Constrained Hidden Markov Models

Abstract

By thinking of each state in a hidden Markov model as corresponding to some spatial region of a fictitious topology space it is possible to naturally define neigh(cid:173) bouring states as those which are connected in that space. The transition matrix can then be constrained to allow transitions only between neighbours; this means that all valid state sequences correspond to connected paths in the topology space. I show how such constrained HMMs can learn to discover underlying structure in complex sequences of high dimensional data, and apply them to the problem of recovering mouth movements from acoustics in continuous speech.

Cite

Text

Roweis. "Constrained Hidden Markov Models." Neural Information Processing Systems, 1999.

Markdown

[Roweis. "Constrained Hidden Markov Models." Neural Information Processing Systems, 1999.](https://mlanthology.org/neurips/1999/roweis1999neurips-constrained/)

BibTeX

@inproceedings{roweis1999neurips-constrained,
  title     = {{Constrained Hidden Markov Models}},
  author    = {Roweis, Sam T.},
  booktitle = {Neural Information Processing Systems},
  year      = {1999},
  pages     = {782-788},
  url       = {https://mlanthology.org/neurips/1999/roweis1999neurips-constrained/}
}