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» The Complexity of Computing the Hilbert Polynomial of Smooth...
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JC
2007
130views more  JC 2007»
13 years 5 months ago
On the complexity of deciding connectedness and computing Betti numbers of a complex algebraic variety
We extend the lower bounds on the complexity of computing Betti numbers proved in [6] to complex algebraic varieties. More precisely, we first prove that the problem of deciding ...
Peter Scheiblechner
JC
2006
105views more  JC 2006»
13 years 5 months ago
On the complexity of the resolvent representation of some prime differential ideals
We prove upper bounds on the order and degree of the polynomials involved in a resolvent representation of the prime differential ideal associated with a polynomial differential s...
Lisi D'Alfonso, Gabriela Jeronimo, Pablo Solern&oa...
JC
2011
87views more  JC 2011»
13 years 22 days ago
Lower bounds for the complexity of linear functionals in the randomized setting
Abstract. Hinrichs [3] recently studied multivariate integration defined over reproducing kernel Hilbert spaces in the randomized setting and for the normalized error criterion. I...
Erich Novak, Henryk Wozniakowski
FOCS
2007
IEEE
14 years 3 days ago
On the Hardness and Smoothed Complexity of Quasi-Concave Minimization
In this paper, we resolve the smoothed and approximative complexity of low-rank quasi-concave minimization, providing both upper and lower bounds. As an upper bound, we provide th...
Jonathan A. Kelner, Evdokia Nikolova