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Sampling from a target distribution induced by training data is central to Bayesian learning, with Stochastic Gradient Langevin Dynamics (SGLD) serving as a key tool for scalable posterior sampling and decentralized variants enabling…

Optimization and Control · Mathematics 2025-11-18 Waheed U. Bajwa , Mert Gurbuzbalaban , Mustafa Ali Kutbay , Lingjiong Zhu , Muhammad Zulqarnain

We introduce and analyze stochastic optimization methods where the input to each gradient update is perturbed by bounded noise. We show that this framework forms the basis of a unified approach to analyze asynchronous implementations of…

This paper investigates accelerating the convergence of distributed optimization algorithms on non-convex problems. We propose a distributed primal-dual stochastic gradient descent~(SGD) equipped with "powerball" method to accelerate. We…

Optimization and Control · Mathematics 2021-10-15 Shengjun Zhang , Colleen P. Bailey

Distributed optimization is the standard way of speeding up machine learning training, and most of the research in the area focuses on distributed first-order, gradient-based methods. Yet, there are settings where some…

Machine Learning · Computer Science 2025-11-03 Matin Ansaripour , Shayan Talaei , Giorgi Nadiradze , Dan Alistarh

The state-of-the-art deep neural networks (DNNs) have significant computational and data management requirements. The size of both training data and models continue to increase. Sparsification and pruning methods are shown to be effective…

Machine Learning · Computer Science 2021-04-27 Gunduz Vehbi Demirci , Hakan Ferhatosmanoglu

Variance reduction (VR) methods boost the performance of stochastic gradient descent (SGD) by enabling the use of larger, constant stepsizes and preserving linear convergence rates. However, current variance reduced SGD methods require…

Machine Learning · Computer Science 2017-04-10 Soham De , Gavin Taylor , Tom Goldstein

Large-scale deep learning models contribute to significant performance improvements on varieties of downstream tasks. Current data and model parallelism approaches utilize model replication and partition techniques to support the…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-22 Youhe Jiang , Fangcheng Fu , Xupeng Miao , Xiaonan Nie , Bin Cui

We present GSPMD, an automatic, compiler-based parallelization system for common machine learning computations. It allows users to write programs in the same way as for a single device, then give hints through a few annotations on how to…

This paper considers decentralized stochastic optimization over a network of $n$ nodes, where each node possesses a smooth non-convex local cost function and the goal of the networked nodes is to find an $\epsilon$-accurate first-order…

Optimization and Control · Mathematics 2021-06-15 Ran Xin , Usman A. Khan , Soummya Kar

Communication is a crucial phase in the context of distributed training. Because parameter server (PS) frequently experiences network congestion, recent studies have found that training paradigms without a centralized server outperform the…

Optimization and Control · Mathematics 2020-12-17 Feijie Wu , Shiqi He , Yutong Yang , Haozhao Wang , Zhihao Qu , Song Guo , Weihua Zhuang

We develop a general framework unifying several gradient-based stochastic optimization methods for empirical risk minimization problems both in centralized and distributed scenarios. The framework hinges on the introduction of an augmented…

Optimization and Control · Mathematics 2022-07-11 Yan Huang , Ying Sun , Zehan Zhu , Changzhi Yan , Jinming Xu

Large-scale deep learning models contribute to significant performance improvements on varieties of downstream tasks. Current data and model parallelism approaches utilize model replication and partition techniques to support the…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-19 Youhe Jiang , Fangcheng Fu , Xupeng Miao , Xiaonan Nie , Bin Cui

In this thesis, we propose new theoretical frameworks for the analysis of stochastic and distributed methods with error compensation and local updates. Using these frameworks, we develop more than 20 new optimization methods, including the…

Optimization and Control · Mathematics 2021-12-21 Eduard Gorbunov

With multiple iterations of updates, local statistical gradient descent (L-SGD) has been proven to be very effective in distributed machine learning schemes such as federated learning. In fact, many innovative works have shown that L-SGD…

Machine Learning · Computer Science 2023-05-29 Linxuan Pan , Shenghui Song

The speed of deep neural networks training has become a big bottleneck of deep learning research and development. For example, training GoogleNet by ImageNet dataset on one Nvidia K20 GPU needs 21 days. To speed up the training process, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-11 Yang You , Aydin Buluc , James Demmel

Decentralized federated learning (DFL) captures FL settings where both (i) model updates and (ii) model aggregations are exclusively carried out by the clients without a central server. Existing DFL works have mostly focused on settings…

Machine Learning · Computer Science 2025-03-07 Shahryar Zehtabi , Dong-Jun Han , Rohit Parasnis , Seyyedali Hosseinalipour , Christopher G. Brinton

Most parallel neural network training methods assume homogeneous computing resources. For example, synchronous data-parallel SGD suffers from significant synchronization overhead under heterogeneous workloads, often forcing practitioners to…

Machine Learning · Computer Science 2026-02-24 Jihyun Lim , Junhyuk Jo , Chanhyeok Ko , Young Min Go , Jimin Hwa , Sunwoo Lee

Partitioning graphs into blocks of roughly equal size such that few edges run between blocks is a frequently needed operation in processing graphs. Recently, size, variety, and structural complexity of these networks has grown dramatically.…

Data Structures and Algorithms · Computer Science 2018-10-16 Yaroslav Akhremtsev , Peter Sanders , Christian Schulz

While machine learning has achieved remarkable results in a wide variety of domains, the training of models often requires large datasets that may need to be collected from different individuals. As sensitive information may be contained in…

Machine Learning · Computer Science 2023-02-07 Richeng Jin , Xiaofan He , Huaiyu Dai

Asynchronous stochastic gradient methods are central to scalable distributed optimization, particularly when devices differ in computational capabilities. Such settings arise naturally in federated learning, where training takes place on…

Optimization and Control · Mathematics 2026-02-20 Artavazd Maranjyan , Peter Richtárik