ユーザーからの補助情報を用いる
独立低ランク行列分析

2-R1-6

大島風雅 (香川高専), 中野将生 (筑波大学), 北村大地 (香川高専)
1. 研究背景

2. 従来手法と提案手法（続き）- 特定の音源 nt のみが沈黙している時間の指定• ブラインド音源分離: 混合系が不明な観測信号から混合前の音源を推定

yij = Wi xij

xij = Ai sij<latexit sha1_base64="4Ny6hbeSts7I6ywyr8wjVP53NDo=">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</latexit>

提案手法(a), (b) 共通

従来手法

M

<latexit sha1_base64="DOIpFGIDJr+9IOZjWb+YXyhw1g4=">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</latexit><latexit sha1_base64="rYOW6T9Jqv0uk1i3vFSdnCKQdA0=">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</latexit>

vkjs ,nt , · · · , vkje ,nt1

Wi = Ai となるような分離行列
Wi を求める
i : 周波数インデクス j : 時間インデクス

音源
sij

分離信号
yij

観測信号
xij

<latexit sha1_base64="q2FQ9VMZIWNWBUxif6tkC04o7Zs=">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</latexit><latexit sha1_base64="WW18Tujp7CTTDmLNwo6aCefgIQk=">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</latexit>

vkjs ,nt , · · · , vkje ,nt

基底行列 アクティベーション行列

Tn

Xn

Vn

<latexit sha1_base64="Shh3pdDfzXcG/XsL4CvB8u51CAk=">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</latexit>

Amplitude

Time
AmplitudeTime", · · · , " 8k<latexit sha1_base64="Wf4Lpq4YH1ZdwY+EUc2I+jIr2u4=">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</latexit>

I T1

vk1,nt , · · · , vk(js 1),nt↵, ↵, · · · , ↵ 8k↵, ↵, · · · , ↵ 8k

2J

i

k

<latexit sha1_base64="2i3DnXHCWRF/6+v5BRl1LciJlyw=">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</latexit>

Wi = (wi,1 , · · · wi,n , · · · wi,N )H

K<latexit sha1_base64="jRMm9nGiultiqpqdC7IsBG9Z/tw=">AAACgnichVFNLwNBGH66ivouLhKXRkPEoZnVhhKHJi4SF0WRVNPsrsGm+5XdaROa/gGuxMGJxEHc/QEXf8DBTxBHEhcH7243BFHvZGbeeeZ93nkmj+oYuicYe4xIbdH2js5YV3dPb1//QHxwaMOzq67GC5pt2O6Wqnjc0C1eELow+JbjcsVUDb6pVhb9+80adz3dttbFgcNLprJn6bu6pgiC8svleJKlWBCJ34kcJkmEsWLHb7GNHdjQUIUJDguCcgMKPBpFyGBwCCuhTphLmR7cczTQTdwqVXGqUAit0LpHp2KIWnT2e3oBW6NXDJouMRMYZw/smr2we3bDntj7n73qQQ9fywHtapPLnfLA0cja278sk3aB/S9WS80Cu8gGWnXS7gSI/wutya8dnr2sza+O1yfYJXsm/Rfskd3RD6zaq3aV56vnLfSopKVB9sg/zSB75uay6czMJ7IxnZLTqel8JpnLhEbFMIoxTJIbs8hhCSsoUHeOY5zgVIpKU5IspZulUiTkDONbSAsfdkuPyQ==</latexit><latexit sha1_base64="jCbfxVijXIEUjnupVGWGjdYi1n4=">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</latexit>

アクティベーション
行列<latexit sha1_base64="jRMm9nGiultiqpqdC7IsBG9Z/tw=">AAACgnichVFNLwNBGH66ivouLhKXRkPEoZnVhhKHJi4SF0WRVNPsrsGm+5XdaROa/gGuxMGJxEHc/QEXf8DBTxBHEhcH7243BFHvZGbeeeZ93nkmj+oYuicYe4xIbdH2js5YV3dPb1//QHxwaMOzq67GC5pt2O6Wqnjc0C1eELow+JbjcsVUDb6pVhb9+80adz3dttbFgcNLprJn6bu6pgiC8svleJKlWBCJ34kcJkmEsWLHb7GNHdjQUIUJDguCcgMKPBpFyGBwCCuhTphLmR7cczTQTdwqVXGqUAit0LpHp2KIWnT2e3oBW6NXDJouMRMYZw/smr2we3bDntj7n73qQQ9fywHtapPLnfLA0cja278sk3aB/S9WS80Cu8gGWnXS7gSI/wutya8dnr2sza+O1yfYJXsm/Rfskd3RD6zaq3aV56vnLfSopKVB9sg/zSB75uay6czMJ7IxnZLTqel8JpnLhEbFMIoxTJIbs8hhCSsoUHeOY5zgVIpKU5IspZulUiTkDONbSAsfdkuPyQ==</latexit>

