Dynamical Systems Trees

We propose dynamical systems trees (DSTs) as a flexible model for describing multiple processes that interact via a hierarchy of aggregating processes. DSTs extend nonlinear dynamical systems to an interactive group scenario. Various individual processes interact as communities and sub-communities in a tree structure that is unrolled in time. To accommodate nonlinear temporal activity, each individual leaf process is modeled as a dynamical system containing discrete and/or continuous hidden states with discrete and/or Gaussian emissions. Subsequent, higher level parent processes act like hidden Markov models that mediate the interaction between leaf processes or between other parent processes in the hierarchy. Aggregator chains are parents of the child processes the combine and mediate, yielding a compact overall parameterization. We provide tractable inference and learning algorithms for arbitrary DSTs topologies via structured mean-field. Experiments are shown for real trajectory da...

• Type: Conference
• Year: 2004
• Where: UAI
• Authors: Andrew Howard, Tony Jebara
• Keywords: Dynamical Systems, Nonlinear Dynamical Systems, Parent Processes, UAI 2004, UAI 2008