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High-Probability Convergence for Composite and Distributed Stochastic Minimization and Variational Inequalities with Heavy-Tailed Noise.

, , , , , , , and . CoRR, (2023)

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The global rate of convergence for optimal tensor methods in smooth convex optimization, , , , , and . (2018)cite arxiv:1809.00382Comment: In the current version we present a translation into English of the main derivations, which first appeared on September 2, 2018 in Russian, extend the analysis from the case of strongly convex objective to the case of uniformly convex objectives and add the numerical analysis of our results.Partially Personalized Federated Learning: Breaking the Curse of Data Heterogeneity., , , and . CoRR, (2023)Clipped Stochastic Methods for Variational Inequalities with Heavy-Tailed Noise., , , , , and . NeurIPS, (2022)Extragradient Method: O(1/K) Last-Iterate Convergence for Monotone Variational Inequalities and Connections With Cocoercivity., , and . AISTATS, volume 151 of Proceedings of Machine Learning Research, page 366-402. PMLR, (2022)Local SGD: Unified Theory and New Efficient Methods., , and . AISTATS, volume 130 of Proceedings of Machine Learning Research, page 3556-3564. PMLR, (2021)Optimal Tensor Methods in Smooth Convex and Uniformly ConvexOptimization., , , , , and . COLT, volume 99 of Proceedings of Machine Learning Research, page 1374-1391. PMLR, (2019)Byzantine-Tolerant Methods for Distributed Variational Inequalities., , , , , , and . CoRR, (2023)On Primal and Dual Approaches for Distributed Stochastic Convex Optimization over Networks., , , , and . CDC, page 7435-7440. IEEE, (2019)Stochastic Optimization with Heavy-Tailed Noise via Accelerated Gradient Clipping., , and . NeurIPS, (2020)Secure Distributed Training at Scale., , , and . CoRR, (2021)