Earlier definitions of equivalence relations, Cauchy sequences, and metric spaces were replaced but could usefully be revived according to this historical analysis.
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The paper delivers a chronological history of Fréchet distances connecting early abstract set theory to curve metrics, optimal transport, and the FID metric in generative models.
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The history of three wrong definitions
Earlier definitions of equivalence relations, Cauchy sequences, and metric spaces were replaced but could usefully be revived according to this historical analysis.
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A Brief History of Fr\'echet Distances: From Curves and Probability Laws to FID
The paper delivers a chronological history of Fréchet distances connecting early abstract set theory to curve metrics, optimal transport, and the FID metric in generative models.