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Distributed optimization methods are often applied to solving huge-scale problems like training neural networks with millions and even billions of parameters. In such applications, communicating full vectors, e.g., (stochastic) gradients,…

Optimization and Control · Mathematics 2022-05-31 Marina Danilova , Eduard Gorbunov

Shuffling gradient methods are widely used in modern machine learning tasks and include three popular implementations: Random Reshuffle (RR), Shuffle Once (SO), and Incremental Gradient (IG). Compared to the empirical success, the…

Machine Learning · Computer Science 2024-06-07 Zijian Liu , Zhengyuan Zhou

Stochastic Gradient Descent (SGD) is an important algorithm in machine learning. With constant learning rates, it is a stochastic process that, after an initial phase of convergence, generates samples from a stationary distribution. We show…

Machine Learning · Statistics 2017-09-12 Stephan Mandt , Matthew D. Hoffman , David M. Blei

Rank regression offers robustness to outliers and heavy-tailed response distributions, invariance to monotonic transformations, and improved efficiency under non-Gaussian errors, making it a versatile tool for analyzing complex data. This…

Methodology · Statistics 2026-05-25 Jiyuan Tu , Suqi Wu , Yichen Zhang , Wen-Xin Zhou

We study optimization algorithms based on variance reduction for stochastic gradient descent (SGD). Remarkable recent progress has been made in this direction through development of algorithms like SAG, SVRG, SAGA. These algorithms have…

Machine Learning · Computer Science 2016-01-26 Sashank J. Reddi , Ahmed Hefny , Suvrit Sra , Barnabás Póczos , Alex Smola

Recently, federated learning has emerged as a promising approach for training a global model using data from multiple organizations without leaking their raw data. Nevertheless, directly applying federated learning to real-world tasks faces…

Machine Learning · Computer Science 2022-04-19 Bingzhe Wu , Zhipeng Liang , Yuxuan Han , Yatao Bian , Peilin Zhao , Junzhou Huang

In federated learning (FL), the communication constraint between the remote learners and the Parameter Server (PS) is a crucial bottleneck. For this reason, model updates must be compressed so as to minimize the loss in accuracy resulting…

Machine Learning · Computer Science 2023-01-24 Yangyi Liu , Stefano Rini , Sadaf Salehkalaibar , Jun Chen

Communication is one of the key bottlenecks in the distributed training of large-scale machine learning models, and lossy compression of exchanged information, such as stochastic gradients or models, is one of the most effective instruments…

Machine Learning · Computer Science 2022-06-22 Egor Shulgin , Peter Richtárik

Limiting failures of machine learning systems is of paramount importance for safety-critical applications. In order to improve the robustness of machine learning systems, Distributionally Robust Optimization (DRO) has been proposed as a…

Federated learning increasingly operates in a large-model regime where communication, memory, and computation are all scarce. Typically, non-IID client data induce drift that degrades the stability and performance of local training.…

Machine Learning · Computer Science 2026-04-29 Shuchen Zhu , Zhengyang Huang , Yuqi Xu , Peijin Li

We study without-replacement SGD for solving finite-sum optimization problems. Specifically, depending on how the indices of the finite-sum are shuffled, we consider the RandomShuffle (shuffle at the beginning of each epoch) and…

Optimization and Control · Mathematics 2020-06-23 Kwangjun Ahn , Chulhee Yun , Suvrit Sra

Random forest (RF) is one of the most popular methods for estimating regression functions. The local nature of the RF algorithm, based on intra-node means and variances, is ideal when errors are i.i.d. For dependent error processes like…

Machine Learning · Statistics 2021-06-29 Arkajyoti Saha , Sumanta Basu , Abhirup Datta

Stochastic gradient descent is the method of choice for large-scale machine learning problems, by virtue of its light complexity per iteration. However, it lags behind its non-stochastic counterparts with respect to the convergence rate,…

Machine Learning · Statistics 2016-03-23 Vatsal Shah , Megasthenis Asteris , Anastasios Kyrillidis , Sujay Sanghavi

Stochastic variance reduction has proven effective at accelerating first-order algorithms for solving convex finite-sum optimization tasks such as empirical risk minimization. Incorporating second-order information has proven helpful in…

Optimization and Control · Mathematics 2025-04-30 Michał Dereziński

Randomized iterative methods have gained recent interest in machine learning and signal processing for solving large-scale linear systems. One such example is the randomized Douglas-Rachford (RDR) method, which updates the iterate by…

Numerical Analysis · Mathematics 2025-06-13 Liqi Guo , Ruike Xiang , Deren Han , Jiaxin Xie

Compression has emerged as one of the essential deep learning research topics, especially for the edge devices that have limited computation power and storage capacity. Among the main compression techniques, low-rank compression via matrix…

Machine Learning · Computer Science 2021-12-02 Moonjung Eo , Suhyun Kang , Wonjong Rhee

Sampling is ubiquitous in machine learning methodologies. Due to the growth of large datasets and model complexity, we want to learn and adapt the sampling process while training a representation. Towards achieving this grand goal, a…

Machine Learning · Computer Science 2022-12-14 Jason Xiaotian Dou , Alvin Qingkai Pan , Runxue Bao , Haiyi Harry Mao , Lei Luo , Zhi-Hong Mao

Learning representations that capture both intrinsic data geometry and target-relevant structure remains a fundamental challenge, particularly in settings where data reduction must balance compression with predictive fidelity. While…

Machine Learning · Computer Science 2026-05-28 Sai-Aakash Ramesh , Archit Sood , Andrew Corbett , Tim Dodwell

When training a machine learning model with observational data, it is often encountered that some values are systemically missing. Learning from the incomplete data in which the missingness depends on some covariates may lead to biased…

Machine Learning · Computer Science 2018-12-24 Kanghoon Lee , Jihye Choi , Moonsu Cha , Jung-Kwon Lee , Taeyoon Kim

Federated learning (FL) allows multiple clients cooperatively train models without disclosing local data. However, the existing works fail to address all these practical concerns in FL: limited communication resources, dynamic network…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-12-20 Zhida Jiang , Yang Xu , Hongli Xu , Zhiyuan Wang , Chen Qian
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