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: | , |
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| Format: | Article |
| Language: | English |
| Published: |
IEEE,
2021-11-09T15:22:30Z.
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| Subjects: | |
| Online Access: | Get fulltext |