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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
T-SHRED: Symbolic Regression for Regularization and Model Discovery with Transformer Shallow Recurrent Decoders Alexey Yermakov David Zoro Mars Liyao Gao J. Nathan Kutz 25 0 0 18 Jun 2025
SKOLR: Structured Koopman Operator Linear RNN for Time-Series Forecasting Yitian Zhang Liheng Ma Antonios Valkanas Boris N. Oreshkin Mark Coates AI4TS 43 0 0 17 Jun 2025
Nonlinear Model Order Reduction of Dynamical Systems in Process Engineering: Review and Comparison Jan C. Schulze Alexander Mitsos 22 0 0 15 Jun 2025
LETS Forecast: Learning Embedology for Time Series Forecasting Abrar Majeedi Viswanatha Reddy Gajjala Satya Sai Srinath Namburi Gnvv Nada Magdi Elkordi Yin Li AI4TS 32 0 0 06 Jun 2025
Automated Manifold Learning for Reduced Order Modeling Imran Nasim Melanie Weber AI4CE 59 0 0 02 Jun 2025
Synthetic Time Series Forecasting with Transformer Architectures: Extensive Simulation Benchmarks Ali Forootani Mohammad Khosravi AI4TS 17 0 0 26 May 2025
Accelerating Learned Image Compression Through Modeling Neural Training Dynamics Yichi Zhang Zhihao Duan Yuning Huang Fengqing Zhu 237 0 0 23 May 2025
Finding separatrices of dynamical flows with Deep Koopman Eigenfunctions Kabir V. Dabholkar Omri Barak 27 0 0 21 May 2025
Sonnet: Spectral Operator Neural Network for Multivariable Time Series Forecasting Yuxuan Shu Vasileios Lampos AI4TS 62 0 0 21 May 2025
Certified Neural Approximations of Nonlinear Dynamics Frederik Baymler Mathiesen Nikolaus Vertovec Francesco Fabiano Luca Laurenti Alessandro Abate 57 0 0 21 May 2025
KIPPO: Koopman-Inspired Proximal Policy Optimization Andrei Cozma Landon Harris Hairong Qi 42 0 0 20 May 2025
Deep Koopman operator framework for causal discovery in nonlinear dynamical systems Juan Nathaniel Carla Roesch Jatan Buch Derek DeSantis Adam Rupe Kara Lamb Pierre Gentine CML 64 1 0 20 May 2025
True Zero-Shot Inference of Dynamical Systems Preserving Long-Term Statistics Christoph Jürgen Hemmer Daniel Durstewitz AI4TS SyDa AI4CE 297 1 0 19 May 2025
One-Step Offline Distillation of Diffusion-based Models via Koopman Modeling Nimrod Berman Ilan Naiman Moshe Eliasof Hedi Zisling Omri Azencot DiffM OffRL 84 0 0 19 May 2025
LaPON: A Lagrange's-mean-value-theorem-inspired operator network for solving PDEs and its application on NSE Siwen Zhang Xizeng Zhao Zhengzhi Deng Zhaoyuan Huang Gang Tao Nuo Xu Zhouteng Ye 68 0 0 18 May 2025
Mollifier Layers: Enabling Efficient High-Order Derivatives in Inverse PDE Learning Ananyae Kumar Bhartari Vinayak Vinayak Vivek B Shenoy AI4CE 216 0 0 16 May 2025
Compression, Regularity, Randomness and Emergent Structure: Rethinking Physical Complexity in the Data-Driven Era Nima Dehghani AI4CE 110 0 0 12 May 2025
Learning dynamically inspired invariant subspaces for Koopman and transfer operator approximation Gary Froyland Kevin Kühl 90 0 0 08 May 2025
Generative emulation of chaotic dynamics with coherent prior Juan Nathaniel Pierre Gentine AI4TS AI4CE 67 3 0 19 Apr 2025
Safe Navigation in Dynamic Environments Using Data-Driven Koopman Operators and Conformal Prediction Kaier Liang Guang Yang Mingyu Cai C. Vasile 124 1 0 01 Apr 2025
A Low-complexity Structured Neural Network to Realize States of Dynamical Systems Hansaka Aluvihare Levi E. Lingsch Xianqi Li Sirani M. Perera 75 1 0 31 Mar 2025
Interpretable Machine Learning in Physics: A Review Sebastian Johann Wetzel Seungwoong Ha Raban Iten Miriam Klopotek Ziming Liu AI4CE 160 2 0 30 Mar 2025
Generative Latent Neural PDE Solver using Flow Matching Zijie Li Anthony Zhou Amir Barati Farimani DiffM AI4CE 145 2 0 28 Mar 2025
Sample-Efficient Reinforcement Learning of Koopman eNMPC Daniel Mayfrank M. Velioglu Alexander Mitsos Manuel Dahmen OffRL 89 0 0 24 Mar 2025
Augmented Invertible Koopman Autoencoder for long-term time series forecasting Anthony Frion Lucas Drumetz M. Dalla Mura Guillaume Tochon Abdeldjalil Aissa El Bey AI4TS 81 0 0 17 Mar 2025
