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The Cartographer
A $\widetilde{O}(n)$ Non-Adaptive Tester for Unateness
August 24, 2016 Β· Declared Dead Β· π Electron. Colloquium Comput. Complex.
"No code URL or promise found in abstract"
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Authors
Deeparnab Chakrabarty, C. Seshadhri
arXiv ID
1608.06980
Category
cs.DS: Data Structures & Algorithms
Cross-listed
cs.DM
Citations
12
Venue
Electron. Colloquium Comput. Complex.
Last Checked
4 months ago
Abstract
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.
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