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» A simulation-based method for aggregating Markov chains
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WSC
1998
11 years 6 months ago
Stopping Criterion for a Simulation-Based Optimization Method
We consider a new simulation-based optimization method called the Nested Partitions (NP) method. This method generates a Markov chain and solving the optimization problem is equiv...
Sigurdur Ólafsson, Leyuan Shi
CDC
2009
IEEE
147views Control Systems» more  CDC 2009»
11 years 10 months ago
A simulation-based method for aggregating Markov chains
— This paper addresses model reduction for a Markov chain on a large state space. A simulation-based framework is introduced to perform state aggregation of the Markov chain base...
Kun Deng, Prashant G. Mehta, Sean P. Meyn
SIAMSC
2008
148views more  SIAMSC 2008»
11 years 5 months ago
Multilevel Adaptive Aggregation for Markov Chains, with Application to Web Ranking
A multilevel adaptive aggregation method for calculating the stationary probability vector of an irreducible stochastic matrix is described. The method is a special case of the ada...
Hans De Sterck, Thomas A. Manteuffel, Stephen F. M...
SIAMSC
2010
114views more  SIAMSC 2010»
11 years 3 months ago
Smoothed Aggregation Multigrid for Markov Chains
Abstract. A smoothed aggregation multigrid method is presented for the numerical calculation of the stationary probability vector of an irreducible sparse Markov chain. It is shown...
Hans De Sterck, Thomas A. Manteuffel, Stephen F. M...
SIAMSC
2010
116views more  SIAMSC 2010»
11 years 3 months ago
Recursively Accelerated Multilevel Aggregation for Markov Chains
A recursive acceleration method is proposed for multiplicative multilevel aggregation algorithms that calculate the stationary probability vector of large, sparse, and irreducible ...
Hans De Sterck, K. Miller, G. Sanders, M. Winlaw
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