State duration modelling in hidden Markov models
Signal Processing
Machine Learning - Special issue on inductive transfer
An Introduction to Variational Methods for Graphical Models
Machine Learning
Hidden Markov Model} Induction by Bayesian Model Merging
Advances in Neural Information Processing Systems 5, [NIPS Conference]
Hidden Markov models approach to the analysis of array CGH data
Journal of Multivariate Analysis
The Journal of Machine Learning Research
CGH-Explorer: a program for analysis of array-CGH data
Bioinformatics
An HDP-HMM for systems with state persistence
Proceedings of the 25th international conference on Machine learning
Beam sampling for the infinite hidden Markov model
Proceedings of the 25th international conference on Machine learning
Selecting hidden Markov model state number with cross-validated likelihood
Computational Statistics
Multi-Task Learning for Analyzing and Sorting Large Databases of Sequential Data
IEEE Transactions on Signal Processing - Part II
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We develop a sticky hidden Markov model (HMM) with a Dirichlet distribution (DD) prior, motivated by the problem of analyzing comparative genomic hybridization (CGH) data. As formulated the sticky DD-HMM prior is employed to infer the number of states in an HMM, while also imposing state persistence. The form of the proposed hierarchical model allows efficient variational Bayesian (VB) inference, of interest for large-scale CGH problems. We compare alternative formulations of the sticky HMM, while also examining the relative efficacy of VB and Markov chain Monte Carlo (MCMC) inference. To validate the formulation, example results are presented for an illustrative synthesized data set and our main application--CGH, for which we consider data for breast cancer. For the latter, we also make comparisons and partially validate the CGH analysis through factor analysis of associated (but distinct) gene-expression data.