12 citations · 12 across the 3 of their papers we have counts for
3 papers
cs.LG2025
Is Stochastic Gradient Descent Effective? A PDE Perspective on Machine Learning processes
Davide Barbieri, Matteo Bonforte, Peio Ibarrondo
In this paper we analyze the behaviour of the stochastic gradient descent (SGD), a widely used method in supervised learning for optimizing neural network weights via a minimizatio…
math.AP2024
Time-Fractional Porous Medium Type Equations. Sharp Time Decay and Regularization
Matteo Bonforte, Maria Gualdani, Peio Ibarrondo
We consider a class of porous medium type of equations with Caputo time derivative. The prototype problem reads as $\Dc u=-\A u^m$ and is posed on a bounded Euclidean domain $Ω\sub…
math.AP2022★ 12 cited
The Cauchy-Dirichlet Problem for Singular Nonlocal Diffusions on Bounded Domains
Matteo Bonforte, Peio Ibarrondo, Mikel Ispizua
We study the homogeneous Cauchy-Dirichlet Problem (CDP) for a nonlinear and nonlocal diffusion equation of singular type of the form posed on a bou…