A Calculus of Stochastic Systems : Specification, Simulation, and Hidden State Estimation - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Reports (Research Report) Year : 1994

A Calculus of Stochastic Systems : Specification, Simulation, and Hidden State Estimation

Abstract

In this paper, we consider {\it hybrid systems} containing both stochastic and \deterministic components. To compose such systems, we introduce a general combinator which allows the specification of an arbitrary hybrid system in terms of elementary components of only two types. Thus, systems are obtained hierarchically, by composing subsystems, where each subsystem can be viewed as an "increment" in the decomposition of the full system. The resulting hybrid stochastic system specifications are generally not "executable", since they do not necessarily permit the incremental simulation of the system variables. Such a simulation requires compiling the dependency relations existing between the system variables. Another issue involves finding the most likely internal states of a stochastic system from a set of observations. We provide a small set of primitives for transforming hybrid systems, which allows the solution of the two problems of incremental simulation and estimation of stochastic systems within a common framework. The complete model is called CSS ({\it a Calculus of Stochastic Systems}), and is implemented by the \si language, derived from the \signal synchronous language. Our results are applicable to pattern recognition problems formulated in terms of Markov random fields or hidden Markov models (HMMs), and to the automatic generation of diagnostic systems for industrial plants starting from their risk analysis.

Domains

Other [cs.OH]
Fichier principal
Vignette du fichier
RR-2465.pdf (501.41 Ko) Télécharger le fichier

Dates and versions

inria-00074210 , version 1 (24-05-2006)

Identifiers

  • HAL Id : inria-00074210 , version 1

Cite

Albert Benveniste, Bernard C. Levy, Eric Fabre, Paul Le Guernic. A Calculus of Stochastic Systems : Specification, Simulation, and Hidden State Estimation. [Research Report] RR-2465, INRIA. 1994. ⟨inria-00074210⟩
109 View
140 Download

Share

Gmail Facebook Twitter LinkedIn More