Highly Influenced

# The Average Sensitivity of Bounded-Depth Circuits

@article{Boppana1997TheAS, title={The Average Sensitivity of Bounded-Depth Circuits}, author={Ravi B. Boppana}, journal={Inf. Process. Lett.}, year={1997}, volume={63}, pages={257-261} }

- Published 1997 in Inf. Process. Lett.
DOI:10.1016/S0020-0190(97)00131-2

The average sensitivity of a Boolean circuit is the expected number of input bits that, when flipped, change the output of the circuit, starting with a random input setting. We show that unbounded-fanin circuits of depth d and size s have average sensitivity 0( log s)~-‘. This bound is asymptotically tight. @ 1997 Elsevier Science B.V.

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