Research Group of Prof. Dr. J. Garcke
Institute for Numerical Simulation

  author = {Jochen Garcke},
  title = {A dimension adaptive sparse grid combination technique for
		  machine learning},
  booktitle = { Proceedings of the 13th Biennial Computational Techniques
		  and Applications Conference, CTAC-2006},
  year = {2007},
  editor = {Wayne Read and Jay W. Larson and A. J. Roberts},
  volume = {48},
  series = {ANZIAM J.},
  pages = {C725--C740},
  abstract = {We introduce a dimension adaptive sparse grid combination
		  technique for the machine learning problems of
		  classification and regression. A function over a
		  $d$-dimensional space, which assumedly describes the
		  relationship between the features and the response
		  variable, is reconstructed using a linear combination of
		  partial functions that possibly depend only on a subset of
		  all features. The partial functions are adaptively chosen
		  during the computational procedure. This approach
		  (approximately) identifies the \textsc{anova}-decomposition
		  of the underlying problem. Experiments on synthetic data,
		  where the structure is known, show the advantages of a
		  dimension adaptive combination technique in run time
		  behaviour, approximation errors, and interpretability. },
  annote = {other},
  file = {dimAdapCTAC.pdf:http\://},
  http = {},
  pdf = { 1}