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
1
980
Befriending Kurtosis with R
bk
October 07, 2023
Tweet
Share
More Decks by bk
See All by bk
tidy_rpart
bk_18
1
1.6k
dotdotdot_in_predict_function
bk_18
1
1.1k
Introduction_of_GoogleAnalytics_with_R
bk_18
2
990
web scraping with polite package
bk_18
2
800
start-salesforce-with-r
bk_18
0
880
Missspell Detection
bk_18
1
160
About Missing Values
bk_18
1
390
Other Decks in Programming
See All in Programming
Canon EOS R50 V と R5 Mark II 購入でみえてきた最近のデジイチ VR180 事情、そして VR180 静止画に活路を見出すまで
karad
0
140
今こそ知るべき耐量子計算機暗号(PQC)入門 / PQC: What You Need to Know Now
mackey0225
3
310
0→1 フロントエンド開発 Tips🚀 #レバテックMeetup
bengo4com
0
490
Honoを使ったリモートMCPサーバでAIツールとの連携を加速させる!
tosuri13
1
120
Context is King? 〜Verifiability時代とコンテキスト設計 / Beyond "Context is King"
rkaga
10
1.6k
Vibe codingでおすすめの言語と開発手法
uyuki234
0
180
Deno Tunnel を使ってみた話
kamekyame
0
320
実はマルチモーダルだった。ブラウザの組み込みAI🧠でWebの未来を感じてみよう #jsfes #gemini
n0bisuke2
3
1.4k
コマンドとリード間の連携に対する脅威分析フレームワーク
pandayumi
1
330
TerraformとStrands AgentsでAmazon Bedrock AgentCoreのSSO認証付きエージェントを量産しよう!
neruneruo
4
2.4k
Unicodeどうしてる? PHPから見たUnicode対応と他言語での対応についてのお伺い
youkidearitai
PRO
0
550
PC-6001でPSG曲を鳴らすまでを全部NetBSD上の Makefile に押し込んでみた / osc2025hiroshima
tsutsui
0
210
Featured
See All Featured
Darren the Foodie - Storyboard
khoart
PRO
2
2.1k
GitHub's CSS Performance
jonrohan
1032
470k
Performance Is Good for Brains [We Love Speed 2024]
tammyeverts
12
1.4k
Building AI with AI
inesmontani
PRO
1
630
16th Malabo Montpellier Forum Presentation
akademiya2063
PRO
0
40
The Invisible Side of Design
smashingmag
302
51k
Discover your Explorer Soul
emna__ayadi
2
1k
Chasing Engaging Ingredients in Design
codingconduct
0
97
Large-scale JavaScript Application Architecture
addyosmani
515
110k
How To Speak Unicorn (iThemes Webinar)
marktimemedia
1
360
The Cult of Friendly URLs
andyhume
79
6.8k
HU Berlin: Industrial-Strength Natural Language Processing with spaCy and Prodigy
inesmontani
PRO
0
130
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