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Iterated Posterior Linearization Smoother (IPLS) #1029

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@mrcfon mrcfon commented May 28, 2024

This PR adds the following classes:

  • IPLSKalmanSmoother, iterated posterior linearisation smoother
  • AugmentedGaussianStatePrediction, the state prediction class that can host cross-covariance
  • LinearTransitionModel, a transition model that consumes explicitly specified transition matrix and bias
  • AugmentedKalmanPredictor, predictor that uses the bias vector in LinearTransitionModel
  • AugmentedUnscentedKalmanPredictor that generates the cross-covariance and is able to suppress prediction noise

The Iterated Posterior Linearization Smoother (IPLS) described in [1] performs statistical linear regression (SLR) of the nonlinear transition and measurement models w.r.t. to the current posterior approximation.

A running example can be found here.

[1] Á. F. García-Fernández, L. Svensson and S. Särkkä, "Iterated Posterior Linearization Smoother," in IEEE Transactions on Automatic Control, vol. 62, no. 4, pp. 2056-2063, April 2017, doi: 10.1109/TAC.2016.2592681.

@mrcfon mrcfon requested a review from a team as a code owner May 28, 2024 18:11
@mrcfon mrcfon requested review from nperree-dstl and hpritchett-dstl and removed request for a team May 28, 2024 18:11
@jswright-dstl jswright-dstl self-requested a review June 3, 2024 15:25
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