Nonnegative Compression for Semi-Nonnegative Independent Component Analysis

被引:3
|
作者
Wang, Lu [1 ,2 ,4 ]
Kachenoura, Amar [1 ,2 ,4 ]
Albera, Laurent [1 ,2 ,4 ,5 ]
Karfoul, Ahmad [6 ]
Shu, Hua Zhong [3 ,4 ]
Senhadji, Lotti [1 ,2 ,4 ]
机构
[1] INSERM, UMR 1099, F-35000 Rennes, France
[2] Univ Rennes 1, LTSl, F-35000 Rennes, France
[3] Southeast Univ, LIST, Nanjing 210096, Jiangsu, Peoples R China
[4] Ctr Rech Informat Biomed Sinofranrcais CRIBs, Rennes, France
[5] Ctr Inria Rennes Bretagne Atlantique, INRIA, F-35042 Rennes, France
[6] AL Baath Univ, Mech & Elect Engn, Homs, Syria
来源
2014 IEEE 8TH SENSOR ARRAY AND MULTICHANNEL SIGNAL PROCESSING WORKSHOP (SAM) | 2014年
关键词
D O I
10.1109/SAM.2014.6882343
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
In many Independent Component Analysis (ICA) problems the mixing matrix is nonnegative while the sources are unconstrained, giving rise to what we call hereafter the Semi-Nonnegative ICA (SN-ICA) problems. Exploiting the nonnegativity property can improve the ICA result. Besides, in some practical applications, the dimension of the observation space must be reduced. However, the classical dimension compression procedure, such as prewhitening, breaks the nonnegativity property of the compressed mixing matrix. In this paper, we introduce a new nonnegative compression method, which guarantees the nonnegativity of the compressed mixing matrix. Simulation results show its fast convergence property. An illustration of Blind Source Separation (BSS) of Magnetic Resonance Spectroscopy (MRS) data confirms the validity of the proposed method.
引用
收藏
页码:81 / 84
页数:4
相关论文
共 50 条
  • [1] Semi-nonnegative Independent Component Analysis: The (3,4)-SENICAexp Method
    Coloigner, Julie
    Albera, Laurent
    Karfoul, Ahmad
    Kachenoura, Amar
    Comon, Pierre
    Senhadji, Lotfi
    LATENT VARIABLE ANALYSIS AND SIGNAL SEPARATION, 2010, 6365 : 612 - +
  • [2] Semi-nonnegative joint diagonalization by congruence and semi-nonnegative ICA
    Coloigner, Julie
    Albera, Laurent
    Kachenoura, Amar
    Noury, Fanny
    Senhadji, Lotfi
    SIGNAL PROCESSING, 2014, 105 : 185 - 197
  • [3] Convex and Semi-Nonnegative Matrix Factorizations
    Ding, Chris
    Li, Tao
    Jordan, Michael I.
    IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 2010, 32 (01) : 45 - 55
  • [4] Tight Semi-nonnegative Matrix Factorization
    David W. Dreisigmeyer
    Pattern Recognition and Image Analysis, 2020, 30 : 632 - 637
  • [5] Tight Semi-nonnegative Matrix Factorization
    Dreisigmeyer, David W.
    PATTERN RECOGNITION AND IMAGE ANALYSIS, 2020, 30 (04) : 632 - 637
  • [6] Conditions for nonnegative independent component analysis
    Plumbley, M
    IEEE SIGNAL PROCESSING LETTERS, 2002, 9 (06) : 177 - 180
  • [7] Algorithms for nonnegative independent component analysis
    Plumbley, MD
    IEEE TRANSACTIONS ON NEURAL NETWORKS, 2003, 14 (03): : 534 - 543
  • [8] EXACT AND HEURISTIC ALGORITHMS FOR SEMI-NONNEGATIVE MATRIX FACTORIZATION
    Gillis, Nicolas
    Kumar, Abhishek
    SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2015, 36 (04) : 1404 - 1424
  • [9] EFFICIENT INITIALIZATION FOR NONNEGATIVE MATRIX FACTORIZATION BASED ON NONNEGATIVE INDEPENDENT COMPONENT ANALYSIS
    Kitamura, Daichi
    Ono, Nobutaka
    2016 IEEE INTERNATIONAL WORKSHOP ON ACOUSTIC SIGNAL ENHANCEMENT (IWAENC), 2016,
  • [10] Distribution Preserving Deep Semi-Nonnegative Matrix Factorization
    Tan, Zhuolin
    Qin, Anyong
    Sun, Yongqing
    Tang, Yuan Yan
    2021 IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN, AND CYBERNETICS (SMC), 2021, : 1081 - 1086