System identification using particle filters
A.k.a. parameter estimation in data assimilation
July 25, 2014 — May 4, 2022
Bayes
Monte Carlo
probabilistic algorithms
probability
sciml
signal processing
state space models
statistics
time series
Particle filters + system idenfitication.
A placeholder.
1 State augmentation
The classic; just include the parameter vector in the state vector and give it a “small” magnitude random evolution. (But how small?)
2 Via MCMC
a.k.a. particle MCMC. See Frei and Künsch (2012). Kantas et al. (2015) and Fearnhead and Künsch (2018) introduce more.
3 References
Evensen. 2009. Data Assimilation - The Ensemble Kalman Filter.
Fearnhead, and Künsch. 2018. “Particle Filters and Data Assimilation.” Annual Review of Statistics and Its Application.
Frei, and Künsch. 2012. “Sequential State and Observation Noise Covariance Estimation Using Combined Ensemble Kalman and Particle Filters.” Monthly Weather Review.
Kantas, Doucet, Singh, et al. 2015. “On Particle Methods for Parameter Estimation in State-Space Models.” Statistical Science.
Künsch. 2013. “Particle Filters.” Bernoulli.