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相关论文: Faster Adaptive Decentralized Learning Algorithms

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Distributed optimization and learning algorithms are designed to operate over large scale networks enabling processing of vast amounts of data effectively and efficiently. One of the main challenges for ensuring a smooth learning process in…

系统与控制 · 电气工程与系统科学 2026-01-21 Apostolos I. Rikos , Nicola Bastianello , Themistoklis Charalambous , Karl H. Johansson

Stochastic Gradient Descent (SGD) and its variants are the most used algorithms in machine learning applications. In particular, SGD with adaptive learning rates and momentum is the industry standard to train deep networks. Despite the…

机器学习 · 统计学 2020-07-29 Xiaoyu Li , Francesco Orabona

We propose Adaptive Compressed Gradient Descent (AdaCGD) - a novel optimization algorithm for communication-efficient training of supervised machine learning models with adaptive compression level. Our approach is inspired by the recently…

机器学习 · 计算机科学 2022-11-02 Maksim Makarenko , Elnur Gasanov , Rustem Islamov , Abdurakhmon Sadiev , Peter Richtarik

Accelerated gradient-based methods are being extensively used for solving non-convex machine learning problems, especially when the data points are abundant or the available data is distributed across several agents. Two of the prominent…

机器学习 · 计算机科学 2021-10-04 Kushal Chakrabarti , Nikhil Chopra

Decentralized optimization enables multiple devices to learn a global machine learning model while each individual device only has access to its local dataset. By avoiding the need for training data to leave individual users' devices, it…

机器学习 · 计算机科学 2026-04-22 Ziqin Chen , Zuang Wang , Yongqiang Wang

Privacy protection and nonconvexity are two challenging problems in decentralized optimization and learning involving sensitive data. Despite some recent advances addressing each of the two problems separately, no results have been reported…

最优化与控制 · 数学 2022-12-16 Yongqiang Wang , Tamer Basar

This article reports an algorithm for multi-agent distributed optimization problems with a common decision variable, local linear equality and inequality constraints and set constraints with convergence rate guarantees.…

系统与控制 · 电气工程与系统科学 2022-11-17 Vivek Khatana , Murti V. Salapaka

Adaptive gradient methods have attracted much attention of machine learning communities due to the high efficiency. However their acceleration effect in practice, especially in neural network training, is hard to analyze, theoretically. The…

最优化与控制 · 数学 2020-06-15 Xunpeng Huang , Hao Zhou , Runxin Xu , Zhe Wang , Lei Li

In this paper, we study the decentralized optimization problem of minimizing a finite sum of continuously differentiable and possibly nonconvex functions over a fixed-connected undirected network. We propose a unified decentralized…

最优化与控制 · 数学 2026-04-14 Hao Wu , Liping Wang

We present adaptive gradient methods (both basic and accelerated) for solving convex composite optimization problems in which the main part is approximately smooth (a.k.a. $(\delta, L)$-smooth) and can be accessed only via a (potentially…

最优化与控制 · 数学 2024-06-11 Anton Rodomanov , Xiaowen Jiang , Sebastian Stich

Existing decentralized stochastic optimization methods assume the lower-level loss function is strongly convex and the stochastic gradient noise has finite variance. These strong assumptions typically are not satisfied in real-world machine…

机器学习 · 计算机科学 2026-05-26 Xinwen Zhang , Yihan Zhang , Heng Liang , Hongchang Gao

Distributed stochastic non-convex optimization problems have recently received attention due to the growing interest of signal processing, computer vision, and natural language processing communities in applications deployed over…

系统与控制 · 电气工程与系统科学 2024-10-14 Yiyue Chen , Abolfazl Hashemi , Haris Vikalo

In this two-part work, we propose an algorithmic framework for solving non-convex problems whose objective function is the sum of a number of smooth component functions plus a convex (possibly non-smooth) or/and smooth (possibly non-convex)…

最优化与控制 · 数学 2019-07-24 Sandeep Kumar , Ketan Rajawat , Daniel P. Palomar

In recent years, even though Stochastic Gradient Descent (SGD) and its variants are well-known for training neural networks, it suffers from limitations such as the lack of theoretical guarantees, vanishing gradients, and excessive…

最优化与控制 · 数学 2022-02-17 Junxiang Wang , Hongyi Li , Liang Zhao

We design a new adaptive learning algorithm for misclassification cost problems that attempt to reduce the cost of misclassified instances derived from the consequences of various errors. Our algorithm (adaptive cost sensitive learning -…

机器学习 · 计算机科学 2021-11-16 Ohad Volk , Gonen Singer

This paper studies decentralized optimization problem $f(\mathbf{x})=\frac{1}{m}\sum_{i=1}^m f_i(\mathbf{x})$, where each local function has the form of $f_i(\mathbf{x}) = {\mathbb E}\left[F(\mathbf{x};{\boldsymbol \xi}_i)\right]$ which is…

最优化与控制 · 数学 2025-09-29 Luo Luo , Xue Cui , Tingkai Jia , Cheng Chen

The minimax problems arise throughout machine learning applications, ranging from adversarial training and policy evaluation in reinforcement learning to AUROC maximization. To address the large-scale data challenges across multiple clients…

机器学习 · 计算机科学 2023-10-06 Xidong Wu , Jianhui Sun , Zhengmian Hu , Aidong Zhang , Heng Huang

Consider composite nonconvex optimization problems where the objective function consists of a smooth nonconvex term (with Lipschitz-continuous gradient) and a convex (possibly nonsmooth) term. Existing parameter-free methods for such…

最优化与控制 · 数学 2025-10-08 Zilong Ye , Shiqian Ma , Junfeng Yang , Danqing Zhou

We propose ADOM - an accelerated method for smooth and strongly convex decentralized optimization over time-varying networks. ADOM uses a dual oracle, i.e., we assume access to the gradient of the Fenchel conjugate of the individual loss…

最优化与控制 · 数学 2021-02-19 Dmitry Kovalev , Egor Shulgin , Peter Richtárik , Alexander Rogozin , Alexander Gasnikov

Adaptive optimization methods such as AdaGrad, RMSprop and Adam have been proposed to achieve a rapid training process with an element-wise scaling term on learning rates. Though prevailing, they are observed to generalize poorly compared…

机器学习 · 计算机科学 2019-04-22 Liangchen Luo , Yuanhao Xiong , Yan Liu , Xu Sun