{"paper":{"title":"A $\\widetilde{O}(n)$ Non-Adaptive Tester for Unateness","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DM"],"primary_cat":"cs.DS","authors_text":"C. Seshadhri, Deeparnab Chakrabarty","submitted_at":"2016-08-24T22:20:43Z","abstract_excerpt":"Khot and Shinkar (RANDOM, 2016) recently describe an adaptive, $O(n \\log(n)/\\varepsilon)$-query tester for unateness of Boolean functions $f:\\{0,1\\}^n \\to \\{0,1\\}$. In this note we describe a simple non-adaptive, $O(n \\log(n/\\varepsilon)/\\varepsilon)$ -query tester for unateness for functions over the hypercube with any ordered range."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.06980","kind":"arxiv","version":2},"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"}