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MICS
2007
57views more  MICS 2007»
13 years 9 months ago
Pseudozero Set of Real Multivariate Polynomials
The pseudozero set of a system P of polynomials in n variables is the subset of Cn consisting of the union of the zeros of all polynomial systems Q that are near to P in a suitable...
Stef Graillat
COCOON
2007
Springer
14 years 4 months ago
"Resistant" Polynomials and Stronger Lower Bounds for Depth-Three Arithmetical Formulas
We derive quadratic lower bounds on the ∗-complexity of sum-of-products-of-sums (ΣΠΣ) formulas for classes of polynomials f that have too few partial derivatives for the techn...
Maurice J. Jansen, Kenneth W. Regan
STOC
2010
ACM
245views Algorithms» more  STOC 2010»
14 years 2 months ago
Weighted Geometric Set Cover via Quasi-Uniform Sampling
There has been much progress on geometric set cover problems, but most known techniques only apply to the unweighted setting. For the weighted setting, very few results are known ...
Kasturi Varadarajan
COLCOM
2007
IEEE
13 years 11 months ago
A random projection approach to subscription covering detection in publish/subscribe systems
Abstract—Subscription covering detection is useful to improving the performance of any publish/subscribe system. However, an exact solution to querying coverings among a large se...
Duc A. Tran, Thinh Nguyen
STOC
2005
ACM
132views Algorithms» more  STOC 2005»
14 years 10 months ago
Locally decodable codes with 2 queries and polynomial identity testing for depth 3 circuits
In this work we study two, seemingly unrelated, notions. Locally Decodable Codes (LDCs) are codes that allow the recovery of each message bit from a constant number of entries of ...
Zeev Dvir, Amir Shpilka