3 citations · 4 across the 10 of their papers we have counts for
7 papers · 1 filter
The Influence Function of Transport-based Quantiles
Alberto González-Sanz, Shunan Sheng, Bohan Wu +1
Transport-based quantiles extend univariate quantiles to multivariate distributions via optimal transport. We study the influence function of the transport quantile map $\mathbf{Q}…
The Threshold Breakdown Point
Tianjun Ke, Marco Avella Medina
We introduce a novel approach to finite sample robustness that avoids the pessimism of traditional breakdown analyses. We define the threshold breakdown point, the smallest contami…
Breakdown properties of optimal transport maps: general transportation costs
Alberto Gonzalez-Sanz, Marco Avella Medina
Two recent works, Avella-Medina and González-Sanz (2026) and Passeggeri and Paindaveine (2026), studied the robustness of the optimal transport map through its breakdown point, i.e…
Differentially Private Inference for Longitudinal Linear Regression
Getoar Sopa, Marco Avella Medina, Cynthia Rush
Differential Privacy (DP) provides a rigorous framework for releasing statistics while protecting individual information present in a dataset. Although substantial progress has bee…
Statistical Guarantees for Data-driven Posterior Tempering
Ruchira Ray, Marco Avella Medina, Cynthia Rush
Posterior tempering reduces the influence of the likelihood in the calculation of the posterior by raising the likelihood to a fractional power . The resulting power posterior -…
A theoretical framework for M-posteriors: frequentist guarantees and robustness properties
Juraj Marusic, Marco Avella Medina, Cynthia Rush
We provide a theoretical framework for a wide class of generalized posteriors that can be viewed as the natural Bayesian posterior counterpart of the class of M-estimators in the f…
Asymptotics for power posterior mean estimation
Ruchira Ray, Marco Avella Medina, Cynthia Rush
Power posteriors "robustify" standard Bayesian inference by raising the likelihood to a constant fractional power, effectively downweighting its influence in the calculation of the…