Multistep Neural Networks for Data-driven Discovery of Nonlinear Dynamical Systems

4 January 2018

Papers citing "Multistep Neural Networks for Data-driven Discovery of Nonlinear Dynamical Systems"

50 / 133 papers shown

Title
Geometric Fault-Tolerant Neural Network Tracking Control of Unknown Systems on Matrix Lie Groups Robin Chhabra Farzaneh Abdollahi 41 0 0 07 May 2025
DUE: A Deep Learning Framework and Library for Modeling Unknown Equations Junfeng Chen Kailiang Wu D. Xiu 32 0 0 14 Apr 2025
Integrating Physics-Informed Deep Learning and Numerical Methods for Robust Dynamics Discovery and Parameter Estimation Caitlin Ho Andrea Arnold AI4CE PINN 36 0 0 05 Oct 2024
Physics-Informed Neural Networks and Extensions Maziar Raissi P. Perdikaris Nazanin Ahmadi George Karniadakis PINN AI4CE 46 4 0 29 Aug 2024
Data-driven Effective Modeling of Multiscale Stochastic Dynamical Systems Yuán Chen Dongbin Xiu 34 0 0 27 Aug 2024
Discovering governing equation in structural dynamics from acceleration-only measurements Calvin Alvares Souvik Chakraborty 32 0 0 18 Jul 2024
Zero-Shot Transfer of Neural ODEs Tyler Ingebrand Adam J. Thorpe Ufuk Topcu 39 4 0 14 May 2024
NeuroKoopman Dynamic Causal Discovery Rahmat Adesunkanmi Balaji Sesha Srikanth Pokuri Ratnesh Kumar CML 38 0 0 25 Apr 2024
Out-of-Domain Generalization in Dynamical Systems Reconstruction Niclas Alexander Göring Florian Hess Manuel Brenner Zahra Monfared Daniel Durstewitz AI4CE 43 12 0 28 Feb 2024
Sparse discovery of differential equations based on multi-fidelity Gaussian process Yuhuang Meng Yue Qiu 64 0 0 22 Jan 2024
Port-Hamiltonian Neural ODE Networks on Lie Groups For Robot Dynamics Learning and Control T. Duong Abdullah Altawaitan Jason Stanley Nikolay Atanasov 54 10 0 17 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 49 16 0 21 Dec 2023
Nonlinear System Identification of Swarm of UAVs Using Deep Learning Methods Saman Yazdannik Morteza Tayefi Mojtaba Farrokh 19 0 0 21 Nov 2023
Hierarchical deep learning-based adaptive time-stepping scheme for multiscale simulations Asif Hamid Danish Rafiq S. A. Nahvi M. A. Bazaz AI4CE 47 1 0 10 Nov 2023
Hamiltonian Dynamics Learning from Point Cloud Observations for Nonholonomic Mobile Robot Control Abdullah Altawaitan Jason Stanley Sambaran Ghosal T. Duong Nikolay Atanasov 32 1 0 17 Sep 2023
Flow Map Learning for Unknown Dynamical Systems: Overview, Implementation, and Benchmarks V. Churchill D. Xiu AI4CE 28 10 0 20 Jul 2023
Energy-Dissipative Evolutionary Deep Operator Neural Networks Jiahao Zhang Shiheng Zhang Jie Shen Guang Lin 21 10 0 09 Jun 2023
Learning Stochastic Dynamical System via Flow Map Operator Yuán Chen D. Xiu AI4CE 27 15 0 05 May 2023
MINN: Learning the dynamics of differential-algebraic equations and application to battery modeling Yicun Huang Changfu Zou Yong Li T. Wik PINN 31 10 0 27 Apr 2023
$Splitting physics-informed neural networks for inferring the dynamics of integer- and fractional-order neuron models$ Splitting physics-informed neural networks for inferring the dynamics of integer- and fractional-order neuron models S. Shekarpaz Fanhai Zeng G. Karniadakis PINN 21 5 0 26 Apr 2023
Implementation and (Inverse Modified) Error Analysis for implicitly-templated ODE-nets Aiqing Zhu Tom S. Bertalan Beibei Zhu Yifa Tang Ioannis G. Kevrekidis 29 5 0 31 Mar 2023
MetaPhysiCa: OOD Robustness in Physics-informed Machine Learning S Chandra Mouli M. A. Alam Bruno Ribeiro OOD 29 4 0 06 Mar 2023
Deep-OSG: Deep Learning of Operators in Semigroup Junfeng Chen Kailiang Wu AI4TS 23 6 0 07 Feb 2023
On Approximating the Dynamic Response of Synchronous Generators via Operator Learning: A Step Towards Building Deep Operator-based Power Grid Simulators Christian Moya Guang Lin Tianqiao Zhao Meng Yue 32 8 0 29 Jan 2023
