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Gradient-based optimization methods implemented on distributed computing architectures are increasingly used to tackle large-scale machine learning applications. A key bottleneck in such distributed systems is the high communication…

分布式、并行与集群计算 · 计算机科学 2024-06-11 Xiaoge Deng , Dongsheng Li , Tao Sun , Xicheng Lu

Stochastic optimization problems often involve data distributions that change in reaction to the decision variables. This is the case for example when members of the population respond to a deployed classifier by manipulating their features…

最优化与控制 · 数学 2020-12-15 Dmitriy Drusvyatskiy , Lin Xiao

We consider large scale distributed optimization over a set of edge devices connected to a central server, where the limited communication bandwidth between the server and edge devices imposes a significant bottleneck for the optimization…

最优化与控制 · 数学 2021-12-28 Yujie Tang , Vikram Ramanathan , Junshan Zhang , Na Li

This work provides the first finite-time convergence guarantees for linearly constrained stochastic bilevel optimization using only first-order methods, requiring solely gradient information without any Hessian computations or second-order…

最优化与控制 · 数学 2025-11-18 Cac Phan , Kai Wang

Practical optimization problems may contain different kinds of difficulties that are often not tractable if one relies on a particular optimization method. Different optimization approaches offer different strengths that are good at…

神经与进化计算 · 计算机科学 2024-07-08 Ankur Sinha , Dhaval Pujara , Hemant Kumar Singh

Motivated by distributed statistical learning over uncertain communication networks, we study distributed stochastic optimization by networked nodes to cooperatively minimize a sum of convex cost functions. The network is modeled by a…

系统与控制 · 电气工程与系统科学 2025-01-03 Yan Chen , Alexander L. Fradkov , Keli Fu , Xiaozheng Fu , Tao Li

We consider stochastic unconstrained bilevel optimization problems when only the first-order gradient oracles are available. While numerous optimization methods have been proposed for tackling bilevel problems, existing methods either tend…

最优化与控制 · 数学 2023-01-27 Jeongyeol Kwon , Dohyun Kwon , Stephen Wright , Robert Nowak

In the last few years, various communication compression techniques have emerged as an indispensable tool helping to alleviate the communication bottleneck in distributed learning. However, despite the fact biased compressors often show…

机器学习 · 计算机科学 2024-01-17 Aleksandr Beznosikov , Samuel Horváth , Peter Richtárik , Mher Safaryan

Distributed optimization methods for large-scale machine learning suffer from a communication bottleneck. It is difficult to reduce this bottleneck while still efficiently and accurately aggregating partial work from different machines. In…

机器学习 · 计算机科学 2015-07-06 Chenxin Ma , Virginia Smith , Martin Jaggi , Michael I. Jordan , Peter Richtárik , Martin Takáč

In this paper we consider a distributed optimization scenario in which a set of agents has to solve a convex optimization problem with separable cost function, local constraint sets and a coupling inequality constraint. We propose a novel…

系统与控制 · 计算机科学 2018-04-25 Ivano Notarnicola , Giuseppe Notarstefano

Bilevel optimization problems are receiving increasing attention in machine learning as they provide a natural framework for hyperparameter optimization and meta-learning. A key step to tackle these problems is the efficient computation of…

机器学习 · 统计学 2025-05-20 Riccardo Grazzi , Massimiliano Pontil , Saverio Salzo

Communication cost is one major bottleneck for the scalability for distributed learning. One approach to reduce the communication cost is to compress the gradient during communication. However, directly compressing the gradient decelerates…

分布式、并行与集群计算 · 计算机科学 2021-08-05 Hanlin Tang , Yao Li , Ji Liu , Ming Yan

We study the decentralized consensus and stochastic optimization problems with compressed communications over static directed graphs. We propose an iterative gradient-based algorithm that compresses messages according to a desired…

最优化与控制 · 数学 2022-04-19 Mohammad Taha Toghani , César A. Uribe

Distributed learning methods have gained substantial momentum in recent years, with communication overhead often emerging as a critical bottleneck. Gradient compression techniques alleviate communication costs but involve an inherent…

机器学习 · 计算机科学 2025-07-09 Ze'ev Zukerman , Bassel Hamoud , Kfir Y. Levy

Resource allocation is a fundamental problem in Industrial Internet of Things (IIoT) systems, in which devices work together under limited communication bandwidth to complete diverse tasks. This paper proposes a communication-efficient…

最优化与控制 · 数学 2026-05-26 Yuzhu Duan , Ziwen Yang , Xiaoming Duan , Shanying Zhu

Bilevel optimization, a well-established field for modeling hierarchical decision-making problems, has recently intersected with sustainability studies and practices, resulting in a series of works focusing on bilevel optimization problems…

最优化与控制 · 数学 2026-04-07 Giulia Caselli , Manuel Iori , Ivana Ljubić

Optimal control of obstacle problems arises in a wide range of applications and is computationally challenging due to its nonsmoothness, nonlinearity, and bilevel structure. Classical numerical approaches rely on mesh-based discretization…

最优化与控制 · 数学 2026-01-08 Yongcun Song , Shangzhi Zeng , Jin Zhang , Lvgang Zhang

In this paper, we consider the unconstrained distributed optimization problem, in which the exchange of information in the network is captured by a directed graph topology, thus, nodes can only communicate with their neighbors.…

系统与控制 · 电气工程与系统科学 2023-12-07 Apostolos I. Rikos , Wei Jiang , Themistoklis Charalambous , Karl H. Johansson

Distributed optimization is the standard way of speeding up machine learning training, and most of the research in the area focuses on distributed first-order, gradient-based methods. Yet, there are settings where some…

机器学习 · 计算机科学 2025-11-03 Matin Ansaripour , Shayan Talaei , Giorgi Nadiradze , Dan Alistarh

Bilevel optimization reveals the inner structure of otherwise oblique optimization problems, such as hyperparameter tuning, neural architecture search, and meta-learning. A common goal in bilevel optimization is to minimize a…

最优化与控制 · 数学 2026-04-29 Lesi Chen , Jing Xu , Jingzhao Zhang