Title
Probabilistic Low-Rank Subspace Clustering.
Abstract
In this paper, we consider the problem of clustering data points into low-dimensional subspaces in the presence of outliers. We pose the problem using a density estimation formulation with an associated generative model. Based on this probability model, we first develop an iterative expectation-maximization (EM) algorithm and then derive its global solution. In addition, we develop two Bayesian methods based on variational Bayesian (VB) approximation, which are capable of automatic dimensionality selection. While the first method is based on an alternating optimization scheme for all unknowns, the second method makes use of recent results in VB matrix factorization leading to fast and effective estimation. Both methods are extended to handle sparse outliers for robustness and can handle missing values. Experimental results suggest that proposed methods are very effective in clustering and identifying outliers.
Year
Venue
Field
2012
NIPS
Density estimation,CURE data clustering algorithm,Pattern recognition,Computer science,Matrix decomposition,Artificial intelligence,Probabilistic logic,Missing data,Cluster analysis,Machine learning,Generative model,Bayesian probability
DocType
Citations 
PageRank 
Conference
8
0.47
References 
Authors
21
3
Name
Order
Citations
PageRank
S. Derin Babacan153426.60
Nakajima, Shinichi262738.83
Minh N. Do31681133.55