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Asynchronous distributed algorithms are a popular way to reduce synchronization costs in large-scale optimization, and in particular for neural network training. However, for nonsmooth and nonconvex objectives, few convergence guarantees…

最优化与控制 · 数学 2020-07-14 Vyacheslav Kungurtsev , Malcolm Egan , Bapi Chatterjee , Dan Alistarh

We study distributed stochastic convex optimization under the delayed gradient model where the server nodes perform parameter updates, while the worker nodes compute stochastic gradients. We discuss, analyze, and experiment with a setup…

机器学习 · 统计学 2015-08-21 Suvrit Sra , Adams Wei Yu , Mu Li , Alexander J. Smola

Asynchronous stochastic gradient descent (SGD) enables scalable distributed training but suffers from gradient staleness. Existing mitigation strategies, such as delay-adaptive learning rates and staleness-aware filtering, typically…

机器学习 · 计算机科学 2026-05-15 Tehila Dahan , Roie Reshef , Sharon Goldstein , Kfir Y. Levy

We develop and analyze an asynchronous algorithm for distributed convex optimization when the objective writes a sum of smooth functions, local to each worker, and a non-smooth function. Unlike many existing methods, our distributed…

最优化与控制 · 数学 2019-12-13 Konstantin Mishchenko , Franck Iutzeler , Jérôme Malick

Parallel stochastic gradient methods are gaining prominence in solving large-scale machine learning problems that involve data distributed across multiple nodes. However, obtaining unbiased stochastic gradients, which have been the focus of…

机器学习 · 计算机科学 2025-01-14 Ali Beikmohammadi , Sarit Khirirat , Sindri Magnússon

We analyze the convergence of gradient-based optimization algorithms that base their updates on delayed stochastic gradient information. The main application of our results is to the development of gradient-based distributed optimization…

最优化与控制 · 数学 2011-05-02 Alekh Agarwal , John C. Duchi

Delays and asynchrony are inevitable in large-scale machine-learning problems where communication plays a key role. As such, several works have extensively analyzed stochastic optimization with delayed gradients. However, as far as we are…

机器学习 · 计算机科学 2023-08-28 Arman Adibi , Aritra Mitra , Hamed Hassani

We build a theoretical framework for designing and understanding practical meta-learning methods that integrates sophisticated formalizations of task-similarity with the extensive literature on online convex optimization and sequential…

机器学习 · 计算机科学 2019-12-10 Mikhail Khodak , Maria-Florina Balcan , Ameet Talwalkar

In this paper, we design a novel distributed learning algorithm using stochastic compressed communications. In detail, we pursue a modular approach, merging ADMM and a gradient-based approach, benefiting from the robustness of the former…

最优化与控制 · 数学 2025-07-01 Guido Carnevale , Nicola Bastianello

We analyze (stochastic) gradient descent (SGD) with delayed updates on smooth quasi-convex and non-convex functions and derive concise, non-asymptotic, convergence rates. We show that the rate of convergence in all cases consists of two…

机器学习 · 计算机科学 2021-06-17 Sebastian U. Stich , Sai Praneeth Karimireddy

The performance of stochastic gradient descent (SGD) depends critically on how learning rates are tuned and decreased over time. We propose a method to automatically adjust multiple learning rates so as to minimize the expected error at any…

机器学习 · 统计学 2013-02-19 Tom Schaul , Sixin Zhang , Yann LeCun

Many distributed machine learning (ML) systems adopt the non-synchronous execution in order to alleviate the network communication bottleneck, resulting in stale parameters that do not reflect the latest updates. Despite much development in…

机器学习 · 计算机科学 2018-10-09 Wei Dai , Yi Zhou , Nanqing Dong , Hao Zhang , Eric P. Xing

We provide tight finite-time convergence bounds for gradient descent and stochastic gradient descent on quadratic functions, when the gradients are delayed and reflect iterates from $\tau$ rounds ago. First, we show that without stochastic…

最优化与控制 · 数学 2018-06-28 Yossi Arjevani , Ohad Shamir , Nathan Srebro

Asynchronous algorithms have attracted much attention recently due to the crucial demands on solving large-scale optimization problems. However, the accelerated versions of asynchronous algorithms are rarely studied. In this paper, we…

最优化与控制 · 数学 2018-02-28 Cong Fang , Yameng Huang , Zhouchen Lin

In scalable machine learning systems, model training is often parallelized over multiple nodes that run without tight synchronization. Most analysis results for the related asynchronous algorithms use an upper bound on the information…

机器学习 · 计算机科学 2022-04-12 Xuyang Wu , Sindri Magnusson , Hamid Reza Feyzmahdavian , Mikael Johansson

Federated learning (FL) was recently proposed to securely train models with data held over multiple locations (``clients'') under the coordination of a central server. Prolonged training times caused by slow clients may hinder the…

机器学习 · 计算机科学 2025-10-07 Charikleia Iakovidou , Kibaek Kim

We study the problem of meta-learning through the lens of online convex optimization, developing a meta-algorithm bridging the gap between popular gradient-based meta-learning and classical regularization-based multi-task transfer methods.…

机器学习 · 计算机科学 2019-05-17 Mikhail Khodak , Maria-Florina Balcan , Ameet Talwalkar

We propose a general framework for distributed stochastic optimization under delayed gradient models. In this setting, $n$ local agents leverage their own data and computation to assist a central server in minimizing a global objective…

最优化与控制 · 数学 2026-03-04 Xinran Zheng , Tara Javidi , Behrouz Touri

In this work, we consider constrained stochastic optimization problems under hidden convexity, i.e., those that admit a convex reformulation via non-linear (but invertible) map $c(\cdot)$. A number of non-convex problems ranging from…

最优化与控制 · 数学 2024-11-12 Ilyas Fatkhullin , Niao He , Yifan Hu

We consider the problem of asynchronous stochastic optimization, where an optimization algorithm makes updates based on stale stochastic gradients of the objective that are subject to an arbitrary (possibly adversarial) sequence of delays.…

最优化与控制 · 数学 2025-06-23 Amit Attia , Ofir Gaash , Tomer Koren
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