Combining machine learning and data assimilation to forecast dynamical systems from noisy partial observations
From MaRDI portal
Publication:6557699
DOI10.1063/5.0066080zbMath1548.37145MaRDI QIDQ6557699
Sebastian Reich, Georg A. Gottwald
Publication date: 18 June 2024
Published in: Chaos (Search for Journal in Brave)
Artificial neural networks and deep learning (68T07) Learning and adaptive systems in artificial intelligence (68T05) Approximation methods and numerical treatment of dynamical systems (37M99)
Cites Work
- Unnamed Item
- Unnamed Item
- Machine-learning construction of a model for a macroscopic fluid variable using the delay-coordinate of a scalar observable
- State space reconstruction in the presence of noise
- Embedology
- Hidden physics models: machine learning of nonlinear partial differential equations
- Embedding and approximation theorems for echo state networks
- Online learning of both state and dynamics using ensemble Kalman filters
- Supervised learning from noisy observations: combining machine-learning techniques with data assimilation
- Kernel-based prediction of non-Markovian time series
- Calibrate, emulate, sample
- Machine learning for prediction with missing dynamics
- Leveraging Bayesian analysis to improve accuracy of approximate models
- Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations
- Independent coordinates for strange attractors from mutual information
- Universal approximation bounds for superpositions of a sigmoidal function
- HOW MANY DELAY COORDINATES DO YOU NEED?
- Real-Time Computing Without Stable States: A New Framework for Neural Computation Based on Perturbations
- Deterministic Nonperiodic Flow
- Nonlinear Time Series Analysis
- Solving high-dimensional partial differential equations using deep learning
- On explaining the surprising success of reservoir computing forecaster of chaos? The universal machine learning dynamical system with contrast to VAR and DMD
- Using data assimilation to train a hybrid forecast system that combines machine-learning and knowledge-based components
- Machine Learning: Deepest Learning as Statistical Data Assimilation Problems
- Uniformly accurate machine learning-based hydrodynamic models for kinetic equations
- Breaking the Curse of Dimensionality with Convex Neural Networks
- On the Equivalence between Kernel Quadrature Rules and Random Feature Expansions
- Data Assimilation
- Approximation by superpositions of a sigmoidal function
Related Items (6)
Asymptotic behavior of the forecast-assimilation process with unstable dynamics ⋮ A Koopman-Takens theorem: linear least squares prediction of nonlinear time series ⋮ Data driven adaptive Gaussian mixture model for solving Fokker-Planck equation ⋮ Data-driven stochastic model for cross-interacting processes with different time scales ⋮ Discovery of interpretable structural model errors by combining Bayesian sparse regression and data assimilation: a chaotic Kuramoto-Sivashinsky test case ⋮ CGNSDE: conditional Gaussian neural stochastic differential equation for modeling complex systems and data assimilation
This page was built for publication: Combining machine learning and data assimilation to forecast dynamical systems from noisy partial observations