Math @ Duke

Publications [#330134] of Alessandro Arlotto
Papers Published
 Arlotto, A; Wei, Y; Xie, X, An adaptive O(log n)optimal policy for the online selection of a monotone subsequence from a random sample,
Random Structures and Algorithms, vol. 52 no. 1
(January, 2018),
pp. 4153, Wiley [doi]
(last updated on 2018/01/19)
Abstract: Given a sequence of n independent random variables with common continuous distribution, we propose a simple adaptive online policy that selects a monotone increasing subsequence. We show that the expected number of monotone increasing selections made by such a policy is within O(log n) of optimal. Our construction provides a direct and natural way for proving the O(log n)optimality gap. An earlier proof of the same result made crucial use of a key inequality of Bruss and Delbaen (2001) and of dePoissonization.


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