Fooling Polytopes-Reference-Cited by-同舟云学术

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Fooling Polytopes

Published:2022-01-31 Issue:2 Volume:69 Page:1-37
ISSN:0004-5411
Container-title:Journal of the ACM
language:en
Short-container-title:J. ACM

Author:

O’Donnell Ryan¹,Servedio Rocco A.²,Tan Li-Yang³

Affiliation:

1. Carnegie Mellon University, Pittsburgh, PA, USA

2. Columbia University, New York, USA

3. Stanford University, Stanford, CA, USA

Abstract

We give a pseudorandom generator that fools m -facet polytopes over {0, 1} n with seed length polylog( m ) · log n . The previous best seed length had superlinear dependence on m .

Funder

NSF

National Science Foundation

Publisher

Association for Computing Machinery (ACM)

Subject

Artificial Intelligence,Hardware and Architecture,Information Systems,Control and Systems Engineering,Software

Link

https://dl.acm.org/doi/pdf/10.1145/3460532

Reference64 articles.

1. Deterministic simulation of probabilistic constant depth circuits;Ajtai Miklós;Adv. Comput. Res.,1989

2. Positive spectrahedrons: Geometric properties, invariance principles and pseudorandom generators;Arunachalam Srinivasan;CoRR,2021

3. Polylogarithmic Independence Can Fool DNF Formulas

4. Smooth approximations of the norm and differentiable functions with bounded support in banach spacel ? k

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