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math.ST2025
Robust Regression under Adversarial Contamination: Theory and Algorithms for the Welsch Estimator
Ilyes Hammouda, Mohamed Ndaoud, Abd-Krim Seghouane
Convex and penalized robust regression methods often suffer from a persistent bias induced by large outliers, limiting their effectiveness in adversarial or heavy-tailed settings.…
math.ST2025
Ask for More Than Bayes Optimal: A Theory of Indecisions for Selective Hypothesis Testing
Mohamed Ndaoud, Peter Radchenko, Bradley Rava
Selective classification is a powerful tool for automated decision-making in high-risk scenarios, allowing classifiers to act only when confident and abstain when uncertainty is hi…
math.ST2024
Adaptive Mean Estimation in the Hidden Markov sub-Gaussian Mixture Model
Vahe Karagulyan, Mohamed Ndaoud
We investigate the problem of center estimation in the high dimensional binary sub-Gaussian Mixture Model with Hidden Markov structure on the labels. We first study the limitations…