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Keno Jann Büscher, Jan Philipp Degel and Jan Oellerich
This paper provides a comprehensive overview of approaches to the determination of isocontours and isosurfaces from given data sets. Different algorithms are reported in the literature for this purpose, which originate from various application areas, suc...
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Fatima Antarou Ba and Michael Quellmalz
We consider the numerical solution of the discrete multi-marginal optimal transport (MOT) by means of the Sinkhorn algorithm. In general, the Sinkhorn algorithm suffers from the curse of dimensionality with respect to the number of marginals. If the MOT ...
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Jesús F. Espinoza, Rosalía Hernández-Amador, Héctor A. Hernández-Hernández and Beatriz Ramonetti-Valencia
In this paper, we present an algorithm to compute the filtered generalized Cech complex for a finite collection of disks in the plane, which do not necessarily have the same radius. The key step behind the algorithm is to calculate the minimum scale fact...
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Stefan Klus and Patrick Gelß
Interest in machine learning with tensor networks has been growing rapidly in recent years. We show that tensor-based methods developed for learning the governing equations of dynamical systems from data can, in the same way, be used for supervised learn...
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