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Vanilla SGD with Momentum Survives Heavy-Tailed Noise: Convergence Analysis without Gradient Clipping or Normalization

arXiv cs.LG · 2026-07-10 Cached

This paper provides the first comprehensive convergence analysis of vanilla SGD with momentum under heavy-tailed noise without gradient clipping or normalization, revealing inferior rates compared to clipped variants and supported by experiments on synthetic functions.

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