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math.ST2025
Consistency and inconsistency in -means clustering
Moïse Blanchard, Moïse Blanchard, Adam Quinn Jaffe +1
A celebrated result of Pollard proves asymptotic consistency for -means clustering when the population distribution has finite variance. In this work, we point out that the popu…
math.ST2025
Fréchet Mean Set Estimation in the Hausdorff Metric, via Relaxation
Moise Blanchard, Adam Quinn Jaffe
This work resolves the following question in non-Euclidean statistics: Is it possible to consistently estimate the Fréchet mean set of an unknown population distribution, with res…