3 papers
math.ST2026
Gradient-free stochastic optimization of derivatives under strong convexity
Arya Akhavan, Sirine Louati, Alexandre B. Tsybakov
We consider the problem of minimizing the -th order partial derivative of an unknown function along a fixed coordinate direction , based on noisy queri…
math.ST2025
Estimation of discrete distributions with high probability under -divergence
Sirine Louati
We investigate the high-probability estimation of discrete distributions from an \iid sample under -divergence loss. Although the minimax risk in expectation is well understoo…
math.ST2025
Performance of the empirical median for location estimation in heteroscedastic settings
Sirine Louati
We investigate the performance of the empirical median for location estimation in heteroscedastic settings. Specifically, we consider independent symmetric real-valued random varia…