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» Algorithms for trigonometric polynomials
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COCO
2006
Springer
118views Algorithms» more  COCO 2006»
15 years 4 months ago
Learning Monotone Decision Trees in Polynomial Time
We give an algorithm that learns any monotone Boolean function f : {-1, 1}n {-1, 1} to any constant accuracy, under the uniform distribution, in time polynomial in n and in the de...
Ryan O'Donnell, Rocco A. Servedio
ICCAD
2008
IEEE
170views Hardware» more  ICCAD 2008»
15 years 10 months ago
A polynomial time approximation scheme for timing constrained minimum cost layer assignment
Abstract— As VLSI technology enters the nanoscale regime, interconnect delay becomes the bottleneck of circuit performance. Compared to gate delays, wires are becoming increasing...
Shiyan Hu, Zhuo Li, Charles J. Alpert
ISSAC
2007
Springer
163views Mathematics» more  ISSAC 2007»
15 years 7 months ago
POSIX threads polynomials(PTPol): a scalable implementation of univariate arithmetic operations
In this paper, we describe the design of a C library named PTPol implementing arithmetic operations for univariate polynomials and report on practical experiments showing the rele...
Mohab Safey El Din, Philippe Trebuchet
107
Voted
HPCS
2009
IEEE
15 years 4 months ago
FFT-Based Dense Polynomial Arithmetic on Multi-cores
We report efficient implementation techniques for FFT-based dense multivariate polynomial arithmetic over finite fields, targeting multi-cores. We have extended a preliminary study...
Marc Moreno Maza, Yuzhen Xie
COCO
2009
Springer
96views Algorithms» more  COCO 2009»
15 years 7 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