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High cost of training time caused by multi-step adversarial example generation is a major challenge in adversarial training. Previous methods try to reduce the computational burden of adversarial training using single-step adversarial…

机器学习 · 计算机科学 2021-02-09 Lehui Xie , Yaopeng Wang , Jia-Li Yin , Ximeng Liu

In this paper, we study the problem of distributed multi-agent optimization over a network, where each agent possesses a local cost function that is smooth and strongly convex. The global objective is to find a common solution that…

最优化与控制 · 数学 2020-03-11 Shi Pu , Angelia Nedić

This paper proposes several explicit and implicit multistep frequency response optimized integrators considering first or second order derivative. A prediction-based method aiming at accelerating a novel power system transient simulation…

系统与控制 · 电气工程与系统科学 2021-02-16 Sheng Lei , Alexander Flueck

We introduce a memory- and compute-efficient method for low-communication distributed training. Existing methods reduce communication by performing multiple local updates between infrequent global synchronizations. We demonstrate that their…

机器学习 · 计算机科学 2025-09-29 Anastasiia Filippova , Angelos Katharopoulos , David Grangier , Ronan Collobert

In modern large-scale systems with sensor networks and IoT devices it is essential to collaboratively solve complex problems while utilizing network resources efficiently. In our paper we present three distributed optimization algorithms…

系统与控制 · 电气工程与系统科学 2025-04-24 Apostolos I. Rikos , Wei Jiang , Themistoklis Charalambous , Karl H. Johansson

Stochastic gradient descent type methods are ubiquitous in machine learning, but they are only applicable to the optimization of differentiable functions. Proximal algorithms are more general and applicable to nonsmooth functions. We…

最优化与控制 · 数学 2025-05-20 Laurent Condat , Elnur Gasanov , Peter Richtárik

With an increasing demand for training powers for deep learning algorithms and the rapid growth of computation resources in data centers, it is desirable to dynamically schedule different distributed deep learning tasks to maximize resource…

机器学习 · 计算机科学 2019-05-03 Haibin Lin , Hang Zhang , Yifei Ma , Tong He , Zhi Zhang , Sheng Zha , Mu Li

This study presents a distributed gradient-based approach to solve system optimal dynamic traffic assignment (SODTA) formulated based on the cell transmission model. The algorithm distributes SODTA into local sub-problems, who find optimal…

最优化与控制 · 数学 2021-12-30 Mehrzad Mehrabipour , Ali Hajbabaie

This paper investigates accelerating the convergence of distributed optimization algorithms on non-convex problems. We propose a distributed primal-dual stochastic gradient descent~(SGD) equipped with "powerball" method to accelerate. We…

最优化与控制 · 数学 2021-10-15 Shengjun Zhang , Colleen P. Bailey

In distributed optimization, a large number of machines alternate between local computations and communication with a coordinating server. Communication, which can be slow and costly, is the main bottleneck in this setting. To reduce this…

机器学习 · 计算机科学 2026-04-03 Laurent Condat , Ivan Agarský , Peter Richtárik

We study gradient descent (GD) with a constant stepsize for $\ell_2$-regularized logistic regression with linearly separable data. Classical theory suggests small stepsizes to ensure monotonic reduction of the optimization objective,…

机器学习 · 统计学 2025-11-04 Jingfeng Wu , Pierre Marion , Peter Bartlett

We propose a new approach to learned optimization where we represent the computation of an optimizer's update step using a neural network. The parameters of the optimizer are then learned by training on a set of optimization tasks with the…

计算机视觉与模式识别 · 计算机科学 2023-06-29 Erik Gärtner , Luke Metz , Mykhaylo Andriluka , C. Daniel Freeman , Cristian Sminchisescu

The vast majority of deep models use multiple gradient signals, typically corresponding to a sum of multiple loss terms, to update a shared set of trainable weights. However, these multiple updates can impede optimal training by pulling the…

机器学习 · 计算机科学 2020-10-15 Zhao Chen , Jiquan Ngiam , Yanping Huang , Thang Luong , Henrik Kretzschmar , Yuning Chai , Dragomir Anguelov

We propose a new technique that boosts the convergence of training generative adversarial networks. Generally, the rate of training deep models reduces severely after multiple iterations. A key reason for this phenomenon is that a deep…

机器学习 · 统计学 2018-06-15 Atsushi Nitanda , Taiji Suzuki

We consider speeding up stochastic gradient descent (SGD) by parallelizing it across multiple workers. We assume the same data set is shared among $N$ workers, who can take SGD steps and coordinate with a central server. While it is…

分布式、并行与集群计算 · 计算机科学 2021-10-28 Artin Spiridonoff , Alex Olshevsky , Ioannis Ch. Paschalidis

This paper addresses a class of constrained optimization problems over networks in which local cost functions and constraints can be nonconvex. We propose an asynchronous distributed optimization algorithm, relying on the centralized Method…

最优化与控制 · 数学 2018-12-11 Francesco Farina , Andrea Garulli , Antonio Giannitrapani , Giuseppe Notarstefano

In recent years, as data and problem sizes have increased, distributed learning has become an essential tool for training high-performance models. However, the communication bottleneck, especially for high-dimensional data, is a challenge.…

最优化与控制 · 数学 2025-04-28 Dmitry Bylinkin , Aleksandr Beznosikov

Stochastic gradient descent (SGD) with stochastic momentum is popular in nonconvex stochastic optimization and particularly for the training of deep neural networks. In standard SGD, parameters are updated by improving along the path of the…

机器学习 · 计算机科学 2021-06-08 Jun-Kun Wang , Chi-Heng Lin , Jacob Abernethy

Decentralized solutions to finite-sum minimization are of significant importance in many signal processing, control, and machine learning applications. In such settings, the data is distributed over a network of arbitrarily-connected nodes…

机器学习 · 计算机科学 2019-11-14 Ran Xin , Soummya Kar , Usman A. Khan

We consider a distributed stochastic optimization problem that is solved by a decentralized network of agents with only local communication between neighboring agents. The goal of the whole system is to minimize a global objective function…

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