チュートリアル:ノンパラメトリックベイズ
|
|
- まいえ つちた
- 7 years ago
- Views:
Transcription
1
2
3 { x,x, L, xn} 2 p( θ, θ, θ, θ, θ, } { θ6
4 p( p(
5 { x,x, L, N} 2 x { θ, θ2, θ3, θ4, θ5, θ6} K n p( θ θ n N n θ x N +
6 { x,x, L, N} 2 x { θ, θ2, θ3, θ4, θ5, θ6} log p( 6 n logθ F 6 log p( + λ θ F θ n θ λ 0 θ N n p( θ θ n n λ N λ x K θ 6 θ n N
7 p( p( p(
8 p ( p( θ 3 θ + θ2 + θ3 θ, θ, } Dir( { 2 θ3 θ 2 0 < < 2 0 θ 2 θ 3 {6,2,2} {3,7,5} θ θ {2,3,4} {6,2,6}
9 n Dir( a + n Dir( + n p( p( { 0.4, 0., 0.0, 0.0, 0.2, 0.3} ˆ {0.25, 0.4, 0., 0., 0.8, 0.2}
10 },,,,, { θ θ θ θ θ θ 6 ( n p θ { N} 2 x,,,x x L ( ( Γ Γ ( Dir( ( C p θ θ a 3 a + 6 ( ( ( ( ( ( ( n C p p p p p p θ Dir( ( ( 6 n n n C p θ
11 {, 2, 2,, 2,, 3, 2}
12
13 Dir ( 2 3 L K 2 3 L K K K
14 Dir ( K L L L L L L L L K 0
15 ~ DP(, θ, θ, θ, L, θ } { 2 3 θ
16 ~ θ θ ~ Beta(, ~ ~ θ ( θ l l θ θ 2 Beta(, β θ3 L θ Beta( d, + d Beta(, β ~ θ ~ GEM( ~ ~ θ ~ θ ~ ~ θ θ 2 2 θ3 3
17 { 2 3 θ, θ, θ, Lθ } {, 2, 2,, 2,, p( x p( x p( d next next 3, 2}
18 Dir ( K L L L L K 0 L L L L ( K 4 K
19 { θ, θ2, θ3, Lθ } p( {, 2, 2,, n θ p( DP(, 2,, 3, 2} p( x next x 6 x ( x next x2 x3 2 x4 x 8 x ( x next 2 x ( x next 3 new 8 + ( x next new p( p x p( x p( d ( next next
20
21 p( x π N( x μ, σ 2 p( DP(, G0
22 DP(, {, 2, 2,, 2,, 3, 2} x x2 x3 2 3 x 6 x 4 x 8 x 5 x 7 new DP(, G0 Z {, 2, 2,, 2,, 3, 2} x 2 μ,σ { x, x2, x3, x4, x5, x6, x7, x8} x 6 x 4 p( x x3 μ 3 x 8 2,σ 2 p( μ, σ x 5 L x 7 μ 3,σ G μ, σ 0 new
23
24
25
26
27
28
29
30
31
32
一般演題(ポスター)
6 5 13 : 00 14 : 00 A μ 13 : 00 14 : 00 A β β β 13 : 00 14 : 00 A 13 : 00 14 : 00 A 13 : 00 14 : 00 A β 13 : 00 14 : 00 A β 13 : 00 14 : 00 A 13 : 00 14 : 00 A β 13 : 00 14 : 00 A 13 : 00 14 : 00 A
More information診療ガイドライン外来編2014(A4)/FUJGG2014‐01(大扉)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
More information第89回日本感染症学会学術講演会後抄録(I)
! ! ! β !!!!!!!!!!! !!! !!! μ! μ! !!! β! β !! β! β β μ! μ! μ! μ! β β β β β β μ! μ! μ!! β ! β ! ! β β ! !! ! !!! ! ! ! β! !!!!! !! !!!!!!!!! μ! β !!!! β β! !!!!!!!!! !! β β β β β β β β !!
