Search Results for author: Luis G. Sanchez Giraldo

Found 9 papers, 1 papers with code

An Analytic Solution for Kernel Adaptive Filtering

no code implementations5 Feb 2024 Benjamin Colburn, Luis G. Sanchez Giraldo, Kan Li, Jose C. Principe

We provide an extended functional Wiener equation, and present a solution to this equation in an explicit, finite dimensional, data-dependent RKHS.

An Alternate View on Optimal Filtering in an RKHS

no code implementations19 Dec 2023 Benjamin Colburn, Jose C. Principe, Luis G. Sanchez Giraldo

Kernel Adaptive Filtering (KAF) are mathematically principled methods which search for a function in a Reproducing Kernel Hilbert Space.

Time Series Time Series Prediction

The Functional Wiener Filter

no code implementations31 Dec 2022 Benjamin Colburn, Luis G. Sanchez Giraldo, Jose C. Principe

Because of the lack of congruence between the Gaussian RKHS and the space of time series, we compare performance of two pre-imaging algorithms: a fixed-point optimization (FWFFP) that finds and approximate solution in the RKHS, and a local model implementation named FWFLM.

Time Series Time Series Analysis

A Stable Combinatorial Particle Swarm Optimization for Scalable Feature Selection in Gene Expression Data

no code implementations24 Jan 2019 Hassen Dhrif, Luis G. Sanchez Giraldo, Miroslav Kubat, Stefan Wuchty

Evolutionary computation (EC) algorithms, such as discrete and multi-objective versions of particle swarm optimization (PSO), have been applied to solve the Feature selection (FS) problem, tackling the combinatorial explosion of search spaces that are peppered with local minima.

feature selection General Classification

Correspondence of Deep Neural Networks and the Brain for Visual Textures

1 code implementation7 Jun 2018 Md Nasir Uddin Laskar, Luis G. Sanchez Giraldo, Odelia Schwartz

Deep convolutional neural networks (CNNs) trained on objects and scenes have shown intriguing ability to predict some response properties of visual cortical neurons.

Group-Wise Point-Set Registration Based on Renyi's Second Order Entropy

no code implementations CVPR 2017 Luis G. Sanchez Giraldo, Erion Hasanbelliu, Murali Rao, Jose C. Principe

In this paper, we describe a set of robust algorithms for group-wise registration using both rigid and non-rigid transformations of multiple unlabelled point-sets with no bias toward a given set.

Rate-Distortion Auto-Encoders

no code implementations28 Dec 2013 Luis G. Sanchez Giraldo, Jose C. Principe

Here, we propose a learning algorithm for auto-encoders based on a rate-distortion objective that minimizes the mutual information between the inputs and the outputs of the auto-encoder subject to a fidelity constraint.

Information Theoretic Learning with Infinitely Divisible Kernels

no code implementations16 Jan 2013 Luis G. Sanchez Giraldo, Jose C. Principe

In this paper, we develop a framework for information theoretic learning based on infinitely divisible matrices.

Metric Learning

Measures of Entropy from Data Using Infinitely Divisible Kernels

no code implementations11 Nov 2012 Luis G. Sanchez Giraldo, Murali Rao, Jose C. Principe

In this way, capitalizing on both the axiomatic definition of entropy and on the representation power of positive definite kernels, the proposed measure of entropy avoids the estimation of the probability distribution underlying the data.

Clustering Dimensionality Reduction +1

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