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JC
2010
55views more  JC 2010»
13 years 3 months ago
Dimension-wise integration of high-dimensional functions with applications to finance
We present a new general class of methods for the computation of high-dimensional integrals. The quadrature schemes result by truncation and discretization of the anchored-ANOVA d...
Michael Griebel, Markus Holtz
JC
2006
53views more  JC 2006»
13 years 5 months ago
The randomized information complexity of elliptic PDE
We study the information complexity in the randomized setting of solving a general elliptic PDE of order 2m in a smooth, bounded domain Q Rd with smooth coefficients and homogene...
Stefan Heinrich
JC
2006
61views more  JC 2006»
13 years 5 months ago
The discretized discrepancy principle under general source conditions
We discuss adaptive strategies for choosing regularization parameters in TikhonovPhillips regularization of discretized linear operator equations. Two rules turn out to be entirel...
Peter Mathé, Sergei V. Pereverzev
JC
2006
115views more  JC 2006»
13 years 5 months ago
Randomly shifted lattice rules on the unit cube for unbounded integrands in high dimensions
We study the problem of multivariate integration on the unit cube for unbounded integrands. Our study is motivated by problems in statistics and mathematical finance, where unboun...
Benjamin J. Waterhouse, Frances Y. Kuo, Ian H. Slo...
IVC
2000
188views more  IVC 2000»
13 years 5 months ago
Face recognition by statistical analysis of feature detectors
A successful face recognition system calculates similarity of face images based on the activation of multiscale and multiorientation Gabor kernels, but without utilizing any stati...
Peter Kalocsai, Christoph von der Malsburg, J. Hor...