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Ianis Hammani

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#machine learning Preprint Oct 2026

From Global to Tail Convergence: Dynamics of $\alpha$-Stable Score-Based Generative Models

A non-asymptotic convergence analysis for scale-preserving $\alpha$-stable generative dynamics, covering both compactly supported and power-law targets, identifies tail-index matching as a principled mechanism behind the ability of stable generative models to capture extreme events.

Ianis Hammani, Claire Boyer · 0 citations