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Results tagged with fourier-analysis
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user 9155
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Can one prove $\mathsf{PARITY} \notin \mathsf{AC}^0$ using Linial-Mansour-Nisan theorem and ...
LMN theorem shows that if f is a boolean function$(f:\{-1,1\}^n \rightarrow \{-1,1\})$ computable by an $\text{AC}^0$ circuit of size M,
$$\sum_{S:|S|> k} \hat f(S)^{2} \leq 2^{-\Omega(k/(\log M)^{d- …
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