Upper and Lower Bounds on Unrestricted Black-Box Complexity of Jump _n, ℓ

Maxim Buzdalov, Mikhail Kever, Benjamin Doerr

Research output: Chapter in Book/Report/Conference proceedingConference Proceeding (Non-Journal item)

5 Citations (Scopus)

Abstract

We analyse the unrestricted black-box complexity of Jumpn,ℓ functions. For upper bounds, we present three algorithms for small, medium and extreme values of ℓ We present a matrix lower bound theorem which is capable of giving better lower bounds than a general information theory approach if one is able to assign different types to queries and define relationships between them. Using this theorem, we prove lower bounds for Jump separately for odd and even values of n. For several cases, notably for extreme Jump, the first terms of lower and upper bounds coincide.
Original languageEnglish
Title of host publicationEvolutionary Computation in Combinatorial Optimization
Subtitle of host publication15th European Conference, EvoCOP 2015, Copenhagen, Denmark, April 8-10, 2015, Proceedings
PublisherSpringer Nature
Pages209-221
Number of pages13
ISBN (Electronic)978-3-319-16468-7
ISBN (Print)978-3-319-16467-0
DOIs
Publication statusPublished - 15 Mar 2015
Externally publishedYes

Publication series

NameLecture Notes in Computer Science
PublisherSpringer Natuer
Volume9026
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

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