Sciweavers

69 search results - page 6 / 14
» The nearest polynomial of lower degree
Sort
View
CIE
2010
Springer
14 years 9 days ago
Circuit Complexity and Multiplicative Complexity of Boolean Functions
In this note, we use lower bounds on Boolean multiplicative complexity to prove lower bounds on Boolean circuit complexity. We give a very simple proof of a 7n/3 − c lower bound ...
Arist Kojevnikov, Alexander S. Kulikov
COCO
2003
Springer
91views Algorithms» more  COCO 2003»
14 years 22 days ago
Extremal properties of polynomial threshold functions
In this paper we give new extremal bounds on polynomial threshold function (PTF) representations of Boolean functions. Our results include the following: • Almost every Boolean ...
Ryan O'Donnell, Rocco A. Servedio
DCC
2010
IEEE
13 years 2 months ago
Parameter choices and a better bound on the list size in the Guruswami-Sudan algorithm for algebraic geometry codes
Abstract. Given an algebraic geometry code CL(D, P), the GuruswamiSudan algorithm produces a list of all codewords in CL(D, P) within a specified distance of a received word. The i...
Nathan Drake, Gretchen L. Matthews
JACM
2000
119views more  JACM 2000»
13 years 7 months ago
A subdivision-based algorithm for the sparse resultant
Multivariate resultants generalize the Sylvester resultant of two polynomials and characterize the solvability of a polynomial system. They also reduce the computation of all comm...
John F. Canny, Ioannis Z. Emiris
TC
2008
13 years 7 months ago
Hardware Implementation Trade-Offs of Polynomial Approximations and Interpolations
This paper examines the hardware implementation trade-offs when evaluating functions via piecewise polynomial approximations and interpolations for precisions of up to 24 bits. In ...
Dong-U Lee, Ray C. C. Cheung, Wayne Luk, John D. V...