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20242026
most citedPTPI-DL-ROMs: pre-trained physics-informed deep learning-based reduced order models for nonlinear parametrized PDEs

1 citations · 1 across the 5 of their papers we have counts for

collaborators

5 papers

cs.LG2026

Multi-Fidelity SINDy: Sparse Discovery of Nonlinear Dynamical Systems with Fidelity-Weighted Measurements

Filippo Zacchei, Ana Larrañaga, Attilio Frangi +2

Data from simulations and experiments are rarely noise-free and often exhibit heterogeneous levels of fidelity. Measurement uncertainty may vary across repeated observations, sensi…

cs.LG2025

HypeRL: Hypernetwork-Based Reinforcement Learning for Control of Parametrized Dynamical Systems

Nicolò Botteghi, Stefania Fresca, Mengwu Guo +1

In this work, we devise a new, general-purpose reinforcement learning strategy for the optimal control of parametric dynamical systems. Such problems frequently arise in applied sc…

math.NA2024

Handling geometrical variability in nonlinear reduced order modeling through Continuous Geometry-Aware DL-ROMs

Simone Brivio, Stefania Fresca, Andrea Manzoni

Deep Learning-based Reduced Order Models (DL-ROMs) provide nowadays a well-established class of accurate surrogate models for complex physical systems described by parametrized PDE…

math.NA2024

On latent dynamics learning in nonlinear reduced order modeling

Nicola Farenga, Stefania Fresca, Simone Brivio +1

In this work, we present the novel mathematical framework of latent dynamics models (LDMs) for reduced order modeling of parameterized nonlinear time-dependent PDEs. Our framework…

math.NA2024★ 1 cited

PTPI-DL-ROMs: pre-trained physics-informed deep learning-based reduced order models for nonlinear parametrized PDEs

Simone Brivio, Stefania Fresca, Andrea Manzoni

The coupling of Proper Orthogonal Decomposition (POD) and deep learning-based ROMs (DL-ROMs) has proved to be a successful strategy to construct non-intrusive, highly accurate, sur…