Upgrade to Pro
— share decks privately, control downloads, hide ads and more …
Speaker Deck
Sign up for free
Menu
Search
Features
All features
Private URLs
Password Protection
Custom URLS
Scheduled publishing
Remove Branding
Restrict embedding
Deck Collections
Notes
Features
All features
Private URLs
Password Protection
Custom URLS
Scheduled publishing
Remove Branding
Restrict embedding
Deck Collections
Notes
Explore
Featured decks
Featured speakers
Programming
Technology
Storyboards
Explore
Featured decks
Featured speakers
Programming
Technology
Storyboards
Pricing
Search
Sign in
Sign up for free
音楽理論と方向統計学の初歩/introduction of circular statisti...
Search
kur0cky
June 26, 2020
Science
2.3k
5
Share
Embed
Copy iframe code
Copy JS code
Copy link
Start on current slide
音楽理論と方向統計学の初歩/introduction of circular statistics and musicology
kur0cky
June 26, 2020
More Decks by kur0cky
See All by kur0cky
The bootstrapping method for everyone
kur0cky
3
1k
NLP introduction in R 1
kur0cky
0
120
tidyverse tutorial 2
kur0cky
1
75
tidyverse tutorial 1
kur0cky
1
98
Other Decks in Science
See All in Science
HOLO: Homography-Guided Pose Estimator Network for Fine-Grained Visual Localization on SD Maps
tomoaki0705
0
180
TypeScript で WebAssembly を用いた 型安全なプラグイン設計
nagano
3
680
Controller Design for Symbolic Input-Output Systems Using Feedforward Neural Networks
konakalab
0
150
勾配流から乖離した学習ダイナミクス
hanbao
1
1.2k
生成AIが科学とRAにもたらしていること:メタサイエンスの視点から
rmaruy
0
180
How a camera trap data standard enabled an ecosystem of interoperable tools
peterdesmet
0
150
CVPR2026_VGGTとその仲間たち
mickey_0226
0
1.3k
データベース11: 正規化(1/2) - 望ましくない関係スキーマ
trycycle
PRO
0
1.8k
機械学習 - K近傍法 & 機械学習のお作法
trycycle
PRO
1
1.7k
O(log n)-Approximation Algorithms for Bipartiteness Ratio
tasusu
0
300
「表象」を再定義するー潜在表現解析の落とし穴
ykamit
0
1.1k
不動産業界における業界特化のデータ整備とAI活用 ─Vertical DataとVertical AI─
estie
1
1.1k
Featured
See All Featured
Scaling GitHub
holman
464
140k
Why Your Marketing Sucks and What You Can Do About It - Sophie Logan
marketingsoph
0
450
Utilizing Notion as your number one productivity tool
mfonobong
4
640
Documentation Writing (for coders)
carmenintech
77
5.6k
Creating an realtime collaboration tool: Agile Flush - .NET Oxford
marcduiker
35
2.6k
