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  4. Cited By
Discovering Governing Equations from Partial Measurements with Deep
  Delay Autoencoders

Discovering Governing Equations from Partial Measurements with Deep Delay Autoencoders

Proceedings of the Royal Society A (Proc. R. Soc. A), 2022
13 January 2022
Joseph Bakarji
Kathleen P. Champion
J. Nathan Kutz
Steven L. Brunton
ArXiv (abs)PDFHTMLGithub

Papers citing "Discovering Governing Equations from Partial Measurements with Deep Delay Autoencoders"

43 / 43 papers shown
Learning Physically Consistent Lagrangian Control Models Without Acceleration Measurements
Learning Physically Consistent Lagrangian Control Models Without Acceleration Measurements
Ibrahim Laiche
Mokrane Boudaoud
Patrick Gallinari
Pascal Morin
205
0
0
02 Dec 2025
CHIPS: Efficient CLIP Adaptation via Curvature-aware Hybrid Influence-based Data Selection
CHIPS: Efficient CLIP Adaptation via Curvature-aware Hybrid Influence-based Data Selection
Xinlin Zhuang
Yichen Li
Xiwei Liu
Haolin Yang
Yifan Lu
...
Qinglei Wang
Weiyang Liu
Ying Qian
Jiangming Shi
Imran Razzak
136
1
0
23 Nov 2025
Variational Rank Reduction Autoencoders for Generative
Variational Rank Reduction Autoencoders for Generative
Alicia Tierz
Jad Mounayer
B. Moya
Francisco Chinesta
DRLAI4CE
276
2
0
10 Sep 2025
Automated Manifold Learning for Reduced Order Modeling
Automated Manifold Learning for Reduced Order Modeling
Imran Nasim
Melanie Weber
AI4CE
250
1
0
02 Jun 2025
SODAs: Sparse Optimization for the Discovery of Differential and Algebraic Equations
SODAs: Sparse Optimization for the Discovery of Differential and Algebraic Equations
Manu Jayadharan
Christina Catlett
Arthur N. Montanari
Niall M. Mangan
AI4CE
327
1
0
08 Mar 2025
Automated Global Analysis of Experimental Dynamics through
  Low-Dimensional Linear Embeddings
Automated Global Analysis of Experimental Dynamics through Low-Dimensional Linear Embeddings
Samuel A. Moore
B. Mann
Boyuan Chen
AI4CE
340
4
0
01 Nov 2024
Learning Macroscopic Dynamics from Partial Microscopic Observations
Learning Macroscopic Dynamics from Partial Microscopic ObservationsNeural Information Processing Systems (NeurIPS), 2024
Mengyi Chen
Qianxiao Li
AI4CE
391
2
0
31 Oct 2024
Measure-Theoretic Time-Delay Embedding
Measure-Theoretic Time-Delay Embedding
Jonah Botvinick-Greenhouse
Maria Oprea
R. Maulik
Yunan Yang
368
6
0
13 Sep 2024
On latent dynamics learning in nonlinear reduced order modeling
On latent dynamics learning in nonlinear reduced order modelingNeural Networks (NN), 2024
N. Farenga
S. Fresca
Simone Brivio
Andrea Manzoni
AI4CE
238
13
0
27 Aug 2024
Data-driven identification of latent port-Hamiltonian systems
Data-driven identification of latent port-Hamiltonian systems
J. Rettberg
Jonas Kneifl
Julius Herb
Patrick Buchfink
Jörg Fehr
B. Haasdonk
PINN
409
6
0
15 Aug 2024
VENI, VINDy, VICI: a generative reduced-order modeling framework with uncertainty quantification
VENI, VINDy, VICI: a generative reduced-order modeling framework with uncertainty quantification
Paolo Conti
Jonas Kneifl
Andrea Manzoni
A. Frangi
Jörg Fehr
Steven L. Brunton
J. Nathan Kutz
423
7
0
31 May 2024
Recurrent Deep Kernel Learning of Dynamical Systems
Recurrent Deep Kernel Learning of Dynamical Systems
N. Botteghi
Paolo Motta
Andrea Manzoni
P. Zunino
Mengwu Guo
346
1
0
30 May 2024
Shallow Recurrent Decoder for Reduced Order Modeling of Plasma Dynamics
Shallow Recurrent Decoder for Reduced Order Modeling of Plasma Dynamics
J. Nathan Kutz
M. Reza
Farbod Faraji
A. Knoll
AI4CE
224
15
0
20 May 2024
Learning Governing Equations of Unobserved States in Dynamical Systems
Learning Governing Equations of Unobserved States in Dynamical Systems
Gevik Grigorian
Sandip V. George
S. Arridge
OOD
395
4
0
29 Apr 2024
SINDy-RL: Interpretable and Efficient Model-Based Reinforcement Learning
SINDy-RL: Interpretable and Efficient Model-Based Reinforcement Learning
