Discovering Governing Equations from Partial Measurements with Deep Delay Autoencoders

13 January 2022

Steven L. Brunton

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

40 / 40 papers shown

Title
SODAs: Sparse Optimization for the Discovery of Differential and Algebraic Equations Manu Jayadharan Christina Catlett Arthur N. Montanari Niall M. Mangan AI4CE 40 0 0 08 Mar 2025
Automated Global Analysis of Experimental Dynamics through Low-Dimensional Linear Embeddings Samuel A. Moore B. Mann Boyuan Chen AI4CE 19 1 0 01 Nov 2024
Learning Macroscopic Dynamics from Partial Microscopic Observations Mengyi Chen Qianxiao Li AI4CE 31 0 0 31 Oct 2024
Measure-Theoretic Time-Delay Embedding Jonah Botvinick-Greenhouse Maria Oprea R. Maulik Yunan Yang 18 2 0 13 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
VENI, VINDy, VICI: a variational reduced-order modeling framework with uncertainty quantification Paolo Conti Jonas Kneifl Andrea Manzoni A. Frangi Jörg Fehr Steven L. Brunton J. Nathan Kutz 43 6 0 31 May 2024
Recurrent Deep Kernel Learning of Dynamical Systems N. Botteghi Paolo Motta Andrea Manzoni P. Zunino Mengwu Guo 13 1 0 30 May 2024
Shallow Recurrent Decoder for Reduced Order Modeling of Plasma Dynamics J. Nathan Kutz M. Reza Farbod Faraji A. Knoll AI4CE 21 9 0 20 May 2024
Learning Governing Equations of Unobserved States in Dynamical Systems Gevik Grigorian Sandip V. George S. Arridge OOD 19 0 0 29 Apr 2024
SINDy-RL: Interpretable and Efficient Model-Based Reinforcement Learning Nicholas Zolman Urban Fasel J. Nathan Kutz Steven L. Brunton AI4CE 30 11 0 14 Mar 2024
SINDy vs Hard Nonlinearities and Hidden Dynamics: a Benchmarking Study Aurelio Raffa Ugolini Valentina Breschi Andrea Manzoni M. Tanelli 22 2 0 01 Mar 2024
Modeling Spatio-temporal Dynamical Systems with Neural Discrete Learning and Levels-of-Experts Kun Wang Hao Wu Guibin Zhang Junfeng Fang Yuxuan Liang Yuankai Wu Roger Zimmermann Yang Wang 19 8 0 06 Feb 2024
Sparse identification of nonlinear dynamics in the presence of library and system uncertainty Andrew O'Brien 13 0 0 23 Jan 2024
Data Assimilation in Chaotic Systems Using Deep Reinforcement Learning Mohamad Abed El Rahman Hammoud Naila Raboudi E. Titi Omar Knio Ibrahim Hoteit AI4CE 25 2 0 01 Jan 2024
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 41 15 0 21 Dec 2023
Inferring Inference Rajkumar Vasudeva Raju Zhe Li Scott W. Linderman Xaq Pitkow 15 1 0 04 Oct 2023
Multi-fidelity reduced-order surrogate modeling Paolo Conti Mengwu Guo Andrea Manzoni A. Frangi Steven L. Brunton N. Kutz AI4CE 16 23 0 01 Sep 2023
Predicting Ordinary Differential Equations with Transformers Soren Becker M. Klein Alexander Neitz Giambattista Parascandolo Niki Kilbertus 22 14 0 24 Jul 2023
Autoencoding for the 'Good Dictionary' of eigen pairs of the Koopman Operator Neranjaka Jayarathne Erik Bollt 8 0 0 08 Jun 2023
Generalized Teacher Forcing for Learning Chaotic Dynamics Florian Hess Zahra Monfared Manuela Brenner Daniel Durstewitz AI4CE 14 30 0 07 Jun 2023
Simultaneous identification of models and parameters of scientific simulators Cornelius Schroder Jakob H. Macke 27 4 0 24 May 2023
On the effectiveness of neural priors in modeling dynamical systems Sameera Ramasinghe Hemanth Saratchandran Violetta Shevchenko Simon Lucey 24 2 0 10 Mar 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
Benchmarking sparse system identification with low-dimensional chaos A. Kaptanoglu Lanyue Zhang Zachary G. Nicolaou Urban Fasel Steven L. Brunton 32 20 0 04 Feb 2023
Recurrences reveal shared causal drivers of complex time series W. Gilpin CML AI4TS 27 6 0 31 Jan 2023
Convergence of uncertainty estimates in Ensemble and Bayesian sparse model discovery Liyao (Mars) Gao Urban Fasel Steven L. Brunton J. Nathan Kutz 9 12 0 30 Jan 2023
Expressive architectures enhance interpretability of dynamics-based neural population models Andrew R. Sedler Chris VerSteeg C. Pandarinath 27 10 0 07 Dec 2022
Bayesian autoencoders for data-driven discovery of coordinates, governing equations and fundamental constants Liyao (Mars) Gao J. Nathan Kutz AI4CE 16 20 0 19 Nov 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 15 49 0 13 Nov 2022
Borch: A Deep Universal Probabilistic Programming Language Lewis Belcher Johan Gudmundsson Michael Green BDL AI4CE UQCV 11 0 0 13 Sep 2022
Tractable Dendritic RNNs for Reconstructing Nonlinear Dynamical Systems Manuela Brenner Florian Hess Jonas M. Mikhaeil Leonard Bereska Zahra Monfared Po-Chen Kuo Daniel Durstewitz AI4CE 35 29 0 06 Jul 2022
Data-driven synchronization-avoiding algorithms in the explicit distributed structural analysis of soft tissue G. Tong Daniele E. Schiavazzi 16 3 0 05 Jul 2022
Recognition Models to Learn Dynamics from Partial Observations with Neural ODEs Mona Buisson-Fenet V. Morgenthaler Sebastian Trimpe F. D. Meglio 30 6 0 25 May 2022
Deep Learning of Chaotic Systems from Partially-Observed Data V. Churchill D. Xiu 32 12 0 12 May 2022
Discrepancy Modeling Framework: Learning missing physics, modeling systematic residuals, and disambiguating between deterministic and random effects Megan R. Ebers K. Steele J. Nathan Kutz 23 15 0 10 Mar 2022
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 PINN AI4TS AI4CE 11 10 0 11 Feb 2022
Dimensionally Consistent Learning with Buckingham Pi Joseph Bakarji Jared L. Callaham Steven L. Brunton N. Kutz 28 38 0 09 Feb 2022
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 23 25 0 13 Jun 2021
Time-lagged autoencoders: Deep learning of slow collective variables for molecular kinetics C. Wehmeyer Frank Noé AI4CE BDL 109 355 0 30 Oct 2017