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ARITH
2007
IEEE
15 years 8 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
137
Voted
COCO
2010
Springer
149views Algorithms» more  COCO 2010»
15 years 7 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»
15 years 4 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...
142
Voted
STOC
1996
ACM
132views Algorithms» more  STOC 1996»
15 years 8 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...
166
Voted
ESA
1999
Springer
148views Algorithms» more  ESA 1999»
15 years 8 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