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The complexity of symmetric functions in bounded-depth circuits

โœ Scribed by Bettina Brustmann; Ingo Wegener


Book ID
113163088
Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
232 KB
Volume
25
Category
Article
ISSN
0020-0190

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The average sensitivity of bounded-depth
โœ Ravi B. Boppana ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 414 KB

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 asymptoticall