AM
Andrea Manzoni
cs.NAmath.NAcs.LGmath.OCcs.CEmath.DSModels, Cardiovascularcardiac electrophysiologydeep learningmath.AP
On Valency
published · living versionsW_u7fv394b·v1 · currentpublished
Reinforcement learning for control of partial differential equations
with Nicolò Botteghi, Matteo Tomasetto
1 version
Preprints & journals
78 papers in the corpus · 2011–2026Cognitive behavior emerging in mechanical systems through reservoir encoding and active inference2609.23013v1 · Matteo Torzoni, Domenico Maisto, Andrea Manzoni et al.2026 · 0 citationsarXiv
Real-time optimal control with shallow recurrent decoder networks2607.19302v1 · Matteo Tomasetto, Francesco Braghin, J. Nathan Kutz et al.2026 · 0 citationsarXiv
Physics-enhanced reinforcement learning for real-time optimal control of dynamical systems2607.16177v1 · Matteo Tomasetto, Nicolo Botteghi, Gabriele Bruni et al.2026 · 0 citationsarXiv
Flow-aware Optimal Navigation in Unsteady Flows through Reinforcement Learning2607.13553v1 · Andrea Maria Braghin, Nicolo Botteghi, Matteo Tomasetto et al.2026 · 0 citationsarXiv
Multi-Fidelity SINDy: Sparse Discovery of Nonlinear Dynamical Systems with Fidelity-Weighted Measurements2606.15690v1 · Filippo Zacchei, Ana Larranaga, Attilio Frangi et al.2026 · 0 citationsarXiv
Multi-Agent Digital Twins for Strategic Decision-Making using Active Inference2604.12657v1 · Francesco Maria Mancinelli, Matteo Torzoni, Domenico Maisto et al.2026 · 0 citationsarXiv
VENI, VINDy, VICI: A generative reduced-order modeling framework with uncertainty quantification.41548446 · Conti, Paolo, Kneifl, Jonas, Manzoni, Andrea et al.2026 · 5 citationsNeural networks : the official journal of the International Neural Network Society. 2026;198:108543
Multi-Fidelity Delayed Acceptance: hierarchical MCMC sampling for Bayesian inverse problems combining multiple solvers through deep neural networks2512.16430v1 · Filippo Zacchei, Paolo Conti, Attilio Alberto Frangi et al.2025 · 1 citationarXiv
Adaptive digital twins for predictive decision-making: Online Bayesian learning of transition dynamics2512.13919v3 · Eugenio Varetti, Matteo Torzoni, Marco Tezzele et al.2025 · 0 citationsarXiv
Reduced order modeling with shallow recurrent decoder networks.41271698 · Tomasetto, Matteo, Williams, Jan P, Braghin, Francesco et al.2026 · 20 citationsNature communications. 2025;16(1):10260
Progressive multi-fidelity learning with neural networks for physical system predictions2510.13762v2 · Paolo Conti, Mengwu Guo, Attilio Frangi et al.2025 · 3 citationsarXiv
HypeMARL: Multi-Agent Reinforcement Learning For High-Dimensional, Parametric, and Distributed Systems2509.16709v1 · Nicolo Botteghi, Matteo Tomasetto, Urban Fasel et al.2025 · 0 citationsarXiv
Active Digital Twins via Active Inference2506.14453v2 · Matteo Torzoni, Domenico Maisto, Andrea Manzoni et al.2025 · 2 citationsarXiv
Patient-specific prediction of glioblastoma growth via reduced order modeling and neural networks.40473100 · Cerrone, D, Riccobelli, D, Gazzoni, S et al.2025 · 7 citationsMathematical biosciences. 2025;387:109468
On latent dynamics learning in nonlinear reduced order modeling.39874823 · Farenga, Nicola, Fresca, Stefania, Brivio, Simone et al.2025 · 6 citationsNeural networks : the official journal of the International Neural Network Society. 2025;185:107146
HypeRL: Hypernetwork-Based Reinforcement Learning for Control of Parametrized Dynamical Systems2501.04538v2 · Nicolo Botteghi, Stefania Fresca, Mengwu Guo et al.2025 · 0 citationsarXiv
