Title
Classification of unions of subspaces with sparse representations
Abstract
We propose a preliminary investigation on the benefits and limitations of classifiers based on sparse representations. We specifically focus on the union of subspaces data model and examine binary classifiers built on a sparse non linear mapping (in a redundant dictionary) followed by a linear classifier. We study two common sparse non linear mappings (namely l0 and l1) and show that, in both cases, there exists a finite dictionary such that the classifier discriminates the two classes correctly. This result paves the way towards a better understanding of the increasingly popular classifiers based on sparse representations, and provides initial insights on appropriate dictionary design.
Year
DOI
Venue
2013
10.1109/ACSSC.2013.6810518
Pacific Grove, CA
Keywords
Field
DocType
compressed sensing,signal classification,signal representation,binary classifiers,dictionary design,finite dictionary,linear classifier,redundant dictionary,sparse nonlinear mapping,sparse representations,subspaces data model,unions
K-SVD,Pattern recognition,Computer science,Sparse approximation,Feature extraction,Linear subspace,Artificial intelligence,Linear classifier,Classifier (linguistics),Data model,Machine learning,Binary number
Conference
ISSN
ISBN
Citations 
1058-6393
978-1-4799-2388-5
1
PageRank 
References 
Authors
0.38
11
2
Name
Order
Citations
PageRank
Alhussein Fawzi176636.80
Pascal Frossard23015230.41