Author

Zoraida F. Rico

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Preprint Oct 2026

Finite-Sample Bounds for Fr\'echet Means of Dependent Data in Metric Spaces with Curvature Bounded Above

We prove finite-sample risk bounds for empirical quadratic and power Fr\'echet means in geodesic metric spaces with curvature bounded above for observations with arbitrary joint law. We compare the sample with exchangeable copies in which one observation is redrawn independently of the original sample and the others mo...

Zoraida F. Rico, C. Schötz · 0 citations

Preprint Sep 2026

Robust dimension-free estimation of simple random tensors: optimal guarantees under heavy tails and adversarial contamination

This work proposes the first robust estimator achieving near-optimal dimension-free statistical rates in this setting, and extends the trimmed-mean framework underlying recent advances in robust mean and covariance estimation to arbitrary tensor order.

R. Oliveira, Zoraida F. Rico, Philip Thompson · 0 citations