Search Results for author: Bernard Haasdonk

Found 10 papers, 5 papers with code

Universality and Optimality of Structured Deep Kernel Networks

no code implementations15 May 2021 Tizian Wenzel, Gabriele Santin, Bernard Haasdonk

In particular, we show that the use of special types of kernels yield models reminiscent of neural networks that are founded in the same theoretical framework of classical kernel methods, while enjoying many computational properties of deep neural networks.

Kernel methods for center manifold approximation and a data-based version of the Center Manifold Theorem

no code implementations1 Dec 2020 Bernard Haasdonk, Boumediene Hamzi, Gabriele Santin, Dominik Wittwar

We then use an apposite data-based kernel method to construct a suitable approximation of the manifold close to the equilibrium, which is compatible with our general error theory.

Biomechanical surrogate modelling using stabilized vectorial greedy kernel methods

no code implementations27 Apr 2020 Bernard Haasdonk, Tizian Wenzel, Gabriele Santin, Syn Schmitt

Greedy kernel approximation algorithms are successful techniques for sparse and accurate data-based modelling and function approximation.

A novel class of stabilized greedy kernel approximation algorithms: Convergence, stability & uniform point distribution

1 code implementation11 Nov 2019 Tizian Wenzel, Gabriele Santin, Bernard Haasdonk

Since the computation of an optimal selection of sampling points may be an infeasible task, one promising option is to use greedy methods.

Numerical Analysis Numerical Analysis

Deep recurrent Gaussian process with variational Sparse Spectrum approximation

1 code implementation27 Sep 2019 Roman Föll, Bernard Haasdonk, Markus Hanselmann, Holger Ulmer

In this paper we introduce several new Deep recurrent Gaussian process (DRGP) models based on the Sparse Spectrum Gaussian process (SSGP) and the improved version, called variational Sparse Spectrum Gaussian process (VSSGP).

Autonomous Driving Weather Forecasting

Kernel Methods for Surrogate Modeling

1 code implementation24 Jul 2019 Gabriele Santin, Bernard Haasdonk

Second, if a function is available only via measurements or a few function evaluation samples, kernel approximation techniques can provide function surrogates that allow global evaluation.

Numerical Analysis Numerical Analysis

Greedy regularized kernel interpolation

1 code implementation25 Jul 2018 Gabriele Santin, Dominik Wittwar, Bernard Haasdonk

Kernel based regularized interpolation is a well known technique to approximate a continuous multivariate function using a set of scattered data points and the corresponding function evaluations, or data values.

Numerical Analysis

Cannot find the paper you are looking for? You can Submit a new open access paper.