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Adaptive gradient-based optimization methods such as \textsc{Adagrad}, \textsc{Rmsprop}, and \textsc{Adam} are widely used in solving large-scale machine learning problems including deep learning. A number of schemes have been proposed in…

机器学习 · 计算机科学 2019-05-30 Parvin Nazari , Davoud Ataee Tarzanagh , George Michailidis

In this paper, we design two compressed decentralized algorithms for solving nonconvex stochastic optimization under two different scenarios. Both algorithms adopt a momentum technique to achieve fast convergence and a message-compression…

In this paper, we design a novel distributed learning algorithm using stochastic compressed communications. In detail, we pursue a modular approach, merging ADMM and a gradient-based approach, benefiting from the robustness of the former…

最优化与控制 · 数学 2025-07-01 Guido Carnevale , Nicola Bastianello

Modern adaptive optimization methods, such as Adam and its variants, have emerged as the most widely used tools in deep learning over recent years. These algorithms offer automatic mechanisms for dynamically adjusting the update step based…

机器学习 · 计算机科学 2025-02-12 Son Nguyen , Bo Liu , Lizhang Chen , Qiang Liu

In this work we focus our attention on distributed optimization problems in the context where the communication time between the server and the workers is non-negligible. We obtain novel methods supporting bidirectional compression (both…

最优化与控制 · 数学 2023-05-23 Kaja Gruntkowska , Alexander Tyurin , Peter Richtárik

Driven by the need to solve increasingly complex optimization problems in signal processing and machine learning, there has been increasing interest in understanding the behavior of gradient-descent algorithms in non-convex environments.…

最优化与控制 · 数学 2019-07-04 Stefan Vlaski , Ali H. Sayed

Adaptive gradient methods, e.g. \textsc{Adam}, have achieved tremendous success in machine learning. Scaling the learning rate element-wisely by a certain form of second moment estimate of gradients, such methods are able to attain rapid…

机器学习 · 计算机科学 2022-02-10 Yizhou Wang , Yue Kang , Can Qin , Huan Wang , Yi Xu , Yulun Zhang , Yun Fu

In this paper, we study the convergence of the Adaptive Moment Estimation (Adam) algorithm under unconstrained non-convex smooth stochastic optimizations. Despite the widespread usage in machine learning areas, its theoretical properties…

最优化与控制 · 数学 2023-11-06 Yusu Hong , Junhong Lin

Adaptive gradient methods have shown excellent performances for solving many machine learning problems. Although multiple adaptive gradient methods were recently studied, they mainly focus on either empirical or theoretical aspects and also…

最优化与控制 · 数学 2022-05-13 Feihu Huang , Junyi Li , Heng Huang

We study distributed optimization problems over a network when the communication between the nodes is constrained, and so information that is exchanged between the nodes must be quantized. Recent advances using the distributed gradient…

最优化与控制 · 数学 2019-05-14 Thinh T. Doan , Siva Theja Maguluri , Justin Romberg

Adam-type optimizers, as a class of adaptive moment estimation methods with the exponential moving average scheme, have been successfully used in many applications of deep learning. Such methods are appealing due to the capability on…

机器学习 · 计算机科学 2020-12-17 Bingxin Zhou , Xuebin Zheng , Junbin Gao

Machine learning algorithms aim to find patterns from observations, which may include some noise, especially in robotics domain. To perform well even with such noise, we expect them to be able to detect outliers and discard them when…

机器学习 · 计算机科学 2020-03-04 Wendyam Eric Lionel Ilboudo , Taisuke Kobayashi , Kenji Sugimoto

Although adaptive optimization algorithms such as Adam show fast convergence in many machine learning tasks, this paper identifies a problem of Adam by analyzing its performance in a simple non-convex synthetic problem, showing that Adam's…

机器学习 · 计算机科学 2020-05-06 Wenjie Li , Zhaoyang Zhang , Xinjiang Wang , Ping Luo

Time-series forecasting often faces challenges from non-stationarity, particularly distributional drift, where the data distribution evolves over time. This dynamic behavior can undermine the effectiveness of adaptive optimizers, such as…

机器学习 · 计算机科学 2026-03-12 Yuze Dong , Jinsong Wu

Adam is the important optimization algorithm to guarantee efficiency and accuracy for training many important tasks such as BERT and ImageNet. However, Adam is generally not compatible with information (gradient) compression technology.…

分布式、并行与集群计算 · 计算机科学 2020-08-31 Hanlin Tang , Shaoduo Gan , Samyam Rajbhandari , Xiangru Lian , Ji Liu , Yuxiong He , Ce Zhang

We study distributed optimization problems over a network when the communication between the nodes is constrained, and so information that is exchanged between the nodes must be quantized. This imperfect communication poses a fundamental…

最优化与控制 · 数学 2018-10-30 Thinh T. Doan , Siva Theja Maguluri , Justin Romberg

Federated learning is a machine learning training paradigm that enables clients to jointly train models without sharing their own localized data. However, the implementation of federated learning in practice still faces numerous challenges,…

机器学习 · 计算机科学 2023-04-21 Yujia Wang , Lu Lin , Jinghui Chen

In this work, to efficiently help escape the stationary and saddle points, we propose, analyze, and generalize a stochastic strategy performed as an operator for a first-order gradient descent algorithm in order to increase the target…

机器学习 · 计算机科学 2022-05-23 Wei Zhang , Yu Bao

In this paper, we study unconstrained distributed optimization strongly convex problems, in which the exchange of information in the network is captured by a directed graph topology over digital channels that have limited capacity (and…

系统与控制 · 电气工程与系统科学 2023-09-12 Apostolos I. Rikos , Wei Jiang , Themistoklis Charalambous , Karl H. Johansson

This paper proposes a multi-scale method to design a continuous-time distributed algorithm for constrained convex optimization problems by using multi-agents with Markov switched network dynamics and noisy inter-agent communications. Unlike…

最优化与控制 · 数学 2021-03-02 Wei Ni , Xiaoli Wang