9 citations · 14 across the 12 of their papers we have counts for
12 papers
Physics Informed Neural Networks for Learning the Horizon Size in Bond-Based Peridynamic Models
Fabio V. Difonzo, Luciano Lopez, Sabrina F. Pellegrino
This paper broaches the peridynamic inverse problem of determining the horizon size of the kernel function in a one-dimensional model of a linear microelastic material. We explore…
Inverse Physics-Informed Neural Networks for transport models in porous materials
Marco Berardi, Fabio Difonzo, Matteo Icardi
Physics-Informed Neural Networks (PINN) are a machine learning tool that can be used to solve direct and inverse problems related to models described by Partial Differential Equati…
Optimal Chaining of Vehicle Plans with Time Windows
David Fiedler, Fabio V. Difonzo, Jan Mrkos
For solving problems from the domain of Mobility-on-Demand (MoD), we often need to connect vehicle plans into plans spanning longer time, a process we call plan chaining. As we sho…
A Randomized Runge-Kutta Method for time-irregular delay differential equations
Fabio V. Difonzo, Paweł Przybyłowicz, Yue Wu +1
In this paper we investigate the existence, uniqueness and approximation of solutions of delay differential equations (DDEs) with the right-hand side functions that ar…
Convergence Analysis of a Spectral Numerical Method for a Peridynamic Formulation of Richards' Equation
Fabio V. Difonzo, Sabrina F. Pellegrino
We study the implementation of a Chebyshev spectral method with forward Euler integrator to investigate a peridynamic nonlocal formulation of Richards' equation. We prove the conve…
Physics Informed Neural Networks for an Inverse Problem in Peridynamic Models
Fabio Vito Difonzo, Luciano Lopez, Sabrina Francesca Pellegrino
Deep learning is a powerful tool for solving data driven differential problems and has come out to have successful applications in solving direct and inverse problems described by…
A preliminary model for optimal control of moisture content in unsaturated soils
Marco Berardi, Fabio V. Difonzo, Roberto Guglielmi
In this paper we introduce an optimal control approach to Richards' equation in an irrigation framework, aimed at minimizing water consumption while maximizing root water uptake. W…
Set-Valued Analysis of Generalized Barycentric Coordinates and Their Geometric Properties
Fabio V. Difonzo
Letting be a convex polytope in with vertices, we study geometric and analytical properties of the set of generalized barycentric coordinates relative to a…
Predictability and Fairness in Load Aggregation with Deadband
F. V. Difonzo, M. Roubalik, J. Marecek
Virtual power plants and load aggregation are becoming increasingly common. There, one regulates the aggregate power output of an ensemble of distributed energy resources (DERs). M…
On the Injectivity of Mean Value Mapping between Convex Quadrilaterals
Luca Dieci, Fabio V. Difonzo
We prove that Mean Value mapping between convex quadrilaterals is injective, affirmatively proving a conjecture stated in M. S. Floater and J. Kosinka, On the injectivity of Wachsp…
Stochastic Langevin Differential Inclusions with Applications to Machine Learning
Fabio V. Difonzo, Vyacheslav Kungurtsev, Jakub Marecek
Stochastic differential equations of Langevin-diffusion form have received significant attention, thanks to their foundational role in both Bayesian sampling algorithms and optimiz…
Existence, uniqueness and approximation of solutions to Carathéodory delay differential equations
Fabio V. Difonzo, Paweł Przybyłowicz, Yue Wu
In this paper we address the existence, uniqueness and approximation of solutions of delay differential equations (DDEs) with Carathéodory type right-hand side functions. We provid…