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The Infinite Hidden Markov Model
 Machine Learning
, 2002
"... We show that it is possible to extend hidden Markov models to have a countably infinite number of hidden states. By using the theory of Dirichlet processes we can implicitly integrate out the infinitely many transition parameters, leaving only three hyperparameters which can be learned from data. Th ..."
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Cited by 637 (41 self)
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We show that it is possible to extend hidden Markov models to have a countably infinite number of hidden states. By using the theory of Dirichlet processes we can implicitly integrate out the infinitely many transition parameters, leaving only three hyperparameters which can be learned from data
Beam Sampling for the Infinite Hidden Markov Model
"... The infinite hidden Markov model is a nonparametric extension of the widely used hidden Markov model. Our paper introduces a new inference algorithm for the infinite Hidden Markov model called beam sampling. Beam sampling combines slice sampling, which limits the number of states considered at each ..."
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Cited by 52 (8 self)
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The infinite hidden Markov model is a nonparametric extension of the widely used hidden Markov model. Our paper introduces a new inference algorithm for the infinite Hidden Markov model called beam sampling. Beam sampling combines slice sampling, which limits the number of states considered at each
The Block Diagonal Infinite Hidden Markov Model
"... The Infinite Hidden Markov Model (IHMM) extends hidden Markov models to have a countably infinite number of hidden states (Beal et al., 2002; Teh et al., 2006). We present a generalization of this framework that introduces nearly blockdiagonal structure in the transitions between the hidden states, ..."
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Cited by 8 (4 self)
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The Infinite Hidden Markov Model (IHMM) extends hidden Markov models to have a countably infinite number of hidden states (Beal et al., 2002; Teh et al., 2006). We present a generalization of this framework that introduces nearly blockdiagonal structure in the transitions between the hidden states
Maxmargin infinite hidden Markov models
 JMLR W&CP
, 2014
"... Infinite hidden Markov models (iHMMs) are nonparametric Bayesian extensions of hidden Markov models (HMMs) with an infinite number of states. Though flexible in describing sequential data, the generative formulation of iHMMs could limit their discriminative ability in sequential prediction tasks. ..."
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Cited by 2 (2 self)
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Infinite hidden Markov models (iHMMs) are nonparametric Bayesian extensions of hidden Markov models (HMMs) with an infinite number of states. Though flexible in describing sequential data, the generative formulation of iHMMs could limit their discriminative ability in sequential prediction tasks
MultiAspect Target Detection via the Infinite Hidden Markov Model
, 2006
"... A new multiaspect target detection method is presented based on the infinite hidden Markov model (iHMM). The scattering of waves from a target is modeled as an iHMM with the number of underlying states treated as infinite, from which a full posterior distribution on the number of states associated ..."
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Cited by 1 (0 self)
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A new multiaspect target detection method is presented based on the infinite hidden Markov model (iHMM). The scattering of waves from a target is modeled as an iHMM with the number of underlying states treated as infinite, from which a full posterior distribution on the number of states
Gene Expression Time Course Clustering with Countably Infinite Hidden Markov Models
"... Most existing approaches to clustering gene expression time course data treat the different time points as independent dimensions and are invariant to permutations, such as reversal, of the experimental time course. Approaches utilizing HMMs have been shown to be helpful in this regard, but are hamp ..."
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Cited by 12 (0 self)
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that the infinite models utilize more hidden states and employ richer architectures (e.g. statetostate transitions) without the damaging effects of overfitting. 1
Gene Expression Time Course Clustering with Countably Infinite Hidden Markov Models
"... Most existing approaches to clustering gene expression time course data treat the different time points as independent dimensions and are invariant to permutations, such as reversal, of the experimental time course. Approaches utilizing HMMs have been shown to be helpful in this regard, but are hamp ..."
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that the infinite models utilize more hidden states and employ richer architectures (e.g. statetostate transitions) without the damaging effects of overfitting. 1
BAYESIAN NONPARAMETRIC SPECTROGRAM MODELING BASED ON INFINITE FACTORIAL INFINITE HIDDEN MARKOV MODEL
"... This paper presents a Bayesian nonparametric latent source discovery method for music signal analysis. In audio signal analysis, an important goal is to decompose music signals into individual notes, with applications such as music transcription, source separation or notelevel manipulation. Recent ..."
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the number of sources and automatically grouping spectra into single events. We address both these problems by developing a Bayesian nonparametric fusion of NMF and hidden Markov model (HMM). Our model decomposes music spectrograms in an automatically estimated number of components, each of which consisting
An introduction to hidden Markov models
 IEEE ASSp Magazine
, 1986
"... The basic theory of Markov chains has been known to ..."
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Cited by 1132 (2 self)
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The basic theory of Markov chains has been known to
What is a hidden Markov model?
, 2004
"... Often, problems in biological sequence analysis are just a matter of putting the right label on each residue. In gene identification, we want to label nucleotides as exons, introns, or intergenic sequence. In sequence alignment, we want to associate residues in a query sequence with homologous resi ..."
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Cited by 1344 (8 self)
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, and a polyadenylation signal. All too often, piling more reality onto a fragile ad hoc program makes it collapse under its own weight. Hidden Markov models (HMMs) are a formal foundation for making probabilistic models of
Results 1  10
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113,246