5 papers
Structural interpretability in SVMs with truncated orthogonal polynomial kernels
Víctor Soto-Larrosa, Nuria Torrado, Edmundo J. Huertas
We study post-training interpretability for Support Vector Machines (SVMs) built from truncated orthogonal polynomial kernels. Since the associated reproducing kernel Hilbert space…
On linear systems of moment differential equations with singularities of the first kind
Alberto Lastra, Cruz Prisuelos-Arribas, Victor Soto-Larrosa
The solution to systems of moment differential equations of the form are provided, for a matrix with general good spectrum. Existence and convergence of…
Symmetric Truncated Freud polynomials
Edmundo J. Huertas, Alberto Lastra, Francisco Marcellán +1
We define the family of symmetric truncated Freud polynomials , orthogonal with respect to the linear functional defined by \begin{equation*} \langle \mathbf…
On zero behavior of higher-order Sobolev-type discrete q-Hermite I orthogonal polynomials
Edmundo J. Huertas, Alberto Lastra, Anier Soria-Lorente +1
In this work, we investigate the sequence of monic q-Hermite I-Sobolev type orthogonal polynomials of higher-order, denoted as , which are orthog…
On a moment generalization of some classical second-order differential equations generating classical orthogonal polynomials
Edmundo J. Huertas, Alberto Lastra, Víctor Soto-Larrosa
The aim of the work is to construct new polynomial systems, which are solutions to certain functional equations which generalize the second-order differential equations satisfied b…