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
音楽理論と方向統計学の初歩/introduction of circular statisti...
Search
kur0cky
June 26, 2020
Science
4
1.9k
音楽理論と方向統計学の初歩/introduction of circular statistics and musicology
kur0cky
June 26, 2020
Tweet
Share
More Decks by kur0cky
See All by kur0cky
The bootstrapping method for everyone
kur0cky
3
940
NLP introduction in R 1
kur0cky
0
78
tidyverse tutorial 2
kur0cky
1
58
tidyverse tutorial 1
kur0cky
1
68
Other Decks in Science
See All in Science
ガウス過程回帰とベイズ最適化
nearme_tech
PRO
1
190
All-in-One Bioinformatics Platform Realized with Snowflake ~ From In Silico Drug Discovery, Disease Variant Analysis, to Single-Cell RNA-seq
ktatsuya
0
310
眼科AIコンテスト2024_特別賞_6位Solution
pon0matsu
0
290
The thin line between reconstruction, classification, and hallucination in brain decoding
ykamit
1
1.2k
butterfly_effect/butterfly_effect_in-house
florets1
1
150
事業会社における 機械学習・推薦システム技術の活用事例と必要な能力 / ml-recsys-in-layerx-wantedly-2024
yuya4
4
300
Coqで選択公理を形式化してみた
soukouki
0
290
Reconciling Accuracy, Cost, and Latency of Inference Serving Systems
pjamshidi
0
120
地表面抽出の方法であるSMRFについて紹介
kentaitakura
1
340
多次元展開法を用いた 多値バイクラスタリング モデルの提案
kosugitti
0
240
Causal discovery based on non-Gaussianity and nonlinearity
sshimizu2006
0
230
ウェーブレットおきもち講座
aikiriao
1
830
Featured
See All Featured
RailsConf & Balkan Ruby 2019: The Past, Present, and Future of Rails at GitHub
eileencodes
133
33k
Cheating the UX When There Is Nothing More to Optimize - PixelPioneers
stephaniewalter
280
13k
Distributed Sagas: A Protocol for Coordinating Microservices
caitiem20
330
21k
Building Applications with DynamoDB
mza
93
6.2k
The Power of CSS Pseudo Elements
geoffreycrofte
75
5.5k
How To Stay Up To Date on Web Technology
chriscoyier
790
250k
A designer walks into a library…
pauljervisheath
205
24k
Docker and Python
trallard
44
3.3k
Facilitating Awesome Meetings
lara
52
6.2k
Visualization
eitanlees
146
15k
Music & Morning Musume
bryan
46
6.4k
A Philosophy of Restraint
colly
203
16k
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