K<latexit sha1_base64="jRMm9nGiultiqpqdC7IsBG9Z/tw=">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</latexit>

K

基底行列

j = js<latexit sha1_base64="hBVuTIn9PVSV8gGOJTFI27M/WXo=">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</latexit>↵ でリセットj = je<latexit sha1_base64="+gmlHsKn2rJSGdzcKMtp/qx0VzE=">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</latexit>

ねらい

I T1
<latexit sha1_base64="DohLarT9GQuZ4wrrl5Hf1wYl/t8=">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</latexit>

T2

⇥

V1
V2

K

J

アクティベーション
行列
K
K

基底行列

特定の音源だけが沈黙している時間を指定することで，それ以外の
1
下線部が0に近づく(Wi Ui,n ) en
音源間の周波数毎の空間相関 Ui,n1
Hwi,n (wi,n Ui,n wi,n ) 2
がより正確に求まる

wi,n

wi,n

3. 比較実験

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解決すべき問題

初期乱数によってブロックパーミュテーションが発生しILRMAの分離が失敗する
本研究の目的2. 従来手法と提案手法

実験パラメタ

実験信号（SiSEC2011のUNDタスク）
混合信号

音源

パラメタ

値

no. 1

dev1_female3_synthconv_130ms_5cm_sim_1

STFT長

128ms

dev1_female3_synthconv_130ms_5cm_sim_2

STFT窓関数

ハミング窓

dev1_male3_synthconv_130ms_5cm_sim_1

NMF基底数3

dev1_male3_synthconv_130ms_5cm_sim_2

ILRMA反復回数

160

no. 2

ユーザーからのアノテーションを受けてブロックパーミュテーションを起こさないようにILRMAの最適化を誘導するアルゴリズムを改良，実験的に調査，考察する

no. 3

dev1_male3_synthconv_130ms_5cm_sim_1
dev1_female3_synthconv_130ms_5cm_sim_2

80回ILRMAの反復を行った後，アノテーションを与えた場合と与えなかった場合のSDR（source-to-distortion ratio）を比較• 実験結果• インタラクティブ音源分離システム[中野ら, 2020]

・周波数アノテーションを与えた場合(a) no.1, (b) no.2, (c) no.3

ブロックパーミュテーション問題とは- パーミュテーション不整合がまとまった周波数でおこること・時間アノテーションを与えた場合(a) no.1, (b) no.2, (c) no.3

ある音源の周波数帯域が別の音源に現れている

アノテーション情報の活用法- ブロックパーミュテーション発生周波数を直接指定- 特定の音源のみが沈黙している時間を指定

ユーザーが目視でブロック
パーミュテーションを判別，ユーザーからのアノテーショ
ンをアルゴリズムに与える• ユーザーからのアノテーション情報の活用法- ブロックパーミュテーション発生周波数の指定
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N

従来手法

W1

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…

交換

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I

交換

I

T1
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T2

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wis ,ns , · · · , wie ,ns

リセット

i = isWi si = is交換<latexit sha1_base64="dnxWtXbq1fgMZ45A6r0BjglqyN8=">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</latexit><latexit sha1_base64="XQSHN1B9vGXAtNmjVW6VTL983RM=">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</latexit>⇥<latexit sha1_base64="kCVq5EGW8SMfgMCunmWxrDHZopc=">AAACh3ichVFNL0NBFD19vj9bbCQ2jYZY1VSbKitiY6mq1YSmee8ZjL6vvDdtQuMPWNkJViQWYu8P2PgDFv0JYkliY+H29YUguJOZuXPmnjtncjTHEJ5krBFS2to7Oru6e3r7+gcGw5Gh4YJnV12d53XbsN2ipnrcEBbPSyENXnRcrpqawde1ylLzfr3GXU/Y1prcd3jJVHcssS10VRJU2JTC5F45EmNx5kf0Z5IIkhiCWLEjt9jEFmzoqMIEhwVJuQEVHo0NJMDgEFZCnTCXMuHfcxyil7hVquJUoRJaoXWHThsBatG52dPz2Tq9YtB0iRnFBHtg1+yZ3bMb9sjefu1V93s0tezTrrW43CmHj0Zzr/+yTNoldj9Zf2qW2EbG1ypIu+MjzV/oLX7t4OQ5N786UZ9kl+yJ9F+wBrujH1i1F/0qy1fP/9CjkZZDsifx3QyyZ24uk0ylP5DCTDyRjM9kU7GFTGBUN8YwjilyYxYLWMYK8tR9D8c4xZnSo0wraSWoVUIBZwRfQll8B+FkkjI=</latexit>

