A guide to using shadowing filters for forecasting and state estimation

DOI10.1016/j.physd.2009.04.008zbMath1167.37323OpenAlexW2077615108MaRDI QIDQ833200

Thomas Stemler, Kevin Judd

Publication date: 12 August 2009

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2009.04.008

zbMATH Keywords

nonlinear systemsstate estimationforecastingindistinguishable statesperfect model scenarioshadowing filter

Mathematics Subject Classification ID

Filtering in stochastic control theory (93E11) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50)

Related Items

A guide to using shadowing filters for forecasting and state estimation, Shadowing-Based Data Assimilation Method for Partially Observed Models, Statistical inference for dynamical systems: a review, State Estimation and Forecasting of the Ski-Slope Model Using an Improved Shadowing Filter

Uses Software

• TAMC
• TAF

Cites Work

• Unnamed Item
• Unnamed Item
• A guide to using shadowing filters for forecasting and state estimation
• Automatic differentiation: techniques and applications
• Nonlinear state estimation, indistinguishable states, and the extended Kalman filter
• Gradient free descent: Shadowing, and state estimation using limited derivative information
• Indistinguishable states. II: The imperfect model scenario
• Forecasting with imperfect models, dynamically constrained inverse problems, and gradient descent algorithms
• Recipes for adjoint code construction
• Likelihood and Bayesian Prediction of Chaotic Systems
• Deterministic Nonperiodic Flow
• Indistinguishable states. I: Pefect model scenario.