Junta Threshold for Low Degree Boolean Functions on the Slice
Work
Year: 2023
Type: article
Abstract: We show that a Boolean degree~$d$ function on the slice $\binom{[n]}{k}$ is a junta if $k \geq 2d$, and that this bound is sharp. We prove a similar result for $A$-valued degree~$d$ functions for arbi... more
Author Yuval Filmus
Institution Technion – Israel Institute of Technology
Cites: 8
Cited by: 3
Related to: 10
FWCI: 0.976
Citation percentile (by year/subfield): 78.47
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: diamond