Fréchet regression in CAT(K) spaces is claimed to achieve Euclidean convergence rates, but the proofs contain unmatched tail exponents and an unsupported empirical-process bound, so the central rate claim fails as written.
Lectures on spaces of nonpositive curvature, volume 25
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Theoretical and Practical Analysis of Fr\'echet Regression via Comparison Geometry
Fréchet regression in CAT(K) spaces is claimed to achieve Euclidean convergence rates, but the proofs contain unmatched tail exponents and an unsupported empirical-process bound, so the central rate claim fails as written.