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arXiv · 2506.00590

Geometry and Dress groups with non-symmetric cost functions

Lukas Silvester Barth·Parvaneh Joharinad·Jürgen Jost·Walter Wenzel
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Abstract

A metric relation by definition is symmetric. Since many data sets are non-symmetric, in this paper we develop a systematic theory of non-symmetric cost functions. Betweenness relations play an important role. We also introduce the notion of a Dress group in the non-symmetric setting and indicate a notion of curvature.

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Lukas Silvester Barth, Parvaneh Joharinad, Jürgen Jost, Walter Wenzel. 2025-05-31. Geometry and Dress groups with non-symmetric cost functions. https://arxiv.org/abs/2506.00590

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