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» On Proofs about Threshold Circuits and Counting Hierarchies
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CORR
2007
Springer
124views Education» more  CORR 2007»
13 years 7 months ago
Interpolation in Valiant's theory
We investigate the following question: if a polynomial can be evaluated at rational points by a polynomial-time boolean algorithm, does it have a polynomial-size arithmetic circuit...
Pascal Koiran, Sylvain Perifel
COCO
2004
Springer
82views Algorithms» more  COCO 2004»
14 years 27 days ago
Dimension, Entropy Rates, and Compression
This paper develops new relationships between resource-bounded dimension, entropy rates, and compression. New tools for calculating dimensions are given and used to improve previo...
John M. Hitchcock, N. V. Vinodchandran
STOC
1993
ACM
141views Algorithms» more  STOC 1993»
13 years 11 months ago
Bounds for the computational power and learning complexity of analog neural nets
Abstract. It is shown that high-order feedforward neural nets of constant depth with piecewisepolynomial activation functions and arbitrary real weights can be simulated for Boolea...
Wolfgang Maass