no code implementations • 5 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.
no code implementations • 19 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.
no code implementations • 31 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.
no code implementations • 24 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.
1 code implementation • 7 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.
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.
no code implementations • 28 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.
no code implementations • 16 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.
no code implementations • 11 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.