Using zero-norm constraint for sparse probability density function estimationHong, X. ORCID: https://orcid.org/0000-0002-6832-2298, 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 Full text not archived in this repository. It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing. To link to this item DOI: 10.1080/00207721.2011.564673 Abstract/SummaryA 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.
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