{"paper":{"title":"Faster Black-Box Algorithms Through Higher Arity Operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.NE","authors_text":"Benjamin Doerr, Carola Winzen, Daniel Johannsen, Markus Wagner, Per Kristian Lehre, Timo K\\\"otzing","submitted_at":"2010-12-04T22:11:48Z","abstract_excerpt":"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 $\\Theta(n^2)$ 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, $k \\leq n$, the \\onemax-complexity further decreases to $O(n/\\log k)$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.0952","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}