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This paper considers a distributed stochastic non-convex optimization problem, where the nodes in a network cooperatively minimize a sum of $L$-smooth local cost functions with sparse gradients. By adaptively adjusting the stepsizes…

Optimization and Control · Mathematics 2024-04-01 Dongyu Han , Kun Liu , Yeming Lin , Yuanqing Xia

Pairwise learning, an important domain within machine learning, addresses loss functions defined on pairs of training examples, including those in metric learning and AUC maximization. Acknowledging the quadratic growth in computation…

Machine Learning · Computer Science 2024-02-05 Hilal AlQuabeh , William de Vazelhes , Bin Gu

Methods for distributed optimization have received significant attention in recent years owing to their wide applicability in various domains. A distributed optimization method typically consists of two key components: communication and…

Optimization and Control · Mathematics 2018-06-04 Albert S. Berahas , Raghu Bollapragada , Nitish Shirish Keskar , Ermin Wei

Communication overhead is a critical challenge in federated learning, particularly in bandwidth-constrained networks. Although many methods have been proposed to reduce communication overhead, most focus solely on compressing individual…

Machine Learning · Computer Science 2026-01-16 Shenlong Zheng , Zhen Zhang , Yuhui Deng , Geyong Min , Lin Cui

Collaborative training methods like Federated Learning (FL) and Split Learning (SL) enable distributed machine learning without sharing raw data. However, FL assumes clients can train entire models, which is infeasible for large-scale…

Machine Learning · Computer Science 2025-06-18 Srijith Nair , Michael Lin , Peizhong Ju , Amirreza Talebi , Elizabeth Serena Bentley , Jia Liu

Low-rank matrix estimation is a canonical problem that finds numerous applications in signal processing, machine learning and imaging science. A popular approach in practice is to factorize the matrix into two compact low-rank factors, and…

Machine Learning · Computer Science 2021-06-16 Tian Tong , Cong Ma , Yuejie Chi

We introduce a new generative model where samples are produced via Langevin dynamics using gradients of the data distribution estimated with score matching. Because gradients can be ill-defined and hard to estimate when the data resides on…

Machine Learning · Computer Science 2020-10-13 Yang Song , Stefano Ermon

Graph-based retrieval-augmented generation (RAG) enables large language models (LLMs) to ground responses with structured external knowledge from up-to-date knowledge graphs (KGs) and reduce hallucinations. However, LLMs often rely on a…

Computation and Language · Computer Science 2025-07-01 Deyu Zou , Yongqiang Chen , Mufei Li , Siqi Miao , Chenxi Liu , Bo Han , James Cheng , Pan Li

With the rapid increase of big data, distributed Machine Learning (ML) has been widely applied in training large-scale models. Stochastic Gradient Descent (SGD) is arguably the workhorse algorithm of ML. Distributed ML models trained by SGD…

Machine Learning · Computer Science 2021-12-09 Keyu Yang , Lu Chen , Zhihao Zeng , Yunjun Gao

The real-world data distribution is essentially long-tailed, which poses great challenge to the deep model. In this work, we propose a new method, Gradual Balanced Loss and Adaptive Feature Generator (GLAG) to alleviate imbalance. GLAG…

Computer Vision and Pattern Recognition · Computer Science 2022-03-02 Zihan Zhang , Xiang Xiang

We present a uniform analysis of biased stochastic gradient methods for minimizing convex, strongly convex, and non-convex composite objectives, and identify settings where bias is useful in stochastic gradient estimation. The framework we…

Optimization and Control · Mathematics 2020-02-28 Derek Driggs , Jingwei Liang , Carola-Bibiane Schönlieb

Federated Learning (FL) enables decentralized model training across multiple clients while optionally preserving data privacy. However, communication efficiency remains a critical bottleneck, particularly for large-scale models. In this…

Machine Learning · Computer Science 2025-11-11 Arnaud Descours , Léonard Deroose , Jan Ramon

Variance-reduced stochastic gradient methods have gained popularity in recent times. Several variants exist with different strategies for the storing and sampling of gradients and this work concerns the interactions between these two…

Optimization and Control · Mathematics 2022-10-19 Martin Morin , Pontus Giselsson

We develop and analyze an asynchronous algorithm for distributed convex optimization when the objective writes a sum of smooth functions, local to each worker, and a non-smooth function. Unlike many existing methods, our distributed…

Optimization and Control · Mathematics 2019-12-13 Konstantin Mishchenko , Franck Iutzeler , Jérôme Malick

Feedback optimization is an increasingly popular control paradigm to optimize dynamical systems, accounting for control objectives that concern the system operation at steady-state. Existing feedback optimization techniques heavily rely on…

Optimization and Control · Mathematics 2025-04-08 Amir Mehrnoosh , Gianluca Bianchin

Deep neural network training involves both forward propagation (from features through logits to loss) and backward propagation (from loss through gradients to parameter updates). While perturbations along the forward chain, including…

Machine Learning · Computer Science 2026-05-29 Hua Li

At the heart of the standard deep learning training loop is a greedy gradient step minimizing a given loss. We propose to add a second step to maximize training generalization. To do this, we optimize the loss of the next training step.…

Machine Learning · Computer Science 2021-02-08 Samuel Müller , André Biedenkapp , Frank Hutter

This work investigates fault-resilient federated learning when the data samples are non-uniformly distributed across workers, and the number of faulty workers is unknown to the central server. In the presence of adversarially faulty workers…

Machine Learning · Computer Science 2020-08-20 Yanjie Dong , Georgios B. Giannakis , Tianyi Chen , Julian Cheng , Md. Jahangir Hossain , Victor C. M. Leung

Sparsity is a desirable attribute. It can lead to more efficient and more effective representations compared to the dense model. Meanwhile, learning sparse latent representations has been a challenging problem in the field of computer…

Computer Vision and Pattern Recognition · Computer Science 2022-09-22 Hanao Li , Tian Han

Stochastic gradient algorithms are the main focus of large-scale optimization problems and led to important successes in the recent advancement of the deep learning algorithms. The convergence of SGD depends on the careful choice of…

Machine Learning · Computer Science 2017-03-03 Caglar Gulcehre , Jose Sotelo , Marcin Moczulski , Yoshua Bengio