Latent feedback control of distributed systems in multiple scenarios through deep learning-based reduced order models2412.09942v1 · Matteo Tomasetto, Francesco Braghin, Andrea Manzoni2024 · 9 citationsarXiv
Handling geometrical variability in nonlinear reduced order modeling through Continuous Geometry-Aware DL-ROMs2411.05486v1 · Simone Brivio, Stefania Fresca, Andrea Manzoni2024 · 10 citationsarXiv
Interpretable and Efficient Data-driven Discovery and Control of Distributed Systems2411.04098v1 · Florian Wolf, Nicolo Botteghi, Urban Fasel et al.2024 · 1 citationarXiv
An optimal control strategy to design passive thermal cloaks of arbitrary shape2406.05905v1 · Riccardo Saporiti, Carlo Sinigaglia, Andrea Manzoni et al.2024 · 1 citationarXiv
Recurrent Deep Kernel Learning of Dynamical Systems2405.19785v3 · Nicolo Botteghi, Paolo Motta, Andrea Manzoni et al.2024 · 0 citationsarXiv
Enhancing Bayesian model updating in structural health monitoring via learnable mappings2405.13648v2 · Matteo Torzoni, Andrea Manzoni, Stefano Mariani2024 · 17 citationsarXiv
Uncertainty quantification and sensitivity analysis of neuron models with ion concentration dynamics.38771746 · Signorelli, Letizia, Manzoni, Andrea, Sætra, Marte J2024 · 2 citationsPloS one. 2024;19(5):e0303822
PTPI-DL-ROMs: pre-trained physics-informed deep learning-based reduced order models for nonlinear parametrized PDEs2405.08558v1 · Simone Brivio, Stefania Fresca, Andrea Manzoni2024 · 19 citationsarXiv
Deep orthogonal decomposition: a continuously adaptive data-driven approach to model order reduction2404.18841v2 · Nicola Rares Franco, Andrea Manzoni, Paolo Zunino et al.2024 · 1 citationarXiv
EKF-SINDy: Empowering the extended Kalman filter with sparse identification of nonlinear dynamics2404.07536v2 · Luca Rosafalco, Paolo Conti, Andrea Manzoni et al.2024 · 43 citationsComput. Methods Appl. Mech. Eng., 431, 117264, 2024
SINDy vs Hard Nonlinearities and Hidden Dynamics: a Benchmarking Study2403.00578v1 · Aurelio Raffa Ugolini, Valentina Breschi, Andrea Manzoni et al.2024 · 5 citationsarXiv
Deep learning-based surrogate models for parametrized PDEs: Handling geometric variability through graph neural networks.38085228 · Franco, Nicola Rares, Fresca, Stefania, Tombari, Filippo et al.2023 · 34 citationsChaos (Woodbury, N.Y.). 2023;33(12)
Efficient approximation of cardiac mechanics through reduced-order modeling with deep learning-based operator approximation.37921217 · Cicci, Ludovica, Fresca, Stefania, Manzoni, Andrea et al.2024 · 17 citationsInternational journal for numerical methods in biomedical engineering. 2024;40(1):e3783
Nonlinear model order reduction for problems with microstructure using mesh informed neural networks2309.07815v1 · Piermario Vitullo, Alessio Colombo, Nicola Rares Franco et al.2023 · 19 citationsarXiv
Multi-fidelity reduced-order surrogate modeling2309.00325v1 · Paolo Conti, Mengwu Guo, Andrea Manzoni et al.2023 · 3 citationsarXiv
A staggered-in-time and non-conforming-in-space numerical framework for realistic cardiac electrophysiology outputs2308.03884v1 · Elena Zappon, Andrea Manzoni, Alfio Quarteroni2023 · 1 citationarXiv
A digital twin framework for civil engineering structures2308.01445v2 · Matteo Torzoni, Marco Tezzele, Stefano Mariani et al.2023 · 190 citationsarXiv
