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• W2017016496 abstract "We prove concentration inequalities for general functions of weakly dependent random variables satisfying the Dobrushin condition. In particular, we show Talagrand's convex distance inequality for this type of dependence. We apply our bounds to a version of the stochastic salesman problem, the Steiner tree problem, the total magnetisation of the Curie-Weiss model with external field, and exponential random graph models. Our proof uses the exchangeable pair method for proving concentration inequalities introduced by Chatterjee (2005). Another key ingredient of the proof is a subclass of $(a,b)$-self-bounding functions, introduced by Boucheron, Lugosi and Massart (2009)." @default.
• W2017016496 created "2016-06-24" @default.
• W2017016496 creator A5041259048 @default.
• W2017016496 date "2014-01-01" @default.
• W2017016496 modified "2023-10-15" @default.
• W2017016496 title "The convex distance inequality for dependent random variables, with applications to the stochastic travelling salesman and other problems" @default.
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• W2017016496 doi "https://doi.org/10.1214/ejp.v19-3261" @default.
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