Near-Optimal Lower Bounds on the Threshold Degree and Sign-Rank of AC$^0$-Reference-Cited by-同舟云学术

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Near-Optimal Lower Bounds on the Threshold Degree and Sign-Rank of AC$^0$

Published:2021-08-20 Issue: Volume: Page:STOC19-1-STOC19-86
ISSN:0097-5397
Container-title:SIAM Journal on Computing
language:en
Short-container-title:SIAM J. Comput.

Author:

Sherstov Alexander A.^ORCID,Wu Pei^ORCID

Funder

Alfred P. Sloan Foundation

National Science Foundation

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

General Mathematics,General Computer Science

Link

https://epubs.siam.org/doi/pdf/10.1137/20M1312459

Reference45 articles.

1. Quantum lower bounds for the collision and the element distinctness problems

2. Any AND-OR Formula of Size N Can Be Evaluated in Time $N^{1/2+o(1)}$ on a Quantum Computer

3. The expressive power of voting polynomials

4. Multiparty protocols, pseudorandom generators for logspace, and time-space trade-offs

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Depth- Threshold Circuits vs. Depth-(+1) AND-OR Trees;Proceedings of the 55th Annual ACM Symposium on Theory of Computing;2023-06-02

2. A Short List of Equalities Induces Large Sign-Rank;SIAM Journal on Computing;2022-06

3. The Large-Error Approximate Degree of AC⁰;Theory of Computing;2021

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