Nicholas Zolman
Christian Lagemann
Urban Fasel
J. Nathan Kutz
Steven Brunton
AI4CE
410
25
0
14 Mar 2024
SINDy vs Hard Nonlinearities and Hidden Dynamics: a Benchmarking Study
SINDy vs Hard Nonlinearities and Hidden Dynamics: a Benchmarking Study
Aurelio Raffa Ugolini
Valentina Breschi
Andrea Manzoni
M. Tanelli
295
7
0
01 Mar 2024
Modeling Spatio-temporal Dynamical Systems with Neural Discrete Learning
  and Levels-of-Experts
Modeling Spatio-temporal Dynamical Systems with Neural Discrete Learning and Levels-of-ExpertsIEEE Transactions on Knowledge and Data Engineering (TKDE), 2024
Kun Wang
Hao Wu
Guibin Zhang
Cunchun Li
Yuxuan Liang
Yuankai Wu
Roger Zimmermann
Yang Wang
217
18
0
06 Feb 2024
Sparse identification of nonlinear dynamics in the presence of library
  and system uncertainty
Sparse identification of nonlinear dynamics in the presence of library and system uncertainty
Andrew O'Brien
200
1
0
23 Jan 2024
Data Assimilation in Chaotic Systems Using Deep Reinforcement Learning
Data Assimilation in Chaotic Systems Using Deep Reinforcement LearningJournal of Advances in Modeling Earth Systems (JAMES), 2024
Mohamad Abed El Rahman Hammoud
Naila Raboudi
E. Titi
Omar Knio
Ibrahim Hoteit
AI4CE
439
10
0
01 Jan 2024
AI-Lorenz: A physics-data-driven framework for black-box and gray-box
  identification of chaotic systems with symbolic regression
AI-Lorenz: A physics-data-driven framework for black-box and gray-box identification of chaotic systems with symbolic regression
Mario De Florio
Ioannis G. Kevrekidis
George Karniadakis
366
25
0
21 Dec 2023
Inferring Inference
Inferring Inference
Rajkumar Vasudeva Raju
Zhe Li
Scott W. Linderman
Xaq Pitkow
372
2
0
04 Oct 2023
Multi-fidelity reduced-order surrogate modeling
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
354
54
0
01 Sep 2023
Predicting Ordinary Differential Equations with Transformers
Predicting Ordinary Differential Equations with TransformersInternational Conference on Machine Learning (ICML), 2023
Soren Becker
M. Klein
Alexander Neitz
Giambattista Parascandolo
Niki Kilbertus
335
25
0
24 Jul 2023
Autoencoding for the 'Good Dictionary' of eigen pairs of the Koopman
  Operator
Autoencoding for the 'Good Dictionary' of eigen pairs of the Koopman OperatorAIMS Mathematics (AIMS Math), 2023
Neranjaka Jayarathne
Erik Bollt
211
0
0
08 Jun 2023
Generalized Teacher Forcing for Learning Chaotic Dynamics
Generalized Teacher Forcing for Learning Chaotic DynamicsInternational Conference on Machine Learning (ICML), 2023
Florian Hess
Zahra Monfared
Manuela Brenner
Daniel Durstewitz
AI4CE
441
62
0
07 Jun 2023
Simultaneous identification of models and parameters of scientific
  simulators
Simultaneous identification of models and parameters of scientific simulatorsInternational Conference on Machine Learning (ICML), 2023
Cornelius Schroder
Jakob H. Macke
334
10
0
24 May 2023
On the effectiveness of neural priors in modeling dynamical systems
On the effectiveness of neural priors in modeling dynamical systems
Sameera Ramasinghe
Hemanth Saratchandran
Violetta Shevchenko
Simon Lucey
328
4
0
10 Mar 2023
Low-dimensional Data-based Surrogate Model of a Continuum-mechanical
  Musculoskeletal System Based on Non-intrusive Model Order Reduction
Low-dimensional Data-based Surrogate Model of a Continuum-mechanical Musculoskeletal System Based on Non-intrusive Model Order ReductionArchive of applied mechanics (1991) (Arch. Appl. Mech.), 2023
Jonas Kneifl
D. Rosin
Oliver Röhrle
Jörg Fehr
AI4CE
255
19
0
13 Feb 2023
Benchmarking sparse system identification with low-dimensional chaos
Benchmarking sparse system identification with low-dimensional chaosNonlinear dynamics (Nonlinear Dyn.), 2023
A. Kaptanoglu
Lanyue Zhang
Zachary G. Nicolaou
Urban Fasel
Steven L. Brunton
285
45
0
04 Feb 2023
Recurrences reveal shared causal drivers of complex time series
