Information theory in property testing and monotonicity testing in higher dimension

Author:

Ailon Nir,Chazelle Bernard

Publisher

Elsevier BV

Subject

Computational Theory and Mathematics,Computer Science Applications,Information Systems,Theoretical Computer Science

Reference13 articles.

1. Improved testing algorithms for monotonicity;Dodis;Proc. RANDOM,1999

2. Spot-checkers;Ergun;Proc. STOC,1998

3. The art of uninformed decisions: A primer to property testing;Fischer;Bull. EATCS,2001

4. On the strength of comparisons in property testing;Fischer;Inform. Comput.,2004

5. Testing Juntas;Fischer;Proc. FOCS,2002

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1. A d1/2+o(1) Monotonicity Tester for Boolean Functions on d-Dimensional Hypergrids*;2023 IEEE 64th Annual Symposium on Foundations of Computer Science (FOCS);2023-11-06

2. Directed Isoperimetric Theorems for Boolean Functions on the Hypergrid and an Õ(n√d) Monotonicity Tester;Proceedings of the 55th Annual ACM Symposium on Theory of Computing;2023-06-02

3. Approximating the distance to monotonicity of Boolean functions;Random Structures & Algorithms;2021-06-24

4. Optimal Unateness Testers for Real-Valued Functions: Adaptivity Helps;Theory of Computing;2020

5. Testing for forbidden order patterns in an array;Random Structures & Algorithms;2019-01-17

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