Title
Using zero-norm constraint for sparse probability density function estimation
Abstract
A new sparse kernel probability density function pdf estimator based on zero-norm constraint is constructed using the classical Parzen window PW estimate as the target function. The so-called zero-norm of the parameters is used in order to achieve enhanced model sparsity, and it is suggested to minimize an approximate function of the zero-norm. It is shown that under certain condition, the kernel weights of the proposed pdf estimator based on the zero-norm approximation can be updated using the multiplicative nonnegative quadratic programming algorithm. Numerical examples are employed to demonstrate the efficacy of the proposed approach.
Year
DOI
Venue
2012
10.1080/00207721.2011.564673
Int. J. Systems Science
Keywords
Field
DocType
so-called zero-norm,density function pdf estimator,sparse probability density function,proposed pdf estimator,zero-norm constraint,zero-norm approximation,target function,approximate function,new sparse kernel probability,kernel weight,parzen window,quadratic program,probability density function,cross validation
Kernel (linear algebra),Density estimation,Mathematical optimization,Multiplicative function,Quadratic programming,Probability density function,Mathematics,Kernel (statistics),Estimator,Kernel density estimation
Journal
Volume
Issue
ISSN
43
11
0020-7721
Citations 
PageRank 
References 
5
0.47
8
Authors
3
Name
Order
Citations
PageRank
X. Hong115711.12
S. Chen250.47
C. J. Harris31327.59