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Federated Learning (FL) incurs high communication overhead, which can be greatly alleviated by compression for model updates. Yet the tradeoff between compression and model accuracy in the networked environment remains unclear and, for…

Machine Learning · Computer Science 2021-12-14 Laizhong Cui , Xiaoxin Su , Yipeng Zhou , Jiangchuan Liu

Federated edge learning (FEEL) provides a promising foundation for edge artificial intelligence (AI) by enabling collaborative model training while preserving data privacy. However, limited and heterogeneous local datasets, as well as…

Machine Learning · Computer Science 2025-12-01 Xinnong Du , Zhonghao Lyu , Xiaowen Cao , Chunyang Wen , Shuguang Cui , Jie Xu

We analyze gradient descent with Polyak heavy-ball momentum (HB) whose fixed momentum parameter $\beta \in (0, 1)$ provides exponential decay of memory. Building on Kovachki and Stuart (2021), we prove that on an exponentially attractive…

Machine Learning · Computer Science 2025-09-11 Matias D. Cattaneo , Boris Shigida

Adaptive optimization has achieved notable success for distributed learning while extending adaptive optimizer to federated Learning (FL) suffers from severe inefficiency, including (i) rugged convergence due to inaccurate gradient…

Machine Learning · Computer Science 2023-08-02 Yan Sun , Li Shen , Hao Sun , Liang Ding , Dacheng Tao

Federated Composite Optimization (FCO) has emerged as a promising framework for training models with structural constraints (e.g., sparsity) in distributed edge networks. However, simultaneously achieving communication efficiency and…

Optimization and Control · Mathematics 2026-03-10 Pu Qiu , Chen Ouyang , Yongyang Xiong , Keyou You , Wanquan Liu , Yang Shi

In practical federated learning (FL), the large communication overhead between clients and the server is often a significant bottleneck. Gradient compression methods can effectively reduce this overhead, while error feedback (EF) restores…

Machine Learning · Computer Science 2026-02-13 Diying Yang , Yingwei Hou , Weigang Wu

Mobile crowdsensing has gained significant attention in recent years and has become a critical paradigm for emerging Internet of Things applications. The sensing devices continuously generate a significant quantity of data, which provide…

Machine Learning · Computer Science 2020-02-07 Zhouyuan Huo , Qian Yang , Bin Gu , Lawrence Carin. Heng Huang

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

The article examines in some detail the convergence rate and mean-square-error performance of momentum stochastic gradient methods in the constant step-size and slow adaptation regime. The results establish that momentum methods are…

Optimization and Control · Mathematics 2016-10-13 Kun Yuan , Bicheng Ying , Ali H. Sayed

Federated sampling algorithms have recently gained great popularity in the community of machine learning and statistics. This paper studies variants of such algorithms called Error Feedback Langevin algorithms (ELF). In particular, we…

Machine Learning · Statistics 2023-03-09 Avetik Karagulyan , Peter Richtárik

We propose self-adaptive training---a new training algorithm that dynamically corrects problematic training labels by model predictions without incurring extra computational cost---to improve generalization of deep learning for potentially…

Machine Learning · Computer Science 2020-10-01 Lang Huang , Chao Zhang , Hongyang Zhang

Mixture of linear regression is well studied in statistics and machine learning, where the data points are generated probabilistically using $k$ linear models. Algorithms like Expectation Maximization (EM) may be used to recover the ground…

Machine Learning · Computer Science 2026-04-08 Avishek Ghosh

We propose and study a new class of gradient communication mechanisms for communication-efficient training -- three point compressors (3PC) -- as well as efficient distributed nonconvex optimization algorithms that can take advantage of…

Machine Learning · Computer Science 2022-02-03 Peter Richtárik , Igor Sokolov , Ilyas Fatkhullin , Elnur Gasanov , Zhize Li , Eduard Gorbunov

Federated learning has emerged in the last decade as a distributed optimization paradigm due to the rapidly increasing number of portable devices able to support the heavy computational needs related to the training of machine learning…

Machine Learning · Computer Science 2024-10-10 Emanuel Buttaci , Giuseppe Carlo Calafiore

The adaptive stochastic gradient descent (SGD) with momentum has been widely adopted in deep learning as well as convex optimization. In practice, the last iterate is commonly used as the final solution to make decisions. However, the…

Machine Learning · Computer Science 2021-02-16 Wei Tao , Sheng Long , Gaowei Wu , Qing Tao

Federated learning has emerged recently as a promising solution for distributing machine learning tasks through modern networks of mobile devices. Recent studies have obtained lower bounds on the expected decrease in model loss that is…

Large neural networks require enormous computational clusters of machines. Model-parallel training, when the model architecture is partitioned sequentially between workers, is a popular approach for training modern models. Information…

Machine Learning · Computer Science 2024-03-27 Mikhail Rudakov , Aleksandr Beznosikov , Yaroslav Kholodov , Alexander Gasnikov

An estimation problem of fundamental interest is that of phase synchronization, in which the goal is to recover a collection of phases using noisy measurements of relative phases. It is known that in the Gaussian noise setting, the maximum…

Optimization and Control · Mathematics 2016-11-02 Huikang Liu , Man-Chung Yue , Anthony Man-Cho So

The successful training of deep neural networks requires addressing challenges such as overfitting, numerical instabilities leading to divergence, and increasing variance in the residual stream. A common solution is to apply regularization…

Machine Learning · Computer Science 2025-11-20 Jörg K. H. Franke , Urs Spiegelhalter , Marianna Nezhurina , Jenia Jitsev , Frank Hutter , Michael Hefenbrock

Improved EM strategies, based on the idea of efficient data augmentation (Meng and van Dyk 1997, 1998), are presented for ML estimation of mixture proportions. The resulting algorithms inherit the simplicity, ease of implementation, and…

Computation · Statistics 2010-02-22 Yaming Yu