A comprehensive deep learning-based approach to reduced order modeling of nonlinear time-dependent parametrized PDEs

12 January 2020

Papers citing "A comprehensive deep learning-based approach to reduced order modeling of nonlinear time-dependent parametrized PDEs"

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Title
Interpretable Spatial-Temporal Fusion Transformers: Multi-Output Prediction for Parametric Dynamical Systems with Time-Varying Inputs Shuwen Sun Lihong Feng P. Benner 40 0 0 01 May 2025
Coarse graining and reduced order models for plume ejection dynamics Ike Griss Salas Megan R. Ebers Jake Stevens-Haas J. Nathan Kutz 41 0 0 06 Mar 2025
Reduced Order Models and Conditional Expectation -- Analysing Parametric Low-Order Approximations Hermann G. Matthies 42 0 0 17 Feb 2025
Latent feedback control of distributed systems in multiple scenarios through deep learning-based reduced order models Matteo Tomasetto Francesco Braghin Andrea Manzoni OffRL AI4CE 85 0 0 13 Dec 2024
Towards a Real-Time Simulation of Elastoplastic Deformation Using Multi-Task Neural Networks Ruben Schmeitz Joris Remmers Olga Mula Olaf van der Sluis AI4CE 19 0 0 08 Nov 2024
Real-time optimal control of high-dimensional parametrized systems by deep learning-based reduced order models Matteo Tomasetto Andrea Manzoni Francesco Braghin AI4CE 22 1 0 09 Sep 2024
On latent dynamics learning in nonlinear reduced order modeling N. Farenga S. Fresca Simone Brivio Andrea Manzoni AI4CE 34 1 0 27 Aug 2024
Data-driven identification of latent port-Hamiltonian systems J. Rettberg Jonas Kneifl Julius Herb Patrick Buchfink Jörg Fehr B. Haasdonk PINN 19 2 0 15 Aug 2024
Aero-Nef: Neural Fields for Rapid Aircraft Aerodynamics Simulations Giovanni Catalani Siddhant Agarwal Xavier Bertrand Frédéric Tost Michaël Bauerheim Joseph Morlier AI4CE 41 4 0 29 Jul 2024
Sparsifying dimensionality reduction of PDE solution data with Bregman learning T. J. Heeringa Christoph Brune Mengwu Guo 31 0 0 18 Jun 2024
A Low Rank Neural Representation of Entropy Solutions Donsub Rim Gerrit Welper 14 1 0 09 Jun 2024
GFN: A graph feedforward network for resolution-invariant reduced operator learning in multifidelity applications Oisín M. Morrison F. Pichi J. Hesthaven AI4CE 31 1 0 05 Jun 2024
Neural empirical interpolation method for nonlinear model reduction Max Hirsch F. Pichi J. Hesthaven 32 1 0 05 Jun 2024
Recurrent Deep Kernel Learning of Dynamical Systems N. Botteghi Paolo Motta Andrea Manzoni P. Zunino Mengwu Guo 23 1 0 30 May 2024
PTPI-DL-ROMs: pre-trained physics-informed deep learning-based reduced order models for nonlinear parametrized PDEs Simone Brivio S. Fresca Andrea Manzoni AI4CE 38 6 0 14 May 2024
Policy Optimization for PDE Control with a Warm Start Xiangyuan Zhang S. Mowlavi M. Benosman Tamer Basar 23 2 0 01 Mar 2024
Discovering Artificial Viscosity Models for Discontinuous Galerkin Approximation of Conservation Laws using Physics-Informed Machine Learning Matteo Caldana P. Antonietti Luca Dede' AI4CE PINN 27 1 0 26 Feb 2024
Multi-Hierarchical Surrogate Learning for Structural Dynamical Crash Simulations Using Graph Convolutional Neural Networks Jonas Kneifl Jörg Fehr Steven L. Brunton J. Nathan Kutz AI4CE 26 1 0 14 Feb 2024
A practical existence theorem for reduced order models based on convolutional autoencoders N. R. Franco Simone Brugiapaglia AI4CE 29 4 0 01 Feb 2024
Generalization Error Guaranteed Auto-Encoder-Based Nonlinear Model Reduction for Operator Learning Hao Liu Biraj Dahal Rongjie Lai Wenjing Liao AI4CE 26 5 0 19 Jan 2024
Volume-Preserving Transformers for Learning Time Series Data with Structure Benedikt Brantner Guillaume de Romemont Michael Kraus Zeyuan Li AI4TS 11 0 0 18 Dec 2023
Symplectic Autoencoders for Model Reduction of Hamiltonian Systems Benedikt Brantner Michael Kraus 11 6 0 15 Dec 2023
Deciphering and integrating invariants for neural operator learning with various physical mechanisms Rui Zhang Qi Meng Zhi-Ming Ma AI4CE 26 7 0 24 Nov 2023
Weak-Form Latent Space Dynamics Identification April Tran Xiaolong He Daniel Messenger Youngsoo Choi David M. Bortz 33 7 0 20 Nov 2023
Efficient machine-learning surrogates for large-scale geological carbon and energy storage T. Kadeethum Stephen J Verzi Hongkyu Yoon AI4CE 14 2 0 11 Oct 2023
