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An HDP-HMM for systems with state persistence

Published: 05 July 2008 Publication History

Abstract

The hierarchical Dirichlet process hidden Markov model (HDP-HMM) is a flexible, nonparametric model which allows state spaces of unknown size to be learned from data. We demonstrate some limitations of the original HDP-HMM formulation (Teh et al., 2006), and propose a sticky extension which allows more robust learning of smoothly varying dynamics. Using DP mixtures, this formulation also allows learning of more complex, multimodal emission distributions. We further develop a sampling algorithm that employs a truncated approximation of the DP to jointly resample the full state sequence, greatly improving mixing rates. Via extensive experiments with synthetic data and the NIST speaker diarization database, we demonstrate the advantages of our sticky extension, and the utility of the HDP-HMM in real-world applications.

References

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Beal, M. J., Ghahramani, Z., & Rasmussen, C. E. (2002). The infinite hidden Markov model. NIPS (pp. 577--584).
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Fox, E., Sudderth, E., Jordan, M., & Willsky, A. (2007). A tempered HDP-HMM for systems with state persistence. MIT LIDS, TR #2777.
[3]
Ishwaran, H., & Zarepour, M. (2002). Exact and approximate sum-representations for the Dirichlet process. Can. J. Stat., 30, 269--283.
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Kivinen, J. J., Sudderth, E. B., & Jordan, M. I. (2007). Learning multiscale representations of natural scenes using Dirichlet processes. ICCV (pp. 1--8).
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NIST (2007). Rich transcriptions database. http://www.nist.gov/speech/tests/rt/.
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Rabiner, L. (1989). A tutorial on hidden Markov models and selected applications in speech recognition. Proc. IEEE, 77, 257--286.
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Rodriguez, A., Dunson, D., & Gelfand, A. (2006). The nested Dirichlet process. Duke ISDS, TR #06--19.
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Scott, S. (2002). Bayesian methods for hidden Markov models: Recursive computing in the 21st century. J. Amer. Stat. Assoc., 97, 337--351.
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Sethuraman, J. (1994). A constructive definition of Dirichlet priors. Stat. Sinica, 4, 639--650.
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Teh, Y. W., Jordan, M. I., Beal, M. J., & Blei, D. M. (2006). Hierarchical Dirichlet processes. J. Amer. Stat. Assoc., 101, 1566--1581.
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Wooters, C., & Huijbregts, M. (2007). The ICSI RT07s speaker diarization system. To appear in LNCS.
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Xing, E., & Sohn, K.-A. (2007). Hidden Markov Dirichlet process: Modeling genetic inference in open ancestral space. Bayes. Analysis, 2, 501--528.

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cover image ACM Other conferences
ICML '08: Proceedings of the 25th international conference on Machine learning
July 2008
1310 pages
ISBN:9781605582054
DOI:10.1145/1390156
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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  • Pascal
  • University of Helsinki
  • Xerox
  • Federation of Finnish Learned Societies
  • Google Inc.
  • NSF
  • Machine Learning Journal/Springer
  • Microsoft Research: Microsoft Research
  • Intel: Intel
  • Yahoo!
  • Helsinki Institute for Information Technology
  • IBM: IBM

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 05 July 2008

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  • Intel
  • IBM

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Overall Acceptance Rate 140 of 548 submissions, 26%

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  • (2024)Multiple maneuvering target tracking based on hierarchical Dirichlet process and hidden Markov modelSignal Processing10.1016/j.sigpro.2023.109344217(109344)Online publication date: Apr-2024
  • (2024)Detecting changes in the transmission rate of a stochastic epidemic modelStatistics in Medicine10.1002/sim.1005043:10(1867-1882)Online publication date: 26-Feb-2024
  • (2023)Key Enabling Technologies for Smart Factory in Automotive Industry: Status and ApplicationsInternational Journal of Precision Engineering and Manufacturing-Smart Technology10.57062/ijpem-st.2022.00171:1(93-105)Online publication date: 1-Jan-2023
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  • (2023)Hidden Markov Mixture of Gaussian Process Functional Regression: Utilizing Multi-Scale Structure for Time Series ForecastingMathematics10.3390/math1105125911:5(1259)Online publication date: 5-Mar-2023
  • (2023)Research on the Theory and Application of Bayesian Nonparametric Methods in Big DataStatistics and Application10.12677/SA.2023.12203012:02(283-292)Online publication date: 2023
  • (2023)Bayesian Learning of Graph SubstructuresBayesian Analysis10.1214/22-BA133818:4Online publication date: 1-Dec-2023
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  • (2023)A Survey on Safety-Critical Driving Scenario Generation—A Methodological PerspectiveIEEE Transactions on Intelligent Transportation Systems10.1109/TITS.2023.325932224:7(6971-6988)Online publication date: Jul-2023
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