most citedA Recipe for Learning Variably Scaled Kernels via Discontinuous Neural Networks

2 citations · 4 across the 5 of their papers we have counts for

collaborators

5 papers

math.NA2026

Graph-Instructed Neural Networks for parametric problems with varying boundary conditions

Francesco Della Santa, Sandra Pieraccini, Maria Strazzullo

This work addresses the accurate and efficient simulation of physical phenomena governed by parametric Partial Differential Equations (PDEs) characterized by varying boundary condi…

cs.LG2024

GradINN: Gradient Informed Neural Network

Filippo Aglietti, Francesco Della Santa, Andrea Piano +1

We propose Gradient Informed Neural Networks (GradINNs), a methodology inspired by Physics Informed Neural Networks (PINNs) that can be used to efficiently approximate a wide range…

cs.LG2024★ 1 cited

Edge-Wise Graph-Instructed Neural Networks

Francesco Della Santa, Antonio Mastropietro, Sandra Pieraccini +1

The problem of multi-task regression over graph nodes has been recently approached through Graph-Instructed Neural Network (GINN), which is a promising architecture belonging to th…

math.NA2024★ 2 cited

A Recipe for Learning Variably Scaled Kernels via Discontinuous Neural Networks

Gianluca Audone, Francesco Della Santa, Emma Perracchione +1

The efficacy of interpolating via Variably Scaled Kernels (VSKs) is known to be dependent on the definition of a proper scaling function, but no numerical recipes to construct it a…

math.OC2024★ 1 cited

A New Linear Programming Approach and a New Backtracking Strategy for Multiple-Gradient Descent in Multi-Objective Optimization

Francesco Della Santa

In this work, the author presents a novel method for finding descent directions shared by two or more differentiable functions defined on the same unconstrained domain space. Then,…