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2004.04653
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Structure-preserving neural networks
Journal of Computational Physics (JCP), 2020
9 April 2020
Quercus Hernandez
Alberto Badías
D. González
Francisco Chinesta
Elías Cueto
PINN
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Papers citing
"Structure-preserving neural networks"
37 / 37 papers shown
Application of Reduced-Order Models for Temporal Multiscale Representations in the Prediction of Dynamical Systems
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Jad Mounayer
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Francisco Chinesta
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142
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0
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Physics-informed sensor coverage through structure preserving machine learning
Benjamin D. Shaffer
Brooks Kinch
Joseph Klobusicky
M. Ani Hsieh
Nathaniel Trask
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197
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0
12 Sep 2025
Augmented Structure Preserving Neural Networks for cell biomechanics
Juan Olalla-Pombo
Alberto Badías
Miguel Ángel Sanz-Gómez
José María Benítez
Francisco Javier Montáns
111
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0
05 Sep 2025
Data-driven particle dynamics: Structure-preserving coarse-graining for emergent behavior in non-equilibrium systems
Quercus Hernandez
Max Win
Thomas C. O'Connor
Paulo E. Arratia
Nathaniel Trask
AI4CE
261
2
0
18 Aug 2025
Meta-learning Structure-Preserving Dynamics
Cheng Jing
Uvini Balasuriya Mudiyanselage
Woojin Cho
Minju Jo
A. Gruber
Kookjin Lee
AI4CE
161
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0
15 Aug 2025
Enhancing material behavior discovery using embedding-oriented Physically-Guided Neural Networks with Internal Variables
Rubén Muñoz-Sierra
Manuel Doblaré
J. Ayensa-Jiménez
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150
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0
01 Aug 2025
Rapid training of Hamiltonian graph networks using random features
Atamert Rahma
Chinmay Datar
Ana Cukarska
Felix Dietrich
AI4CE
311
0
0
06 Jun 2025
SPIEDiff: robust learning of long-time macroscopic dynamics from short-time particle simulations with quantified epistemic uncertainty
Zequn He
Celia Reina
DiffM
AI4CE
300
0
0
16 May 2025
Stable Port-Hamiltonian Neural Networks
Fabian J. Roth
Dominik K. Klein
Maximilian Kannapinn
Jan Peters
Oliver Weeger
550
11
0
04 Feb 2025
Efficiently Parameterized Neural Metriplectic Systems
International Conference on Learning Representations (ICLR), 2024
Anthony Gruber
Kookjin Lee
Haksoo Lim
Noseong Park
Nathaniel Trask
339
14
0
28 Jan 2025
Structure-Preserving Operator Learning
Nacime Bouziani
Nicolas Boullé
244
5
0
01 Oct 2024
Space-Time Continuous PDE Forecasting using Equivariant Neural Fields
David M. Knigge
David R. Wessels
Riccardo Valperga
Samuele Papa
Jan-Jakob Sonke
E. Gavves
Erik J. Bekkers
AI4CE
237
16
0
10 Jun 2024
Graph neural networks informed locally by thermodynamics
Alicia Tierz
Ic´ıar Alfaro
David González
Francisco Chinesta
Elías Cueto
AI4CE
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441
0
0
21 May 2024
PTPI-DL-ROMs: pre-trained physics-informed deep learning-based reduced order models for nonlinear parametrized PDEs
Computer Methods in Applied Mechanics and Engineering (CMAME), 2024
Simone Brivio
S. Fresca
Andrea Manzoni
AI4CE
374
13
0
14 May 2024
A comparison of Single- and Double-generator formalisms for Thermodynamics-Informed Neural Networks
Pau Urdeitx
Ic´ıar Alfaro
David González
Francisco Chinesta
Elías Cueto
AI4CE
239
6
0
01 Apr 2024
A Comprehensive Review of Latent Space Dynamics Identification Algorithms for Intrusive and Non-Intrusive Reduced-Order-Modeling
Christophe Bonneville
Xiaolong He
April Tran
Jun Sur Richard Park
William D. Fries
...
