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Approximate Gromov--Hausdorff continuity of magnitude and weighting

Yoshinaga, Masahiko
arXiv (OAI Expanded) · Papers
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05c5051f99metric-geometry
Magnitude gives an effective size of a finite metric space and is now used in several data-analysis settings. For such applications, it is natural to ask how magnitude behaves under Gromov-Hausdorff perturbations, including collisions of points. However, magnitude is nowhere continuous on finite met
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