Efficient descriptor-vector multiplications in stochastic automata networks

P Fernandes, B Plateau, WJ Stewart - Journal of the ACM (JACM), 1998 - dl.acm.org
This paper examines numerical issues in computing solutions to networks of stochastic
automata. It is well-known that when the matrices that represent the automata contain only …

Stochastic automata networks

B Plateau, WJ Stewart - Computational Probability, 2000 - Springer
A Stochastic Automata Network (SAN) consists of a number of individual stochastic
automata that operate more or less independently of each other. Each individual automaton …

Classification of oriental and European scripts by using characteristic features

J Ding, L Lam, CY Suen - Proceedings of the Fourth …, 1997 - ieeexplore.ieee.org
Two types of techniques are usually adopted in language differentiation: token matching and
statistical analysis. In this paper we present a method which uses a combined analysis of …

A Kronecker product approximate preconditioner for SANs

AN Langville, WJ Stewart - Numerical Linear Algebra with …, 2004 - Wiley Online Library
Many very large Markov chains can be modelled efficiently as stochastic automata networks
(SANs). A SAN is composed of individual automata which, for the most part, act …

An algorithmic approach to stochastic bounds

JM Fourneau, N Pekergin - … of Complex Systems: Techniques and Tools …, 2002 - Springer
We present a new methodology based on the stochastic ordering, algorithmic derivation of
simpler Markov chains and numerical analysis of these chains. The performance indices …

Performance modelling and markov chains

WJ Stewart - International School on Formal Methods for the Design …, 2007 - Springer
Markov chains have become an accepted technique for modeling a great variety of
situations. They have been in use since the early 1900's, but it is only in recent years with …

An aggregation/disaggregation algorithm for stochastic automata networks

P Buchholz - Probability in the Engineering and Informational …, 1997 - cambridge.org
Stochastic automata networks (SANs) have recently received much attention in the literature
as a means to analyze complex Markov chains in an efficient way. The main advantage of …

Product form steady-state distribution for stochastic automata networks with domino synchronizations

JM Fourneau - European Performance Engineering Workshop, 2008 - Springer
We present a new kind of synchronization which allows Continuous Time Stochastic
Automata Networks (SAN) to have a product form steady-state distribution. Unlike previous …

Stochastic automata networks and near complete decomposability

O Gusak, T Dayar, JM Fourneau - SIAM Journal on Matrix analysis and …, 2001 - SIAM
Stochastic automata networks (SANs) have been developed and used in the last fifteen
years as a modeling formalism for large systems that can be decomposed into loosely …

Lumpable continuous-time stochastic automata networks

O Gusak, T Dayar, JM Fourneau - European Journal of Operational …, 2003 - Elsevier
The generator matrix of a continuous-time stochastic automata network (SAN) is a sum of
tensor products of smaller matrices, which may have entries that are functions of the global …