Forecasting of nonlinear dynamics based on symbolic invariance
From MaRDI portal
Publication:2701225
DOI10.1016/j.cpc.2022.108382OpenAlexW4224437508MaRDI QIDQ2701225
Publication date: 28 April 2023
Published in: Computer Physics Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cpc.2022.108382
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Discovering governing equations from data by sparse identification of nonlinear dynamical systems
- A family of embedded Runge-Kutta formulae
- High-dimensional time series prediction using kernel-based koopman mode regression
- Bayesian deep convolutional encoder-decoder networks for surrogate modeling and uncertainty quantification
- Nonlinear dynamics delay times, and embedding windows
- DLGA-PDE: discovery of PDEs with incomplete candidate library via combination of deep learning and genetic algorithm
- DeepMoD: deep learning for model discovery in noisy data
- Variational system identification of the partial differential equations governing the physics of pattern-formation: inference under varying fidelity and noise
- Surrogate modeling for fluid flows based on physics-constrained deep learning without simulation data
- Physics-constrained deep learning for high-dimensional surrogate modeling and uncertainty quantification without labeled data
- Adversarial uncertainty quantification in physics-informed neural networks
- Deep learning of dynamics and signal-noise decomposition with time-stepping constraints
- PDE-Net 2.0: learning PDEs from data with a numeric-symbolic hybrid deep network
- Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations
- An equation for continuous chaos
- Nonlinear System Identification
- The Optimal Hard Threshold for Singular Values is <inline-formula> <tex-math notation="TeX">\(4/\sqrt {3}\) </tex-math></inline-formula>
- A Fast Estimation Method for the Vector Autoregressive Moving Average Model With Exogenous Variables
- 10.1162/15324430152748236
- A Multilinear Singular Value Decomposition
- Ergodic Theory, Dynamic Mode Decomposition, and Computation of Spectral Properties of the Koopman Operator
- Deterministic Nonperiodic Flow
- Robust data-driven discovery of governing physical laws with error bars
- Learning partial differential equations via data discovery and sparse optimization
- On the structure of time-delay embedding in linear models of non-linear dynamical systems
- DeepXDE: A Deep Learning Library for Solving Differential Equations
- Discovery of Nonlinear Multiscale Systems: Sampling Strategies and Embeddings
- Distribution of Residual Autocorrelations in Autoregressive-Integrated Moving Average Time Series Models
- On Information and Sufficiency
- Numerical Methods for Ordinary Differential Equations