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Adam has proven remarkable successful in training deep neural networks, but the mechanisms underlying its empirical successes and limitations remain underexplored. In this study, we demonstrate that the effectiveness of Adam stems largely…

机器学习 · 计算机科学 2025-07-10 Hanyang Peng , Shuang Qin , Yue Yu , Fangqing Jiang , Hui Wang , Wen Gao

Federated learning is a powerful distributed learning scheme that allows numerous edge devices to collaboratively train a model without sharing their data. However, training is resource-intensive for edge devices, and limited network…

机器学习 · 计算机科学 2024-10-25 Hui-Po Wang , Sebastian U. Stich , Yang He , Mario Fritz

Following the introduction of Adam, several novel adaptive optimizers for deep learning have been proposed. These optimizers typically excel in some tasks but may not outperform Adam uniformly across all tasks. In this work, we introduce…

机器学习 · 计算机科学 2024-06-18 Kaan Ozkara , Can Karakus , Parameswaran Raman , Mingyi Hong , Shoham Sabach , Branislav Kveton , Volkan Cevher

This paper provides the first tight convergence analyses for RMSProp and Adam in non-convex optimization under the most relaxed assumptions of coordinate-wise generalized smoothness and affine noise variance. We first analyze RMSProp, which…

机器学习 · 统计学 2025-03-11 Qi Zhang , Yi Zhou , Shaofeng Zou

Decentralized optimization methods enable on-device training of machine learning models without a central coordinator. In many scenarios communication between devices is energy demanding and time consuming and forms the bottleneck of the…

最优化与控制 · 数学 2020-11-04 Dmitry Kovalev , Anastasia Koloskova , Martin Jaggi , Peter Richtarik , Sebastian U. Stich

We introduce AdamS, a simple yet effective alternative to Adam for large language model (LLM) pretraining and post-training. By leveraging a novel denominator, i.e., the root of weighted sum of squares of the momentum and the current…

机器学习 · 计算机科学 2025-05-23 Huishuai Zhang , Bohan Wang , Luoxin Chen

A rich body of prior work has highlighted the existence of communication bottlenecks in synchronous data-parallel training. To alleviate these bottlenecks, a long line of recent work proposes gradient and model compression methods. In this…

分布式、并行与集群计算 · 计算机科学 2021-07-01 Saurabh Agarwal , Hongyi Wang , Shivaram Venkataraman , Dimitris Papailiopoulos

Despite superior training outcomes, adaptive optimization methods such as Adam, Adagrad or RMSprop have been found to generalize poorly compared to Stochastic gradient descent (SGD). These methods tend to perform well in the initial portion…

机器学习 · 计算机科学 2017-12-21 Nitish Shirish Keskar , Richard Socher

Compression techniques are essential in distributed optimization and learning algorithms with high-dimensional model parameters, particularly in scenarios with tight communication constraints such as limited bandwidth. This article presents…

最优化与控制 · 数学 2025-10-27 Souvik Das , Subhrakanti Dey

Adaptive optimizers, most notably Adam, have become the default standard for training large-scale neural networks such as Transformers. These methods maintain running estimates of gradient first and second moments, incurring substantial…

机器学习 · 计算机科学 2026-05-12 Yao Lu , Dengdong Fan , Shixun Zhang , Yonghong Tian

Adaptive Moment Estimation (Adam), which combines Adaptive Learning Rate and Momentum, would be the most popular stochastic optimizer for accelerating the training of deep neural networks. However, it is empirically known that Adam often…

机器学习 · 计算机科学 2022-06-15 Zeke Xie , Xinrui Wang , Huishuai Zhang , Issei Sato , Masashi Sugiyama

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

Nowadays, large and complex deep learning (DL) models are increasingly trained in a distributed manner across multiple worker machines, in which extensive communications between workers pose serious scaling problems. In this article, we…

分布式、并行与集群计算 · 计算机科学 2020-11-10 Shaohuai Shi , Zhenheng Tang , Xiaowen Chu , Chengjian Liu , Wei Wang , Bo Li

Information compression is essential to reduce communication cost in distributed optimization over peer-to-peer networks. This paper proposes a communication-efficient linearly convergent distributed (COLD) algorithm to solve strongly…

最优化与控制 · 数学 2021-05-17 Jiaqi Zhang , Keyou You , Lihua Xie

Regional energy caps limit the growth of any single data center used for large-scale model training. This single-center training paradigm works when model size remains manageable, but exponential growth in the model size and computational…

机器学习 · 计算机科学 2025-12-18 Rongwei Lu , Jingyan Jiang , Chunyang Li , Xingguang Wei , Zhi Wang

The adaptive moment estimation algorithm Adam (Kingma and Ba) is a popular optimizer in the training of deep neural networks. However, Reddi et al. have recently shown that the convergence proof of Adam is problematic and proposed a variant…

机器学习 · 计算机科学 2019-11-01 Tran Thi Phuong , Le Trieu Phong

The success of the Adam optimizer on a wide array of architectures has made it the default in settings where stochastic gradient descent (SGD) performs poorly. However, our theoretical understanding of this discrepancy is lagging,…

机器学习 · 计算机科学 2023-04-28 Frederik Kunstner , Jacques Chen , Jonathan Wilder Lavington , Mark Schmidt

The rapid scaling of models has led to prohibitively high training and fine-tuning costs. A major factor accounting for memory consumption is the widespread use of stateful optimizers (e.g., Adam), which maintain auxiliary information of…

机器学习 · 计算机科学 2025-06-10 Cong Xu , Wenbin Liang , Mo Yu , Anan Liu , Ke-Yue Zhang , Shunli Wang , Lizhuang Ma , Jianyong Wang , Jun Wang , Wei Zhang

Training on edge devices poses several challenges as these devices are generally resource-constrained, especially in terms of power. State-of-the-art techniques at the device level reduce the GPU frequency to enforce power constraints,…

机器学习 · 计算机科学 2025-02-26 Mohamed Aboelenien Ahmed , Kilian Pfeiffer , Heba Khdr , Osama Abboud , Ramin Khalili , Jörg Henkel

Federated learning on edge devices must cope with non-IID client data and tight memory budgets. Adaptive optimizers like Adam stabilize training under data heterogeneity but require storing full-precision momentum and variance states, often…

机器学习 · 计算机科学 2026-05-19 Vedant Waykole , Haroon R. Lone