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Many natural systems, such as neurons firing in the brain or basketball teams traversing a court, give rise to time series data with complex, nonlinear dynamics.
On state estimation in switching environments
Guy A Ackerson and King-Sun Fu · 1970
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State estimation for discrete systems with switching parameters
Chaw-Bing Chang and Michael Athans · 1978
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Nonlinear regulation: The piecewise linear approach
Eduardo Sontag · 1981
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Analysis of time series subject to changes in regime
James D Hamilton · 1990
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Switching state-space models
Zoubin Ghahramani and Geoffrey E Hinton · 1996
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Long short-term memory
Sepp Hochreiter and Jürgen Schmidhuber · 1997
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Switching Kalman filters
Kevin P Murphy · 1998
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On sequential Monte Carlo sampling methods for Bayesian filtering
Arnaud Doucet, Simon Godsill, and Christophe Andrieu · 2000
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A Bayesian approach to identification of hybrid systems
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Identification of hybrid systems a tutorial
Simone Paoletti, Aleksandar Lj Juloski, Giancarlo Ferrari-Trecate, and René Vidal · 2007
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Nonparametric Bayesian learning of switching linear dynamical systems
Emily Fox, Erik B Sudderth, Michael I Jordan, and Alan S Willsky · 2009
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Luke Tierney and Joseph B Kadane · 2013
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Stochastic variational inference for hidden Markov models
Nicholas Foti, Jason Xu, Dillon Laird, and Emily Fox · 2014
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Stochastic variational inference for Bayesian time series models
Matthew J. Johnson and Alan S. Willsky · 2014
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A theoretically grounded application of dropout in recurrent neural networks
Yarin Gal and Zoubin Ghahramani · 2015
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Dependent multinomial models made easy: Stick-breaking with the Pólya-gamma augmentation
Scott W Linderman, Matthew J Johnson, and Ryan P Adams · 2015
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Matthew D Hoffman, David M Blei, Chong Wang, and John William Paisley · 2013
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Bayesian inference for logistic models using Pólya-gamma latent variables
Nicholas G Polson, James G Scott, and Jesse Windle · 2013
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Composing graphical models with neural networks for structured representations and fast inference
Matthew J Johnson, David Duvenaud, Alexander B Wiltschko, Sandeep R Datta, and Ryan P Adams · 2016
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LFADS: Latent factor analysis via dynamical systems
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