Search Results for author: Rolf Krause

Found 12 papers, 2 papers with code

Parallel Trust-Region Approaches in Neural Network Training: Beyond Traditional Methods

no code implementations21 Dec 2023 Ken Trotti, Samuel A. Cruz Alegría, Alena Kopaničáková, Rolf Krause

We propose to train neural networks (NNs) using a novel variant of the ``Additively Preconditioned Trust-region Strategy'' (APTS).

Construction of Grid Operators for Multilevel Solvers: a Neural Network Approach

no code implementations13 Sep 2021 Claudio Tomasi, Rolf Krause

In this paper, we investigate the combination of multigrid methods and neural networks, starting from a Finite Element discretization of an elliptic PDE.

Training of deep residual networks with stochastic MG/OPT

1 code implementation9 Aug 2021 Cyrill von Planta, Alena Kopanicakova, Rolf Krause

We train deep residual networks with a stochastic variant of the nonlinear multigrid method MG/OPT.

Globally Convergent Multilevel Training of Deep Residual Networks

no code implementations15 Jul 2021 Alena Kopaničáková, Rolf Krause

We propose a globally convergent multilevel training method for deep residual networks (ResNets).

Learning atrial fiber orientations and conductivity tensors from intracardiac maps using physics-informed neural networks

no code implementations22 Feb 2021 Thomas Grandits, Simone Pezzuto, Francisco Sahli Costabal, Paris Perdikaris, Thomas Pock, Gernot Plank, Rolf Krause

In this work, we employ a recently developed approach, called physics informed neural networks, to learn the fiber orientations from electroanatomical maps, taking into account the physics of the electrical wave propagation.

A Multilevel Approach to Training

no code implementations28 Jun 2020 Vanessa Braglia, Alena Kopaničáková, Rolf Krause

Our multilevel training method constructs a multilevel hierarchy by reducing the number of samples.

A shortest-path based clustering algorithm for joint human-machine analysis of complex datasets

no code implementations31 Dec 2018 Diego Ulisse Pizzagalli, Santiago Fernandez Gonzalez, Rolf Krause

Clustering is a technique for the analysis of datasets obtained by empirical studies in several disciplines with a major application for biomedical research.

Clustering

Smart energy models for atomistic simulations using a DFT-driven multifidelity approach

no code implementations21 Aug 2018 Luca Messina, Alessio Quaglino, Alexandra Goryaeva, Mihai-Cosmin Marinica, Christophe Domain, Nicolas Castin, Giovanni Bonny, Rolf Krause

Machine-learning techniques such as artificial neural networks are usually employed to work around this limitation and extract the needed parameters from large databases of high-fidelity data, but the latter are often computationally expensive to produce.

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