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 a constant ε d > 0 such that the Parity function on n bits has correlation at most n −εd with dept...

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Bibliographic Details
Main Authors: Chen, R, Santhanam, R, Srinivasan, S
Format: Journal article
Published: University of Chicago, Department of Computer Science 2018