Title
Generalized Subspace Based High Dimensional Density Estimation
Abstract
Our paper presents a novel high dimensional probability density estimation technique using any dimensionality reduction method. Our method first performs subspace reduction using any matrix factorization algorithm and estimates the density in the low-dimensional space using sample-point variable bandwidth kernel density estimation. Subsequently, the high dimensional density is approximated from the low dimensional density parameters. The reconstruction error due to dimensionality reduction process is also modeled in a principled and efficient manner to obtain the high dimensional density estimate. We show the effectiveness of our technique by using two popular dimensionality reduction tools, principal component analysis and non-negative matrix factorization. This technique is applied to AT&T, Yale, Pointing'04 and CMU-PIE face recognition datasets and improved performance compared to other dimensionality reduction and density estimation algorithms is obtained.
Year
DOI
Venue
2011
10.1109/ICIP.2011.6115826
2011 18TH IEEE INTERNATIONAL CONFERENCE ON IMAGE PROCESSING (ICIP)
Keywords
Field
DocType
Probability density function, Principal component analysis, Face recognition
Density estimation,Dimensionality reduction,Multivariate kernel density estimation,Pattern recognition,Matrix decomposition,Artificial intelligence,Variable kernel density estimation,Probability density function,Principal component analysis,Mathematics,Kernel density estimation
Conference
ISSN
Citations 
PageRank 
1522-4880
0
0.34
References 
Authors
10
5
Name
Order
Citations
PageRank
Karthikeyan Shanmuga Vadivel100.34
Mehmet Emre Sargin256522.30
Swapna Joshi3283.18
B. S. Manjunath47561783.37
Scott T. Grafton543245.40