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相关论文: Faster Adaptive Decentralized Learning Algorithms

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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

Min-max saddle point games have recently been intensely studied, due to their wide range of applications, including training Generative Adversarial Networks (GANs). However, most of the recent efforts for solving them are limited to special…

最优化与控制 · 数学 2021-08-10 Babak Barazandeh , Tianjian Huang , George Michailidis

Decentralized optimization is a powerful paradigm that finds applications in engineering and learning design. This work studies decentralized composite optimization problems with non-smooth regularization terms. Most existing gradient-based…

最优化与控制 · 数学 2019-10-29 Sulaiman A. Alghunaim , Kun Yuan , Ali H. Sayed

We investigate the finite-time analysis of finding ($\delta,\epsilon$)-stationary points for nonsmooth nonconvex objectives in decentralized stochastic optimization. A set of agents aim at minimizing a global function using only their local…

最优化与控制 · 数学 2024-06-04 Emre Sahinoglu , Shahin Shahrampour

Decentralized learning algorithms empower interconnected devices to share data and computational resources to collaboratively train a machine learning model without the aid of a central coordinator. In the case of heterogeneous data…

机器学习 · 计算机科学 2023-01-16 Matteo Zecchin , Marios Kountouris , David Gesbert

In this paper we propose several adaptive gradient methods for stochastic optimization. Unlike AdaGrad-type of methods, our algorithms are based on Armijo-type line search and they simultaneously adapt to the unknown Lipschitz constant of…

In this report, we study decentralized stochastic optimization to minimize a sum of smooth and strongly convex cost functions when the functions are distributed over a directed network of nodes. In contrast to the existing work, we use…

机器学习 · 计算机科学 2020-07-24 Muhammad I. Qureshi , Ran Xin , Soummya Kar , Usman A. Khan

This paper studies some asymptotic properties of adaptive algorithms widely used in optimization and machine learning, and among them Adagrad and Rmsprop, which are involved in most of the blackbox deep learning algorithms. Our setup is the…

机器学习 · 统计学 2020-12-15 Sébastien Gadat , Ioana Gavra

It is well known that we need to choose the hyper-parameters in Momentum, AdaGrad, AdaDelta, and other alternative stochastic optimizers. While in many cases, the hyper-parameters are tuned tediously based on experience becoming more of an…

机器学习 · 计算机科学 2022-04-05 Jun Lu

Adaptive gradient optimizers (AdaGrad), which dynamically adjust the learning rate based on iterative gradients, have emerged as powerful tools in deep learning. These adaptive methods have significantly succeeded in various deep learning…

最优化与控制 · 数学 2024-12-31 Ruinan Jin , Xiaoyu Wang , Baoxiang Wang

We introduce Adam, an algorithm for first-order gradient-based optimization of stochastic objective functions, based on adaptive estimates of lower-order moments. The method is straightforward to implement, is computationally efficient, has…

机器学习 · 计算机科学 2017-01-31 Diederik P. Kingma , Jimmy Ba

In stochastic optimization, a common tool to deal sequentially with large sample is to consider the well-known stochastic gradient algorithm. Nevertheless, since the stepsequence is the same for each direction, this can lead to bad results…

最优化与控制 · 数学 2023-03-03 Antoine Godichon-Baggioni , Pierre Tarrago

This paper proposes a novel federated algorithm that leverages momentum-based variance reduction with adaptive learning to address non-convex settings across heterogeneous data. We intend to minimize communication and computation overhead,…

机器学习 · 计算机科学 2024-12-17 Dipanwita Thakur , Antonella Guzzo , Giancarlo Fortino , Sajal K. Das

Adaptive gradient algorithms perform gradient-based updates using the history of gradients and are ubiquitous in training deep neural networks. While adaptive gradient methods theory is well understood for minimization problems, the…

最优化与控制 · 数学 2020-12-29 Mingrui Liu , Youssef Mroueh , Jerret Ross , Wei Zhang , Xiaodong Cui , Payel Das , Tianbao Yang

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

In this work, we introduce ADAPD, $\textbf{A}$ $\textbf{D}$ecentr$\textbf{A}$lized $\textbf{P}$rimal-$\textbf{D}$ual algorithmic framework for solving non-convex and smooth consensus optimization problems over a network of distributed…

最优化与控制 · 数学 2023-02-07 Gabriel Mancino-Ball , Yangyang Xu , Jie Chen

This paper deals with nonconvex stochastic optimization problems in deep learning and provides appropriate learning rates with which adaptive learning rate optimization algorithms, such as Adam and AMSGrad, can approximate a stationary…

最优化与控制 · 数学 2020-11-24 Hideaki Iiduka

Sharpness aware minimization (SAM) optimizer has been extensively explored as it can generalize better for training deep neural networks via introducing extra perturbation steps to flatten the landscape of deep learning models. Integrating…

机器学习 · 计算机科学 2023-03-02 Hao Sun , Li Shen , Qihuang Zhong , Liang Ding , Shixiang Chen , Jingwei Sun , Jing Li , Guangzhong Sun , Dacheng Tao

We study decentralized optimization where multiple agents minimize the average of their (strongly) convex, smooth losses over a communication graph. Convergence of the existing decentralized methods generally hinges on an apriori, proper…

最优化与控制 · 数学 2025-08-01 Ilya Kuruzov , Xiaokai Chen , Gesualdo Scutari , Alexander Gasnikov

Decentralized bilevel optimization has garnered significant attention due to its critical role in solving large-scale machine learning problems. However, existing methods often rely on prior knowledge of problem parameters-such as…

最优化与控制 · 数学 2025-10-29 Zhiwei Zhai , Wenjing Yan , Ying-Jun Angela Zhang