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Electronic Colloquium on Computational Complexity

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REPORTS > KEYWORD > DEPTH-2 CIRCUITS:
Reports tagged with depth-2 circuits:
TR13-051 | 2nd April 2013
Eric Blais, Li-Yang Tan

Approximating Boolean functions with depth-2 circuits

We study the complexity of approximating Boolean functions with DNFs and other depth-2 circuits, exploring two main directions: universal bounds on the approximability of all Boolean functions, and the approximability of the parity function.
In the first direction, our main positive results are the first non-trivial universal upper bounds on ... more >>>


TR17-092 | 10th May 2017
Shuichi Hirahara

A Duality Between Depth-Three Formulas and Approximation by Depth-Two

We establish an explicit link between depth-3 formulas and one-sided approximation by depth-2 formulas, which were previously studied independently. Specifically, we show that the minimum size of depth-3 formulas is (up to a factor of n) equal to the inverse of the maximum, over all depth-2 formulas, of one-sided-error correlation ... more >>>




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