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Variational Learning for Switching State-Space Models (2000)  (Make Corrections)  (36 citations)
Zoubin Ghahramani, Geoffrey E. Hinton
Neural Computation



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Abstract: We introduce a new statistical model for time series which iteratively segments data into regimes with approximately linear dynamics and learns the parameters of each of these linear regimes. This model combines and generalizes two of the most widely used stochastic time series models -- hidden Markov models and linear dynamical systems -- and is closely related to models that are widely used in the control and econometrics literatures. It can also be derived by extending the mixture of experts ... (Update)

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BibTeX entry:   (Update)

Zoubin Ghahramani and Geo rey E. Hinton, \Variational learning for switching state-space models," Neural Computation, vol. 12, no. 4, pp. 831-864, 2000. http://citeseer.ist.psu.edu/article/ghahramani00variational.html   More

@article{ ghahramani00variational,
    author = "Zoubin Ghahramani and Geoffrey E. Hinton",
    title = "Variational Learning for Switching State-Space Models",
    journal = "Neural Computation",
    volume = "12",
    number = "4",
    pages = "831--864",
    year = "2000",
    url = "citeseer.ist.psu.edu/article/ghahramani00variational.html" }
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2528   Maximum likelihood from incomplete data via the EM algorithm (context) - Dempster, Laird et al. - 1977
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1543   Probabilistic Reasoning in Intelligent Systems: Networks of .. (context) - Pearl - 1988  ACM
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168   Time Series Prediction: Forecasting the future and understan.. (context) - Weigend, Gershenfeld - 1993
151   Factorial hidden Markov models - Ghahramani, Jordan - 1997  ACM   DBLP
148   Time Series Analysis (context) - Hamilton - 1994  ACM
105   Probabilistic independence networks for hidden Markov probab.. - Smyth, Heckerman et al. - 1997  ACM   DBLP
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98   Stochastic simulation algorithms for dynamic probabilistic n.. - Kanazawa, Koller et al. - 1995  DBLP
98   Statistical Field Theory (context) - Parisi - 1988
96   A unifying review of linear Gaussian models - Roweis, Ghahramani - 1999  ACM   DBLP
85   The EM algorithm for mixtures of factor analyzers - Ghahramani, Hinton
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38   ML estimation of a Stochastic Linear System with the EM Algo.. - Digalakis, Rohlicek et al. - 1993
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20   Hidden Markov models for fault detection in dynamic systems (context) - Smyth - 1994
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9   Recursive estimation of dynamic modular RBF networks (context) - Kadirkamanathan, Kadirkamanathan - 1996  DBLP
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5   A model for reasoning about persitence and causation (context) - Dean, Kanazawa - 1989
5   On structured variational approximations - Ghahramani - 1997
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3   New results in linear ltering and prediction (context) - Kalman, Bucy - 1961
3   A new view of the EM algorithm that justies incremental (context) - Neal, Hinton - 1998
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1   Learning ne motion by Markov mixtures of experts - Meila, Jordan - 1996
1   Adaptive mixture of local experts (context) - Publication, Jordan et al. - 1991
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1   Dynamic linear models with Markov-switching (context) - Computation, Kim - 1994



The graph only includes citing articles where the year of publication is known.


Documents on the same site (http://www.gatsby.ucl.ac.uk/~zoubin/papers.html):   More
An Introduction to Variational Methods for Graphical.. - Jordan, Ghahramani.. (1998)   (Correct)
A Unifying Review of Linear Gaussian Models - Roweis, Ghahramani (1997)   (Correct)
Learning Nonlinear Dynamical Systems using an EM Algorithm - Ghahramani, Roweis (1999)   (Correct)

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