POD-DL-ROM: enhancing deep learning-based reduced order models for nonlinear parametrized PDEs by proper orthogonal decomposition

Computer Methods in Applied Mechanics and Engineering (CMAME), 2021

28 January 2021

Papers citing "POD-DL-ROM: enhancing deep learning-based reduced order models for nonlinear parametrized PDEs by proper orthogonal decomposition"

50 / 59 papers shown

Title
Time Extrapolation with Graph Convolutional Autoencoder and Tensor Train Decomposition Yuanhong Chen F. Pichi Zhen Gao G. Rozza AI4TS AI4CE 50 0 0 28 Nov 2025
Conditional neural field for spatial dimension reduction of turbulence data: a comparison study Junyi Guo P. Du Xiantao Fan Yahui Li Jian-Xun Wang AI4CE 112 1 0 29 Oct 2025
Constrained Sensing and Reliable State Estimation with Shallow Recurrent Decoders on a TRIGA Mark II Reactor Stefano Riva Carolina Introini J. Nathan Kutz Antonio Cammi AI4CE 77 0 0 14 Oct 2025
Derivative-informed Graph Convolutional Autoencoder with Phase Classification for the Lifshitz-Petrich Model Yanlai Chen Yajie Ji Zhenli Xu 68 0 0 14 Sep 2025
Variational Rank Reduction Autoencoders for Generative Alicia Tierz Jad Mounayer B. Moya Francisco Chinesta DRL AI4CE 208 1 0 10 Sep 2025
Data-Efficient Time-Dependent PDE Surrogates: Graph Neural Simulators vs. Neural Operators Dibyajyoti Nayak Somdatta Goswami AI4CE 186 0 0 07 Sep 2025
Gaussian process surrogate with physical law-corrected prior for multi-coupled PDEs defined on irregular geometry Pucheng Tang Hongqiao Wang Wenzhou Lin Qian Chen Heng Yong AI4CE 92 1 0 01 Sep 2025
Nonlinear Model Order Reduction of Dynamical Systems in Process Engineering: Review and Comparison Jan C. Schulze Alexander Mitsos 183 0 0 15 Jun 2025
Efficient Deconvolution in Populational Inverse Problems Arnaud Vadeboncoeur Mark Girolami Andrew M. Stuart 138 2 0 26 May 2025
S $^2$ GPT-PINNs: Sparse and Small models for PDEs Yajie Ji Yanlai Chen Shawn Koohy 144 0 0 25 May 2025
Interpretable Spatial-Temporal Fusion Transformers: Multi-Output Prediction for Parametric Dynamical Systems with Time-Varying Inputs Shuwen Sun Lihong Feng P. Benner 194 0 0 01 May 2025
Towards scientific machine learning for granular material simulations -- challenges and opportunitiesArchives of Computational Methods in Engineering (ACME), 2025 Marc Fransen Andreas Fürst D. Tunuguntla Daniel N. Wilke Benedikt Alkin ... Takayuki Shuku WaiChing Sun T. Weinhart Dongwei Ye Hongyang Cheng AI4CE 233 2 0 01 Apr 2025
Verification and Validation for Trustworthy Scientific Machine Learning John D. Jakeman Lorena A. Barba J. Martins Thomas O'Leary-Roseberry AI4CE 428 2 0 21 Feb 2025
Slim multi-scale convolutional autoencoder-based reduced-order models for interpretable features of a complex dynamical systemAPL Machine Learning (AML), 2025 P. Teutsch Philipp Pfeffer Mohammad Sharifi Ghazijahani Christian Cierpka J. Schumacher Patrick Mäder AI4CE 171 2 0 06 Jan 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 295 1 0 13 Dec 2024
A physics-driven sensor placement optimization methodology for temperature field reconstructionApplied Thermal Engineering (Appl. Therm. Eng.), 2024 Xu Liu Wen Yao Wei Peng Zhuojia Fu Zixue Xiang Xiaoqian Chen 109 7 0 27 Sep 2024
