A Constructive Proof of the Existence of Viterbi Processes

@article{Lember2010ACP,
  title={A Constructive Proof of the Existence of Viterbi Processes},
  author={J{\"u}ri Lember and Alexey A. Koloydenko},
  journal={IEEE Transactions on Information Theory},
  year={2010},
  volume={56},
  pages={2017-2033}
}
Since the early days of digital communication, hidden Markov models (HMMs) have now been also routinely used in speech recognition, processing of natural languages, images, and in bioinformatics. In an HMM <i>(X</i> <sub>t</sub>,<i>Y</i> <sub>t</sub>)<sub>t ¿ 1</sub>, observations <i>X</i> <sub>1</sub>,<i>X</i> <sub>2</sub>,... are assumed to be conditionally independent given a Markov process <i>Y</i> <sub>1</sub>,<i>Y</i> <sub>2</sub>,..., which itself is not observed; moreover, the… CONTINUE READING

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