The Success of Rails: Ensuring Growth for the Next 100 Years
eileencodes
47
8.4k
The #1 spot is gone: here's how to win anyway
tamaranovitovic
4
1.2k
Effective software design: The role of men in debugging patriarchy in IT @ Voxxed Days AMS
baasie
1
600
Mind Mapping
helmedeiros
1
430
Responsive Adventures: Dirty Tricks From The Dark Corners of Front-End
smashingmag
254
23k
Test your architecture with Archunit
thirion
2
2.5k
Lessons Learnt from Crawling 1000+ Websites
charlesmeaden
PRO
1
1.7k
Transcript
Իָཧͱํ౷ܭֶͷॳา LVSDLZ
ࣗݾհ w 5XJUUFSɿ!LVSDLZ@Z w "HFɿ w ձࣾɿ໊ཧͷೖࣾϲ݄ w ԋɿόΠΦϦϯɼυϥϜ w
͖ͳԻָɿΫϥγοΫɼαΠέτϥϯεɼFUDʜ 2
Իָ
υϨϛϑΝιϥγυ
υϨϛϑΝιϥγυϨϛϑΝιϥγ υϨϛϑΝιϥγυɾɾɾ
ແݶϧʔϓ ʢ॥ʣ
֯ͷσʔλαΠΤϯε
ํ౷ܭֶ
༷ʑͳ॥͢Δσʔλ w ԁप্ɿ֯ w σΟεΫ্ɿ֯ºεΧϥʔ w ٿ໘্ɿ֯º֯ w
γϦϯμʔ্ɿ֯ºεΧϥʔ w τʔϥε্ɿ֯º֯ (0 < r < R) (0 < θ < π) (0 < r) 9 ࠓճԁप্͚ͩΛߟ͑Δ
ํ౷ܭֶ w ֯࣌ؒͳͲɼ॥͢Δʹରͯ֬͠Λߟ͍͑ͨ w هड़౷ܭɼɼݕఆɼϞσϦϯάɼFUD w LVSDLZ͕ձͰൃ͍͢͠Իʁ w ͋Δͷ෩ͷ࣌ܥྻߏͲ͏ͳͬͯΔʁ w
Ԡ༻ w ಈͷӡಈํɼ෩ਫྲྀɼ࣌ؒɼࢠͷೋ໘֯ɼFUD 10
ԁप্ͷهड़౷ܭ
ฏۉํͲͬͪʁ
ฏۉํ ϕΫτϧͷฏۉͰߟ͑Δ ( 1 4 π + 7 4
π)/2 = π 13 º ΦΠϥʔͷެࣜΑΓɼReiθ = 1 N ∑ j eiθj (Rcos¯ θ, Rsin¯ θ) = 1 N ∑ j cosθj , 1 N ∑ j sinθj
ԁप্ͷࢄ 14 ࢄେ ࢄখ
ԁप্ͷࢄ 15 ฏۉϕΫτϧͷ͞ʹண͢Εྑ͍ ࢄɿV = 1 − R ඪ४ภࠩɿsd =
−2 log(R) ඪ४ภࠩͪΐͬͱಛघ ࢄେ ࢄখ
ԁप্ͷ֬
ͷ࡞Γํ w ר͖ࠐΈ๏ɿ֬ີؔΛԁप্ʹר͖ࠐΉ w XSBQQFE$BVDIZ͕༗໊ w ࣹӨ๏ɹɹɿมྔ֬ϕΫτϧΛݪ͔ΒͷڑͰׂΔ w ͖݅๏ɿมྔཱ֬ϕΫτϧΛۃ࠲ඪม͠ɼ֯ΛಘΔ w
ਖ਼نˠWPONJTFT w Ө๏ɹɹɿ ͱͯ֯͠ΛಘΔɽ x = tan(θ/2) 17
WPONJTFT w ผ໊ʮԁप্ͷਖ਼نʯ w ର͔ͭ୯ๆ w ࢦܕ w ݫີʹͷ࠶ੜੑ͕ෆཱ w
w ɿਖ਼نԽఆ w ɿฏۉํύϥϝʔλ w ɿूதύϥϝʔλ f(θ; μ, κ) = Ceκ cos(θ−μ) C μ κ 18
ޒݍ
ޒݍ DJSDMFPGUI w ԻఔͰͳ͘ɼௐ LFZ ͷྠ w ֎ଆ͕ϝδϟʔɼଆ͕ϚΠφʔ w ྡΓ߹͏ௐه߸
̅ ̆ ͕ͭҟͳΔ w Ұप͢Δͱ·ͨͬͯ͘Δ 20
ޒݍͷར༻ w εϦʔίʔυ͕Θ͔Γ͍͢ w جຊͷίʔυ͔Β྆αΠυΛݟΕྑ͍ w ࠨճΓ͍ͯ͘͠ͱࣗવͳίʔυʹͳͬͯΔ w πʔϑΝΠϒϫϯ͕؆୯ʹͰ͖Δ w
KB[[ͳͲͰڧ͍ 21
DBTFTUVEZ ࡞ۂՈ͝ͱͷ࡞ۂ
σʔλ֓ཁ 23 w ༗໊࡞ۂՈͷۂใϦετ w ࡞൪߸ɼλΠτϧɼௐɼ࡞ۂɼδϟϯϧɼฤ w ιʔεɿແྉָේͷϥΠϒϥϦʔ*.4-1͔ΒεΫϨΠϐϯά ໘ന͍σʔληοτʹͳΓͦ͏ͳͷͰɼγΣΞͯ͠ੳ͠·ͤΜ͔ʁস https://imslp.org/wiki/Main_Page
༗໊ͳ࡞ۂՈΛൈਮɽ͕$NBKPS
ϝϯσϧεκʔϯϞʔπΝϧτͷӨڹΛଟʹड͚͍ͯΔΒ͍͠ ٕܥϐΞϊ࡞ۂՈࣗ༝͕ߴͦ͏ɽࣅͯΔ
.BSEJB8BUTPO8IFFMFSݕఆ w ԁप্ͷͭͷ͕ҟͳΔ͔ͷϊϯύϥϝτϦοΫݕఆ w 6ݕఆͷDJSDVMBS֦ு w ܈ͷσʔλΛִࠞͥͯؒʹฒΔɽؼແԾઆͷͱQΛܭࢉ w ݁Ռ 26
Q ݁Ռ NP[BSUWTNFOEFMTTPIO غ٫ DIPQJOWTMJTU[ غ٫Ͱ͖ͳ͍
·ͱΊ w Իָͱ૬ੑ͕ྑ͍ͱࢥΘΕΔํ౷ܭֶʹ͍ͭͯɼͦͷॳาͷ ॳาΛհͨ͠ w ௐ߸ͷଆ໘͔Βɼ࡞ۂΛੳͨ͠ɽಛʹɼϦετͱγϣύ ϯͷޒݍͷҟͳΔͱݴ͑ͳ͔ͬͨɽ 27
͓͢͢Ίจݙ w +BNNBMBNBEBLB 43 4FOHVQUB " 5PQJDTJODJSDVMBS TUBUJTUJDT 7PM
XPSMETDJFOUJpD w όΠϒϧతͳɼํ౷ܭͷ༗໊ςΩετ w ਗ਼ਫ ʰ֯σʔλͷϞσϦϯά *4.γϦʔζਐԽ͢Δ౷ܭཧ ʱ ۙ Պֶࣾ w ํ౷ܭͰ͍͠ॻ w 7BMEF[ %/ 45"5*45*$4*/.64*$0-0(: w Իָº౷ܭͷຊ 28