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Deep learning for universal linear embeddings of nonlinear dynamics

27 December 2017

Bethany Lusch

J. Nathan Kutz

Steven L. Brunton

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Papers citing "Deep learning for universal linear embeddings of nonlinear dynamics"

50 / 411 papers shown

Title
Graph Koopman Autoencoder for Predictive Covert Communication Against UAV Surveillance S. Krishnan Jihong Park Gregory Sherman Benjamin Campbell Jinho Choi 33 2 0 23 Jan 2024
Sparse discovery of differential equations based on multi-fidelity Gaussian process Yuhuang Meng Yue Qiu 143 0 0 22 Jan 2024
Continuous Field Reconstruction from Sparse Observations with Implicit Neural Networks Xihaier Luo Wei Xu Yihui Ren Shinjae Yoo B. Nadiga 85 12 0 21 Jan 2024
Closed-Form Interpretation of Neural Network Classifiers with Symbolic Regression Gradients S. J. Wetzel 105 3 0 10 Jan 2024
Data-driven Nonlinear Model Reduction using Koopman Theory: Integrated Control Form and NMPC Case Study Jan C. Schulze Alexander Mitsos 17 14 0 09 Jan 2024
Consistent Long-Term Forecasting of Ergodic Dynamical Systems Prune Inzerilli Vladimir Kostic Karim Lounici P. Novelli Massimiliano Pontil 89 6 0 20 Dec 2023
Dynamics Harmonic Analysis of Robotic Systems: Application in Data-Driven Koopman Modelling Daniel Felipe Ordoñez Apraez Vladimir Kostic Giulio Turrisi P. Novelli Carlos Mastalli Claudio Semini Massimiliano Pontil 92 3 0 12 Dec 2023
Learning the Causal Structure of Networked Dynamical Systems under Latent Nodes and Structured Noise Augusto Santos Diogo Rente Rui Seabra José M. F. Moura 101 4 0 10 Dec 2023
Deep Learning for Koopman-based Dynamic Movement Primitives Tyler Han Carl Glen Henshaw 79 0 0 06 Dec 2023
Generative learning for nonlinear dynamics William Gilpin AI4CE PINN 123 27 0 07 Nov 2023
Neural Stress Fields for Reduced-order Elastoplasticity and Fracture Zeshun Zong Xuan Li Minchen Li Maurizio M. Chiaramonte Wojciech Matusik E. Grinspun Kevin Carlberg Chenfanfu Jiang Julius Berner AI4CE 126 18 0 26 Oct 2023
Stochastic Latent Transformer: Efficient Modelling of Stochastically Forced Zonal Jets Ira J. S. Shokar R. Kerswell Peter H. Haynes 80 5 0 25 Oct 2023
Course Correcting Koopman Representations Mahan Fathi Clement Gehring Jonathan Pilault David Kanaa Pierre-Luc Bacon Ross Goroshin 80 1 0 23 Oct 2023
Semi-Supervised Learning of Dynamical Systems with Neural Ordinary Differential Equations: A Teacher-Student Model Approach Yu Wang Yuxuan Yin Karthik Somayaji Nanjangud Suryanarayana Ján Drgoňa Malachi Schram M. Halappanavar Frank Liu Peng Li 31 0 0 19 Oct 2023
Mori-Zwanzig latent space Koopman closure for nonlinear autoencoder Priyam Gupta Peter J. Schmid D. Sipp T. Sayadi Georgios Rigas 118 5 0 16 Oct 2023
Learning In-between Imagery Dynamics via Physical Latent Spaces Jihun Han Yoonsang Lee Anne Gelb 69 0 0 14 Oct 2023
Data driven modeling for self-similar dynamics Ruyi Tao Ningning Tao Yizhuang You Jiang Zhang 76 0 0 12 Oct 2023
Enhancing Predictive Capabilities in Data-Driven Dynamical Modeling with Automatic Differentiation: Koopman and Neural ODE Approaches Ricardo Constante-Amores Alec J. Linot Michael D. Graham 76 10 0 10 Oct 2023
Multiple Physics Pretraining for Physical Surrogate Models Michael McCabe Bruno Régaldo-Saint Blancard Liam Parker Ruben Ohana M. Cranmer ... Francois Lanusse Mariel Pettee Tiberiu Teşileanu Kyunghyun Cho Shirley Ho PINN AI4CE 110 56 0 04 Oct 2023
Generative Modeling of Regular and Irregular Time Series Data via Koopman VAEs Ilan Naiman N. Benjamin Erichson Pu Ren Lbnl Michael W. Mahoney ICSI Omri Azencot AI4TS 92 26 0 04 Oct 2023
Stackelberg Game-Theoretic Trajectory Guidance for Multi-Robot Systems with Koopman Operator Yuhan Zhao Quanyan Zhu 76 3 0 28 Sep 2023
Task-Oriented Koopman-Based Control with Contrastive Encoder Xubo Lyu Hanyang Hu Seth Siriya Ye Pu Mo Chen 81 8 0 28 Sep 2023
Deep Learning in Deterministic Computational Mechanics L. Herrmann Stefan Kollmannsberger AI4CE PINN 118 0 0 27 Sep 2023
Deep learning probability flows and entropy production rates in active matter Nicholas M. Boffi Eric Vanden-Eijnden DiffM 56 20 0 22 Sep 2023
Koopman Invertible Autoencoder: Leveraging Forward and Backward Dynamics for Temporal Modeling Kshitij Tayal Arvind Renganathan Rahul Ghosh X. Jia Vipin Kumar SyDa AI4CE 89 5 0 19 Sep 2023