David M. Bortz
Debojyoti Ghosh
Jiun-Shyan Chen
Jonathan Belof
Youngsoo Choi
AI4CE
339
26
0
16 Mar 2024
tLaSDI: Thermodynamics-informed latent space dynamics identification
Computer Methods in Applied Mechanics and Engineering (CMAME), 2024
Jun Sur Richard Park
Siu Wun Cheung
Youngsoo Choi
Yeonjong Shin
AI4CE
450
25
0
09 Mar 2024
Thermodynamics-informed super-resolution of scarce temporal dynamics data
Carlos Bermejo-Barbanoj
B. Moya
Alberto Badías
Francisco Chinesta
Elías Cueto
AI4CE
282
9
0
27 Feb 2024
Predicting and explaining nonlinear material response using deep Physically Guided Neural Networks with Internal Variables
Mathematics and mechanics of solids (MMS), 2023
Javier Orera-Echeverria
J. Ayensa-Jiménez
Manuel Doblaré
391
3
0
07 Aug 2023
Reversible and irreversible bracket-based dynamics for deep graph neural networks
Neural Information Processing Systems (NeurIPS), 2023
A. Gruber
Kookjin Lee
N. Trask
AI4CE
323
23
0
24 May 2023
Port-metriplectic neural networks: thermodynamics-informed machine learning of complex physical systems
Computational Mechanics (Comput. Mech.), 2022
Quercus Hernandez
Alberto Badías
Francisco Chinesta
Elías Cueto
PINN
AI4CE
482
20
0
03 Nov 2022
Thermodynamics-informed neural networks for physically realistic mixed reality
Computer Methods in Applied Mechanics and Engineering (CMAME), 2022
Quercus Hernandez
Alberto Badías
Francisco Chinesta
Elías Cueto
PINN
AI4CE
344
27
0
24 Oct 2022
Exact conservation laws for neural network integrators of dynamical systems
Journal of Computational Physics (JCP), 2022
E. Müller
PINN
260
20
0
23 Sep 2022
The mpEDMD Algorithm for Data-Driven Computations of Measure-Preserving Dynamical Systems
SIAM Journal on Numerical Analysis (SINUM), 2022
Matthew J. Colbrook
223
46
0
06 Sep 2022
Thermodynamics of learning physical phenomena
Archives of Computational Methods in Engineering (ACME), 2022
Elías Cueto
Francisco Chinesta
AI4CE
390
29
0
26 Jul 2022
A Thermodynamics-informed Active Learning Approach to Perception and Reasoning about Fluids
Computational Mechanics (Comput. Mech.), 2022
B. Moya
Alberto Badías
D. González
Francisco Chinesta
Elías Cueto
AI4CE
209
21
0
11 Mar 2022
Thermodynamics-informed graph neural networks
IEEE Transactions on Artificial Intelligence (IEEE TAI), 2022
Quercus Hernandez
Alberto Badías
Francisco Chinesta
Elías Cueto
AI4CE
PINN
312
53
0
03 Mar 2022
Neural Networks with Physics-Informed Architectures and Constraints for Dynamical Systems Modeling
Franck Djeumou
Cyrus Neary
Eric Goubault
S. Putot
Ufuk Topcu
PINN
AI4CE
274
97
0
14 Sep 2021
Structure-preserving Sparse Identification of Nonlinear Dynamics for Data-driven Modeling
Kookjin Lee
Nathaniel Trask
P. Stinis
245
38
0
11 Sep 2021
GFINNs: GENERIC Formalism Informed Neural Networks for Deterministic and Stochastic Dynamical Systems
Zhen Zhang
Yeonjong Shin
George Karniadakis
AI4CE
262
72
0
31 Aug 2021
Physics perception in sloshing scenes with guaranteed thermodynamic consistency
B. Moya
Alberto Badías
D. González
Francisco Chinesta
Elías Cueto
324
17
0
24 Jun 2021
Machine learning structure preserving brackets for forecasting irreversible processes
Kookjin Lee
Nathaniel Trask
P. Stinis
AI4CE
317
62
0
23 Jun 2021
Parameterized Neural Ordinary Differential Equations: Applications to Computational Physics Problems
Proceedings of the Royal Society A (Proc. R. Soc. A), 2020
Kookjin Lee
E. Parish
298
89
0
28 Oct 2020
Nonseparable Symplectic Neural Networks
International Conference on Learning Representations (ICLR), 2020
S. Xiong
Yunjin Tong
Xingzhe He
Shuqi Yang
Cheng Yang
Bo Zhu
427
45
0
23 Oct 2020
OnsagerNet: Learning Stable and Interpretable Dynamics using a Generalized Onsager Principle
Physical Review Fluids (Phys. Rev. Fluids), 2020
Haijun Yu
Xinyuan Tian
Weinan E
Qianxiao Li
AI4CE
342
56
0
06 Sep 2020
Deep learning of thermodynamics-aware reduced-order models from data
Quercus Hernandez
Alberto Badías
D. González
Francisco Chinesta
Elías Cueto
PINN
AI4CE
266
93
0
03 Jul 2020
Neural Vortex Method: from Finite Lagrangian Particles to Infinite Dimensional Eulerian Dynamics
S. Xiong
Xingzhe He
Yunjin Tong
Yitong Deng
Bo Zhu
377
11
0
07 Jun 2020
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