Beyond second-order statistics for learning: A pairwise interaction model for entropy estimation
Natural Computing: an international journal
Potential Energy and Particle Interaction Approach for Learning in Adaptive Systems
ICANN '02 Proceedings of the International Conference on Artificial Neural Networks
Vector quantization using information theoretic concepts
Natural Computing: an international journal
An analysis of entropy estimators for blind source separation
Signal Processing
Feature Extraction Using Information-Theoretic Learning
IEEE Transactions on Pattern Analysis and Machine Intelligence
Some Equivalences between Kernel Methods and Information Theoretic Methods
Journal of VLSI Signal Processing Systems
Analysis and design of echo state networks
Neural Computation
Computational Intelligence and Neuroscience - EEG/MEG Signal Processing
Information Theoretical Approach to Identification of Hybrid Systems
HSCC '08 Proceedings of the 11th international workshop on Hybrid Systems: Computation and Control
Comparison of Shannon, Renyi and Tsallis Entropy Used in Decision Trees
ICAISC '08 Proceedings of the 9th international conference on Artificial Intelligence and Soft Computing
Using correntropy as a cost function in linear adaptive filters
IJCNN'09 Proceedings of the 2009 international joint conference on Neural Networks
A model-based adaptive motion estimation scheme using Renyi's entropy for wireless video
Journal of Visual Communication and Image Representation
Entropy based robust estimator and its application to line-based mapping
Robotics and Autonomous Systems
Information theoretic learning with adaptive kernels
Signal Processing
Mean-square convergence analysis of ADALINE training with minimum error entropy criterion
IEEE Transactions on Neural Networks
WSEAS TRANSACTIONS on COMMUNICATIONS
International Journal of Systems, Control and Communications
A linear discriminant analysis method based on mutual information maximization
Pattern Recognition
Δ-Entropy: Definition, properties and applications in system identification with quantized data
Information Sciences: an International Journal
Neural network classification: maximizing zero-error density
ICAPR'05 Proceedings of the Third international conference on Advances in Pattern Recognition - Volume Part I
An entropy approach to filtering for networked control systems
International Journal of Computer Applications in Technology
Kernel minimum error entropy algorithm
Neurocomputing
An information theoretic sparse kernel algorithm for online learning
Expert Systems with Applications: An International Journal
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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 information content of the error signal rather than merely trying to minimize its energy. In this paper, we propose a generalization of the error entropy criterion that enables the use of any order of Renyi's entropy and any suitable kernel function in density estimation. It is shown that the proposed entropy estimator preserves the global minimum of actual entropy. The equivalence between global optimization by convolution smoothing and the convolution by the kernel in Parzen windowing is also discussed. Simulation results are presented for time-series prediction and classification where experimental demonstration of all the theoretical concepts is presented.