# Hidden Markov chains and fields with observations in Riemannian manifolds

@inproceedings{Said2021HiddenMC, title={Hidden Markov chains and fields with observations in Riemannian manifolds}, author={Salem Said and Nicolas Le Bihan and Jonathan H. Manton}, year={2021} }

Hidden Markov chain, or Markov field, models, with observations in a Euclidean space, play a major role across signal and image processing. The present work provides a statistical framework which can be used to extend these models, along with related, popular algorithms (such as the Baum-Welch algorithm), to the case where the observations lie in a Riemannian manifold. It is motivated by the potential use of hidden Markov chains and fields, with observations in Riemannian manifolds, as models… Expand

#### One Citation

Online learning of Riemannian hidden Markov models in homogeneous Hadamard spaces

- Computer Science, Mathematics
- GSI
- 2021

This work presents an algorithm that is online, more accurate, and offers dramatic improvements in speed and efficiency of the Baum-Welch algorithm for hidden Markov models with observations in Riemannian manifolds. Expand

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