Using zero-norm constraint for sparse probability density function estimation
Hong, X., Chen, S. and Harris, C. (2012) Using zero-norm constraint for sparse probability density function estimation. International Journal of Systems Science, 43 (11). pp. 2107-2113. ISSN 0020-7721
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To link to this article DOI: 10.1080/00207721.2011.564673
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.