Title
Probabilistic Subspace Clustering Via Sparse Representations
Abstract
We present a probabilistic subspace clustering approach that is capable of rapidly clustering very large signal collections. Each signal is represented by a sparse combination of basis elements (atoms), which form the columns of a dictionary matrix. The set of sparse representations is utilized to derive the co-occurrences matrix of atoms and signals, which is modeled as emerging from a mixture model. The components of the mixture model are obtained via a non-negative matrix factorization (NNMF) of the co-occurrences matrix, and the subspace of each signal is estimated according to a maximum-likelihood (ML) criterion. Performance evaluation demonstrate comparable clustering accuracies to state-of-the-art at a fraction of the computational load.
Year
DOI
Venue
2013
10.1109/LSP.2012.2229705
IEEE Signal Process. Lett.
Keywords
Field
DocType
signal representation,pattern clustering,signal estimation,dictionary,sparse matrices,maximum likelihood estimation,signal collections,basis elements,probabilistic subspace clustering,nnmf,dictionary matrix,computational load,subspace clustering,cooccurrences matrix,nonnegative matrix factorization,matrix decomposition,ml criterion,performance evaluation,non-negative matrix factorization,clustering accuracy,mixture model,aspect model,sparse combination,sparse representation,maximum-likelihood criterion,probability,sparse representations
K-SVD,Correlation clustering,Pattern recognition,Sparse approximation,Matrix decomposition,Non-negative matrix factorization,Artificial intelligence,Biclustering,Cluster analysis,Sparse matrix,Mathematics
Journal
Volume
Issue
ISSN
20
1
1070-9908
Citations 
PageRank 
References 
17
0.66
9
Authors
3
Name
Order
Citations
PageRank
Amir Adler1968.81
Michael Elad211274854.93
Yacov Hel-Or346140.74