Average-case lower bounds and satisfiability algorithms for small threshold circuits

We show average-case lower bounds for explicit Boolean functions against bounded-depth threshold circuits with a superlinear number of wires. We show that for each integer d > 1, there is epsilon_d > 0 such that Parity has correlation at most 1/n^{Omega(1)} with depth-d threshold circu...

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Bibliographic Details
Main Authors: Chen, R, Santhanam, R, Srinivasan, S
Format: Conference item
Language:English
Published: Schloss Dagstuhl 2016