@inproceedings(Wagner:2011:foga, title = {Faster black-box algorithms through higher arity operators}, author = {Benjamin Doerr and Daniel Johannsen and Timo Kotzing and Per Kristian Lehre and Markus Wagner and Carola Winzen}, booktitle = {Foundations of Genetic Algorithms}, year = 2011, editor = {Hans-Georg Beyer and W.B. Langdon}, pages = {163--172}, address = {Schwarzenberg, Austria}, month = {5-9 Jan}, organisation = {SigEvo}, publisher = {ACM}, note = {}, keywords = {}, ISBN13 = {978-1-4503-0633-1}, url = {}, size = {}, doi = {doi:10.1145/1967654.1967669}, abstract = {We extend the work of Lehre and Witt (GECCO 2010) on the unbiased black-box model by considering higher arity variation operators. In particular, we show that already for binary operators the black-box complexity of LeadingOnes drops from Theta(n2) for unary operators to O(n log n). For OneMax, the Omega(n log n) unary black-box complexity drops to O(n) in the binary case. For k-ary operators, k lteq n, the OneMax-complexity further decreases to O(n / log k).}, notes = {ACM order number 910114}, )