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We consider the problem of minimizing a convex function that is evolving according to unknown and possibly stochastic dynamics, which may depend jointly on time and on the decision variable itself. Such problems abound in the machine…

最优化与控制 · 数学 2023-05-30 Joshua Cutler , Dmitriy Drusvyatskiy , Zaid Harchaoui

Stochastic convex optimization algorithms are the most popular way to train machine learning models on large-scale data. Scaling up the training process of these models is crucial, but the most popular algorithm, Stochastic Gradient Descent…

机器学习 · 统计学 2018-10-30 Ashok Cutkosky , Robert Busa-Fekete

In this work, we introduce a learning model designed to meet the needs of applications in which computational resources are limited, and robustness and interpretability are prioritized. Learning problems can be formulated as constrained…

系统与控制 · 电气工程与系统科学 2025-09-26 Christos Mavridis , John Baras

Understanding the convergence performance of asynchronous stochastic gradient descent method (Async-SGD) has received increasing attention in recent years due to their foundational role in machine learning. To date, however, most of the…

机器学习 · 计算机科学 2020-09-02 Xin Zhang , Jia Liu , Zhengyuan Zhu

One of the most widely used methods for solving large-scale stochastic optimization problems is distributed asynchronous stochastic gradient descent (DASGD), a family of algorithms that result from parallelizing stochastic gradient descent…

最优化与控制 · 数学 2021-07-08 Zhengyuan Zhou , Panayotis Mertikopoulos , Nicholas Bambos , Peter W. Glynn , Yinyu Ye

Distributed machine learning has recently become a critical paradigm for training large models on vast datasets. We examine the stochastic optimization problem for deep learning within synchronous parallel computing environments under…

机器学习 · 计算机科学 2024-11-07 Yoni Choukroun , Shlomi Azoulay , Pavel Kisilev

When deploying machine learning solutions, they must satisfy multiple requirements beyond accuracy, such as fairness, robustness, or safety. These requirements are imposed during training either implicitly, using penalties, or explicitly,…

机器学习 · 计算机科学 2024-01-12 Ignacio Hounie , Alejandro Ribeiro , Luiz F. O. Chamon

Although the distributed machine learning methods can speed up the training of large deep neural networks, the communication cost has become the non-negligible bottleneck to constrain the performance. To address this challenge, the gradient…

机器学习 · 计算机科学 2022-01-25 An Xu , Zhouyuan Huo , Heng Huang

Existing asynchronous distributed optimization algorithms often use diminishing step-sizes that cause slow practical convergence, or use fixed step-sizes that depend on and decrease with an upper bound of the delays. Not only are such delay…

最优化与控制 · 数学 2024-11-08 Xuyang Wu , Changxin Liu , Sindri Magnusson , Mikael Johansson

We propose an optimization proxy in terms of iterative implicit gradient methods for solving constrained optimization problems with nonconvex loss functions. This framework can be applied to a broad range of machine learning settings,…

最优化与控制 · 数学 2025-10-14 Harshal D. Kaushik , Ming Jin

Motivated by large-scale optimization problems arising in the context of machine learning, there have been several advances in the study of asynchronous parallel and distributed optimization methods during the past decade. Asynchronous…

机器学习 · 计算机科学 2020-06-25 Mahmoud Assran , Arda Aytekin , Hamid Feyzmahdavian , Mikael Johansson , Michael Rabbat

This paper considers the decentralized convex optimization problem, which has a wide range of applications in large-scale machine learning, sensor networks, and control theory. We propose novel algorithms that achieve optimal computation…

机器学习 · 计算机科学 2023-10-11 Haishan Ye , Luo Luo , Ziang Zhou , Tong Zhang

We study the problem of minimizing the sum of potentially non-differentiable convex cost functions with partially overlapping dependences in an asynchronous manner, where communication in the network is not coordinated. We study the…

最优化与控制 · 数学 2021-02-17 Yankai Lin , Iman Shames , Dragan Nesic

We study optimization algorithms for the finite sum problems frequently arising in machine learning applications. First, we propose novel variants of stochastic gradient descent with a variance reduction property that enables linear…

机器学习 · 计算机科学 2017-07-06 Jakub Konečný

Driven by the need to solve increasingly complex optimization problems in signal processing and machine learning, there has been increasing interest in understanding the behavior of gradient-descent algorithms in non-convex environments.…

最优化与控制 · 数学 2019-07-04 Stefan Vlaski , Ali H. Sayed

Bilevel learning has gained prominence in machine learning, inverse problems, and imaging applications, including hyperparameter optimization, learning data-adaptive regularizers, and optimizing forward operators. The large-scale nature of…

最优化与控制 · 数学 2025-05-20 Mohammad Sadegh Salehi , Subhadip Mukherjee , Lindon Roberts , Matthias J. Ehrhardt

Despite remarkable achievements in artificial intelligence, the deployability of learning-enabled systems in high-stakes real-world environments still faces persistent challenges. For example, in safety-critical domains like autonomous…

人工智能 · 计算机科学 2023-12-19 Minjae Cho , Chuangchuang Sun

Background: Recent developments have made it possible to accelerate neural networks training significantly using large batch sizes and data parallelism. Training in an asynchronous fashion, where delay occurs, can make training even more…

机器学习 · 计算机科学 2020-02-14 Niv Giladi , Mor Shpigel Nacson , Elad Hoffer , Daniel Soudry

Asynchronous computation and gradient compression have emerged as two key techniques for achieving scalability in distributed optimization for large-scale machine learning. This paper presents a unified analysis framework for distributed…

最优化与控制 · 数学 2018-11-30 Sarit Khirirat , Hamid Reza Feyzmahdavian , Mikael Johansson

We consider stochastic optimization with delayed gradients where, at each time step $t$, the algorithm makes an update using a stale stochastic gradient from step $t - d_t$ for some arbitrary delay $d_t$. This setting abstracts asynchronous…

最优化与控制 · 数学 2021-11-16 Alon Cohen , Amit Daniely , Yoel Drori , Tomer Koren , Mariano Schain