activity
20122026
most citedThe Cayley-Dickson process for dialgebras

1 citations · 1 across the 9 of their papers we have counts for

collaborators

9 papers

cs.LG2026

Physics-Modeled Neural Networks

Raul Felipe-Sosa, Angel Martin del Rey, Maria Flores Ceballos

We introduce \emph{Dynamical Physics-Modeled Neural Networks} (DynPMNNs), a continuous-time deep learning architecture in which each hidden layer is defined as the solution of an o…

math.AP2026

A boundary integral approach to the eigenvalue problem for the anisotropic bidomain operator with perfect contact conditions

Raul Felipe-Sosa, Yofre H. García-Gómez

In this work, we study the eigenvalue problem associated with the bidomain operator in an anisotropic heterogeneous domain composed of three subregions representing the left ventri…

math.FA2026

Generalized Reproducing Kernel Banach Spaces: A Functional Analytic Framework for Abstract Neural Networks

Raul Felipe-Sosa

In this paper, we introduce a generalization of Reproducing Kernel Banach Spaces (RKBS), which we term \emph{Generalized Reproducing Kernel Banach Spaces} (GRKBS). The motivation s…

math.AP2022

On the strong convergence of the Faedo-Galerkin approximations to a strong T-periodic solution of the torso-coupled bi-domain model

Raúl Felipe-Sosa, André Fraguela-Collar, Yofre H. García Gómez

In this paper, we investigate the convergence of the Faedo-Galerkin approximations, in a strong sense, to a strong T-periodic solution of the torso-coupled bidomain model where …

eess.SP2021

On the Concept of Frequency in Signal Processing

Móises Soto-Bajo, Andrés Fraguela Collar, Javier Herrera Vega +1

Frequency is a central concept in Mathematics, Physics, and Signal Processing. It is the main tool for describing the oscillatory behavior of signals, which is usually argued to be…

math-ph2020

-states and quantum channels between indefinite metric spaces

Raul Felipe-Sosa, Raul Felipe

In the present work, we introduce and study the concepts of state and quantum channel on spaces equipped with an indefinite metric. Exclusively, we will limit our analysis to the m…