Boolean Functions: Noise Stability, Non-Interactive Correlation, and Mutual Information
© 2018 IEEE. Let T- ϵ be the noise operator acting on Boolean functions f: 0,1 nrightarrow 0,1, where ϵin[0,1/2] is the noise parameter. Given p > 1 and the mean mathbb Ef, which Boolean function f maximizes the p-th moment mathbb E(T- ϵf) p- ? Our findings are: in the low noise scenario, i.e., ϵ...
| Main Authors: | , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
IEEE
2021
|
| Online Access: | https://hdl.handle.net/1721.1/137919 |