293 citations · 540 across the 20 of their papers we have counts for
24 papers
Elimination-compensation pruning for fully-connected neural networks
Enrico Ballini, Luca Muscarnera, Alessio Fumagalli +2
The unmatched ability of Deep Neural Networks in capturing complex patterns in large and noisy datasets is often associated with their large hypothesis space, and consequently to t…
Model reduction of parametric ordinary differential equations via autoencoders: representation properties and convergence analysis
Enrico Ballini, Marco Gambarini, Alessio Fumagalli +3
We propose a reduced-order modeling approach for nonlinear, parameter-dependent ordinary differential equations (ODE). Dimensionality reduction is achieved using nonlinear maps rep…
Free convection in fractured porous media: a numerical study
Arash Andrea Roknian, Anna Scotti, Alessio Fumagalli
The objective of this study is to better understand the influence of fractures on the possibility of free convection in porous media. To this aim, we introduce a mathematical model…
A hybrid upwind scheme for two-phase flow in fractured porous media
Enrico Ballini, Luca Formaggia, Alessio Fumagalli +2
Simulating the flow of two fluid phases in porous media is a challenging task, especially when fractures are included in the simulation. Fractures may have highly heterogeneous pro…
Application of Deep Learning Reduced-Order Modeling for Single-Phase Flow in Faulted Porous Media
Enrico Ballini, Luca Formaggia, Alessio Fumagalli +2
We apply reduced-order modeling (ROM) techniques to single-phase flow in faulted porous media, accounting for changing rock properties and fault geometry variations using a radial…
A mixed-dimensional model for direct current simulations in presence of a thin high-resistivity liner
Alessio Fumagalli, Lorenzo Panzeri, Luca Formaggia +2
In this work we present a mixed-dimensional mathematical model to obtain the electric potential and current density in direct current simulations when a thin liner is included in t…