Deep Learning in Deterministic Computational Mechanics L. Herrmann Stefan Kollmannsberger AI4CE PINN 43 0 0 27 Sep 2023
Latent assimilation with implicit neural representations for unknown dynamics Zhuoyuan Li Bin Dong Pingwen Zhang AI4CE 22 3 0 18 Sep 2023
Interpretable learning of effective dynamics for multiscale systems Emmanuel Menier Sebastian Kaltenbach Mouadh Yagoubi Marc Schoenauer P. Koumoutsakos AI4CE 28 6 0 11 Sep 2023
Multi-fidelity reduced-order surrogate modeling Paolo Conti Mengwu Guo Andrea Manzoni A. Frangi Steven L. Brunton N. Kutz AI4CE 26 23 0 01 Sep 2023
Optimal Transport-inspired Deep Learning Framework for Slow-Decaying Kolmogorov n-width Problems: Exploiting Sinkhorn Loss and Wasserstein Kernel M. Khamlich F. Pichi G. Rozza 21 4 0 26 Aug 2023
Learning the solution operator of two-dimensional incompressible Navier-Stokes equations using physics-aware convolutional neural networks Viktor Grimm Alexander Heinlein A. Klawonn AI4CE 19 4 0 04 Aug 2023
Branched Latent Neural Maps M. Salvador Alison Lesley Marsden 30 4 0 04 Aug 2023
Deep Learning-based surrogate models for parametrized PDEs: handling geometric variability through graph neural networks N. R. Franco S. Fresca Filippo Tombari Andrea Manzoni AI4CE 24 16 0 03 Aug 2023
Learning Nonlinear Projections for Reduced-Order Modeling of Dynamical Systems using Constrained Autoencoders Samuel E. Otto G. Macchio C. Rowley AI4CE 16 20 0 28 Jul 2023
Active-Learning-Driven Surrogate Modeling for Efficient Simulation of Parametric Nonlinear Systems Harshit Kapadia Lihong Feng P. Benner 11 9 0 09 Jun 2023
Generative Adversarial Reduced Order Modelling Dario Coscia N. Demo G. Rozza GAN AI4CE 34 5 0 25 May 2023
Symplectic model reduction of Hamiltonian systems using data-driven quadratic manifolds Harsh Sharma Hongliang Mu Patrick Buchfink R. Geelen Silke Glas Boris Kramer 16 28 0 24 May 2023
A graph convolutional autoencoder approach to model order reduction for parametrized PDEs F. Pichi B. Moya J. Hesthaven AI4CE 30 52 0 15 May 2023
Latent Dynamics Networks (LDNets): learning the intrinsic dynamics of spatio-temporal processes Francesco Regazzoni S. Pagani M. Salvador Luca Dede' A. Quarteroni AI4CE 38 7 0 28 Apr 2023
A Deep Learning algorithm to accelerate Algebraic Multigrid methods in Finite Element solvers of 3D elliptic PDEs Matteo Caldana P. Antonietti Luca Dede' 8 10 0 21 Apr 2023
Low-dimensional Data-based Surrogate Model of a Continuum-mechanical Musculoskeletal System Based on Non-intrusive Model Order Reduction Jonas Kneifl D. Rosin Oliver Röhrle Jörg Fehr AI4CE 19 13 0 13 Feb 2023
Monte Carlo Neural PDE Solver for Learning PDEs via Probabilistic Representation Rui Zhang Qi Meng Rongchan Zhu Yue Wang Wenlei Shi Shihua Zhang Zhi-Ming Ma Tie-Yan Liu DiffM AI4CE 44 4 0 10 Feb 2023
Deep Learning Methods for Partial Differential Equations and Related Parameter Identification Problems Derick Nganyu Tanyu Jianfeng Ning Tom Freudenberg Nick Heilenkötter A. Rademacher U. Iben Peter Maass AI4CE 18 34 0 06 Dec 2022
Operator inference with roll outs for learning reduced models from scarce and low-quality data W. I. Uy D. Hartmann Benjamin Peherstorfer AI4CE 17 15 0 02 Dec 2022
Reduced order modeling of parametrized systems through autoencoders and SINDy approach: continuation of periodic solutions Paolo Conti G. Gobat S. Fresca Andrea Manzoni A. Frangi AI4CE 20 49 0 13 Nov 2022
FO-PINNs: A First-Order formulation for Physics Informed Neural Networks R. J. Gladstone M. A. Nabian N. Sukumar Ankit Srivastava Hadi Meidani PINN AI4CE 19 0 0 25 Oct 2022
Multi-fidelity surrogate modeling using long short-term memory networks Paolo Conti Mengwu Guo Andrea Manzoni J. Hesthaven AI4CE 33 48 0 05 Aug 2022
$$\textit{FastSVD-ML-ROM}$: A Reduced-Order Modeling Framework based on Machine Learning for Real-Time Applications$ $\textit{FastSVD-ML-ROM}$ : A Reduced-Order Modeling Framework based on Machine Learning for Real-Time Applications G. Drakoulas T. Gortsas G. Bourantas V. Burganos D. Polyzos AI4CE 11 15 0 24 Jul 2022
AI-enhanced iterative solvers for accelerating the solution of large scale parametrized systems Stefanos Nikolopoulos I. Kalogeris V. Papadopoulos G. Stavroulakis 16 11 0 06 Jul 2022
Virtual twins of nonlinear vibrating multiphysics microstructures: physics-based versus deep learning-based approaches G. Gobat S. Fresca Andrea Manzoni A. Frangi AI4CE 8 8 0 12 May 2022