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MFCS
2009
Springer
13 years 11 months ago
Size and Energy of Threshold Circuits Computing Mod Functions
Let C be a threshold logic circuit computing a Boolean function MODm : {0, 1}n → {0, 1}, where n ≥ 1 and m ≥ 2. Then C outputs “0” if the number of “1”s in an input ...
Kei Uchizawa, Takao Nishizeki, Eiji Takimoto
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
FCT
2009
Springer
13 years 11 months ago
Energy Complexity and Depth of Threshold Circuits
Abstract. In the paper we show that there is a close relationship between the energy complexity and the depth of threshold circuits computing any Boolean function although they hav...
Kei Uchizawa, Takao Nishizeki, Eiji Takimoto
ECCC
2006
107views more  ECCC 2006»
13 years 4 months ago
Energy Complexity and Entropy of Threshold Circuits
Abstract. Circuits composed of threshold gates (McCulloch-Pitts neurons, or perceptrons) are simplified models of neural circuits with the advantage that they are theoretically mor...
Wolfgang Maass, Kei Uchizawa, Rodney J. Douglas
IPL
2006
86views more  IPL 2006»
13 years 4 months ago
Monotone circuits for monotone weighted threshold functions
Weighted threshold functions with positive weights are a natural generalization of unweighted threshold functions. These functions are clearly monotone. However, the naive way of ...
Amos Beimel, Enav Weinreb