<bold>Basic Features of Conic Transformational High Dimensional </bold>Model Representation

Gundogar Z., Baykara N. A., Demiralp M.

International Conference on Numerical Analysis and Applied Mathematics, Rhodes, Greece, 19 - 25 September 2010, vol.1281, pp.1930-1931 identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1281
  • City: Rhodes
  • Country: Greece
  • Page Numbers: pp.1930-1931
  • Istanbul Technical University Affiliated: Yes

Abstract

The basic philosophy behind THDMR is to transform a multivariate function to another multivariate function such that the HDMR expansion of the new function is much more efficient. A previous work using affine transformation forms milestone to this work where a conic (affine plus quadratic) transformation is considered with an attempt to optimize its coefficients. Fundamental formulation has been completely based on that work although the derived formulae and the corresponding approximants in literature (Hermite - Pade) are completely different because of branch points.