학술논문

An EM-algorithm approach for the design of orthonormal bases adapted to sparse representations
Document Type
Conference
Source
2010 IEEE International Conference on Acoustics, Speech and Signal Processing Acoustics Speech and Signal Processing (ICASSP), 2010 IEEE International Conference on. :2046-2049 Mar, 2010
Subject
Bioengineering
Communication, Networking and Broadcast Technologies
Computing and Processing
Signal Processing and Analysis
Dictionaries
Lagrangian functions
Expectation-maximization algorithms
Compressed sensing
Noise reduction
Iterative algorithms
Training data
Bit rate
Rate-distortion
Sparse matrices
Sparse representations
dictionary learning
expectation-maximization algorithm
Language
ISSN
1520-6149
2379-190X
Abstract
In this paper, we consider the problem of dictionary learning for sparse representations. Several algorithms dealing with this problem can be found in the literature. One of them, introduced by Sezer et al. in [1] optimizes a dictionary made up of the union of orthonormal bases. In this paper, we propose a probabilistic interpretation of Sezer's algorithm and suggest a novel optimization procedure based on the EM algorithm. Comparisons of the performance in terms of missed detection rate show a clear superiority of the proposed approach.