14 citations · 14 across the 9 of their papers we have counts for
9 papers
Instruction Set and Language for Hypergraphs
Mario Pascual-Gonzalez, Ezequiel Lopez-Rubio
We present IsalHG, a method for representing the structure of any finite, connected hypergraph of bounded hyperedge arity as a string over a compact instruction alphabet $Σ_{\mathr…
Variable-length Gray codes for the Natural Numbers
Ezequiel López-Rubio
The modular -ary Gray code arranges fixed-length -ary representations of intervals of natural numbers so that consecutive numbers differ in a single digit. Its usefulness, ho…
Grid Programs: A Two-Dimensional, Variable-Free Model of Computation
Ezequiel López-Rubio
We introduce Grid Programs, a novel model of computation in which programs are finite two-dimensional arrangements of instructions on an integer grid rather than linear sequences o…
From Latent Space to Training Data: Explainable Specialization in Minimal MLPs
Enrique Alba, Ezequiel Lopez-Rubio
We here study whether training biases can make hidden neurons specialize in minimal one-hidden-layer MLPs, and whether such specialization improves prototype-based reconstruction o…
The IsalProgram Programming Language
Ezequiel López-Rubio
We introduce IsalProgram (Instruction Set and Language for Programming), a novel assembly-like programming language with three distinctive theoretical properties: (1) it is a regul…
SLIM-Diff: Shared Latent Image-Mask Diffusion with Lp loss for Data-Scarce Epilepsy FLAIR MRI
Mario Pascual-González, Ariadna Jiménez-Partinen, R. M. Luque-Baena +2
Focal cortical dysplasia (FCD) lesions in epilepsy FLAIR MRI are subtle and scarce, making joint image--mask generative modeling prone to instability and memorization. We propose S…
A Foundational Theory of Quantitative Abstraction: Adjunctions, Duality, and Logic for Probabilistic Systems
Nivar Anwer, Ezequiel López-Rubio, David Elizondo +1
The analysis and control of stochastic dynamical systems rely on probabilistic models such as (continuous-space) Markov decision processes, but large or continuous state spaces mak…
Likelihood criteria for the universe
Ezequiel López-Rubio
The development of science and technology has progressively demonstrated the ability of humankind to understand and manipulate the physical world, and it has also shown some fundam…
Radial basis function kernel optimization for Support Vector Machine classifiers
Karl Thurnhofer-Hemsi, Ezequiel López-Rubio, Miguel A. Molina-Cabello +1
Support Vector Machines (SVMs) are still one of the most popular and precise classifiers. The Radial Basis Function (RBF) kernel has been used in SVMs to separate among classes wit…