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Randomized Optimization: a Probabilistic Analysis

Abstract : In 1999, Chan proposed an algorithm to solve a given optimization problem: express the solution as the minimum of the solutions of several subproblems and apply the classical randomized algorithm for finding the minimum of $r$ numbers. If the decision versions of the subproblems are easier to solve than the subproblems themselves, then a faster algorithm for the optimization problem may be obtained with randomization. In this paper we present a precise probabilistic analysis of Chan's technique.
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Jean Cardinal, Stefan Langerman, Guy Louchard. Randomized Optimization: a Probabilistic Analysis. 2007 Conference on Analysis of Algorithms, AofA 07, 2007, Juan les Pins, France. pp.57-78. ⟨hal-01184788⟩

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