idaholab / raven

RAVEN is a flexible and multi-purpose probabilistic risk analysis, validation and uncertainty quantification, parameter optimization, model reduction and data knowledge-discovering framework.
https://raven.inl.gov/
Apache License 2.0
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[TASK] Markov-switching autoregressive models #2160

Closed j-bryan closed 1 year ago

j-bryan commented 1 year ago

Issue Description

Is your feature request related to a problem? Please describe. An approach of segmentation and clustering of the data is common when fitting time series models with the TSA module, but this approach often results in having too few data to accurately estimate model parameters. Also, changes in the model occur only as one segment ends and another begins, which is inflexible and does not reflect the dynamic nature of regime change in some applications.

Describe the solution you'd like Regime-switching models like Markov-switching autoregressive models (MSAR) address the above concerns by conditioning the model parameters on the state of a hidden Markov model. MSAR models switch between regimes probabilistically. In effect, inferring the Markov states and each state's model parameters is akin to the current clustering approach but does not require segmentation, adding flexibility. The MSAR model could be added to the TSA module and used in place of the existing ARMA model.

Describe alternatives you've considered Major revisions to the segmentation and clustering in the ROMCollection.


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dylanjm commented 1 year ago

Approved to close via #2161