Recurrences reveal shared causal drivers of complex time seriesPhysical Review X (PRX), 2023
W. Gilpin
CMLAI4TS
255
11
0
31 Jan 2023
Convergence of uncertainty estimates in Ensemble and Bayesian sparse
  model discovery
Convergence of uncertainty estimates in Ensemble and Bayesian sparse model discovery
Liyao (Mars) Gao
Urban Fasel
Steven L. Brunton
J. Nathan Kutz
325
23
0
30 Jan 2023
Expressive architectures enhance interpretability of dynamics-based
  neural population models
Expressive architectures enhance interpretability of dynamics-based neural population modelsNeurons, Behavior, Data analysis, and Theory (NBDT), 2022
Andrew R. Sedler
Chris VerSteeg
C. Pandarinath
368
16
0
07 Dec 2022
Bayesian autoencoders for data-driven discovery of coordinates,
  governing equations and fundamental constants
Bayesian autoencoders for data-driven discovery of coordinates, governing equations and fundamental constantsProceedings of the Royal Society A (Proc. R. Soc. A), 2022
Liyao (Mars) Gao
J. Nathan Kutz
AI4CE
217
29
0
19 Nov 2022
Reduced order modeling of parametrized systems through autoencoders and
  SINDy approach: continuation of periodic solutions
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
303
77
0
13 Nov 2022
Borch: A Deep Universal Probabilistic Programming Language
Borch: A Deep Universal Probabilistic Programming Language
Lewis Belcher
Johan Gudmundsson
Michael Green
BDLAI4CEUQCV
199
1
0
13 Sep 2022
Tractable Dendritic RNNs for Reconstructing Nonlinear Dynamical Systems
Tractable Dendritic RNNs for Reconstructing Nonlinear Dynamical SystemsInternational Conference on Machine Learning (ICML), 2022
Manuela Brenner
Florian Hess
Jonas M. Mikhaeil
Leonard Bereska
Zahra Monfared
Po-Chen Kuo
Daniel Durstewitz
AI4CE
512
47
0
06 Jul 2022
Data-driven synchronization-avoiding algorithms in the explicit
  distributed structural analysis of soft tissue
Data-driven synchronization-avoiding algorithms in the explicit distributed structural analysis of soft tissueComputational Mechanics (Comput. Mech.), 2022
G. Tong
Daniele E. Schiavazzi
293
3
0
05 Jul 2022
Recognition Models to Learn Dynamics from Partial Observations with
  Neural ODEs
Recognition Models to Learn Dynamics from Partial Observations with Neural ODEs
Mona Buisson-Fenet
V. Morgenthaler
Sebastian Trimpe
F. D. Meglio
365
6
0
25 May 2022
Deep Learning of Chaotic Systems from Partially-Observed Data
Deep Learning of Chaotic Systems from Partially-Observed DataJournal of Machine Learning for Modeling and Computing (JMLMC), 2022
V. Churchill
D. Xiu
272
17
0
12 May 2022
Discrepancy Modeling Framework: Learning missing physics, modeling
  systematic residuals, and disambiguating between deterministic and random
  effects
Discrepancy Modeling Framework: Learning missing physics, modeling systematic residuals, and disambiguating between deterministic and random effectsSIAM Journal on Applied Dynamical Systems (SIADS), 2022
Megan R. Ebers
K. Steele
J. Nathan Kutz
293
32
0
10 Mar 2022
Bounded nonlinear forecasts of partially observed geophysical systems
  with physics-constrained deep learning
Bounded nonlinear forecasts of partially observed geophysical systems with physics-constrained deep learning
Said Ouala
Steven L. Brunton
A. Pascual
Bertrand Chapron
F. Collard
L. Gaultier
Ronan Fablet
PINNAI4TSAI4CE
457
13
0
11 Feb 2022
Dimensionally Consistent Learning with Buckingham Pi
Dimensionally Consistent Learning with Buckingham PiNature Computational Science (Nat. Comput. Sci.), 2022
Joseph Bakarji
Jared L. Callaham
Steven L. Brunton
N. Kutz
182
65
0
09 Feb 2022
Learning Dissipative Dynamics in Chaotic Systems
Learning Dissipative Dynamics in Chaotic Systems
Zong-Yi Li
Miguel Liu-Schiaffini
Nikola B. Kovachki
Burigede Liu
Kamyar Azizzadenesheli
K. Bhattacharya
Andrew M. Stuart
Anima Anandkumar
AI4CE
478
55
0
13 Jun 2021
1
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