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The power of amnesia: learning probabilistic automata with variable memory length
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Factorial Hidden Markov Models
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Nonlinear manifold learning for visual speech recognition
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
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Neural Computation
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VLDB '07 Proceedings of the 33rd international conference on Very large data bases
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Information Fusion
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Image Communication
AAAI'04 Proceedings of the 19th national conference on Artifical intelligence
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ACM Transactions on Knowledge Discovery from Data (TKDD)
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Computer Speech and Language
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Journal of Signal Processing Systems
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IEEE Transactions on Systems, Man, and Cybernetics, Part C: Applications and Reviews
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SIGMORPHON '10 Proceedings of the 11th Meeting of the ACL Special Interest Group on Computational Morphology and Phonology
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SSPR&SPR'10 Proceedings of the 2010 joint IAPR international conference on Structural, syntactic, and statistical pattern recognition
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ICONIP'10 Proceedings of the 17th international conference on Neural information processing: theory and algorithms - Volume Part I
Statistical modelling in continuous speech recognition (CSR)
UAI'01 Proceedings of the Seventeenth conference on Uncertainty in artificial intelligence
VOGUE: a novel variable order-gap state machine for modeling sequences
PKDD'06 Proceedings of the 10th European conference on Principle and Practice of Knowledge Discovery in Databases
Deconvolutive clustering of markov states
ECML'06 Proceedings of the 17th European conference on Machine Learning
Symbolic generalization for on-line planning
UAI'03 Proceedings of the Nineteenth conference on Uncertainty in Artificial Intelligence
Event prediction in a hybrid camera network
ACM Transactions on Sensor Networks (TOSN)
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CANS'06 Proceedings of the 5th international conference on Cryptology and Network Security
State aggregation in higher order markov chains for finding online communities
IDEAL'06 Proceedings of the 7th international conference on Intelligent Data Engineering and Automated Learning
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We study Markov models whose state spaces arise from the Cartesian product of two or more discrete random variables. We show how to parameterize the transition matrices of these models as a convex combination—or mixture—of simpler dynamical models. The parameters in these models admit a simple probabilistic interpretation and can be fitted iteratively by an Expectation-Maximization (EM) procedure. We derive a set of generalized Baum-Welch updates for factorial hidden Markov models that make use of this parameterization. We also describe a simple iterative procedure for approximately computing the statistics of the hidden states. Throughout, we give examples where mixed memory models provide a useful representation of complex stochastic processes.