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Using zero-norm constraint for sparse probability density function estimation

X. Hong, S. Chen and C.J. Harris

International Journal of Systems Science, 2012, vol. 43, issue 11, 2107-2113

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.

Date: 2012
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DOI: 10.1080/00207721.2011.564673

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