Error estimates for POD-DL-ROMs: a deep learning framework for reduced order modeling of nonlinear parametrized PDEs enhanced by proper orthogonal decomposition2305.04680v1 · Simone Brivio, Stefania Fresca, Nicola Rares Franco et al.2023 · 21 citationsarXiv
Reduced Order Modeling of Nonlinear Vibrating Multiphysics Microstructures with Deep Learning-Based Approaches.36991715 · Gobat, Giorgio, Fresca, Stefania, Manzoni, Andrea et al.2023 · 16 citationsSensors (Basel, Switzerland). 2023;23(6)
Uncertainty quantification for nonlinear solid mechanics using reduced order models with Gaussian process regression2302.08216v1 · Ludovica Cicci, Stefania Fresca, Mengwu Guo et al.2023 · 37 citationsarXiv
Learning high-order interactions for polygenic risk prediction.36763605 · Massi, Michela C, Franco, Nicola R, Manzoni, Andrea et al.2023 · 8 citationsPloS one. 2023;18(2):e0281618
Approximation bounds for convolutional neural networks in operator learning.36745938 · Franco, Nicola Rares, Fresca, Stefania, Manzoni, Andrea et al.2023 · 22 citationsNeural networks : the official journal of the International Neural Network Society. 2023;161:129-141
Reduced order modeling of parametrized systems through autoencoders and SINDy approach: continuation of periodic solutions2211.06786v2 · Paolo Conti, Giorgio Gobat, Stefania Fresca et al.2022 · 75 citationsarXiv
Multi-fidelity surrogate modeling using long short-term memory networks2208.03115v2 · Paolo Conti, Mengwu Guo, Andrea Manzoni et al.2022 · 90 citationsarXiv
A reduced order model for domain decompositions with non-conforming interfaces2206.09618v3 · Elena Zappon, Andrea Manzoni, Paola Gervasio et al.2022 · 5 citationsarXiv
Robust optimal density control of robotic swarms2205.12592v2 · Carlo Sinigaglia, Andrea Manzoni, Francesco Braghin et al.2022 · 15 citationsarXiv
Slow Conduction Corridors and Pivot Sites Characterize the Electrical Remodeling in Atrial Fibrillation.35589168 · Frontera, Antonio, Pagani, Stefano, Limite, Luca Rosario et al.2022 · 57 citationsJACC. Clinical electrophysiology. 2022;8(5):561-577
Mesh-Informed Neural Networks for Operator Learning in Finite Element Spaces2203.11648v2 · Nicola Rares Franco, Andrea Manzoni, Paolo Zunino2022 · 26 citationsarXiv
Efficient and certified solution of parametrized one-way coupled problems through DEIM-based data projection across non-conforming interfaces2203.09226v1 · Elena Zappon, Andrea Manzoni, Alfio Quarteroni2022 · 4 citationsarXiv
Indirect Optimal Control of Advection-Diffusion Fields through Robotic Swarms2202.09308v1 · Carlo Sinigaglia, Andrea Manzoni, Francesco Braghin et al.2022 · 0 citationsarXiv
Deep-HyROMnet: A deep learning-based operator approximation for hyper-reduction of nonlinear parametrized PDEs2202.02658v1 · Ludovica Cicci, Stefania Fresca, Andrea Manzoni2022 · 40 citationsarXiv
Long-time prediction of nonlinear parametrized dynamical systems by deep learning-based reduced order models2201.10215v1 · Federico Fatone, Stefania Fresca, Andrea Manzoni2022 · 19 citationsarXiv
Deep learning-based reduced order models for the real-time simulation of the nonlinear dynamics of microstructures2111.12511v1 · Stefania Fresca, Giorgio Gobat, Patrick Fedeli et al.2021 · 43 citationsarXiv
Fast active thermal cloaking through PDE-constrained optimization and reduced-order modeling2110.10845v2 · Carlo Sinigaglia, Davide Enrico Quadrelli, Andrea Manzoni et al.2021 · 15 citationsarXiv
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