V1<latexit sha1_base64="jRMm9nGiultiqpqdC7IsBG9Z/tw=">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</latexit>

K<latexit sha1_base64="kIpvxPc49iacqxCf2xKa7/2IJIA=">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</latexit>

V2<latexit sha1_base64="jRMm9nGiultiqpqdC7IsBG9Z/tw=">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</latexit>

K<latexit sha1_base64="ABW0RfXWDZU6VOYsaFxu9LlZinU=">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</latexit><latexit sha1_base64="++hwLErLg18KMu3L4qY5W2QIDBE=">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</latexit>…

<latexit sha1_base64="XQSHN1B9vGXAtNmjVW6VTL983RM=">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</latexit>

WI 1<latexit sha1_base64="jRMm9nGiultiqpqdC7IsBG9Z/tw=">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</latexit>

K<latexit sha1_base64="hXmbwPHtj+omLTMWZK6GJZ7o1t8=">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</latexit><latexit sha1_base64="jRMm9nGiultiqpqdC7IsBG9Z/tw=">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</latexit>

K

基底行列

分離行列

<latexit sha1_base64="e+M5rzzFvKMrvdHeKlwHltFeaOY=">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</latexit>

アクティベーション
行列

is , ie : ブロックパーミュテーションが発生している
周波数帯域 （ is < ie ）<latexit sha1_base64="Moh2pN9seTCKMxw2cg83ZDHO6Lc=">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</latexit>, wis ,nt , · · · , wie ,nt

tis k,ns , · · · , tie k,ns
<latexit sha1_base64="QwaLfbEoEX01Es3o8O//MATNYXY=">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</latexit>, tis k,nt , · · · , tie k,nt 8k

全ての信号において提案手法は従来手法を上回るか，同等の精度を示している
提案手法は従来手法と比較して安定かつ高精度

追加

提案手法

原稿の正誤表<latexit sha1_base64="hQdADr2Tq6u00ZVAjxHiQ40IXNc=">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</latexit>

ns : ブロックパーミュテーションが発生している音源
nt : 移動先の音源インデクス<latexit sha1_base64="6cvpOiEF8NgepQ2dlOGCY/ByoXk=">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</latexit><latexit sha1_base64="pwRwrKoXb8aEAboL3A4Z2k10GrM=">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</latexit>

vkj,n

⇢

<latexit sha1_base64="dAgCwI1Y4F5vb55aBjVXYkdkOCk=">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</latexit>

8k, j, n⇢ : (0, 1) の一様乱数<latexit sha1_base64="JpaNWt9/IjOTR3/U1V9d0LsDJ0o=">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</latexit><latexit sha1_base64="AHsBk4cgFzCzkx6DD5+Wpon+mGg=">AAACiHichVFNLwNRFD3Gd30VG4mNaEgl0txpBbVqsLD0VW1SIjPj4cV0ZjIzbVKNP2BjiViRWIgf4AfY+AMWfoJYkthYuJ1OCIL78t6777x77nsnR3dM6flEDw1KY1NzS2tbe6Sjs6u7J9rbt+bZJdcQWcM2bTeva54wpSWyvvRNkXdcoRV1U+T0vbnafa4sXE/a1qpfccRGUdux5LY0NJ+hbJzG1bHNaIwSFMTQz0QNkxjCWLSjN1jHFmwYKKEIAQs+5yY0eDwKUEFwGNtAlTGXMxncCxwgwtwSVwmu0Bjd43WHT4UQtfhc6+kFbINfMXm6zBzCCN3TFT3THV3TI7392qsa9Kj9pcK7XucKZ7PncGDl9V9WkXcfu5+sPxg6V/+tycc2pgMtkrU5AVJTadT7l/ePn1dmlkeqo3RBT6zvnB7olhVa5RfjckksnyHCBqnf7WCD0unp1MTkB7KWTKipRHJpIpaZD61qwyCGEWc/ppDBAhaR5XcljnCCUyWikDKlpOulSkPI6ceXUGbfAUU9kKk=</latexit>

