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Large scale convex-concave minimax problems arise in numerous applications, including game theory, robust training, and training of generative adversarial networks. Despite their wide applicability, solving such problems efficiently and…

机器学习 · 计算机科学 2022-09-26 Luofeng Liao , Li Shen , Jia Duan , Mladen Kolar , Dacheng Tao

Adam-type methods, the extension of adaptive gradient methods, have shown great performance in the training of both supervised and unsupervised machine learning models. In particular, Adam-type optimizers have been widely used empirically…

机器学习 · 计算机科学 2021-09-30 Zehao Dou , Yuanzhi Li

Bilevel optimization has been applied to a wide variety of machine learning models, and numerous stochastic bilevel optimization algorithms have been developed in recent years. However, most existing algorithms restrict their focus on the…

机器学习 · 计算机科学 2023-03-28 Hongchang Gao , Bin Gu , My T. Thai

In this work, we propose a distributed algorithm for stochastic non-convex optimization. We consider a worker-server architecture where a set of $K$ worker nodes (WNs) in collaboration with a server node (SN) jointly aim to minimize a…

In this paper, we study distributed stochastic optimization to minimize a sum of smooth and strongly-convex local cost functions over a network of agents, communicating over a strongly-connected graph. Assuming that each agent has access to…

机器学习 · 计算机科学 2019-04-11 Ran Xin , Anit Kumar Sahu , Usman A. Khan , Soummya Kar

Distributed optimization has a rich history. It has demonstrated its effectiveness in many machine learning applications, etc. In this paper we study a subclass of distributed optimization, namely decentralized optimization in a non-smooth…

By enabling the nodes or agents to solve small-sized subproblems to achieve coordination, distributed algorithms are favored by many networked systems for efficient and scalable computation. While for convex problems, substantial…

最优化与控制 · 数学 2022-08-24 Yu Yang , Qing-Shan Jia , Zhanbo Xu , Xiaohong Guan , Costas J. Spanos

In distributed training of deep neural networks, people usually run Stochastic Gradient Descent (SGD) or its variants on each machine and communicate with other machines periodically. However, SGD might converge slowly in training some deep…

机器学习 · 计算机科学 2022-10-14 Mingrui Liu , Zhenxun Zhuang , Yunwei Lei , Chunyang Liao

We propose a novel, efficient approach for distributed sparse learning in high-dimensions, where observations are randomly partitioned across machines. Computationally, at each round our method only requires the master machine to solve a…

机器学习 · 统计学 2016-05-26 Jialei Wang , Mladen Kolar , Nathan Srebro , Tong Zhang

In a multi-agent network, we consider the problem of minimizing an objective function that is expressed as the sum of private convex and smooth functions, and a (possibly) non-differentiable convex regularizer. We propose a novel…

最优化与控制 · 数学 2021-09-30 Yichuan Li , Nikolaos M. Freris , Petros Voulgaris , Dusan Stipanovic

The Adam optimizer, often used in Machine Learning for neural network training, corresponds to an underlying ordinary differential equation (ODE) in the limit of very small learning rates. This work shows that the classical Adam algorithm…

计算工程、金融与科学 · 计算机科学 2024-09-17 Abhinab Bhattacharjee , Andrey A. Popov , Arash Sarshar , Adrian Sandu

We propose communication-efficient distributed estimation and inference methods for the transelliptical graphical model, a semiparametric extension of the elliptical distribution in the high dimensional regime. In detail, the proposed…

机器学习 · 统计学 2016-12-30 Pan Xu , Lu Tian , Quanquan Gu

Adaptive gradient methods (AGMs) have become popular in optimizing the nonconvex problems in deep learning area. We revisit AGMs and identify that the adaptive learning rate (A-LR) used by AGMs varies significantly across the dimensions of…

机器学习 · 计算机科学 2019-09-12 Qianqian Tong , Guannan Liang , Jinbo Bi

We consider a decentralized learning problem, where a set of computing nodes aim at solving a non-convex optimization problem collaboratively. It is well-known that decentralized optimization schemes face two major system bottlenecks:…

机器学习 · 计算机科学 2019-11-04 Amirhossein Reisizadeh , Hossein Taheri , Aryan Mokhtari , Hamed Hassani , Ramtin Pedarsani

Modern realities and trends in learning require more and more generalization ability of models, which leads to an increase in both models and training sample size. It is already difficult to solve such tasks in a single device mode. This is…

最优化与控制 · 数学 2024-12-03 Dmitry Bylinkin , Kirill Degtyarev , Aleksandr Beznosikov

We study distributed big-data nonconvex optimization in multi-agent networks. We consider the (constrained) minimization of the sum of a smooth (possibly) nonconvex function, i.e., the agents' sum-utility, plus a convex (possibly) nonsmooth…

最优化与控制 · 数学 2018-09-03 Ivano Notarnicola , Ying Sun , Gesualdo Scutari , Giuseppe Notarstefano

We consider the setting of agents cooperatively minimizing the sum of local objectives plus a regularizer on a graph. This paper proposes a primal-dual method in consideration of three distinctive attributes of real-life multi-agent…

最优化与控制 · 数学 2023-12-11 Ziyi Yu , Nikolaos M. Freris

Adaptive gradient methods including Adam, AdaGrad, and their variants have been very successful for training deep learning models, such as neural networks. Meanwhile, given the need for distributed computing, distributed optimization…

机器学习 · 计算机科学 2021-09-08 Xiangyi Chen , Belhal Karimi , Weijie Zhao , Ping Li

In the training of neural networks, adaptive moment estimation (Adam) typically converges fast but exhibits suboptimal generalization performance. A widely accepted explanation for its defect in generalization is that it often tends to…

机器学习 · 计算机科学 2026-03-10 Tao Shi , Liangming Chen , Long Jin , Mengchu Zhou

Modern large scale machine learning applications require stochastic optimization algorithms to be implemented on distributed computational architectures. A key bottleneck is the communication overhead for exchanging information, such as…

分布式、并行与集群计算 · 计算机科学 2019-10-25 Zijie Yan