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Structured Hidden Markov Model: A General Framework for Modeling Complex Sequences

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AI*IA 2007: Artificial Intelligence and Human-Oriented Computing (AI*IA 2007)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4733))

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Abstract

Structured Hidden Markov Model (S-HMM) is a variant of Hierarchical Hidden Markov Model that shows interesting capabilities of extracting knowledge from symbolic sequences. In fact, the S-HMM structure provides an abstraction mechanism allowing a high level symbolic description of the knowledge embedded in S-HMM to be easily obtained. The paper provides a theoretical analysis of the complexity of the matching and training algorithms on S-HMMs. More specifically, it is shown that Baum-Welch algorithm benefits from the so called locality property, which allows specific components to be modified and retrained, without doing so for the full model. The problem of modeling duration and of extracting (embedding) readable knowledge from (into) a S-HMM is also discussed.

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References

  1. Bailey, T., Elkan, C.: Fitting a mixture model by expectation maximization to discover motifs in biopolymers. In: Proceedings of the Second International Conference on Intelligent Systems for Molecular Biology, pp. 28–36. AAAI Press, Menlo Park, California (1994)

    Google Scholar 

  2. Baum, L.E., Petrie, T., Soules, G., Weiss, N.: A maximisation techniques occurring in the statistical analysis of probabilistic functions of markov chains. The Annals of Mathematical Statistics 41(1), 164–171 (1970)

    Article  MATH  MathSciNet  Google Scholar 

  3. Bouchaffra, D., Tan, J.: Structural hidden markov models using a relation of equivalence: Application to automotive designs. Data Mining and Knowledge Discovery 12, 79–96 (2006)

    Article  MathSciNet  Google Scholar 

  4. Durbin, R., Eddy, S., Krogh, A., Mitchison, G.: Biological sequence analysis. Cambridge University Press, Cambridge (1998)

    MATH  Google Scholar 

  5. Fine, S., Singer, Y., Tishby, N.: The hierarchical hidden markov model: Analysis and applications. Machine Learning 32, 41–62 (1998)

    Article  MATH  Google Scholar 

  6. Forney, G.D.: The viterbi algorithm. Proceedings of IEEE 61, 268–278 (1973)

    Article  MathSciNet  Google Scholar 

  7. Galassi, U., Giordana, A., Saitta, L.: Incremental construction of structured hidden markov models. In: proceedings IJCAI 2007, pp. 2222–2227 (2007)

    Google Scholar 

  8. Ghahramani, Z., Jordan, M.: Factorial hidden markov models. Machine Learning 2, 1–31 (1997)

    Google Scholar 

  9. Grundy, N.W., Bailey, T., Elkan, C., Baker, M.: Meta-meme: Motif-based hidden markov models of biological sequences. Computer Applications in the Biosciences 13(4), 397–406 (1997)

    Google Scholar 

  10. Josep, A.B.: Duration modeling with expanded hmm applied to speech recognition

    Google Scholar 

  11. Levinson, S.: Continuous variable duration hidden markov models for automatic speech recognition. Computer Speech and Language 1, 29–45 (1986)

    Article  Google Scholar 

  12. Murphy, K., Paskin, M.: Linear time inference in hierarchical hmms. In: Advances in Neural Information Processing Systems (NIPS 2001), vol. 14 (2001)

    Google Scholar 

  13. Pylkknen, J., Kurimo, M.: Using phone durations in finnish large vocabulary continuous speech recognition (2004)

    Google Scholar 

  14. Rabiner, L.R.: A tutorial on hidden markov models and selected applications in speech recognition. Proceedings of IEEE 77(2), 257–286 (1989)

    Article  Google Scholar 

  15. Rabiner, L., Juang, B.: Fundamentals of Speech Recognition. Prentice Hall, Englewood Cliffs, NY (1993)

    Google Scholar 

  16. Tweed, D., Fisher, R., Bins, J., List, T.: Efficient hidden semi-markov model inference for structured video sequences. In: Proc. 2nd Joint IEEE Int. Workshop on VSPETS, Beijing, China, pp. 247–254. IEEE Computer Society Press, Los Alamitos (2005)

    Google Scholar 

  17. Yu, S.-Z., Kobashi, H.: An efficient forward-backward algorithm for an explicit duration hidden markov model. IEEE Signal Processing Letters 10(1) (2003)

    Google Scholar 

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Roberto Basili Maria Teresa Pazienza

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© 2007 Springer-Verlag Berlin Heidelberg

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Galassi, U., Giordana, A., Saitta, L. (2007). Structured Hidden Markov Model: A General Framework for Modeling Complex Sequences. In: Basili, R., Pazienza, M.T. (eds) AI*IA 2007: Artificial Intelligence and Human-Oriented Computing. AI*IA 2007. Lecture Notes in Computer Science(), vol 4733. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74782-6_26

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  • DOI: https://doi.org/10.1007/978-3-540-74782-6_26

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74781-9

  • Online ISBN: 978-3-540-74782-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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