Modern Koopman Theory for Dynamical Systems

24 February 2021

Steven L. Brunton

Papers citing "Modern Koopman Theory for Dynamical Systems"

50 / 146 papers shown

Title
Compression, Regularity, Randomness and Emergent Structure: Rethinking Physical Complexity in the Data-Driven Era Nima Dehghani AI4CE 24 0 0 12 May 2025
DUE: A Deep Learning Framework and Library for Modeling Unknown Equations Junfeng Chen Kailiang Wu D. Xiu 20 0 0 14 Apr 2025
A Low-complexity Structured Neural Network to Realize States of Dynamical Systems Hansaka Aluvihare Levi E. Lingsch Xianqi Li Sirani M. Perera 29 1 0 31 Mar 2025
Generative Latent Neural PDE Solver using Flow Matching Zijie Li Anthony Y. Zhou Amir Barati Farimani DiffM AI4CE 67 0 0 28 Mar 2025
Data-Driven Contact-Aware Control Method for Real-Time Deformable Tool Manipulation: A Case Study in the Environmental Swabbing Siavash Mahmoudi Amirreza Davar Dongyi Wang 44 0 0 27 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 46 0 0 17 Mar 2025
Learning Nash Equilibrial Hamiltonian for Two-Player Collision-Avoiding Interactions Lei Zhang Siddharth Das Tanner Merry Wenlong Zhang Yi Ren 52 0 0 10 Mar 2025
Understanding the role of autoencoders for stiff dynamical systems using information theory Vijayamanikandan Vijayarangan Harshavardhana A. Uranakara Francisco E. Hernández-Pérez Hong G. Im SyDa AI4CE 42 1 0 08 Mar 2025
Multi-Step Deep Koopman Network (MDK-Net) for Vehicle Control in Frenet Frame Mohammad Abtahi Mahdis Rabbani Armin Abdolmohammadi S. Nazari 24 2 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 28 0 0 17 Feb 2025
Koopman-Equivariant Gaussian Processes Petar Bevanda Max Beier Armin Lederer A. Capone Stefan Sosnowski Sandra Hirche AI4TS 63 1 0 10 Feb 2025
Ultralow-dimensionality reduction for identifying critical transitions by spatial-temporal PCA Pei Chen Yaofang Suo Rui Liu Luonan Chen 60 0 0 22 Jan 2025
Learning Stochastic Nonlinear Dynamics with Embedded Latent Transfer Operators Naichang Ke Ryogo Tanaka Yoshinobu Kawahara 29 0 0 06 Jan 2025
Machine Learning of Slow Collective Variables and Enhanced Sampling via Spatial Techniques Tuğçe Gökdemir Jakub Rydzewski 24 1 0 31 Dec 2024
Latent feedback control of distributed systems in multiple scenarios through deep learning-based reduced order models Matteo Tomasetto Francesco Braghin Andrea Manzoni OffRL AI4CE 70 0 0 13 Dec 2024
Transformer-based Koopman Autoencoder for Linearizing Fisher's Equation Kanav Singh Rana Nitu Kumari AI4CE 59 0 0 03 Dec 2024
Learning Koopman-based Stability Certificates for Unknown Nonlinear Systems Ruikun Zhou Yiming Meng Zhexuan Zeng Jun Liu 75 0 0 03 Dec 2024
Kernel-Based Optimal Control: An Infinitesimal Generator Approach Petar Bevanda Nicolas Hosichen Tobias Wittmann Jan Brüdigam Sandra Hirche Boris Houska 68 0 0 02 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 63 2 0 20 Nov 2024
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
Data-driven Modeling of Granular Chains with Modern Koopman Theory Atoosa Parsa James P. Bagrow C. O’Hern Rebecca Kramer-Bottiglio Josh Bongard 59 0 0 01 Nov 2024
Kernel Operator-Theoretic Bayesian Filter for Nonlinear Dynamical Systems Kan Li José C. Príncipe 24 0 0 31 Oct 2024
CGKN: A Deep Learning Framework for Modeling Complex Dynamical Systems and Efficient Data Assimilation Chuanqi Chen Nan Chen Yinling Zhang Jin-Long Wu AI4CE 30 2 0 26 Oct 2024
Laplace Transform Based Low-Complexity Learning of Continuous Markov Semigroups Vladimir Kostic Karim Lounici Helene Halconruy Timothée Devergne P. Novelli Massimiliano Pontil 26 0 0 18 Oct 2024
