 f(x) ∫ (x
− μ)4 f(x) dx σ4 f(x) (x − μ)4
alpha=6.1ͷภࠩͷ4ͱ֬ີؔ 12 ࢠͷܭࢉΛਐΊͯɺภࠩͷ4ͱ֬ີؔΛֻ͚ͨؔΛϓϩοτɻ ฏۉपΓภࠩͷ4͕0ʹۙͮͨ͘Ίɺ͕খ͘͞ͳΔɻ ฏۉ͔ΒΕɺ֬ີؔߴΊͳ0.25ʙ0.5͋ͨΓͷ͕େ͖͘ͳΔɻ mean ∫ (x − μ)4
f(x) dx σ4 (x − μ)4 f(x) (x − μ)4 f(x)
alpha=0.14ͷ 13 ࣍ʹalpha=0.14ɺbeta=2ͷϕʔλͰઑΛՄࢹԽ͢Δɻ ࢄઌ΄Ͳͷalpha=6.1ͷͱɺ0.02લޙͰ΄΅มΘΒͳ͍ɻ
alpha=0.14ͷภࠩͷ4ͱ֬ີؔ 14 alpha=6.1Ͱݟ͖ͯͨͷͱಉ༷ʹɺ֬ີؔͱภࠩͷ4ΛՄࢹԽɻ ภࠩͷ4ͷมԽ͕ݟ͍͢Α͏ʹɺॎ࣠ͷεέʔϧΛ0ʙ3ʹௐ͍ͯ͠Δɻ (x − μ)4 f(x) ∫ (x
− μ)4 f(x) dx σ4 f(x) (x − μ)4
alpha=0.14ͷภࠩͷ4ͱ֬ີؔ 15 ภࠩͷ4ͱ֬ີؔΛֻ͚ͨͷΛਤࣔɻ ฏۉ0͔Βগ͠ΕΔͨΊɺy࣠ۙͰ͕ٸʹ্͕Δɻ ·ͨɺฏۉ͔ΒΕͨП0.5ʙ1.0ͷؒͷ͕େ͖͍ɻ (x − μ)4 f(x) mean
∫ (x − μ)4 f(x) dx σ4 (x − μ)4 f(x)
alpha=6.1ͱalpha=0.14ͷൺֱ 16 alpha=6.1ͱ0.14ͷภࠩͷ4ͱ֬ີؔΛֻ͚ͨͷΛಉ࣌ʹՄࢹԽɻ alpha=0.14ͷฏۉ͔ΒΕͨ0.75ۙͰ͕େ͖͍ɻ શମͰɺalpha=6.1ΑΓalpha=0.14ͷํ͕ઑ͕େ͖͍ͱ͍͏݁Ռʹɻ ∫ (x − μ)4 f(x)
dx σ4 (x − μ)4 f(x)
·ͱΊ
·ͱΊ 18 ɾઑ͕େ͖͍ɺͱʁ ͷฏۉपΓͷີ͕ബ͘ɺ ฏۉ͔ΒΕͨ෦ͷີ͕ް͍͜ͱ ɾRݴޠͷՄࢹԽύοέʔδͰཧղΛਂΊΔ ɾggplot2 ɾgganimate ɾgghighlight
ࢀߟจݙ 19 •౦ژେֶڭཆֶ෦౷ܭֶڭࣨ. ʰ౷ܭֶೖʱ. ౦ژେֶग़൛ձ, 1991-07-10 • ͔ΒͬΆͷ͠ΐ͜, ʮʲRʳϕʔλͷ࡞ਤʯ, https://www.anarchive-beta.com/entry/2022/07/02/210203
• ౷ܭֶʮઑʯ Kurtosis, https://www.youtube.com/watch?v=iEOE3OCuB8U • ֬ ߨٛ #003 Ϟʔϝϯτؔ, https://www.youtube.com/watch?v=tZl8M96m46Y • ΞΠίϯૉࡐμϯϩʔυαΠτʮicooon-monoʯ, https://icooon-mono.com/
Eɹnɹjɹoɹyɹ