Real-time optimal control of high-dimensional parametrized systems by deep learning-based reduced order modelsComputer Methods in Applied Mechanics and Engineering (CMAME), 2024 Matteo Tomasetto Andrea Manzoni Francesco Braghin AI4CE 237 6 0 09 Sep 2024
Learning Latent Space Dynamics with Model-Form Uncertainties: A Stochastic Reduced-Order Modeling ApproachComputer Methods in Applied Mechanics and Engineering (CMAME), 2024 Jin Yi Yong Rudy Geelen Johann Guilleminot 262 3 0 30 Aug 2024
On latent dynamics learning in nonlinear reduced order modelingNeural Networks (NN), 2024 N. Farenga S. Fresca Simone Brivio Andrea Manzoni AI4CE 170 8 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 300 4 0 15 Aug 2024
Recurrent Deep Kernel Learning of Dynamical Systems N. Botteghi Paolo Motta Andrea Manzoni P. Zunino Mengwu Guo 181 1 0 30 May 2024
PTPI-DL-ROMs: pre-trained physics-informed deep learning-based reduced order models for nonlinear parametrized PDEsComputer Methods in Applied Mechanics and Engineering (CMAME), 2024 Simone Brivio S. Fresca Andrea Manzoni AI4CE 262 11 0 14 May 2024
Deep polytopic autoencoders for low-dimensional linear parameter-varying approximations and nonlinear feedback design Jan Heiland Yongho Kim Steffen W. R. Werner BDL 178 2 0 26 Mar 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 197 1 0 14 Feb 2024
A practical existence theorem for reduced order models based on convolutional autoencoders N. R. Franco Simone Brugiapaglia AI4CE 264 8 0 01 Feb 2024
Polytopic Autoencoders with Smooth Clustering for Reduced-order Modelling of Flows Jan Heiland Yongho Kim AI4CE 154 6 0 19 Jan 2024
Randomized Sparse Neural Galerkin Schemes for Solving Evolution Equations with Deep NetworksNeural Information Processing Systems (NeurIPS), 2023 Jules Berman Benjamin Peherstorfer 151 26 0 07 Oct 2023
Deep Learning in Deterministic Computational Mechanics L. Herrmann Stefan Kollmannsberger AI4CE PINN 287 1 0 27 Sep 2023
Multi-fidelity reduced-order surrogate modelingProceedings of the Royal Society A (Proc. R. Soc. A), 2023 Paolo Conti Mengwu Guo Andrea Manzoni A. Frangi Steven L. Brunton N. Kutz AI4CE 259 43 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 278 5 0 26 Aug 2023
Branched Latent Neural MapsComputer Methods in Applied Mechanics and Engineering (CMAME), 2023 M. Salvador Alison Lesley Marsden 262 6 0 04 Aug 2023
Deep Learning-based surrogate models for parametrized PDEs: handling geometric variability through graph neural networksChaos (Chaos), 2023 N. R. Franco S. Fresca Filippo Tombari Andrea Manzoni AI4CE 175 30 0 03 Aug 2023
Residual-Based Error Corrector Operator to Enhance Accuracy and Reliability of Neural Operator Surrogates of Nonlinear Variational Boundary-Value ProblemsComputer Methods in Applied Mechanics and Engineering (CMAME), 2023 Prashant K. Jha 228 8 0 21 Jun 2023
Efficient PDE-Constrained optimization under high-dimensional uncertainty using derivative-informed neural operators Dingcheng Luo Thomas O'Leary-Roseberry Peng Chen Omar Ghattas AI4CE 191 19 0 31 May 2023
Symplectic model reduction of Hamiltonian systems using data-driven quadratic manifoldsComputer Methods in Applied Mechanics and Engineering (CMAME), 2023 Harsh Sharma Hongliang Mu Patrick Buchfink R. Geelen Silke Glas Boris Kramer 201 37 0 24 May 2023
