The adjusted Viterbi training for hidden Markov models

DOI10.3150/07-BEJ105zbMath1168.60033arXiv0803.2394OpenAlexW3104134717MaRDI QIDQ1002581

Alexey Koloydenko, Jüri Lember

Publication date: 2 March 2009

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.2317

zbMATH Keywords

parameter estimationconsistencymaximum likelihoodcomputational efficiencybiashidden Markov modelsEMBaum-WelchViterbi extractionViterbi training

Mathematics Subject Classification ID

Computational methods in Markov chains (60J22) Numerical analysis or methods applied to Markov chains (65C40)

Related Items (11)

On the accuracy of the MAP inference in HMMs ⋮ MAP segmentation in Bayesian hidden Markov models: a case study ⋮ On approximation of smoothing probabilities for hidden Markov models ⋮ The infinite viterbi alignment and decay-convexity ⋮ Asymptotic risks of Viterbi segmentation ⋮ On the Viterbi process with continuous state space ⋮ A Markov-modulated model for stocks paying discrete dividends ⋮ Regenerativity of Viterbi process for pairwise Markov models ⋮ Estimation of Viterbi path in Bayesian hidden Markov models ⋮ Exponential forgetting of smoothing distributions for pairwise Markov models ⋮ Existence of infinite Viterbi path for pairwise Markov models

Cites Work

• Unnamed Item
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• On adjusted Viterbi training
• Maximum-likelihood estimation for hidden Markov models
• Consistent and asymptotically normal parameter estimates for hidden Markov models
• Inference in hidden Markov models.
• A classification EM algorithm for clustering and two stochastic versions
• Multiresolution image classification by hierarchical modeling with two-dimensional hidden Markov models
• The segmental K-means algorithm for estimating parameters of hidden Markov models
• Properties of the maximum a posteriori path estimator in hidden Markov models
• Infinite Viterbi alignments in the two state hidden Markov models
• Application of the Conditional Population-Mixture Model to Image Segmentation
• Global convergence and empirical consistency of the generalized Lloyd algorithm
• Hidden Markov Models for Speech Recognition
• Asymptotic behaviour of classification maximum likelihood estimates
• Biological Sequence Analysis
• Markov Chains
• Model-Based Clustering, Discriminant Analysis, and Density Estimation
• Hidden Markov Models and Disease Mapping
• Hidden Markov processes
• Convergence of the maximum a posteriori path estimator in hidden Markov models
• ADJUSTED VITERBI TRAINING
• Statistical Inference for Probabilistic Functions of Finite State Markov Chains
• Stochastic volatility models as hidden Markov models and statistical applications

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