Gram-Schmidt Orthonormalization to the Adaptive ICA Function for Fixing the Permutation Ambiguity

被引：3

作者：

Matsuda, Yoshitatsu ^{[1
]}

Yamaguchi, Kazunori ^{[1
]}

机构：

[1] Univ Tokyo, Grad Sch Arts & Sci, Dept Gen Syst Studies, Meguro Ku, 3-8-1 Komaba, Tokyo 1538902, Japan

来源：

NEURAL INFORMATION PROCESSING, ICONIP 2016, PT II | 2016年 / 9948卷

关键词：

D O I：

10.1007/978-3-319-46672-9_18

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Recently, we have proposed a new objective function of ICA called the adaptive ICA function (AIF). AIF is a summation of weighted 4th-order statistics, where the weights are determined by adaptively estimated kurtoses. In this paper, the Gram-Schmidt orthonormalization is applied to the optimization of AIF. The proposed method is theoretically guaranteed to extract the independent components in the unique order of the degree of non-Gaussianity. Consequently, it enables us to fix the permutation ambiguity. Experimental results on blind image separation problems show the usefulness of the proposed method.

引用

页码：152 / 159

页数：8

共 11 条

[1] Amari S, 1996, ADV NEUR IN, V8, P757
[2] Permutation Method for ICA Separated Source Signal Blocks in Time Domain
Amishima, Takeshi
Okamura, Atsushi
Morita, Shinichi
Kirimoto, Tetsuo
[J]. IEEE TRANSACTIONS ON AEROSPACE AND ELECTRONIC SYSTEMS, 2010, 46 (02) : 899 - 904
[3] BLIND BEAMFORMING FOR NON-GAUSSIAN SIGNALS
CARDOSO, JF
SOULOUMIAC, A
[J]. IEE PROCEEDINGS-F RADAR AND SIGNAL PROCESSING, 1993, 140 (06) : 362 - 370
[4] Cichocki A., 2002, ADAPTIVE BLIND SIGNA
[5] Comon P, 2010, HANDBOOK OF BLIND SOURCE SEPARATION: INDEPENDENT COMPONENT ANALYSIS AND APPLICATIONS, P1
[6] Hyvärinen A, 2001, INDEPENDENT COMPONENT ANALYSIS: PRINCIPLES AND PRACTICE, P71
[7] Blind source separation by nonstationarity of variance:: A cumulant-based approach
Hyvärinen, A
[J]. IEEE TRANSACTIONS ON NEURAL NETWORKS, 2001, 12 (06): : 1471 - 1474
[8] Matsuda Y., 2016, P IJCNN2016 IN PRESS
[9] Objective Function of ICA with Smooth Estimation of Kurtosis
Matsuda, Yoshitatsu
Yamaguchi, Kazunori
[J]. NEURAL INFORMATION PROCESSING, PT III, 2015, 9491 : 164 - 171
[10] A robust and precise method for solving the permutation problem of frequency-domain blind source separation
Sawada, H
Mukai, R
Araki, S
Makino, S
[J]. IEEE TRANSACTIONS ON SPEECH AND AUDIO PROCESSING, 2004, 12 (05): : 530 - 538

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