no code implementations • 3 Apr 2024 • Daniel Potts, Laura Weidensager
We propose two algorithms for boosting random Fourier feature models for approximating high-dimensional functions.
no code implementations • 4 Feb 2024 • Kseniya Akhalaya, Franziska Nestler, Daniel Potts
In small dimensional settings the Fast Fourier Transform (FFT) and related methods are a powerful tool in order to deal with the considered basis functions.
no code implementations • 14 Oct 2021 • Daniel Potts, Michael Schmischke
We demonstrate the applicability of this procedure on the well-known forest fires data set from the UCI machine learning repository.
2 code implementations • 25 Mar 2021 • Daniel Potts, Michael Schmischke
The advantage of this method is the interpretability of the approximation, i. e., the ability to rank the importance of the attribute interactions or the variable couplings.
1 code implementation • 20 Oct 2020 • Felix Bartel, Daniel Potts, Michael Schmischke
From there we propose a fast matrix-vector multiplication, the grouped Fourier transform, for high-dimensional grouped index sets.
Numerical Analysis Numerical Analysis 65T, 42B05
no code implementations • 20 Dec 2019 • Daniel Potts, Manfred Tasche
We present novel error estimates for NFFT with compactly supported, continuous window functions and derive rules for convenient choice from the parameters involved in NFFT.
Numerical Analysis Numerical Analysis 65T50, 94A12, 42A10
1 code implementation • 6 Dec 2019 • Daniel Potts, Michael Schmischke
In this paper we propose a method for the approximation of high-dimensional functions over finite intervals with respect to complete orthonormal systems of polynomials.
Numerical Analysis Numerical Analysis
no code implementations • 14 Aug 2018 • Dominik Alfke, Daniel Potts, Martin Stoll, Toni Volkmer
The graph Laplacian is a standard tool in data science, machine learning, and image processing.