JC
2006
13 years 11 months ago
2006
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...
JC
2006
13 years 11 months ago
2006
JC
2006
13 years 11 months ago
2006
JC
2006
13 years 11 months ago
2006
We study the problem of multivariate integration over Rd with integrands of the form f(x)d(x) where d is a probability density function. Practical problems of this form occur comm...
JC
2006
13 years 11 months ago
2006
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...
JC
2006
13 years 11 months ago
2006
JC
2006
13 years 11 months ago
2006
We give a correspondence between two notions of complexity for real numbers and functions: poly-time computability according to Ko and a notion that arises naturally when one cons...
JC
2006
13 years 11 months ago
2006
Say that Y has the strong random anticupping property if there is a set A such that for every Martin-L
JC
2006
13 years 11 months ago
2006
We study the optimal approximation of the solution of an operator equation A(u) = f by four types of mappings: a) linear mappings of rank n; b) n-term approximation with respect t...
JC
2006
13 years 11 months ago
2006