Federated Koopman-Reservoir Learning for Large-Scale Multivariate Time-Series Anomaly Detection Long Tan Le Tung Nguyen Han Shu Suranga Seneviratne Choong Seon Hong Nguyen Tran 105 0 0 14 Mar 2025
Data-driven identification of nonlinear dynamical systems with LSTM autoencoders and Normalizing Flows Abdolvahhab Rostamijavanani Shanwu Li Yongchao Yang AI4CE 60 0 0 05 Mar 2025
Multi-Step Deep Koopman Network (MDK-Net) for Vehicle Control in Frenet Frame Mohammad Abtahi Mahdis Rabbani Armin Abdolmohammadi S. Nazari 68 3 0 04 Mar 2025
Model-free system identification of surface ships in waves via Hankel dynamic mode decomposition with control Giorgio Palma A. Serani Shawn Aram David W. Wundrow David Drazen Matteo Diez 70 0 0 17 Feb 2025
Ultralow-dimensionality reduction for identifying critical transitions by spatial-temporal PCA Pei Chen Yaofang Suo Rui Liu Luonan Chen 137 0 0 22 Jan 2025
Koopman Learning with Episodic Memory William T. Redman Dean Huang M. Fonoberova Igor Mezić 97 0 0 08 Jan 2025
Kernel Methods for the Approximation of the Eigenfunctions of the Koopman Operator Jonghyeon Lee B. Hamzi Boya Hou H. Owhadi G. Santin Umesh Vaidya 144 1 0 21 Dec 2024
Transformer-based Koopman Autoencoder for Linearizing Fisher's Equation Kanav Singh Rana Nitu Kumari AI4CE 106 0 0 03 Dec 2024
Learning Koopman-based Stability Certificates for Unknown Nonlinear Systems Ruikun Zhou Yiming Meng Zhexuan Zeng Jun Liu 130 0 0 03 Dec 2024
On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Jake Buzhardt C. Ricardo Constante-Amores Michael D. Graham 171 2 0 20 Nov 2024
Automated Global Analysis of Experimental Dynamics through Low-Dimensional Linear Embeddings Samuel A. Moore B. Mann Boyuan Chen AI4CE 90 1 0 01 Nov 2024
Data-driven Modeling of Granular Chains with Modern Koopman Theory Atoosa Parsa James P. Bagrow C. O’Hern Rebecca Kramer-Bottiglio Josh Bongard 99 0 0 01 Nov 2024
Almost-Linear RNNs Yield Highly Interpretable Symbolic Codes in Dynamical Systems Reconstruction Manuel Brenner Christoph Jürgen Hemmer Zahra Monfared Daniel Durstewitz AI4CE 80 4 0 18 Oct 2024
Laplace Transform Based Low-Complexity Learning of Continuous Markov Semigroups Vladimir Kostic Karim Lounici Helene Halconruy Timothée Devergne P. Novelli Massimiliano Pontil 73 0 0 18 Oct 2024
Interpreting Temporal Graph Neural Networks with Koopman Theory Michele Guerra Simone Scardapane F. Bianchi AI4TS AI4CE 52 1 0 17 Oct 2024
Balanced Neural ODEs: nonlinear model order reduction and Koopman operator approximations Julius Aka Johannes Brunnemann Jörg Eiden Arne Speerforck Lars Mikelsons 100 0 0 14 Oct 2024
Imitation Learning with Limited Actions via Diffusion Planners and Deep Koopman Controllers Jianxin Bi Kelvin Lim Kaiqi Chen Yifei Huang Harold Soh 112 1 0 10 Oct 2024
Mamba Neural Operator: Who Wins? Transformers vs. State-Space Models for PDEs Chun-Wun Cheng Jiahao Huang Yi Zhang Guang Yang Carola-Bibiane Schonlieb Angelica I Aviles-Rivero Mamba AI4CE 158 5 0 03 Oct 2024
Deep Koopman-layered Model with Universal Property Based on Toeplitz Matrices Yuka Hashimoto Tomoharu Iwata 87 0 0 03 Oct 2024
Deep Learning Alternatives of the Kolmogorov Superposition Theorem Leonardo Ferreira Guilhoto P. Perdikaris 113 7 0 02 Oct 2024
Stability analysis of chaotic systems in latent spaces Elise Özalp Luca Magri 89 3 0 01 Oct 2024
Frequency Adaptive Normalization For Non-stationary Time Series Forecasting Weiwei Ye Songgaojun Deng Qiaosha Zou Ning Gui AI4TS 68 11 0 30 Sep 2024
KODA: A Data-Driven Recursive Model for Time Series Forecasting and Data Assimilation using Koopman Operators Ashutosh Singh Ashish Singh Tales Imbiriba Deniz Erdogmus R. Borsoi AI4TS AI4CE 70 1 0 29 Sep 2024
Predictive Covert Communication Against Multi-UAV Surveillance Using Graph Koopman Autoencoder S. Krishnan Jihong Park Gregory Sherman Benjamin Campbell Jinho Choi 62 0 0 25 Sep 2024
Identification For Control Based on Neural Networks: Approximately Linearizable Models Maxime Thieffry Alexandre Hache Mohamed Yagoubi Philippe Chevrel 43 0 0 24 Sep 2024