Results 21 to 30 of about 98,858 (265)

Event-Chain Monte Carlo: Foundations, Applications, and Prospects

Frontiers in Physics, 2021
This review treats the mathematical and algorithmic foundations of non-reversible Markov chains in the context of event-chain Monte Carlo (ECMC), a continuous-time lifted Markov chain that employs the factorized Metropolis algorithm. It analyzes a number
Werner Krauth
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Analysis of signalling pathways using continuous time Markov chains [PDF]

, 2006
We describe a quantitative modelling and analysis approach for signal transduction networks. We illustrate the approach with an example, the RKIP inhibited ERK pathway [CSK+03].
A. Aziz, B. Schoeberl, B.N. Kholodenko, C. Priami, D. Gillespie, E.O. Voit, H. Matsuno, J.W. Pinney, K.-H. Cho, L. Popova-Zeugmann, M. Kwiatkowska, N. Chabrier, N. Chabrier-Rivier   +12 more
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Continuous approximation of collective system behaviour: A tutorial [PDF]

, 2013
In this paper we present an overview of the field of deterministic approximation of Markov processes, both in discrete and continuous times. We will discuss mean field approximation of discrete time Markov chains and fluid approximation of continuous ...
Bortolussi, Luca, Hillston, Jane, Latella, Diego, Massink, Mieke   +3 more
core   +1 more source

A Markov Chain Model Checker [PDF]

, 2000
Markov chains are widely used in the context of performance and reliability evaluation of systems of various nature. Model checking of such chains with respect to a given (branching) temporal logic formula has been proposed for both the discrete [17,6 ...
Hermanns, Holger, Katoen, Joost-Pieter, Meyer-Kayser, Joachim, Siegle, M.   +3 more
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Novel Approach of Multistate Markov Chains to Evaluate Progression in the Expanded Model of Non-alcoholic Fatty Liver Disease

Frontiers in Applied Mathematics and Statistics, 2022
A global increase in the prevalence of obesity and type 2 diabetes is strongly connected to an increased prevalence of non-alcoholic fatty liver disease (NAFLD) worldwide.
Iman M. Attia
doaj   +1 more source

Jarzyski’s Equality and Crooks’ Fluctuation Theorem for General Markov Chains with Application to Decision-Making Systems

Entropy, 2022
We define common thermodynamic concepts purely within the framework of general Markov chains and derive Jarzynski’s equality and Crooks’ fluctuation theorem in this setup.
Pedro Hack, Sebastian Gottwald, Daniel A. Braun   +2 more
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Statistics for Continuous Time Markov Chains, a Short Review

Axioms
This review article is concerned to provide a global context to several works on the fitting of continuous time nonhomogeneous Markov chains with finite state space and also to point out some selected aspects of two techniques previously introduced ...
Manuel L. Esquível, Nadezhda P. Krasii
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Discrete-time dynamic modeling for software and services composition as an extension of the Markov chain approach [PDF]

, 2012
Discrete Time Markov Chains (DTMCs) and Continuous Time Markov Chains (CTMCs) are often used to model various types of phenomena, such as, for example, the behavior of software products.
Filieri, A, Ghezzi, C, Leva, A, Maggio, M   +3 more
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On three methods for bounding the rate of convergence for some continuous–time Markov chains

International Journal of Applied Mathematics and Computer Science, 2020
Consideration is given to three different analytical methods for the computation of upper bounds for the rate of convergence to the limiting regime of one specific class of (in)homogeneous continuous-time Markov chains.
Zeifman Alexander, Satin Yacov, Kryukova Anastasia, Razumchik Rostislav, Kiseleva Ksenia, Shilova Galina   +5 more
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A Probabilistic Temporal Logic with Frequency Operators and Its Model Checking [PDF]

Electronic Proceedings in Theoretical Computer Science, 2011
Probabilistic Computation Tree Logic (PCTL) and Continuous Stochastic Logic (CSL) are often used to describe specifications of probabilistic properties for discrete time and continuous time, respectively.
Takashi Tomita, Shigeki Hagihara, Naoki Yonezaki   +2 more
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