p.2 2.3.1節 l.1

誤: i = e 正: i = ie<latexit sha1_base64="XBVRcB0cwpI742DOL0trT5CHqIU=">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</latexit><latexit sha1_base64="aU5B+rKZHDAyxePGEEbpP+36FYI=">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</latexit>

誤: L 正: K
表記揺れの修正 NMF基底数
NMF基底インデクス 誤: l 正: k<latexit sha1_base64="t5KXLxZuuyN4wewrNedwS7MKuqE=">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</latexit>

ねらい

アクティベーション行列をリセットすることで局所解から抜け出すことを期待K<latexit sha1_base64="dnxWtXbq1fgMZ45A6r0BjglqyN8=">AAACi3ichVG7SgNBFD1ZX/GZqI1gIwbFKkwSURMsAiJYqjEP1BB211GX7IvdTSAu+QFrwUIUFCzE3h+w8Qcs8gliqWBj4d3NoqgY7zAzd87cc+cMRzJVxXYYa4WEru6e3r5w/8Dg0PBIJDo6VrCNmiXzvGyohlWSRJuris7zjuKovGRaXNQklRel6op3X6xzy1YMfctpmLysiQe6sq/IokPQ9q6kuVvNiptsVqIxFmd+TP1OEkESQxDrRvQOu9iDARk1aODQ4VCuQ

1X
1P
Ui,n =
xij xHij
J jtv
k ik,n kj,nlog | det Wi |K

J<latexit sha1_base64="dnxWtXbq1fgMZ45A6r0BjglqyN8=">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</latexit>↵ : [1.0 ⇥ 10 , 1.1 ⇥ 10 ] の乱数5<latexit sha1_base64="jRMm9nGiultiqpqdC7IsBG9Z/tw=">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</latexit><latexit sha1_base64="ABW0RfXWDZU6VOYsaFxu9LlZinU=">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</latexit>

提案手法(b)" でリセット5

j = je<latexit sha1_base64="kIpvxPc49iacqxCf2xKa7/2IJIA=">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</latexit>↵ 8k, j, n 6= nt

vkj,n<latexit sha1_base64="21sNj1+8fyzoDIwm5EHlvyD9nfE=">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</latexit>

V1
V2

T2

- なぜ特定の音源が沈黙している時間を指定するか
反復射影法[Ono, 2011] により分離行列の更新式
は次式で表される

X⇥<latexit sha1_base64="DohLarT9GQuZ4wrrl5Hf1wYl/t8=">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</latexit><latexit sha1_base64="DTiHYTDQTkjATbR/CkqI4+yOv8c=">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</latexit>

周波数のときと同様に，パラメタをリセットすることで局所解から抜け出せることを期待

ILRMAのコスト関数
"
#
H
X
X
|wi,n
xij |2PJ =+ logtik,n vkj,n
t
v
ik,n
kj,n
k
i,j,n

j = js<latexit sha1_base64="kCVq5EGW8SMfgMCunmWxrDHZopc=">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</latexit>

追加

提案手法(b)<latexit sha1_base64="RiWSHQO1rPLg71x24AgEW7qRDCM=">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</latexit>• 独立低ランク行列分析 （ILRMA）: 周波数領域独立成分分析の音源モデルとしてNMFを導入したブラインド音源分離<latexit sha1_base64="D/lIz0Ohvv2kkFFsSBjMA/Y7G5E=">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</latexit>" : 正の微小値（ 10 15 ）vk(js +1),nt , · · · , vkJ,nt

