학술논문

Non-Negative Tensor Factorization using Alpha and Beta Divergences
Document Type
Conference
Source
2007 IEEE International Conference on Acoustics, Speech and Signal Processing - ICASSP '07 Acoustics, Speech and Signal Processing, 2007. ICASSP 2007. IEEE International Conference on. 3:III-1393-III-1396 Apr, 2007
Subject
Signal Processing and Analysis
Components, Circuits, Devices and Systems
Tensile stress
Blind source separation
Source separation
Multidimensional systems
Data analysis
Image representation
Least squares methods
Noise robustness
Convergence
Additive noise
Optimization
Learning systems
Linear approximation
Signal representations
Feature extraction
Language
ISSN
1520-6149
2379-190X
Abstract
In this paper we propose new algorithms for 3D tensor decomposition/factorization with many potential applications, especially in multi-way Blind Source Separation (BSS), multidimensional data analysis, and sparse signal/image representations. We derive and compare three classes of algorithms: Multiplicative, Fixed-Point Alternating Least Squares (FPALS) and Alternating Interior-Point Gradient (AIPG) algorithms. Some of the proposed algorithms are characterized by improved robustness, efficiency and convergence rates and can be applied for various distributions of data and additive noise.