Finite Sample and Large Deviations Analysis of Stochastic Gradient Algorithm with Correlated Noise

Fuente: arXiv
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Auteurs principaux: Yin, George, Krishnamurthy, Vikram
Format: Preprint
Publié: 2024
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author Yin, George
Krishnamurthy, Vikram
author_facet Yin, George
Krishnamurthy, Vikram
contents We analyze the finite sample regret of a decreasing step size stochastic gradient algorithm. We assume correlated noise and use a perturbed Lyapunov function as a systematic approach for the analysis. Finally we analyze the escape time of the iterates using large deviations theory.
format Preprint
id arxiv_https___arxiv_org_abs_2410_08449
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Finite Sample and Large Deviations Analysis of Stochastic Gradient Algorithm with Correlated Noise
Yin, George
Krishnamurthy, Vikram
Machine Learning
Systems and Control
We analyze the finite sample regret of a decreasing step size stochastic gradient algorithm. We assume correlated noise and use a perturbed Lyapunov function as a systematic approach for the analysis. Finally we analyze the escape time of the iterates using large deviations theory.
title Finite Sample and Large Deviations Analysis of Stochastic Gradient Algorithm with Correlated Noise
topic Machine Learning
Systems and Control
url https://arxiv.org/abs/2410.08449