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19952026
most citedExplainable Machine Learning for Scientific Insights and Discoveries

1k citations

Showing 2019Show all

7 papers · 1 filter

physics.comp-ph2019★ 50 cited

Semi-Lagrangian lattice Boltzmann method for compressible flows

Dominik Wilde, Andreas Krämer, Dirk Reith +1

This work thoroughly investigates a semi-Lagrangian lattice Boltzmann (SLLBM) solver for compressible flows. In contrast to other LBM for compressible flows, the vertices are organ…

physics.gen-ph2019★ 1 cited

Quantum Gravity Wormholes and Topological Teleporter

Igor Nikitin

The question of a possibility of opening a wormhole due to the deformation of the equation of state of the matter caused by quantum gravity effects is considered. As a wormhole env…

cs.LG2019★ 1k cited

Explainable Machine Learning for Scientific Insights and Discoveries

Ribana Roscher, Bastian Bohn, Marco F. Duarte +1

Machine learning methods have been remarkably successful for a wide range of application areas in the extraction of essential information from data. An exciting and relatively rece…

math.NA2019★ 5 cited

The recovery of ridge functions on the hypercube suffers from the curse of dimensionality

Benjamin Doerr, Sebastian Mayer

A multivariate ridge function is a function of the form , where is univariate and . We show that the recovery of an un…

math.NA2019★ 15 cited

A Geometrical Method for Low-Dimensional Representations of Simulations

Rodrigo Iza-Teran, Jochen Garcke

We propose a new data analysis approach for the efficient post-processing of bundles of finite element data from numerical simulations. The approach is based on the mathematical pr…

stat.ML2019★ 806 cited

Informed Machine Learning -- A Taxonomy and Survey of Integrating Knowledge into Learning Systems

Laura von Rueden, Sebastian Mayer, Katharina Beckh +11

Despite its great success, machine learning can have its limits when dealing with insufficient training data. A potential solution is the additional integration of prior knowledge…