Introduction – Problem Statements and Models
Andrzej S Cichocki, Rafał Zdunek, Anh Huy Phan, Шун-ичи Амари · 2009
This chapter contains sections titled: Blind Source Separation and Linear Generalized Component Analysis Matrix Factorization Models with Nonnegativity and Sparsity Constraints Basic Approaches to Estimate Parameters of Standard NMF Tensor Properties and Basis of Tensor Algebra Tensor Decompositions and Factorizations Discussion and Conclusions Appendix 1.A: Uniqueness Conditions for Three-way Tensor Factorizations Appendix 1.B: Singular Value Decomposition (SVD) and Principal Component Analysis (PCA) with Sparsity and/or Nonnegativity Constraints Appendix 1.C: Determining a True Number of Components Appendix 1.D: Nonnegative Rank Factorization Using Wedderborn Theorem – Estimation of the Number of Components References