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JC
2006
68views more  JC 2006»
15 years 6 months ago
Monte Carlo approximation of weakly singular integral operators
We study the randomized approximation of weakly singular integral operators. For a suitable class of kernels having a standard type of singularity and being otherwise of finite sm...
Stefan Heinrich
JC
2006
87views more  JC 2006»
15 years 6 months ago
Exact cubature for a class of functions of maximum effective dimension
We consider high dimensional integration in a broad class of functions where all elements have maximum effective dimension. We show that there exists an exact cubature with only t...
Shu Tezuka, Anargyros Papageorgiou
DAM
2007
84views more  DAM 2007»
15 years 6 months ago
Estimates of covering numbers of convex sets with slowly decaying orthogonal subsets
Covering numbers of precompact symmetric convex subsets of Hilbert spaces are investigated. Lower bounds are derived for sets containing orthogonal subsets with norms of their ele...
Vera Kurková, Marcello Sanguineti
JMLR
2006
79views more  JMLR 2006»
15 years 6 months ago
Estimation of Gradients and Coordinate Covariation in Classification
We introduce an algorithm that simultaneously estimates a classification function as well as its gradient in the supervised learning framework. The motivation for the algorithm is...
Sayan Mukherjee, Qiang Wu
JMLR
2006
97views more  JMLR 2006»
15 years 6 months ago
Learning Coordinate Covariances via Gradients
We introduce an algorithm that learns gradients from samples in the supervised learning framework. An error analysis is given for the convergence of the gradient estimated by the ...
Sayan Mukherjee, Ding-Xuan Zhou