More information467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 B =(1+R ) B +G τ C C G τ R B C = a R +a W W ρ W =(1+R ) B +(1+R +δ ) (1 ρ) L B L δ B = λ B + μ (W C λ B )
More information第86回日本感染症学会総会学術集会後抄録(II)
χ μ μ μ μ β β μ μ μ μ β μ μ μ β β β α β β β λ Ι β μ μ β Δ Δ Δ Δ Δ μ μ α φ φ φ α γ φ φ γ φ φ γ γδ φ γδ γ φ φ φ φ φ φ φ φ φ φ φ φ φ α γ γ γ α α α α α γ γ γ γ γ γ γ α γ α γ γ μ μ κ κ α α α β α
More information第85 回日本感染症学会総会学術集会後抄録(III)
β β α α α µ µ µ µ α α α α γ αβ α γ α α γ α γ µ µ β β β β β β β β β µ β α µ µ µ β β µ µ µ µ µ µ γ γ γ γ γ γ µ α β γ β β µ µ µ µ µ β β µ β β µ α β β µ µµ β µ µ µ µ µ µ λ µ µ β µ µ µ µ µ µ µ µ
More informationaisatu.pdf
1 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71
More informationron04-02/ky768450316800035946
β α β α β β β α α α Bugula neritina α β β β γ γ γ γ β β γ β β β β γ β β β β β β β β! ! β β β β μ β μ β β β! β β β β β μ! μ! μ! β β α!! β γ β β β β!! β β β β β β! β! β β β!! β β β β β β β β β β β β!
More informationP1-1 P1-2 P1-3 P1-4 P1-5 P1-6 P3-1 P3-2 P3-3 P3-4 P3-5 P3-6 P5-1 P5-2 P5-3 P5-4 P5-5 P5-6 P7-1 P7-2 P7-3 P7-4 P7-5 P7-6 P9-1 P9-2 P9-3 P9-4 P9-5 P9-6 P11-1 P11-2 P11-3 P11-4 P13-1 P13-2 P13-3 P13-4 P13-5
More information日本糖尿病学会誌第58巻第1号
α β β β β β β α α β α β α l l α l μ l β l α β β Wfs1 β β l l l l μ l l μ μ l μ l Δ l μ μ l μ l l ll l l l l l l l l μ l l l l μ μ l l l l μ l l l l l l l l l l μ l l l μ l μ l l l l l l l l l μ l l l l
More informationサイバニュース-vol134-CS3.indd
NEWS 2012 WINTER 134 No. F=maF ma m af Contents N, X θ 1,θ 2 θ N 0θ i π/2 X i X 0 Θ i Θ 1 = 2θ 1 Θ 2 = 2(θ 1 θ 2) NX N X 0 Θ N N Θ N = 2{θ 1 θ 2θ 3 θ N } Θ N = 2π A 1A 2B 2B 1 mm 3 α α = π /m A 1A
More information日本糖尿病学会誌第58巻第3号
l l μ l l l l l μ l l l l μ l l l l μ l l l l l l l l l l l l l μ l l l l μ Δ l l l μ Δ μ l l l l μ l l μ l l l l l l l l μ l l l l l μ l l l l l l l l μ l μ l l l l l l l l l l l l μ l l l l β l l l μ
More informationNEXT 1 2 3 1 2 3 4 5 6 1 2 1 2 1 1 1 1 2 3 1 2 3 4 5 6 1 2 3 4 1 2 3 4 5 6 1 2 3 4 5 1 2 3 1 1 2 1 2 3 4 5 6 7 1 2 3 1 2 1 2 3 4 5 6 7 8 9 1 1 1 2 1 2 1 2 3 4 5 6 1 2
More information204 / CHEMISTRY & CHEMICAL INDUSTRY Vol.69-1 January 2016 047
9 π 046 Vol.69-1 January 2016 204 / CHEMISTRY & CHEMICAL INDUSTRY Vol.69-1 January 2016 047 β γ α / α / 048 Vol.69-1 January 2016 π π π / CHEMISTRY & CHEMICAL INDUSTRY Vol.69-1 January 2016 049 β 050 Vol.69-1
More information日本糖尿病学会誌第58巻第2号
β γ Δ Δ β β β l l l l μ l l μ l l l l α l l l ω l Δ l l Δ Δ l l l l l l l l l l l l l l α α α α l l l l l l l l l l l μ l l μ l μ l l μ l l μ l l l μ l l l l l l l μ l β l l μ l l l l α l l μ l l
More informationPowerPoint プレゼンテーション
0 1 2 3 4 5 6 1964 1978 7 0.0015+0.013 8 1 π 2 2 2 1 2 2 ( r 1 + r3 ) + π ( r2 + r3 ) 2 = +1,2100 9 10 11 1.9m 3 0.64m 3 12 13 14 15 16 17 () 0.095% 0.019% 1.29% (0.348%) 0.024% 0.0048% 0.32% (0.0864%)
More information基礎数学I
I & II ii ii........... 22................. 25 12............... 28.................. 28.................... 31............. 32.................. 34 3 1 9.................... 1....................... 1............
