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ARITH
2007
IEEE
14 years 2 months ago
Efficient polynomial L-approximations
We address the problem of computing a good floating-point-coefficient polynomial approximation to a function, with respect to the supremum norm. This is a key step in most process...
Nicolas Brisebarre, Sylvain Chevillard
COCO
2010
Springer
149views Algorithms» more  COCO 2010»
14 years 1 months ago
The Gaussian Surface Area and Noise Sensitivity of Degree-d Polynomial Threshold Functions
Abstract. We prove asymptotically optimal bounds on the Gaussian noise sensitivity of degree-d polynomial threshold functions. These bounds translate into optimal bounds on the Gau...
Daniel M. Kane
CORR
2008
Springer
84views Education» more  CORR 2008»
13 years 10 months ago
Efficiently Testing Sparse GF(2) Polynomials
We give the first algorithm that is both query-efficient and time-efficient for testing whether an unknown function f : {0, 1}n {-1, 1} is an s-sparse GF(2) polynomial versus -far ...
Ilias Diakonikolas, Homin K. Lee, Kevin Matulef, R...
STOC
1996
ACM
132views Algorithms» more  STOC 1996»
14 years 2 months ago
Approximability and Nonapproximability Results for Minimizing Total Flow Time on a Single Machine
We consider the problem of scheduling n jobs that are released over time on a single machine in order to minimize the total ow time. This problem is well-known to be NPcomplete, a...
Hans Kellerer, Thomas Tautenhahn, Gerhard J. Woegi...
ESA
1999
Springer
148views Algorithms» more  ESA 1999»
14 years 2 months ago
Approximation Schemes for Scheduling on Uniformly Related and Identical Parallel Machines
We give a polynomial approximation scheme for the problem of scheduling on uniformly related parallel machines for a large class of objective functions that depend only on the mac...
Leah Epstein, Jiri Sgall