In the Fastest Mixing Markov Chain problem, we are given a graph G = (V , E) and desire the discrete-time Markov chain with smallest mixing time τ subject to having equilibrium distribution uniform on V and non-zero transition probabilities only across edges of the graph. I...
FastestMixingMarkovChainonGraphswithSymmetries StephenBoyd ∗ PersiDiaconis † PabloA.Parrilo ‡ LinXiao § April27,2007 Abstract Weshowhowtoexploitsymmetriesofagraphtoefficientlycomputethefastestmixing Markovchainonthegraph(i.e.,findthetransitionprobabilitiesontheedgestominimizethe second-largesteigen...
For an irreducible stochastic matrix T, the Kemeny constant K(T) measures the expected time to mixing of the Markov chain corresponding to T. Given a strongly connected directed graph D, we consider the set ΣD of stochastic matrices whose directed graph is subordinate to D, and compute the...
Sparse solutions to the average consensus problem via l 1 -norm regularization of the fastest mixing Markov-chain problem -norm regularized versions of the well-known fastest mixing Markov-chain problem, which are investigated theoretically. In particular, it is shown that suc... G Gnecco,R ...
双语例句 用作形容词(adj.) The fastest animal on land is the cheetah. 陆地上跑得最快的动物是印度豹。 权威例句 The Fastest Pedestrian Detector in the West The Fastest Pedestrian Detector in the West [C] Fastest Mixing Markov Chain on a Graph ...
This has been treated as the Fastest Mixing Markov Chain (FMMC) problem over a graph with given transition probabilities over a subset of edges. Addressing this multi-objective optimization problem over the friendship graph, this paper has provided the corresponding Pareto optimal points or the ...
The fastest mixing, Markov chain (FMMC) problem for G is to determine the weighting that yields the fastest mixing random walk. We solve the FMMC problem in the case that G is the union of two complete graphs.doi:10.1080/03081087.2010.538690Allison, Mary...
Fastest Mixing Markov Chain on a PathLin Xiao
Fastest Mixing Markov-Chain problemoptimizationregularizationsparsityIn the consensus problem on multi-agent systems, in which the states of the agents represent opinions, the agents aim at reaching a common opinion (or consensus state) through local exchange of information. An important ...
In a series of recent works, Boyd, Diaconis, and their co-authors have\nintroduced a semidefinite programming approach for computing the fastest mixing\nMarkov chain on a graph of allowed transitions, given a target stationary\ndistribution. In this paper, we show that standard mixing-time ...