n : 音源インデクス<latexit sha1_base64="IQRhm3vu8+PaqUjDGxEk43ZB0Pg=">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</latexit>⇢ 8i, nwi,n<latexit sha1_base64="zWKGPHL+fx7OAB5Q4R78vizVyDs=">AAADD3ichVHLahRBFL3dvuL4yBhBBBcWDgkuhqEmCSZxFdCFyzycJJAOTXWnJimnuqqpqukQm5kPyM6VC1cKLsQPyE4EN/oBLvIJ4kaI4MaFd3paoxHjbbrr1qlzbvXhRKkU1lF64PmnTp85e27kfOXCxUuXR6tXxlas7pqYt2IttVmLmOVSKN5ywkm+lhrOkkjy1ahzb3C+mnFjhVYP3W7KNxK2pURbxMwhFFb3sjDvPAptXYWuVydBvKmdrZMhyguUTASStx0zRu+QIGOGp1ZIrY7Yv4H9ftDWhklJOiQIKkGU5Du9MBd1dWyO2dak3yc/2UgIqzXaoEWRv5tm2dSgrAVd3YcANkFDDF1IgIMCh70EBhafdWgChRSxDcgRM9iJ4pxDDyqo7SKLI4Mh2sHvFu7WS1ThfjDTFuoYb5H4GlQSGKcf6St6SN/T1/QT/f7PWXkxY/Avu7hGQy1Pw9G968vf/qtKcHWwfaQ6QREh+2RPDtowW3gR6C0tkIHLeDg/e/z0cPnu0ng+QV/Qz+jvOT2g79Chyr7GLxf50jOoYEDN43FgQHNzs1PTd34hK5ON5lRjcnG6Nn+/jGoEbsAtuI15zMA8PIAFaOG9X7xr3k2P+E/8ff+N/3ZI9b1ScxX+KP/DD0atxY4=</latexit>

音源のスペクトルパタンとそのアクティベーションに分解<latexit sha1_base64="3YiT7zpAS1c2Og7j44LZa5z+2OM=">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</latexit>

Frequency

Frequency<latexit sha1_base64="CBbb2TfupydV4TUnMw+IaQV1fWA=">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</latexit>

提案手法(a)" でリセット<latexit sha1_base64="ssUS3CUfAzE8mc1wBfcqkR4y+VA=">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</latexit>• 非負値行列因子分解（NMF）: 低ランクモデリングによる行列分解

WI

分離行列

変更

提案手法(a)リセット<latexit sha1_base64="lSIXWDJzsOQuzrdcOZVu8HBH5XA=">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</latexit><latexit sha1_base64="W9v1uGEpZa1q4aGQG42FLZy4bPo=">AAACZHichVG7SgNBFD1ZXzE+EhVBECQYIlZhEsVXJdpYGmMSQSXsrpM4ZF/sbgIx+APaKhZWCiLiZ9j4Axb5AUEsI9hYeLNZFBX1DjNz58w9d87cq1iacFzGGgGpo7OruyfYG+rrHxgMR4aGc45ZsVWeVU3NtLcU2eGaMHjWFa7Gtyyby7qi8bxSXm3d56vcdoRpbLo1i+/qcskQRaHKLkFpUYjEWIJ5Fv3pJH0nBt/Wzcg1drAHEyoq0MFhwCVfgwyHxjaSYLAI20WdMJs84d1zHCJE3ApFcYqQCS3TWqLTto8adG7ldDy2Sq9oNG1iRhFnD+yGNdk9u2VP7O3XXHUvR0tLjXalzeVWIXw0lnn9l6XT7mL/k/WnZhdFLHhaBWm3PKT1C7XNrx6cNTNLG/H6FLtkz6T/gjXYHf3AqL6oV2m+cY4QNSD5vdzUgMXFhZnZuQ8kl0okZxKp9GxsecVvRRDjmMQ01Xsey1jDOrL0LscxTnAaeJT6pRFptB0qBXzOCL6YNPEO6JKKEw==</latexit><latexit sha1_base64="/A4mCTDxQ0qNbZMaoeze9+uApZ4=">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</latexit><latexit sha1_base64="zI7FMx4zLtu9gSc7mLG6rBd/xus=">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</latexit>

入力行列<latexit sha1_base64="DksvWRyyYpThgTsg7QM85q2LRlM=">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</latexit><latexit sha1_base64="xhz5ZnaU4YruRTqMpDUvhgLFEMM=">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</latexit>⇢で<latexit sha1_base64="cZu7PFtOMQshLN04ijl4wYaHHXQ=">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</latexit>"vkjs ,nt , · · · , "vkje ,nt 8k<latexit sha1_base64="k/BaSqI8DwE33sVxHUxnp4MuOjs=">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</latexit>

W1<latexit sha1_base64="bE4fAAUAkw6THUPtZeyRL7EfpHE=">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</latexit>

…

分離行列

混合行列

N

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