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- José Carlos Príncipe
- PRIS
- 2005

of Dissertation Presented to the Graduate School of the University of Florida in Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy INFORMATION THEORETIC LEARNING: RENYI’S… (More)

- Weifeng Liu, Puskal P. Pokharel, José Carlos Príncipe
- IEEE Transactions on Signal Processing
- 2007

The optimality of second-order statistics depends heavily on the assumption of Gaussianity. In this paper, we elucidate further the probabilistic and geometric meaning of the recently defined… (More)

- Weifeng Liu, Puskal P. Pokharel, José Carlos Príncipe
- IEEE Transactions on Signal Processing
- 2008

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 reproducing kernel Hilbert spaces (RKHS),… (More)

- Ignacio Santamaría, Puskal P. Pokharel, José Carlos Príncipe
- IEEE Transactions on Signal Processing
- 2006

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 statistical distribution of the time series… (More)

- Deniz Erdogmus, José Carlos Príncipe
- IEEE Trans. Signal Processing
- 2002

This paper investigates error-entropy-minimization in adaptive systems training. We prove the equivalence between minimization of error’s Renyi entropy of order and minimization of a Csiszar distance… (More)

- Badong Chen, Songlin Zhao, Pingping Zhu, José Carlos Príncipe
- IEEE Transactions on Neural Networks and Learning…
- 2012

In this paper, we propose a quantization approach, as an alternative of sparsification, to curb the growth of the radial basis function structure in kernel adaptive filtering. The basic idea behind… (More)

- Erhan Gokcay, José Carlos Príncipe
- IEEE Trans. Pattern Anal. Mach. Intell.
- 2002

Clustering is one of the important topics in pattern recognition. Since only the structure of the data dictates the grouping (unsupervised learning), information theory is an obvious criteria to… (More)

Algorithms that produce classifiers with large margins, such as support vector machines (SVMs), AdaBoost, etc. are receiving more and more attention in the literature. This paper presents a real… (More)

- José Carlos Príncipe, Bert de Vries, Pedro Guedes de Oliveira
- IEEE Trans. Signal Processing
- 1993

In this paper we introduce the generalized feedforward filter, a new class of adaptive filters that combine attractive properties of Finite Impulse Response (FIR) filters with some of the power of… (More)

- Deniz Erdogmus, José Carlos Príncipe
- IEEE Trans. Neural Networks
- 2002

We have previously proposed the quadratic Renyi's error entropy as an alternative cost function for supervised adaptive system training. An entropy criterion instructs the minimization of the average… (More)