Modern Koopman Theory for Dynamical Systems

24 February 2021

Steven L. Brunton

Papers citing "Modern Koopman Theory for Dynamical Systems"

46 / 146 papers shown

Title
Closed-Loop Koopman Operator Approximation Steven Dahdah James Richard Forbes 8 2 0 27 Mar 2023
Leveraging Neural Koopman Operators to Learn Continuous Representations of Dynamical Systems from Scarce Data Anthony Frion Lucas Drumetz M. Dalla Mura Guillaume Tochon Abdeldjalil Aissa El Bey AI4TS AI4CE 11 5 0 13 Mar 2023
Auxiliary Functions as Koopman Observables: Data-Driven Analysis of Dynamical Systems via Polynomial Optimization J. Bramburger Giovanni Fantuzzi 14 10 0 02 Mar 2023
Koopman-based generalization bound: New aspect for full-rank weights Yuka Hashimoto Sho Sonoda Isao Ishikawa Atsushi Nitanda Taiji Suzuki 6 2 0 12 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
Sharp Spectral Rates for Koopman Operator Learning Vladimir Kostic Karim Lounici P. Novelli Massimiliano Pontil 25 20 0 03 Feb 2023
Solving High-Dimensional PDEs with Latent Spectral Models Haixu Wu Tengge Hu Huakun Luo Jianmin Wang Mingsheng Long AI4CE 57 37 0 30 Jan 2023
Koopman neural operator as a mesh-free solver of non-linear partial differential equations Wei Xiong Xiaomeng Huang Ziyang Zhang Ruixuan Deng Pei Sun Yang Tian AI4CE 17 31 0 24 Jan 2023
Koopman Operators for Modeling and Control of Soft Robotics Lu Shi Zhichao Liu Konstantinos Karydis 13 19 0 23 Jan 2023
Graph state-space models Daniele Zambon Andrea Cini L. Livi C. Alippi 23 6 0 04 Jan 2023
KoopmanLab: machine learning for solving complex physics equations Wei Xiong Muyuan Ma Xiaomeng Huang Ziyang Zhang Pei Sun Yang Tian AI4CE 22 13 0 03 Jan 2023
Phase2vec: Dynamical systems embedding with a physics-informed convolutional network Matthew Ricci Noa Moriel Zoe Piran Mor Nitzan AI4CE 24 5 0 07 Dec 2022
Physics-Informed Koopman Network Yuying Liu A. Sholokhov Hassan Mansour S. Nabi AI4CE 23 3 0 17 Nov 2022
Learning dynamical systems: an example from open quantum system dynamics P. Novelli AI4CE 12 0 0 12 Nov 2022
QuACK: Accelerating Gradient-Based Quantum Optimization with Koopman Operator Learning Di Luo Jiayu Shen Rumen Dangovski Marin Soljacic 19 5 0 02 Nov 2022
Learned Lifted Linearization Applied to Unstable Dynamic Systems Enabled by Koopman Direct Encoding Jerry Ng H. Asada 29 2 0 24 Oct 2022
Catch-22s of reservoir computing Yuanzhao Zhang Sean P. Cornelius 21 10 0 18 Oct 2022
Deep Koopman with Control: Spectral Analysis of Soft Robot Dynamics N. Komeno B. Michael Katharina Küchler Edgar Anarossi Takamitsu Matsubara 6 8 0 14 Oct 2022
Koopman Neural Forecaster for Time Series with Temporal Distribution Shifts Rui Wang Yihe Dong Sercan Ö. Arik Rose Yu AI4TS 31 22 0 07 Oct 2022
Learning Bilinear Models of Actuated Koopman Generators from Partially-Observed Trajectories Samuel E. Otto Sebastian Peitz C. Rowley 29 19 0 20 Sep 2022
Koopman-theoretic Approach for Identification of Exogenous Anomalies in Nonstationary Time-series Data Alex Troy Mallen Christoph Keller J. Nathan Kutz AI4TS 16 0 0 18 Sep 2022
The mpEDMD Algorithm for Data-Driven Computations of Measure-Preserving Dynamical Systems Matthew J. Colbrook 28 34 0 06 Sep 2022
Ensemble forecasts in reproducing kernel Hilbert space family Benjamin Dufée Berenger Hug É. Mémin G. Tissot 16 1 0 29 Jul 2022
Reweighted Manifold Learning of Collective Variables from Enhanced Sampling Simulations J. Rydzewski Ming Chen Tushar K. Ghosh O. Valsson 11 15 0 29 Jul 2022
