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バイナリ捻壓蒙羀皀妊襪里燭瓩
喩業v方にラプラス蛍下を喘いた
ベイズモデル
気嵶 筍翫貧 臓`弥 埼岻
苧嵶寄僥 尖垢僥何 沂徨伏凋僥親
及32指 佚催I尖シンポジウム
朕肝 2
バイナリ捻壓蒙羀皀妊
侘ガウスモデル
ラプラス蛍下を喘いたモデル
シミュレ`ション
書瘁のn}
容アルゴリズム
云}
バイナリ捻壓蒙羀皀妊 3
Qyデ`タを蒙羀戰トルの才で燕F
  の勣殆が掲のg方なら掲ミ仭侑鰈啖崕癸NMF
デ`タ方
肝圷方 蒙耊
Qyデ`タ バイナリ佩双 蒙
桑朕のデ`タ 桑朕の蒙
バイナリマスク
[Griffiths 2005]
g方 g方バイナリ
佚催I尖とのvS 4
詞栽^殻
j咄
Qy佚催
咄坿と詞栽^殻を容協
詞栽^殻のみ容協
モデル
鮄胆
鏡羨撹蛍蛍裂
システム揖協
[Knowles 2007]
[Tanji 2016]
畜にはもう富し}j
咄坿
ベイズモデル 5
並念蛍下
喩業 j咄の蛍下を深]
並瘁蛍下
咄坿 Qy佚催詞栽^殻
j咄
どうにかして岑りたい
侘ガウスモデル [Griffiths 2005] 6
並念蛍下
喩業
屎キ峅
ベ`タ蛍下
ベルヌ`イ蛍下
屎キ峅
蒙罿離ぅ鵐妊奪ス
デ`タのインデックス
冩梢の了崔づけ 7
咄坿
詞栽^殻
j咄
容アルゴリズム
喩業
巓x晒
ギブスサンプラ`
巓x晒
箏屮戰ぅ嵯
屎キ峅 [Griffiths 2005]
ラプラス蛍下
Qy佚催
冩梢の了崔づけ 8
ラプラス蛍下
容アルゴリズム
喩業
し蕗スパイクノイズ
咄坿
詞栽^殻 Qy佚催
巓x晒
ギブスサンプラ`
巓x晒
箏屮戰ぅ嵯
屎キ峅 [Griffiths 2005]
ラプラス蛍下 云冩梢
冩梢の了崔づけ 9
容アルゴリズム
喩業
巓x晒
ギブスサンプラ`
巓x晒
箏屮戰ぅ嵯
屎キ峅 [Griffiths 2005]
ラプラス蛍下 云冩梢
朕議
バイナリ捻壓蒙羀皀妊襪
喩業v方?容アルゴリズムを篁させ咾鰌{べる
佚催I尖へのm喘はFuture Work
デ`タの伏撹^殻ラプラス蛍下を聞う 10
並念蛍下
喩業
屎キ峅
ベ`タ蛍下
ベルヌ`イ蛍下
屎キ峅
峺方蛍下 をe蛍肇すれば
喩業がラプラス蛍下になる
蒙罿離ぅ鵐妊奪ス
デ`タのインデックス
巓x晒箏屮戰ぅ嵯┌Collaplsed Variational Bayes 11
並瘁蛍下 駅
}をgにする
恷寄晒するv方
喩業がラプラス蛍下の栽
厚仟塀
が の除貌になる
から を茅いたもの
CVB0テイラ`婢_による除貌 12
豚棋
巓りで方v方をテイラ`婢_
0肝の
云輝に0肝のだけで寄嬋健Q
Notation:
? 0肝のみでもgY議には並瘁蛍下の容が辛嬬
? 云栖は2肝の除貌┘薀廛薀構貌が措い
? LDA畠く`うモデルでは -divergence恷弌晒の吭龍で要輝
テイラ`婢_
0肝 1肝 2肝
[Sato 2012]
シミュレ`ション 13
デ`タ方 128
喩業の蛍柊 0.2
4蒙耊
並念蛍下
タスク 岱方の狼双をバイナリ佩双とgベクトルに蛍盾する
醤悶議な佚催I尖のアプリケ`ションを覿┐靴覆
_J並 容協`餓のL1またはL2ノルムを弌さくできるか
喩業v方 屎キ峅治ラプラス蛍下
容返隈 巓x晒ギブスサンプラ`CGS
巓x晒箏屮戰ぅ嵯┌CVB
栽4宥り
兜豚 5宥り
シミュレ`ションL1ノルム 14
Fig. L1ノルムの容卞
L1ノルムが恷弌
CGS 巓x晒ギブスサンプラ`
CVB0 巓x晒箏屮戰ぅ嵯
? 兜豚、笋┐討皸俺┐靴嘛
? 崩枠によっては尅啜
CVB0
? 岱方なので械に咾
? CVB0より措い盾をkできる
辛嬬來がある
CGS
シミュレ`ションL2ノルム 15
Fig. L2ノルムの容卞
CGS 巓x晒ギブスサンプラ`
CVB0 巓x晒箏屮戰ぅ嵯
? 兜豚、笋┐討皸俺┐靴嘛
? 崩枠によっては尅啜
? 岱方なので械に咾
? CVB0より措い盾をkできる
辛嬬來がある
CVB0
CGS
L2ノルムが恷弌
まとめ 16
容アルゴリズム
喩業
巓x晒
ギブスサンプラ`
巓x晒
箏屮戰ぅ嵯
屎キ峅 [Griffiths 2005]
ラプラス蛍下 云冩梢
書瘁のn}
? 佚催I尖へのm喘とu
? 巓x晒箏屮戰ぅ嵯┐寮輻盾裂
0肝のテイラ`婢_による除貌は要輝か
バイナリ捻壓蒙羀皀妊
猟 17
[Griffiths 2005]
T. Griffiths and Z. Ghahramani, ^Infinite latent feature models and the
Indian buffet process ̄, NIPS2005, pp.475-482, Dec. 2005.
[Knowles 2007]
D.A. Knowles and Z. Ghahramani, ^Infinite sparse factor analysis and infinite
independent components analysis ̄, ICA2007, pp.381-388, Sep. 2007.
[Tanji 2016]
H. Tanji, R. Tanaka T. Murakami, and Y. Ishida, ^FIR system identification
based on a nonparametric Bayesian model using the Indian buffet process ̄,
Signal, Image, and Video Processing, 10(6), pp.1105-1112, Feb. 2016.
[Sato 2012]
I. Sato and H. Nakagawa, ^Rethinking collapsed variational Bayes inference
for LDA ̄, ICML2012, pp.999-1006, Jun. 2012.

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バイナリ捻壓蒙羀皀妊襪里燭瓩林閥皮v方にラプラス蛍下を喘いたベイズモデル