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SIAMJO
2002
73views more  SIAMJO 2002»
13 years 4 months ago
Nonlinearly Constrained Best Approximation in Hilbert Spaces: The Strong CHIP and the Basic Constraint Qualification
We study best approximation problems with nonlinear constraints in Hilbert spaces. The strong "conical hull intersection property" (CHIP) and the "basic constraint q...
Chong Li, Xiao-Qing Jin
ICDE
2009
IEEE
135views Database» more  ICDE 2009»
14 years 6 months ago
Space-Constrained Gram-Based Indexing for Efficient Approximate String Search
Abstract-- Answering approximate queries on string collections is important in applications such as data cleaning, query relaxation, and spell checking, where inconsistencies and e...
Alexander Behm, Shengyue Ji, Chen Li, Jiaheng Lu
FOCM
2011
117views more  FOCM 2011»
12 years 11 months ago
Accuracy and Stability of Computing High-order Derivatives of Analytic Functions by Cauchy Integrals
Abstract High-order derivatives of analytic functions are expressible as Cauchy integrals over circular contours, which can very effectively be approximated, e.g., by trapezoidal s...
Folkmar Bornemann
ADCM
2006
74views more  ADCM 2006»
13 years 4 months ago
Linearly constrained reconstruction of functions by kernels with applications to machine learning
This paper investigates the approximation of multivariate functions from data via linear combinations of translates of a positive definite kernel from a reproducing kernel Hilbert...
Robert Schaback, J. Werner