Exploration of non-symmetric cost functions affecting curvature in Dress groups, suggesting new insights into geometry.
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.
No takes yet. Share an insight, caveat, or question.
Barth et al. (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: