Search Results for author: Helmut Harbrecht

Found 5 papers, 2 papers with code

Samplet basis pursuit: Multiresolution scattered data approximation with sparsity constraints

no code implementations16 Jun 2023 Davide Baroli, Helmut Harbrecht, Michael Multerer

Leveraging on the sparse representation of kernel matrices in samplet coordinates, this approach converges faster than the fast iterative shrinkage thresholding algorithm and is feasible for large-scale data.

Data Compression Surface Reconstruction

Samplets: A new paradigm for data compression

no code implementations7 Jul 2021 Helmut Harbrecht, Michael Multerer

In this article, we introduce the concept of samplets by transferring the construction of Tausch-White wavelets to the realm of data.

Data Compression

Boosting quantum machine learning models with multi-level combination technique: Pople diagrams revisited

1 code implementation8 Aug 2018 Peter Zaspel, Bing Huang, Helmut Harbrecht, O. Anatole von Lilienfeld

Inspired by Pople diagrams popular in quantum chemistry, we introduce a hierarchical scheme, based on the multi-level combination (C) technique, to combine various levels of approximations made when calculating molecular energies within quantum chemistry.

Chemical Physics

A scalable H-matrix approach for the solution of boundary integral equations on multi-GPU clusters

1 code implementation20 Jun 2018 Helmut Harbrecht, Peter Zaspel

In this work, we consider the solution of boundary integral equations by means of a scalable hierarchical matrix approach on clusters equipped with graphics hardware, i. e. graphics processing units (GPUs).

Mathematical Software Distributed, Parallel, and Cluster Computing Numerical Analysis Numerical Analysis

A Fast Isogeometric BEM for the Three Dimensional Laplace- and Helmholtz Problems

no code implementations30 Aug 2017 Jürgen Dölz, Helmut Harbrecht, Stefan Kurz, Sebastian Schöps, Felix Wolf

We present an indirect higher order boundary element method utilising NURBS mappings for exact geometry representation and an interpolation-based fast multipole method for compression and reduction of computational complexity, to counteract the problems arising due to the dense matrices produced by boundary element methods.

Numerical Analysis 65M38 G.1.8; G.1.2

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