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» On discrete norms of polynomials
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COMPGEOM
2007
ACM
14 years 1 months ago
Embeddings of surfaces, curves, and moving points in euclidean space
In this paper we show that dimensionality reduction (i.e., Johnson-Lindenstrauss lemma) preserves not only the distances between static points, but also between moving points, and...
Pankaj K. Agarwal, Sariel Har-Peled, Hai Yu
SIAMNUM
2010
120views more  SIAMNUM 2010»
13 years 4 months ago
Well Conditioned Spherical Designs for Integration and Interpolation on the Two-Sphere
A set XN of N points on the unit sphere is a spherical t-design if the average value of any polynomial of degree at most t over XN is equal to the average value of the polynomial o...
Congpei An, Xiaojun Chen, Ian H. Sloan, Robert S. ...
ICLP
2005
Springer
14 years 3 months ago
Polynomial Interpretations as a Basis for Termination Analysis of Logic Programs
Our goal is to study the feasibility of porting termination analysis techniques developed for one programming paradigm to another paradigm. In this paper, we show how to adapt ter...
Manh Thang Nguyen, Danny De Schreye
ISSAC
2009
Springer
184views Mathematics» more  ISSAC 2009»
14 years 4 months ago
An iterative method for calculating approximate GCD of univariate polynomials
We present an iterative algorithm for calculating approximate greatest common divisor (GCD) of univariate polynomials with the real coefficients. For a given pair of polynomials a...
Akira Terui
SODA
2010
ACM
171views Algorithms» more  SODA 2010»
14 years 7 months ago
Coresets and Sketches for High Dimensional Subspace Approximation Problems
We consider the problem of approximating a set P of n points in Rd by a j-dimensional subspace under the p measure, in which we wish to minimize the sum of p distances from each p...
Dan Feldman, Morteza Monemizadeh, Christian Sohler...