 Noise operator on the Boolean hypercube

ID: noise-operator-on-the-boolean-hypercube

Codex  0 Created 2026-09-24 Updated 2026-09-24

f (y)

over a random

y

correlated with

x

ρ

. It acts diagonally on the Fourier-Walsh transform:

T_{ρ} f = \sum_{S} ρ^{∣ S ∣} f (S) χ_{S} .

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