Geometry and Dress groups with non-symmetric cost functions
Geometry and Dress groups with non-symmetric cost functions
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.
Lukas Silvester Barth、Parvaneh Joharinad、Jürgen Jost、Walter Wenzel
数学
Lukas Silvester Barth,Parvaneh Joharinad,Jürgen Jost,Walter Wenzel.Geometry and Dress groups with non-symmetric cost functions[EB/OL].(2025-05-31)[2025-07-16].https://arxiv.org/abs/2506.00590.点此复制
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