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This is the implementation of [1], that is a partially hidden Markov model (P-HMM). Partially hidden, partially supervised, weakly hidden, weakly supervised, weak prior, soft labels, noisy labels, uncertain and imprecise labels, etc focus on taking account of a prior on the latent space, here for an HMM.

The code provided allows to reproduce the results of the paper (see figures below).

Effect of noisy labels and uncertain labels during learning Effect of noisy labels and uncertain labels during inference

Getting Started

addpath utils/ and run

  1. example_1_simple.m: to run a simple example.
  2. example_2_figuresPaper.m: to reproduce the figures.

Cite

If you make use of this code in your work, please refer to [1]:

@article{PḦMM,
  title={Making use of partial knowledge about hidden states in HMMs: an approach based on belief functions},
  author={Ramasso, Emmanuel and Denoeux, Thierry},
  journal={IEEE Transactions on Fuzzy Systems},
  volume={22},
  number={2},
  pages={395--405},
  year={2013},
  publisher={IEEE}
}

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Learning with soft weak partial labels in hidden Markov Models with continuous observations

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