Almost-Linear RNNs Yield Highly Interpretable Symbolic Codes in Dynamical Systems Reconstruction Manuel Brenner Christoph Jurgen Hemmer Zahra Monfared Daniel Durstewitz AI4CE 33 0 0 18 Oct 2024
Interpreting Temporal Graph Neural Networks with Koopman Theory Michele Guerra Simone Scardapane F. Bianchi AI4TS AI4CE 23 0 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 23 0 0 14 Oct 2024
Data-driven Feedback Control of Lattice Structures with Localized Actuation and Sensing Dominik Fischer Loi Do Miana Smith Jiří Zemánek 17 0 0 11 Oct 2024
When Graph Neural Networks Meet Dynamic Mode Decomposition Dai Shi Lequan Lin Andi Han Zhiyong Wang Yi Guo Junbin Gao AI4CE 23 0 0 08 Oct 2024
Learning Interpretable Hierarchical Dynamical Systems Models from Time Series Data Manuel Brenner Elias Weber G. Koppe Daniel Durstewitz AI4TS AI4CE 29 2 0 07 Oct 2024
Inferring Kernel $ε$ -Machines: Discovering Structure in Complex Systems Alexandra M. Jurgens Nicolas Brodu CML 13 0 0 01 Oct 2024
Uncertainty Modelling and Robust Observer Synthesis using the Koopman Operator Steven Dahdah James Richard Forbes 32 1 0 01 Oct 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 42 1 0 29 Sep 2024
Analysis of Truncated Singular Value Decomposition for Koopman Operator-Based Lane Change Model Chinnawut Nantabut 20 0 0 27 Sep 2024
Predictive Covert Communication Against Multi-UAV Surveillance Using Graph Koopman Autoencoder S. Krishnan Jihong Park Gregory Sherman Benjamin Campbell Jinho D. Choi 23 0 0 25 Sep 2024
Zero-shot forecasting of chaotic systems Yuanzhao Zhang William Gilpin AI4TS 37 4 0 24 Sep 2024
Cross-Attention Based Influence Model for Manual and Nonmanual Sign Language Analysis Lipisha Chaudhary Fei Xu Ifeoma Nwogu SLR 27 0 0 12 Sep 2024
Real-time optimal control of high-dimensional parametrized systems by deep learning-based reduced order models Matteo Tomasetto Andrea Manzoni Francesco Braghin AI4CE 13 1 0 09 Sep 2024
Koopman AutoEncoder via Singular Value Decomposition for Data-Driven Long-Term Prediction Jinho D. Choi S. Krishnan Jihong Park 15 0 0 21 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
Learning Noise-Robust Stable Koopman Operator for Control with Hankel DMD Shahriar Akbar Sakib Shaowu Pan 27 0 0 13 Aug 2024
Koopman Operators in Robot Learning Lu Shi Masih Haseli Giorgos Mamakoukas Daniel Bruder Ian Abraham Todd D. Murphey Jorge Cortes Konstantinos Karydis AI4CE 25 7 0 08 Aug 2024
A Novel Use of Pseudospectra in Mathematical Biology: Understanding HPA Axis Sensitivity Catherine Drysdale Matthew J. Colbrook 23 1 0 01 Aug 2024
Latent Linear Quadratic Regulator for Robotic Control Tasks Yuan Zhang Shaohui Yang Toshiyuki Ohtsuka Colin Jones Joschka Boedecker 18 0 0 15 Jul 2024
Limits and Powers of Koopman Learning Matthew J. Colbrook Igor Mezić Alexei Stepanenko 34 10 0 08 Jul 2024
KOROL: Learning Visualizable Object Feature with Koopman Operator Rollout for Manipulation Hongyi Chen Abulikemu Abuduweili Aviral Agrawal Yunhai Han H. Ravichandar Changliu Liu Jeffrey Ichnowski 29 5 0 29 Jun 2024
From Pixels to Torques with Linear Feedback Jeong Hun Lee Sam Schoedel Aditya Bhardwaj Zachary Manchester 26 0 0 26 Jun 2024
Physically Analyzable AI-Based Nonlinear Platoon Dynamics Modeling During Traffic Oscillation: A Koopman Approach Kexin Tian Haotian Shi Yang Zhou Sixu Li 30 3 0 20 Jun 2024
Leveraging KANs For Enhanced Deep Koopman Operator Discovery George Nehma Madhur Tiwari 24 10 0 05 Jun 2024
Learning Hamiltonian neural Koopman operator and simultaneously sustaining and discovering conservation law Jingdong Zhang Qunxi Zhu Wei Lin 22 8 0 04 Jun 2024