Learning Dynamical Systems via Koopman Operator Regression in Reproducing Kernel Hilbert Spaces Vladimir Kostic P. Novelli Andreas Maurer C. Ciliberto Lorenzo Rosasco Massimiliano Pontil 14 60 0 27 May 2022
Residual Dynamic Mode Decomposition: Robust and verified Koopmanism Matthew J. Colbrook Lorna J. Ayton Máté Szőke 27 58 0 19 May 2022
Swarm Modelling with Dynamic Mode Decomposition Emma Hansen Steven L. Brunton Zhuoyuan Song 19 8 0 08 Apr 2022
Koopman Methods for Estimation of Animal Motions over Unknown Submanifolds Nathan Powell Bowei Liu Jia Guo Sai Tej Parachuri A. Kurdila 13 0 0 10 Mar 2022
CD-ROM: Complemented Deep-Reduced Order Model Emmanuel Menier M. Bucci Mouadh Yagoubi L. Mathelin Marc Schoenauer 14 7 0 22 Feb 2022
Deep Koopman Operator with Control for Nonlinear Systems Hao-bin Shi M. Meng 4 74 0 16 Feb 2022
Rigorous data-driven computation of spectral properties of Koopman operators for dynamical systems Matthew J. Colbrook Alex Townsend 18 67 0 29 Nov 2021
Learning Physical Concepts in Cyber-Physical Systems: A Case Study Henrik S. Steude Alexander Windmann Oliver Niggemann AI4CE 8 0 0 28 Nov 2021
PySINDy: A comprehensive Python package for robust sparse system identification A. Kaptanoglu Brian M. de Silva Urban Fasel Kadierdan Kaheman Andy J. Goldschmidt ... Zachary G. Nicolaou Kathleen P. Champion Jean-Christophe Loiseau J. Nathan Kutz Steven L. Brunton AI4CE 20 142 0 12 Nov 2021
Koopman Q-learning: Offline Reinforcement Learning via Symmetries of Dynamics Matthias Weissenbacher Samarth Sinha Animesh Garg Yoshinobu Kawahara OffRL 14 20 0 02 Nov 2021
Deeptime: a Python library for machine learning dynamical models from time series data Moritz Hoffmann Martin K. Scherer Tim Hempel Andreas Mardt Brian M. de Silva ... Stefan Klus Hao Wu N. Kutz Steven L. Brunton Frank Noé AI4CE 26 100 0 28 Oct 2021
Deep Identification of Nonlinear Systems in Koopman Form Lucian-Cristian Iacob G. Beintema Maarten Schoukens R. Tóth 8 16 0 06 Oct 2021
Supervised DKRC with Images for Offline System Identification Alexander Krolicki P. Lavertu 14 1 0 06 Sep 2021
A purely data-driven framework for prediction, optimization, and control of networked processes: application to networked SIS epidemic model A. Tavasoli T. Henry Heman Shakeri 34 3 0 01 Aug 2021
Discovering Sparse Interpretable Dynamics from Partial Observations Peter Y. Lu Joan Ariño Bernad Marin Soljacic AI4CE 11 24 0 22 Jul 2021
Deep Probabilistic Koopman: Long-term time-series forecasting under periodic uncertainties Alex Troy Mallen Henning Lange J. Nathan Kutz AI4TS 17 7 0 10 Jun 2021
The kernel perspective on dynamic mode decomposition Efrain Gonzalez Moad Abudia M. Jury R. Kamalapurkar Joel A. Rosenfeld 14 7 0 31 May 2021
Deep Learning of Conjugate Mappings J. Bramburger S. Patterson J. Nathan Kutz 13 15 0 01 Apr 2021
An Operator Theoretic Approach for Analyzing Sequence Neural Networks Ilana D Naiman Omri Azencot 11 10 0 15 Feb 2021
Transformers for Modeling Physical Systems N. Geneva N. Zabaras AI4CE 8 138 0 04 Oct 2020
Time-lagged autoencoders: Deep learning of slow collective variables for molecular kinetics C. Wehmeyer Frank Noé AI4CE BDL 109 355 0 30 Oct 2017
Variational Koopman models: slow collective variables and molecular kinetics from short off-equilibrium simulations Hao Wu Feliks Nuske Fabian Paul Stefan Klus P. Koltai Frank Noé 99 126 0 20 Oct 2016