Directed Isoperimetric Theorems for Boolean Functions on the Hypergrid and an Õ(n√d) Monotonicity Tester-Reference-Cited by-同舟云学术

Directed Isoperimetric Theorems for Boolean Functions on the Hypergrid and an Õ(n√d) Monotonicity Tester

Published:2023-06-02 Issue: Volume: Page:
ISSN:
Container-title:Proceedings of the 55th Annual ACM Symposium on Theory of Computing
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Author:

Black Hadley¹,Chakrabarty Deeparnab²,Seshadhri C.³

Affiliation:

1. University of California at Los Angeles, Los Angeles, USA

2. Dartmouth College, USA

3. University of California at Santa Cruz, Santa Cruz, USA

Funder

NSF-CAREER

NSF DMS

CCF

ARO

Publisher

ACM

Link

https://dl.acm.org/doi/pdf/10.1145/3564246.3585167

Reference41 articles.

1. Information theory in property testing and monotonicity testing in higher dimension

2. A Polynomial Lower Bound for Testing Monotonicity;Belovs Aleksandrs;SIAM Journal on Computing (SICOMP),2021

3. Piotr Berman , Sofya Raskhodnikova , and Grigory Yaroslavtsev . 2014 . L_p-testing . In Proceedings, ACM Symposium on Theory of Computing (STOC). Piotr Berman, Sofya Raskhodnikova, and Grigory Yaroslavtsev. 2014. L_p-testing. In Proceedings, ACM Symposium on Theory of Computing (STOC).

4. Arnab Bhattacharyya. 2008. A note on the distance to monotonicity of boolean functions. Electronic Colloquium on Computational Complexity (ECCC). Arnab Bhattacharyya. 2008. A note on the distance to monotonicity of boolean functions. Electronic Colloquium on Computational Complexity (ECCC).

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1. A d^1/2+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