Title
Nonparametric Bayesian Learning of Switching Linear Dynamical Systems
Abstract
Many nonlinear dynamical phenomena can be effectively modeled by a system that switches among a set of conditionally linear dynamical modes. We con- sider two such models: the switching linear dynamical system (SLDS) and the switching vector autoregressive (VAR) process. Our nonparametric Bayesian ap- proach utilizes a hierarchical Dirichlet process prior to l earn an unknown number of persistent, smooth dynamical modes. We develop a sampling algorithm that combines a truncated approximation to the Dirichlet process with efficient joint sampling of the mode and state sequences. The utility and flex ibility of our model are demonstrated on synthetic data, sequences of dancing honey bees, and the IBOVESPA stock index.
Year
Venue
Keywords
2008
NIPS
indexation,synthetic data,vector autoregression,nonlinear dynamics,hierarchical dirichlet process,linear dynamical system,bayesian learning
Field
DocType
Citations 
Autoregressive model,Hierarchical Dirichlet process,Linear dynamical system,Mathematical optimization,Dirichlet process,Nonlinear system,Computer science,Synthetic data,Sampling (statistics),Artificial intelligence,Random dynamical system,Machine learning
Conference
53
PageRank 
References 
Authors
2.02
10
4
Name
Order
Citations
PageRank
Emily B. Fox154239.91
Erik B. Sudderth21420119.04
Michael I. Jordan3312203640.80
Alan S. Willsky47466847.01