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CJTCS
1999
133views more  CJTCS 1999»
13 years 4 months ago
The Permanent Requires Large Uniform Threshold Circuits
We show that thepermanent cannot be computed by uniform constantdepth threshold circuits of size Tn, for any function T such that for all k, Tk n = o2n. More generally, we show th...
Eric Allender
COCO
2006
Springer
113views Algorithms» more  COCO 2006»
13 years 8 months ago
On the Complexity of Numerical Analysis
We study two quite different approaches to understanding the complexity of fundamental problems in numerical analysis. We show that both hinge on the question of understanding the...
Eric Allender, Peter Bürgisser, Johan Kjeldga...