On the Power of Threshold Circuits with Small Weights

نویسندگان

  • Kai-Yeung Siu
  • Jehoshua Bruck
چکیده

one can ask is whether there is an efficient. way t.o simulate a network of LTEs with big weight.s by a network of LTEs with small weights. We prove the following results: 1) every LTE with big weights can be simulated by a depth-3, polynomial size network of LTEs with small weights, 2) every depth-d, polynomial size network of LTEs with big weights can be simulated by a depth-(2d+ 1), polynomial size network of LTEs with small weights. To prove these results, we use tools from harmonic analysis of Boolean functions. Out· technique is quite general, it provides insights to some other

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عنوان ژورنال:
  • SIAM J. Discrete Math.

دوره 4  شماره 

صفحات  -

تاریخ انتشار 1991