Search Results - "Pokharel, P.P."

Correntropy: Properties and Applications in Non-Gaussian Signal Processing by Weifeng Liu, Pokharel, P.P., Principe, J.C.

“…The optimality of second-order statistics depends heavily on the assumption of Gaussianity. In this paper, we elucidate further the probabilistic and geometric…”
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Generalized correlation function: definition, properties, and application to blind equalization by Santamaria, I., Pokharel, P.P., Principe, J.C.

“…With an abundance of tools based on kernel methods and information theoretic learning, a void still exists in incorporating both the time structure and the…”
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The Kernel Least-Mean-Square Algorithm by Weifeng Liu, Pokharel, P.P., Principe, J.C.

“…The combination of the famed kernel trick and the least-mean-square (LMS) algorithm provides an interesting sample-by-sample update for an adaptive filter in…”
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Error Entropy, Correntropy and M-Estimation by Weifeng Liu, Pokharel, P.P., Principe, J.C.

“…Minimization of the error entropy (MEE) cost function was introduced for nonlinear and non-Gaussian signal processing. In this paper, we show that this cost…”
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Correntropy: A Localized Similarity Measure by Weifeng Liu, Pokharel, P.P., Principe, J.C.

“…The measure of similarity normally utilized in statistical signal processing is based on second order moments. In this paper, we reveal the probabilistic…”
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Recursively Adapted Radial Basis Function Networks and its Relationship to Resource Allocating Networks and Online Kernel Learning by Wei-Feng Liu, Pokharel, P.P., Principe, J.C.

“…This paper proposes a recursively adapted radial basis function network and provides additional insights into several well-known techniques such as radial…”
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An Explicit Construction Of A Reproducing Gaussian Kernel Hilbert Space by Jian-Wu Xu, Pokharel, P.P., Kyu-Hwa Jeong, Principe, J.C.

“…In this paper, we propose a method to explicitly construct a reproducing kernel Hilbert space (RKHS) associated with a Gaussian kernel by means of polynomial…”
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A Closed Form Solution for a Nonlinear Wiener Filter by Pokharel, P.P., Jian-Wu Xu, Erdogmus, D., Principe, J.C.

“…In this paper a nonlinear extension to the Wiener filter is presented. A direct approach has been devised of replacing the autocorrelation function with a…”
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Kernel Based Synthetic Discriminant Function for Object Recognition by Kyu-Hwa Jeong, Pokharel, P.P., Jian-Wu Xu, Seungju Han, Principe, J.C.

“…In this paper a non-linear extension to the synthetic discriminant function (SDF) is proposed. The SDF is a well known 2-D correlation filter for object…”
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Correntropy Based Matched Filtering by Pokharel, P.P., Agrawal, R., Principe, J.C.

“…In this paper a non-linear extension to the matched filter is proposed and applied to signal detection. The decision statistic used in this novel method is…”
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Nonlinear Component Analysis Based on Correntropy by Jian-Wu Xu, Pokharel, P.P., Paiva, A.R.C., Principe, J.C.

“…In this paper, we propose a new nonlinear principal component analysis based on a generalized correlation function which we call correntropy. The data is…”
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