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» Learning Arithmetic Circuits
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TC
2002
13 years 5 months ago
A Number System with Continuous Valued Digits and Modulo Arithmetic
This paper presents a novel number system based on signed continuous valued digits. Arithmetic operations in this number system are performed using simple analog circuitry, in con...
Aryan Saed, Majid Ahmadi, Graham A. Jullien
CIE
2009
Springer
13 years 9 months ago
Functions Definable by Arithmetic Circuits
An arithmetic circuit is a labelled, directed, acyclic graph specifying a cascade of arithmetic and logical operations to be performed on sets of non-negative integers. In this pap...
Ian Pratt-Hartmann, Ivo Düntsch
IACR
2011
115views more  IACR 2011»
12 years 5 months ago
Pseudorandom Functions and Lattices
We give direct constructions of pseudorandom function (PRF) families based on conjectured hard lattice problems and learning problems. Our constructions are asymptotically effici...
Abhishek Banerjee, Chris Peikert, Alon Rosen
COCO
2009
Springer
96views Algorithms» more  COCO 2009»
13 years 12 months ago
Reconstruction of Generalized Depth-3 Arithmetic Circuits with Bounded Top Fan-in
In this paper we give reconstruction algorithms for depth-3 arithmetic circuits with k multiplication gates (also known as ΣΠΣ(k) circuits), where k = O(1). Namely, we give an ...
Zohar Shay Karnin, Amir Shpilka
GECCO
1999
Springer
13 years 9 months ago
Evolution by Means of Genetic Programming of Analog Circuits that Perform Digital Functions
This paper demonstrates the ability of genetic programming to evolve analog circuits that perform digital functions and mixed analog-digital circuits. The evolved circuits include...
Forrest H. Bennett III, John R. Koza, Martin A. Ke...