Preprints

Papers in Journals

• F. Bartel, D. Potts und M. Schmischke
  Grouped transformations and regularization in high-dimensional explainable ANOVA approximation
  SIAM Journal on Scientific Computing (accepted)
  arXiv, PDF
• D. Potts und M. Schmischke
  Interpretable transformed ANOVA approximation on the example of the prevention of forest fires
  Frontiers in Applied Mathematics and Statistics, 8, 795250, 2022
  DOI, arXiv, PDF
• D. Potts und M. Schmischke
  Learning multivariate functions with low-dimensional structures using polynomial bases
  Journal of Computational and Applied Mathematics 403, 113821, 2022
  DOI, arXiv, PDF
• D. Potts und M. Schmischke
  Interpretable approximation of high-dimensional data
  SIAM Journal on Mathematics of Data Science, 3 (4), 1301–1323, 2021
  DOI, arXiv, PDF, Software
• D. Potts und M. Schmischke
  Approximation of high-dimensional periodic functions with Fourier-based methods
  SIAM Journal on Numerical Analysis 59 (5), 2393-2429, 2021
  DOI, arXiv, PDF

Software

• Julia Package ANOVAapprox.jl
  GitHub Repository
• Julia Package GroupedTransforms.jl
  GitHub Repository
• Julia NFFT3 Interface NFFT3.jl
  GitHub Repository

Technical Reports

• M. Schmischke
  Nonequispaced Fast Fourier Transform (NFFT) Interface for Julia
  Technical Report
  arXiv, PDF

Theses

• M. Schmischke
  A Fourier approach to learning sparse additive models
  Master thesis