Variational Algorithms for Approximate Bayesian InferenceChapter 3 Variational Bayesian Hidden Markov Models 3.1 Introduction Hidden Markov models (HMMs) are widely used in a variety of fields for modelling time se- ries data, with applications including speech recognition, natural language processing, protein sequence modelling and genetic alignment, general data compression, information retrieval, motion video analysis and object/people tracking, and
Unsupervised Learning∗ Zoubin Ghahramani†Gatsby Computational Neuroscience Unit University College London, UK 
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