Stochastic Deep Koopman Model for Quality Propagation Analysis in Multistage Manufacturing Systems Zhiyi Chen Harshal Maske Huanyi Shui Devesh Upadhyay M. Hopka Joseph Cohen Xingjian Lai Xun Huan Jun Ni 38 2 0 18 Sep 2023
Interpretable learning of effective dynamics for multiscale systems Emmanuel Menier Sebastian Kaltenbach Mouadh Yagoubi Marc Schoenauer Petros Koumoutsakos AI4CE 79 7 0 11 Sep 2023
Learning noise-induced transitions by multi-scaling reservoir computing Zequn Lin Zhaofan Lu Zengru Di Ying Tang 94 4 0 11 Sep 2023
Data-Driven Model Reduction and Nonlinear Model Predictive Control of an Air Separation Unit by Applied Koopman Theory Jan C. Schulze Danimir T. Doncevic Nils Erwes Alexander Mitsos 13 1 0 11 Sep 2023
Neural Koopman prior for data assimilation Anthony Frion Lucas Drumetz M. Dalla Mura Guillaume Tochon Abdeldjalil Aissa El Bey AI4TS AI4CE 68 5 0 11 Sep 2023
Computationally Efficient Data-Driven Discovery and Linear Representation of Nonlinear Systems For Control Madhur Tiwari George Nehma Bethany Lusch 47 7 0 08 Sep 2023
Benchmarking Autoregressive Conditional Diffusion Models for Turbulent Flow Simulation Georg Kohl Li-Wei Chen Nils Thuerey AI4CE DiffM 107 29 0 04 Sep 2023
Deep Learning for Structure-Preserving Universal Stable Koopman-Inspired Embeddings for Nonlinear Canonical Hamiltonian Dynamics P. Goyal Süleyman Yıldız P. Benner 89 3 0 26 Aug 2023
Easy attention: A simple attention mechanism for temporal predictions with transformers Marcial Sanchis-Agudo Yuning Wang Roger Arnau L. Guastoni Jasmin Lim Karthik Duraisamy Ricardo Vinuesa AI4TS 64 0 0 24 Aug 2023
Reducing Training Demands for 3D Gait Recognition with Deep Koopman Operator Constraints Cole Hill Maurício Pamplona Segundo Sudeep Sarkar CVBM 3DH 122 1 0 14 Aug 2023
Fine-Tune Language Models as Multi-Modal Differential Equation Solvers Liu Yang Siting Liu Stanley J. Osher 39 0 0 09 Aug 2023
End-to-End Reinforcement Learning of Koopman Models for Economic Nonlinear Model Predictive Control Daniel Mayfrank Alexander Mitsos Manuel Dahmen 71 3 0 03 Aug 2023
Data-Driven Identification of Quadratic Representations for Nonlinear Hamiltonian Systems using Weakly Symplectic Liftings Süleyman Yıldız P. Goyal Thomas Bendokat P. Benner 88 10 0 02 Aug 2023
Predicting Ordinary Differential Equations with Transformers Soren Becker M. Klein Alexander Neitz Giambattista Parascandolo Niki Kilbertus 89 17 0 24 Jul 2023
Learning invariant representations of time-homogeneous stochastic dynamical systems Vladimir Kostic P. Novelli Riccardo Grazzi Karim Lounici Massimiliano Pontil 70 8 0 19 Jul 2023
Knowledge-infused Deep Learning Enables Interpretable Landslide Forecasting Zhengjing Ma Gang Mei AI4CE 20 0 0 18 Jul 2023
Data-Driven Optimal Control of Tethered Space Robot Deployment with Learning Based Koopman Operator Ao Jin Fan Zhang Panfeng Huang 72 3 0 15 Jul 2023
Learning Koopman Operators with Control Using Bi-level Optimization Daning Huang Abhinav Pandey Yin Yu Junyi Geng AI4CE 58 3 0 12 Jul 2023
Self-Supervised Learning with Lie Symmetries for Partial Differential Equations Grégoire Mialon Q. Garrido Hannah Lawrence Danyal Rehman Yann LeCun B. Kiani SSL 109 26 0 11 Jul 2023
Koopman operator learning using invertible neural networks Yuhuang Meng Jian-Kai Huang Yue Qiu 53 14 0 30 Jun 2023
Autoregressive with Slack Time Series Model for Forecasting a Partially-Observed Dynamical Time Series Akifumi Okuno Y. Morishita Yoh-ichi Mototake AI4TS 38 0 0 28 Jun 2023
Physics-Informed Machine Learning for Modeling and Control of Dynamical Systems Truong X. Nghiem Ján Drgoňa Colin N. Jones Zoltán Nagy Roland Schwan ... J. Paulson Andrea Carron Melanie Zeilinger Wenceslao Shaw-Cortez D. Vrabie PINN AI4CE 117 31 0 24 Jun 2023
PyKoopman: A Python Package for Data-Driven Approximation of the Koopman Operator Shaowu Pan E. Kaiser Brian M. de Silva J. Nathan Kutz Steven L. Brunton 118 8 0 22 Jun 2023
Efficient Dynamics Modeling in Interactive Environments with Koopman Theory Arnab Kumar Mondal Siba Smarak Panigrahi Sai Rajeswar K. Siddiqi Siamak Ravanbakhsh 85 3 0 20 Jun 2023
Beyond Geometry: Comparing the Temporal Structure of Computation in Neural Circuits with Dynamical Similarity Analysis Mitchell Ostrow Adam J. Eisen L. Kozachkov Ila Fiete 87 29 0 16 Jun 2023