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JDA
2007
77views more  JDA 2007»
13 years 4 months ago
Path coupling without contraction
Path coupling is a useful technique for simplifying the analysis of a coupling of a Markov chain. Rather than defining and analysing the coupling on every pair in Ω×Ω, where...
Magnus Bordewich, Martin E. Dyer
RSA
2000
170views more  RSA 2000»
13 years 4 months ago
Delayed path coupling and generating random permutations
We analyze various stochastic processes for generating permutations almost uniformly at random in distributed and parallel systems. All our protocols are simple, elegant and are b...
Artur Czumaj, Miroslaw Kutylowski
FCT
2005
Springer
13 years 10 months ago
Path Coupling Using Stopping Times
Abstract. We analyse the mixing time of Markov chains using path coupling with stopping times. We apply this approach to two hypergraph problems. We show that the Glauber dynamics ...
Magnus Bordewich, Martin E. Dyer, Marek Karpinski
FOCS
2002
IEEE
13 years 9 months ago
Rapidly Mixing Markov Chains for Sampling Contingency Tables with a Constant Number of Rows
We consider the problem of sampling almost uniformly from the set of contingency tables with given row and column sums, when the number of rows is a constant. Cryan and Dyer [3] h...
Mary Cryan, Martin E. Dyer, Leslie Ann Goldberg, M...