Thought this might be of interest...

Predictive State Representations: A New Theory for
Modeling Dynamical Systems

Satinder Singh, Michael R. James and Matthew R.
Rudary. In Uncertainty in Artificial Intelligence:
Proceedings of the Twentieth Conference (UAI), pages
512-519, 2004.

Abstract
Modeling dynamical systems, both for control purposes
and to make predictions about their behavior, is
ubiquitous in science and engineering. Predictive
state representations PSRs) are a recently introduced
class of models for discrete-time dynamical systems.
The key idea behind PSRs and the closely related OOMs
(Jaeger�s observable operator models) is to represent
the state of the system as a set of predictions of
observable
outcomes of experiments one can do in the system. This
makes PSRs rather different from history-based models
such as nth-order Markov models and hidden-state-based
models such as HMMs and POMDPs. We introduce an
interesting construct, the system-dynamics matrix, and
show how PSRs can be derived simply from it. We also
use this construct to show formally that PSRs are more
general than both nth-order Markov models and
HMMs/POMDPs. Finally, we discuss the main difference
between PSRs and OOMs and conclude with directions for
future work.

http://www.eecs.umich.edu/~baveja/PSRmainpage.html


                
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