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» Extremal properties of polynomial threshold functions
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COCO
2003
Springer
91views Algorithms» more  COCO 2003»
13 years 9 months 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
JCAM
2010
82views more  JCAM 2010»
12 years 11 months ago
Menke points on the real line and their connection to classical orthogonal polynomials
Abstract. We investigate the properties of extremal point systems on the real line consisting of two interlaced sets of points solving a modified minimum energy problem. We show th...
P. Mathur, J. S. Brauchart, Edward B. Saff
IJON
2007
184views more  IJON 2007»
13 years 4 months ago
Convex incremental extreme learning machine
Unlike the conventional neural network theories and implementations, Huang et al. [Universal approximation using incremental constructive feedforward networks with random hidden n...
Guang-Bin Huang, Lei Chen
BMCBI
2008
149views more  BMCBI 2008»
13 years 4 months ago
Evolution of biological sequences implies an extreme value distribution of type I for both global and local pairwise alignment s
Background: Confidence in pairwise alignments of biological sequences, obtained by various methods such as Blast or Smith-Waterman, is critical for automatic analyses of genomic d...
Olivier Bastien, Eric Maréchal
APPROX
2010
Springer
148views Algorithms» more  APPROX 2010»
13 years 5 months ago
Learning and Lower Bounds for AC0 with Threshold Gates
In 2002 Jackson et al. [JKS02] asked whether AC0 circuits augmented with a threshold gate at the output can be efficiently learned from uniform random examples. We answer this ques...
Parikshit Gopalan, Rocco A. Servedio