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» On discrete norms of polynomials
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COCO
2003
Springer
91views Algorithms» more  COCO 2003»
14 years 3 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
SODA
2012
ACM
240views Algorithms» more  SODA 2012»
12 years 8 days ago
Constructing high order elements through subspace polynomials
Every finite field has many multiplicative generators. However, finding one in polynomial time is an important open problem. In fact, even finding elements of high order has n...
Qi Cheng, Shuhong Gao, Daqing Wan
ADCM
2000
57views more  ADCM 2000»
13 years 9 months ago
Polynomial frames on the sphere
We introduce a class of polynomial frames suitable for analyzing data on the surface of the unit sphere of a Euclidean space. Our frames consist of polynomials, but are well local...
Hrushikesh Narhar Mhaskar, Francis J. Narcowich, J...
TNN
2008
128views more  TNN 2008»
13 years 9 months ago
Nonnegative Matrix Factorization in Polynomial Feature Space
Abstract--Plenty of methods have been proposed in order to discover latent variables (features) in data sets. Such approaches include the principal component analysis (PCA), indepe...
Ioan Buciu, Nikos Nikolaidis, Ioannis Pitas
DCC
2005
IEEE
14 years 9 months ago
Real, Tight Frames with Maximal Robustness to Erasures
Motivated by the use of frames for robust transmission over the Internet, we present a first systematic construction of real tight frames with maximum robustness to erasures. We a...
Jelena Kovacevic, Markus Püschel