More information第88回日本感染症学会学術講演会後抄録(III)
!!!! β! !!μ μ!!μ μ!!μ! !!!! α!!! γδ Φ Φ Φ Φ! Φ Φ Φ Φ Φ! α!! ! α β α α β α α α α α α α α β α α β! β β μ!!!! !!μ !μ!μ!!μ!!!!! !!!!!!!!!! !!!!!!μ! !!μ!!!μ!!!!!! γ γ γ γ γ γ! !!!!!! β!!!! β !!!!!! β! !!!!μ!!!!!!
More informationリスクとは何か?
http://www.craft.titech.ac.jp/~nakagawa/dir2/lecture.html#tit2005_1 Agenda Value at Risk 2 3 TOPIX 10 95% 4 TOPIX or Value at Risk 5 TOPIX = log TOPIX N 6 7 N TOPIX x, x, 1 2, L x N 8 x = N 1 EXCEL AVERAGE
More informationボールねじ
A A 506J A15-6 A15-8 A15-8 A15-11 A15-11 A15-14 A15-19 A15-20 A15-24 A15-24 A15-26 A15-27 A15-28 A15-30 A15-32 A15-35 A15-35 A15-38 A15-38 A15-39 A15-40 A15-43 A15-43 A15-47 A15-47 A15-47 A15-47 A15-49
More information日本分子第4巻2号_10ポスター発表.indd
JSMI Report 62 63 JSMI Report γ JSMI Report 64 β α 65 JSMI Report JSMI Report 66 67 JSMI Report JSMI Report 68 69 JSMI Report JSMI Report 70 71 JSMI Report JSMI Report 72 73 JSMI Report JSMI Report 74
More information24.15章.微分方程式
m d y dt = F m d y = mg dt V y = dy dt d y dt = d dy dt dt = dv y dt dv y dt = g dv y dt = g dt dt dv y = g dt V y ( t) = gt + C V y ( ) = V y ( ) = C = V y t ( ) = gt V y ( t) = dy dt = gt dy = g t dt
More informationuntitled
3,,, 2 3.1 3.1.1,, A4 1mm 10 1, 21.06cm, 21.06cm?, 10 1,,,, i),, ),, ),, x best ± δx 1) ii), x best ), δx, e,, e =1.602176462 ± 0.000000063) 10 19 [C] 2) i) ii), 1) x best δx
More informationuntitled
10 log 10 W W 10 L W = 10 log 10 W 10 12 10 log 10 I I 0 I 0 =10 12 I = P2 ρc = ρcv2 L p = 10 log 10 p 2 p 0 2 = 20 log 10 p p = 20 log p 10 0 2 10 5 L 3 = 10 log 10 10 L 1 /10 +10 L 2 ( /10 ) L 1 =10
More information1 1 1 1 1 1 2 f z 2 C 1, C 2 f 2 C 1, C 2 f(c 2 ) C 2 f(c 1 ) z C 1 f f(z) xy uv ( u v ) = ( a b c d ) ( x y ) + ( p q ) (p + b, q + d) 1 (p + a, q + c) 1 (p, q) 1 1 (b, d) (a, c) 2 3 2 3 a = d, c = b
More information(interval estimation) 3 (confidence coefficient) µ σ/sqrt(n) 4 P ( (X - µ) / (σ sqrt N < a) = α a α X α µ a σ sqrt N X µ a σ sqrt N 2
7 2 1 (interval estimation) 3 (confidence coefficient) µ σ/sqrt(n) 4 P ( (X - µ) / (σ sqrt N < a) = α a α X α µ a σ sqrt N X µ a σ sqrt N 2 (confidence interval) 5 X a σ sqrt N µ X a σ sqrt N - 6 P ( X
More information日本糖尿病学会誌第58巻第7号
l l l l β μ l l l l l l α l l l l l l l μ l l l α l l l l l μ l l l l l l l l l l l l l μ l l l l l β l μ l μ l μ l μ l l l l l μ l l l μ l l μ l l l α α l μ l l μ l α l μ l α l l l μ l l l μ l l μ l
More information330
330 331 332 333 334 t t P 335 t R t t i R +(P P ) P =i t P = R + P 1+i t 336 uc R=uc P 337 338 339 340 341 342 343 π π β τ τ (1+π ) (1 βτ )(1 τ ) (1+π ) (1 βτ ) (1 τ ) (1+π ) (1 τ ) (1 τ ) 344 (1 βτ )(1
More informationPart. 4. () 4.. () 4.. 3 5. 5 5.. 5 5.. 6 5.3. 7 Part 3. 8 6. 8 6.. 8 6.. 8 7. 8 7.. 8 7.. 3 8. 3 9., 34 9.. 34 9.. 37 9.3. 39. 4.. 4.. 43. 46.. 46..
