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JC
2008
128views more  JC 2008»
13 years 6 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
DAGSTUHL
2008
13 years 7 months ago
Complete Interval Arithmetic and its Implementation
: Let IIR be the set of closed and bounded intervals of real numbers. Arithmetic in IIR can be defined via the power set IPIR of real numbers. If divisors containing zero are exclu...
Ulrich W. Kulisch
RC
1998
92views more  RC 1998»
13 years 6 months ago
When Is the Product of Intervals Also an Interval?
Interval arithmetic is based on the fact that for intervals on the real line, the element-wise product of two intervals is also an interval. This property is not always true: e.g....
Olga Kosheleva, Piet G. Vroegindeweij
CIKM
2006
Springer
13 years 10 months ago
Evaluation by comparing result sets in context
Familiar evaluation methodologies for information retrieval (IR) are not well suited to the task of comparing systems in many real settings. These systems and evaluation methods m...
Paul Thomas, David Hawking
CORR
2007
Springer
69views Education» more  CORR 2007»
13 years 6 months ago
Lossless Representation of Graphs using Distributions
We consider complete graphs with edge weights and/or node weights taking values in some set. In the first part of this paper, we show that a large number of graphs are completely...
Mireille Boutin, Gregor Kemper