Homotopy-based training of NeuralODEs for accurate dynamics discovery Joon-Hyuk Ko Hankyul Koh Nojun Park W. Jhe 51 9 0 04 Oct 2022
DeepGraphONet: A Deep Graph Operator Network to Learn and Zero-shot Transfer the Dynamic Response of Networked Systems Yixuan Sun Christian Moya Guang Lin Meng Yue GNN 55 9 0 21 Sep 2022
Weak Collocation Regression method: fast reveal hidden stochastic dynamics from high-dimensional aggregate data Liwei Lu Zhijun Zeng Yan Jiang Yi Zhu Pipi Hu 33 4 0 06 Sep 2022
Learning governing physics from output only measurements Tapas Tripura S. Chakraborty 28 1 0 11 Aug 2022
Robust and Safe Autonomous Navigation for Systems with Learned SE(3) Hamiltonian Dynamics Zhichao Li T. Duong Nikolay Atanasov 19 1 0 22 Jul 2022
NExG: Provable and Guided State Space Exploration of Neural Network Control Systems using Sensitivity Approximation Manish Goyal Miheer Dewaskar Parasara Sridhar Duggirala 41 2 0 08 Jul 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 42 30 0 06 Jul 2022
Continual Learning of Dynamical Systems with Competitive Federated Reservoir Computing Leonard Bereska E. Gavves 37 6 0 27 Jun 2022
On Numerical Integration in Neural Ordinary Differential Equations Aiqing Zhu Pengzhan Jin Beibei Zhu Yifa Tang 26 26 0 15 Jun 2022
Learning Fine Scale Dynamics from Coarse Observations via Inner Recurrence V. Churchill D. Xiu AI4CE 24 2 0 03 Jun 2022
Learning Sparse Nonlinear Dynamics via Mixed-Integer Optimization Dimitris Bertsimas Wes Gurnee AI4CE 41 43 0 01 Jun 2022
Neural ODEs with Irregular and Noisy Data P. Goyal P. Benner 34 4 0 19 May 2022
Bayesian Physics-Informed Neural Networks for real-world nonlinear dynamical systems K. Linka Amelie Schäfer Xuhui Meng Zongren Zou George Karniadakis E. Kuhl OOD PINN AI4CE 43 110 0 12 May 2022
Deep Learning of Chaotic Systems from Partially-Observed Data V. Churchill D. Xiu 40 12 0 12 May 2022
VPNets: Volume-preserving neural networks for learning source-free dynamics Aiqing Zhu Beibei Zhu Jiawei Zhang Yifa Tang Jian-Dong Liu 34 3 0 29 Apr 2022
Physical Modeling using Recurrent Neural Networks with Fast Convolutional Layers Julian Parker Sebastian J. Schlecht R. Rabenstein Maximilian Schäfer AI4CE 27 12 0 21 Apr 2022
Stabilized Neural Ordinary Differential Equations for Long-Time Forecasting of Dynamical Systems Alec J. Linot J. Burby Q. Tang Prasanna Balaprakash M. Graham R. Maulik AI4TS 22 74 0 29 Mar 2022
Parameter Inference of Time Series by Delay Embeddings and Learning Differentiable Operators A. Lin Adrian S. Wong R. Martin Stanley J. Osher D. Eckhardt AI4TS 21 2 0 11 Mar 2022
Robust Modeling of Unknown Dynamical Systems via Ensemble Averaged Learning V. Churchill Steve Manns Zhen Chen D. Xiu AI4CE 29 9 0 07 Mar 2022
Learning continuous models for continuous physics Aditi S. Krishnapriyan A. Queiruga N. Benjamin Erichson Michael W. Mahoney AI4CE 32 33 0 17 Feb 2022
Modeling unknown dynamical systems with hidden parameters Xiaohan Fu Weize Mao L. Chang D. Xiu 24 5 0 03 Feb 2022
Physics-guided Learning-based Adaptive Control on the SE(3) Manifold T. Duong Nikolay Atanasov PINN DRL AI4CE 44 0 0 12 Jan 2022
Safe Autonomous Navigation for Systems with Learned SE(3) Hamiltonian Dynamics Zhichao Li T. Duong Nikolay Atanasov 32 2 0 09 Dec 2021
Constructing Neural Network-Based Models for Simulating Dynamical Systems Christian Møldrup Legaard Thomas Schranz G. Schweiger Ján Drgovna Basak Falay C. Gomes Alexandros Iosifidis M. Abkar P. Larsen PINN AI4CE 33 93 0 02 Nov 2021
DeepParticle: learning invariant measure by a deep neural network minimizing Wasserstein distance on data generated from an interacting particle method Zhongjian Wang Jack Xin Zhiwen Zhang 39 15 0 02 Nov 2021
HyperPINN: Learning parameterized differential equations with physics-informed hypernetworks Filipe de Avila Belbute-Peres Yi-fan Chen Fei Sha PINN 18 38 0 28 Oct 2021