On tractability of approximation in special function spaces

M. Hegland, G. W. Wasilkowski

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


We consider approximation problems for a special space of d variate functions. We show that the problems have small number of active variables, as it has been postulated in the past using concentration of measure arguments. We also show that, depending on the norm for measuring the error, the problems are strongly polynomially or quasi-polynomially tractable even in the model of computation where functional evaluations have the cost exponential in the number of active variables.

Original languageEnglish
Pages (from-to)76-91
Number of pages16
JournalJournal of Complexity
Issue number1
StatePublished - Feb 2013


  • Multivariate approximation
  • Tractability

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Statistics and Probability
  • Numerical Analysis
  • General Mathematics
  • Control and Optimization
  • Applied Mathematics


Dive into the research topics of 'On tractability of approximation in special function spaces'. Together they form a unique fingerprint.

Cite this