780 citations · 1.8k across the 76 of their papers we have counts for
6 papers · 1 filter
Estimating Rényi's -Cross-Entropies in a Matrix-Based Way
Isaac J. Sledge, Jose C. Principe
Conventional information-theoretic quantities assume access to probability distributions. Estimating such distributions is not trivial. Here, we consider function-based formulation…
An Information-Theoretic Approach for Automatically Determining the Number of States when Aggregating Markov Chains
Isaac J. Sledge, Jose C. Principe
A fundamental problem when aggregating Markov chains is the specification of the number of state groups. Too few state groups may fail to sufficiently capture the pertinent dynamic…
Reduction of Markov Chains using a Value-of-Information-Based Approach
Isaac J. Sledge, Jose C. Principe
In this paper, we propose an approach to obtain reduced-order models of Markov chains. Our approach is composed of two information-theoretic processes. The first is a means of comp…
Multivariate Extension of Matrix-based Renyi's α-order Entropy Functional
Shujian Yu, Luis Gonzalo Sanchez Giraldo, Robert Jenssen +1
The matrix-based Renyi's α-order entropy functional was recently introduced using the normalized eigenspectrum of a Hermitian matrix of the projected data in a reproducing kernel H…
An Extended Result on the Optimal Estimation under Minimum Error Entropy Criterion
Badong Chen, Guangmin Wang, Nanning Zheng +1
The minimum error entropy (MEE) criterion has been successfully used in fields such as parameter estimation, system identification and the supervised machine learning. There is in…
Period Estimation in Astronomical Time Series Using Slotted Correntropy
Pablo Huijse, Pablo A. Estévez, Pablo Zegers +2
In this letter, we propose a method for period estimation in light curves from periodic variable stars using correntropy. Light curves are astronomical time series of stellar brigh…