Cotets 6 6 : 6 6 6 6 6 6 7 7 7 Part. 8. 8.. 8.. 9..... 3. 3 3.. 3 3.. 7 3.3. 8 Part. 4. () 4.. () 4.. 3 5. 5 5.. 5 5.. 6 5.3. 7 Part 3. 8 6. 8 6.. 8 6.. 8 7. 8 7.. 8 7.. 3 8. 3 9., 34 9.. 34 9.. 37 9.3.
More informationNumRu::GPhys::EP Flux 2 2 NumRu::GPhys::EP Flux 3 2.................................. 3 2.2 EP............................. 4 2.3.....................
NumRu::GPhys::EP Flux 7 2 9 NumRu::GPhys::EP Flux 2 2 NumRu::GPhys::EP Flux 3 2.................................. 3 2.2 EP............................. 4 2.3................................. 5 2.4.............................
More information…K…E…X„^…x…C…W…A…fi…l…b…g…‘†[…N‡Ì“‚¢−w‘K‡Ì‹ê™v’«‡É‡Â‡¢‡Ä
2009 8 26 1 2 3 ARMA 4 BN 5 BN 6 (Ω, F, µ) Ω: F Ω σ 1 Ω, ϕ F 2 A, B F = A B, A B, A\B F F µ F 1 µ(ϕ) = 0 2 A F = µ(a) 0 3 A, B F, A B = ϕ = µ(a B) = µ(a) + µ(b) µ(ω) = 1 X : µ X : X x 1,, x n X (Ω) x 1,,
More information2015321 15885316251 Times New RomanArialArial BlackArial NarrowCenturyCentury GothicCourier NewGeorgia CO I CO I 1 2 7 ! !! ! ! !! ! ! !! ! ! " " "! " "! "! " " " " " " " "! "! "!!! μ!
More informationuntitled
Y = Y () x i c C = i + c = ( x ) x π (x) π ( x ) = Y ( ){1 + ( x )}( 1 x ) Y ( )(1 + C ) ( 1 x) x π ( x) = 0 = ( x ) R R R R Y = (Y ) CS () CS ( ) = Y ( ) 0 ( Y ) dy Y ( ) A() * S( π ), S( CS) S( π ) =
More informationA. Fresnel) 19 1900 (M. Planck) 1905 (A. Einstein) X (A. Ampère) (M. Faraday) 1864 (C. Maxwell) 1871 (H. R. Hertz) 1888 2.2 1 7 (G. Galilei) 1638 2
1 2012.8 e-mail: tatekawa (at) akane.waseda.jp 1 2005-2006 2 2009 1-2 3 x t x t 2 2.1 17 (I. Newton) C. Huygens) 19 (T. Young) 1 A. Fresnel) 19 1900 (M. Planck) 1905 (A. Einstein) X (A. Ampère) (M. Faraday)
More informationATTENTION TO GOLF CLUB LAUNCHER DST DRIVER 04 05 LAUNCHER DST TOUR DRIVER LAUNCHER DST DRIVER LAUNCHER DST TOUR DRIVER LAUNCHER DST DRIVER LAUNCHER DST TOUR DRIVER 06 07 LAUNCHER DST FAIRWAY WOOD LAUNCHER
More informationCopyrght 7 Mzuho-DL Fnancal Technology Co., Ltd. All rghts reserved.
766 Copyrght 7 Mzuho-DL Fnancal Technology Co., Ltd. All rghts reserved. Copyrght 7 Mzuho-DL Fnancal Technology Co., Ltd. All rghts reserved. 3 Copyrght 7 Mzuho-DL Fnancal Technology Co., Ltd. All rghts
More information4
4 5 6 7 + 8 = ++ 9 + + + + ++ 10 + + 11 12 WS LC VA L WS = LC VA = LC L L VA = LC L VA L 13 i LC VA WS WS = LC = VA LC VA VA = VA α WS α = VA VA i WS = LC VA i t t+1 14 WS = α WS + WS α WS = WS WS WS =
More informationA9R799F.tmp
!!!!! !!! " !!! ! "!!" " " ! ! " "!! "! " "!! !! !!! !!! ! !!!!! α ! "α!! "!! ! "α!! !! " " ! "! β ! ! "β " "! " " ! α λ !!!! ! """ ""! ! "!β"!!" ! ! "" ""! "!! !!!! ! " !! ! ! !"! "!! " ! ! α"!
More information