A graph convolutional autoencoder approach to model order reduction for parametrized PDEsJournal of Computational Physics (JCP), 2023 F. Pichi B. Moya J. Hesthaven AI4CE 279 75 0 15 May 2023
Adaptive learning of effective dynamics: Adaptive real-time, online modeling for complex systems Ivica Kicic Pantelis R. Vlachas G. Arampatzis Michail Chatzimanolakis Leonidas Guibas Petros Koumoutsakos AI4CE 123 7 0 04 Apr 2023
An Implicit GNN Solver for Poisson-like problemsComputers and Mathematics with Applications (CMA), 2023 Matthieu Nastorg M. Bucci T. Faney J. Gratien Guillaume Charpiat Marc Schoenauer AI4CE 339 8 0 06 Feb 2023
Convolutional Autoencoders, Clustering and POD for Low-dimensional Parametrization of Navier-Stokes EquationsComputers and Mathematics with Applications (CMA), 2023 Yongho Kim Jan Heiland 80 3 0 02 Feb 2023
Physics-informed Reduced-Order Learning from the First Principles for Simulation of Quantum NanostructuresScientific Reports (Sci Rep), 2023 Martin Veresko M. Cheng AI4CE 80 3 0 31 Jan 2023
A two stages Deep Learning Architecture for Model Reduction of Parametric Time-Dependent Problems Isabella Carla Gonnella M. Hess G. Stabile G. Rozza AI4CE 197 2 0 24 Jan 2023
Deep Learning Methods for Partial Differential Equations and Related Parameter Identification ProblemsInverse Problems (IP), 2022 Derick Nganyu Tanyu Jianfeng Ning Tom Freudenberg Nick Heilenkötter A. Rademacher U. Iben Peter Maass AI4CE 251 52 0 06 Dec 2022
Reduced order modeling of parametrized systems through autoencoders and SINDy approach: continuation of periodic solutionsComputer Methods in Applied Mechanics and Engineering (CMAME), 2022 Paolo Conti G. Gobat S. Fresca Andrea Manzoni A. Frangi AI4CE 197 69 0 13 Nov 2022
Residual-based error correction for neural operator accelerated infinite-dimensional Bayesian inverse problemsJournal of Computational Physics (JCP), 2022 Lianghao Cao Thomas O'Leary-Roseberry Prashant K. Jha J. Oden Omar Ghattas 242 33 0 06 Oct 2022
Multi-fidelity surrogate modeling using long short-term memory networksComputer Methods in Applied Mechanics and Engineering (CMAME), 2022 Paolo Conti Mengwu Guo Andrea Manzoni J. Hesthaven AI4CE 177 67 0 05 Aug 2022
Reduced-order modeling for parameterized large-eddy simulations of atmospheric pollutant dispersion Bastien X. Nony M. Rochoux T. Jaravel Didier Lucor 81 14 0 02 Aug 2022
AI-enhanced iterative solvers for accelerating the solution of large scale parametrized systemsInternational Journal for Numerical Methods in Engineering (IJNME), 2022 Stefanos Nikolopoulos I. Kalogeris V. Papadopoulos G. Stavroulakis 469 14 0 06 Jul 2022
Derivative-Informed Neural Operator: An Efficient Framework for High-Dimensional Parametric Derivative LearningJournal of Computational Physics (JCP), 2022 Thomas O'Leary-Roseberry Peng Chen Umberto Villa Omar Ghattas AI4CE 276 53 0 21 Jun 2022
Virtual twins of nonlinear vibrating multiphysics microstructures: physics-based versus deep learning-based approachesItalian National Conference on Sensors (INS), 2022 G. Gobat S. Fresca Andrea Manzoni A. Frangi AI4CE 117 10 0 12 May 2022
Multi-resolution partial differential equations preserved learning framework for spatiotemporal dynamicsCommunications Physics (Commun. Phys.), 2022 Xin-Yang Liu Min Zhu Lu Lu Hao Sun Jian-Xun Wang PINN AI4CE 237 69 0 09 May 2022