activity
20122025
most citedScientific Machine Learning through Physics-Informed Neural Networks: Where we are and What's next

83 citations · 256 across the 14 of their papers we have counts for

collaborators

14 papers

math.NA2025

Inverse modeling of porous flow through deep neural networks: the case of coffee percolation

Antoniorenee Barletta, Salvatore Cuomo, Nadaniela Egidi +2

This work addresses the inverse problem of espresso coffee extraction, in which one aims to reconstruct the brewing conditions that generate a desired chemical profile in the final…

math.NA2022★ 1 cited

The effect of time discretization on the solution of parabolic PDEs with ANNs

Francesco Calabrò, Salvatore Cuomo, Daniela di Serafino +2

We investigate the resolution of parabolic PDEs via Extreme Learning Machine (ELMs) Neural Networks, which have a single hidden layer and can be trained at a modest computational c…

math.PR2022

A sojourn-based approach to semi-Markov Reinforcement Learning

Giacomo Ascione, Salvatore Cuomo

In this paper we introduce a new approach to discrete-time semi-Markov decision processes based on the sojourn time process. Different characterizations of discrete-time semi-Marko…

cs.LG2022★ 83 cited

Scientific Machine Learning through Physics-Informed Neural Networks: Where we are and What's next

Salvatore Cuomo, Vincenzo Schiano di Cola, Fabio Giampaolo +3

Physics-Informed Neural Networks (PINN) are neural networks (NNs) that encode model equations, like Partial Differential Equations (PDE), as a component of the neural network itsel…

cs.LG2021★ 7 cited

Heterogeneous Data Fusion Considering Spatial Correlations using Graph Convolutional Networks and its Application in Air Quality Prediction

Zhengjing Ma, Gang Mei, Salvatore Cuomo +1

Heterogeneous data are commonly adopted as the inputs for some models that predict the future trends of some observations. Existing predictive models typically ignore the inconsist…

cs.LG2021★ 3 cited

Kernel-Based Models for Influence Maximization on Graphs based on Gaussian Process Variance Minimization

Salvatore Cuomo, Wolfgang Erb, Gabriele Santin

The inference of novel knowledge, the discovery of hidden patterns, and the uncovering of insights from large amounts of data from a multitude of sources make Data Science (DS) to…

cs.LG2020★ 81 cited

Julia Language in Machine Learning: Algorithms, Applications, and Open Issues

Kaifeng Gao, Gang Mei, Francesco Piccialli +3

Machine learning is driving development across many fields in science and engineering. A simple and efficient programming language could accelerate applications of machine learning…

math.NA2019★ 3 cited

Adaptive RBF Interpolation for Estimating Missing Values in Geographical Data

Kaifeng Gao, Gang Mei, Salvatore Cuomo +2

The quality of datasets is a critical issue in big data mining. More interesting things could be mined from datasets with higher quality. The existence of missing values in geograp…

physics.soc-ph2018

Degree Distribution of Delaunay Triangulations

Gang Mei, Nengxiong Xu, Salvatore Cuomo

Delaunay triangulation can be considered as a type of complex networks. For complex networks, the degree distribution is one of the most important inherent characteristics. In this…

math.NA2016

Computational issues and numerical experiments for Linear Multistep Method Particle Filtering

Daniela Calvetti, Salvatore Cuomo, Monica Pragliola +2

The Linear Multistep Method Particle Filter (LMM PF) is a method for predicting the evolution in time of a evolutionary system governed by a system of differential equations. If so…

math.NA2014★ 3 cited

An error estimate of Gaussian Recursive Filter in 3Dvar problem

S. Cuomo, R. Farina, A. Galletti +1

Computational kernel of the three-dimensional variational data assimilation (3D-Var) problem is a linear system, generally solved by means of an iterative method. The most costly p…

math.NA2014★ 33 cited

A Revised Scheme to Compute Horizontal Covariances in an Oceanographic 3D-VAR Assimilation System

R. Farina, S. Dobricic, A. Storto +2

We propose an improvement of an oceanographic three dimensional variational assimilation scheme (3D-VAR), named OceanVar, by introducing a recursive filter (RF) with the third orde…

cs.DC2013★ 41 cited

Surface Reconstruction from Scattered Point via RBF Interpolation on GPU

Salvatore Cuomo, Ardelio Gallettiy, Giulio Giuntay +1

In this paper we describe a parallel implicit method based on radial basis functions (RBF) for surface reconstruction. The applicability of RBF methods is hindered by its computati…

math.NA2012★ 1 cited

A PCG Implementation of an Elliptic Kernel in an Ocean Global Circulation Model Based on GPU Libraries

Salvatore Cuomo, Pasquale De Michele, Raffaele Farina +1

In this paper an inverse preconditioner for the numerical solution of an elliptic Laplace prob- lem of a global circulation ocean model is presented. The inverse preconditiong tech…