83 citations · 173 across the 26 of their papers we have counts for
6 papers · 1 filter
ROM for Viscous, Incompressible Flow in Polygons -- exponential -width bounds and convergence rate
Francesco Romor, Federico Pichi, Giovanni Stabile +2
We demonstrate exponential convergence of Reduced Order Model (ROM) approximations for mixed boundary value problems of the stationary, incompressible Navier-Stokes equations in pl…
Time Extrapolation with Graph Convolutional Autoencoder and Tensor Train Decomposition
Yuanhong Chen, Federico Pichi, Zhen Gao +1
Graph autoencoders have gained attention in nonlinear reduced-order modeling of parameterized partial differential equations defined on unstructured grids. Despite they provide a g…
Convergence and Sketching-Based Efficient Computation of Neural Tangent Kernel Weights in Physics-Based Loss
Max Hirsch, Federico Pichi
In multi-objective optimization, multiple loss terms are weighted and added together to form a single objective. These weights are chosen to properly balance the competing losses a…
Sparse Identification for bifurcating phenomena in Computational Fluid Dynamics
Lorenzo Tomada, Moaad Khamlich, Federico Pichi +1
This work investigates model reduction techniques for nonlinear parameterized and time-dependent PDEs, specifically focusing on bifurcating phenomena in Computational Fluid Dynamic…
Nonlinear reduction strategies for data compression: a comprehensive comparison from diffusion to advection problems
Isabella Carla Gonnella, Federico Pichi, Gianluigi Rozza
This work presents an overview of several nonlinear reduction strategies for data compression from various research fields, and a comparison of their performance when applied to pr…
Deflation-based certified greedy algorithm and adaptivity for bifurcating nonlinear PDEs
Federico Pichi, Maria Strazzullo
This work deals with tailored reduced order models for bifurcating nonlinear parametric partial differential equations, where multiple coexisting solutions arise for a given parame…