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High-Probability PL-SGD with Markovian Noise: Optimal Mixing and Tail Dependence

arXiv cs.LG · 2026-06-26 Cached

This paper provides optimal high-probability bounds for stochastic gradient descent under Markovian noise for PL-smooth objectives, closing gaps between expectation and high-probability guarantees and extending to heavy-tailed settings with matching lower bounds.

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