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ICIC
2007
Springer
13 years 11 months ago
Quantum Integration Error on Some Classes of Multivariate Functions
Abstract. We study the approximation of the integration of multivariate functions classes in the quantum model of computation. We first obtain a lower bound of the n-th minimal qu...
Peixin Ye, Qing He
JC
2008
128views more  JC 2008»
13 years 4 months ago
Lattice rule algorithms for multivariate approximation in the average case setting
We study multivariate approximation for continuous functions in the average case setting. The space of d variate continuous functions is equipped with the zero mean Gaussian measu...
Frances Y. Kuo, Ian H. Sloan, Henryk Wozniakowski
AUTOMATICA
2008
108views more  AUTOMATICA 2008»
13 years 5 months ago
Closed-loop identification of multivariable systems: With or without excitation of all references?
The accuracy of plant parameters estimated in closed-loop operation is investigated for a class of multivariable systems and for the situation where only some of the reference inp...
Ljubisa Miskovic, Alireza Karimi, Dominique Bonvin...
MOC
2002
118views more  MOC 2002»
13 years 4 months ago
The error bounds and tractability of quasi-Monte Carlo algorithms in infinite dimension
Dimensionally unbounded problems are frequently encountered in practice, such as in simulations of stochastic processes, in particle and light transport problems and in the problem...
Fred J. Hickernell, Xiaoqun Wang
STOC
1991
ACM
84views Algorithms» more  STOC 1991»
13 years 8 months ago
Self-Testing/Correcting for Polynomials and for Approximate Functions
The study of self-testing/correcting programs was introduced in [8] in order to allow one to use program P to compute function f without trusting that P works correctly. A self-te...
Peter Gemmell, Richard J. Lipton, Ronitt Rubinfeld...