@inbook{63de86c4ec694bffb48fdcb2ab091fb4,
title = "Query Minimization Under Stochastic Uncertainty",
abstract = "We study problems with stochastic uncertainty data on intervals for which the precise value can be queried by paying a cost. The goal is to devise an adaptive decision tree to find a correct solution to the problem in consideration while minimizing the expected total query cost. We show that sorting in this scenario can be performed in polynomial time, while finding the data item with minimum value seems to be hard. This contradicts intuition, since the minimum problem is easier both in the online setting with adversarial inputs and in the offline verification setting. However, the stochastic assumption can be leveraged to beat both deterministic and randomized approximation lower bounds for the online setting. Although some literature has been devoted to minimizing query/probing costs when solving uncertainty problems with stochastic input, none of them have considered the setting we describe. Our approach is closer to the study of query-competitive algorithms, and it gives a better perspective on the impact of the stochastic assumption.keywordsstochastic optimizationquery minimizationsortingselectiononline algorithms.",
author = "Steven Chaplick and Halld{\'o}rsson, {Magn{\'u}s M.} and Lima, {Murilo Santos de} and Tigran Tonoyan",
note = "DBLP's bibliographic metadata records provided through http://dblp.org/search/publ/api are distributed under a Creative Commons CC0 1.0 Universal Public Domain Dedication. Although the bibliographic metadata records are provided consistent with CC0 1.0 Dedication, the content described by the metadata records is not. Content may be subject to copyright, rights of privacy, rights of publicity and other restrictions.; 14th Latin American Symposium on Theoretical Informatics : Theoretical Informatics, LATIN 2020 ; Conference date: 05-01-2021 Through 08-01-2021",
year = "2020",
doi = "10.1007/978-3-030-61792-9_15",
language = "English",
isbn = "978-3-030-61791-2",
series = "Lecture Notes in Computer Science",
publisher = "Springer, Cham",
pages = "181--193",
editor = "Y. Kohayakawa and F.K. Miyazawa",
booktitle = "Latin American Symposium on Theoretical Informatics",
address = "Switzerland",
}