Search Results for author: Daniel Potts

Found 8 papers, 3 papers with code

ANOVA-boosting for Random Fourier Features

no code implementations3 Apr 2024 Daniel Potts, Laura Weidensager

We propose two algorithms for boosting random Fourier feature models for approximating high-dimensional functions.

Fast and interpretable Support Vector Classification based on the truncated ANOVA decomposition

no code implementations4 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.

Interpretable transformed ANOVA approximation on the example of the prevention of forest fires

no code implementations14 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.

Attribute BIG-bench Machine Learning

Interpretable Approximation of High-Dimensional Data

2 code implementations25 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.

Attribute Vocal Bursts Intensity Prediction

Grouped Transformations and Regularization in High-Dimensional Explainable ANOVA Approximation

1 code implementation20 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

Uniform error estimates for nonequispaced fast Fourier transforms

no code implementations20 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

Learning multivariate functions with low-dimensional structures using polynomial bases

1 code implementation6 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

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