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We propose AdaMuon, a novel optimizer that combines element-wise adaptivity with orthogonal updates for large-scale neural network training. AdaMuon incorporates two tightly coupled mechanisms: (1) an element-wise second momentum estimator…

Machine Learning · Computer Science 2025-12-25 Chongjie Si , Debing Zhang , Wei Shen

Hyperparameter tuning, particularly the selection of an appropriate learning rate in adaptive gradient training methods, remains a challenge. To tackle this challenge, in this paper, we propose a novel parameter-free optimizer,…

Machine Learning · Computer Science 2024-05-28 Yijiang Pang , Shuyang Yu , Bao Hoang , Jiayu Zhou

Modern recommendation systems frequently employ online learning to dynamically update their models with freshly collected data. The most commonly used optimizer for updating neural networks in these contexts is the Adam optimizer, which…

Machine Learning · Computer Science 2025-06-05 Shaowen Wang , Anan Liu , Jian Xiao , Huan Liu , Yuekui Yang , Cong Xu , Qianqian Pu , Suncong Zheng , Wei Zhang , Di Wang , Jie Jiang , Jian Li

Many continual-learning methods modify gradients upstream (e.g., projection, penalty rescaling, replay mixing) while treating Adam as a neutral backend. We show this composition has a hidden failure mode. In a high-overlap, non-adaptive…

Machine Learning · Computer Science 2026-04-27 Yuelin Hu , Zhenbo Yu , Zhengxue Cheng , Wei Liu , Li Song

In two-time-scale stochastic approximation (SA), two iterates are updated at varying speeds using different step sizes, with each update influencing the other. Previous studies on linear two-time-scale SA have shown that the convergence…

Optimization and Control · Mathematics 2026-04-14 Yuze Han , Xiang Li , Zhihua Zhang

Large pre-trained, zero-shot capable models have shown considerable success both for standard transfer and adaptation tasks, with particular robustness towards distribution shifts. In addition, subsequent fine-tuning can considerably…

Machine Learning · Computer Science 2022-11-08 Zafir Stojanovski , Karsten Roth , Zeynep Akata

Learning rate scheduling is essential in transformer training, where the final annealing plays a crucial role in getting the best performance. However, the mechanisms behind this cooldown phase, with its characteristic drop in loss, remain…

Machine Learning · Computer Science 2025-08-08 Aleksandr Dremov , Alexander Hägele , Atli Kosson , Martin Jaggi

Optimizing the learning rate remains a critical challenge in machine learning, essential for achieving model stability and efficient convergence. The Vector Auxiliary Variable (VAV) algorithm introduces a novel energy-based self-adjustable…

Machine Learning · Computer Science 2024-11-12 Jiahao Zhang , Christian Moya , Guang Lin

In large-scale learning algorithms, the momentum term is usually included in the stochastic sub-gradient method to improve the learning speed because it can navigate ravines efficiently to reach a local minimum. However, step-size and…

Machine Learning · Computer Science 2024-08-07 Wen-Liang Hwang

Federated learning protects data privacy and security by exchanging models instead of data. However, unbalanced data distributions among participating clients compromise the accuracy and convergence speed of federated learning algorithms.…

Machine Learning · Computer Science 2022-04-11 Qilong Wu , Lin Liu , Shibei Xue

Integrating adaptive learning rate and momentum techniques into SGD leads to a large class of efficiently accelerated adaptive stochastic algorithms, such as AdaGrad, RMSProp, Adam, AccAdaGrad, \textit{etc}. In spite of their effectiveness…

Machine Learning · Computer Science 2023-05-16 Li Shen , Congliang Chen , Fangyu Zou , Zequn Jie , Ju Sun , Wei Liu

Class imbalance poses a major challenge for machine learning as most supervised learning models might exhibit bias towards the majority class and under-perform in the minority class. Cost-sensitive learning tackles this problem by treating…

Machine Learning · Computer Science 2022-09-20 Vasileios Iosifidis , Symeon Papadopoulos , Bodo Rosenhahn , Eirini Ntoutsi

Adversarial Training (AT) has become arguably the state-of-the-art algorithm for extracting robust features. However, researchers recently notice that AT suffers from severe robust overfitting problems, particularly after learning rate (LR)…

Machine Learning · Computer Science 2023-10-31 Yifei Wang , Liangchen Li , Jiansheng Yang , Zhouchen Lin , Yisen Wang

In an asynchronous federated learning framework, the server updates the global model once it receives an update from a client instead of waiting for all the updates to arrive as in the synchronous setting. This allows heterogeneous devices…

Machine Learning · Computer Science 2022-06-08 Qiyuan Wang , Qianqian Yang , Shibo He , Zhiguo Shi , Jiming Chen

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…

Optimization and Control · Mathematics 2025-08-01 Ilya Kuruzov , Xiaokai Chen , Gesualdo Scutari , Alexander Gasnikov

The Multiplicative Weights Update (MWU) method is a ubiquitous meta-algorithm that works as follows: A distribution is maintained on a certain set, and at each step the probability assigned to element $\gamma$ is multiplied by $(1 -\epsilon…

Computer Science and Game Theory · Computer Science 2017-03-06 Gerasimos Palaiopanos , Ioannis Panageas , Georgios Piliouras

We introduce Tune without Validation (Twin), a pipeline for tuning learning rate and weight decay without validation sets. We leverage a recent theoretical framework concerning learning phases in hypothesis space to devise a heuristic that…

Machine Learning · Computer Science 2024-03-11 Lorenzo Brigato , Stavroula Mougiakakou

While recent continual learning methods largely alleviate the catastrophic problem on toy-sized datasets, some issues remain to be tackled to apply them to real-world problem domains. First, a continual learning model should effectively…

Machine Learning · Computer Science 2020-02-18 Jaehong Yoon , Saehoon Kim , Eunho Yang , Sung Ju Hwang

Recent weakly supervised video anomaly detection methods have achieved significant advances by employing unified frameworks for joint optimization. However, this paradigm is limited by a fundamental sensitivity-stability trade-off, as the…

Computer Vision and Pattern Recognition · Computer Science 2026-03-23 Hantao Zheng , Ning Han , Yawen Zeng , Hao Chen

In several recently proposed stochastic optimization methods (e.g. RMSProp, Adam, Adadelta), parameter updates are scaled by the inverse square roots of exponential moving averages of squared past gradients. Maintaining these per-parameter…

Machine Learning · Computer Science 2018-04-13 Noam Shazeer , Mitchell Stern
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