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This paper presents a novel natural gradient and Hessian-free (NGHF) optimisation framework for neural network training that can operate efficiently in a distributed manner. It relies on the linear conjugate gradient (CG) algorithm to…

机器学习 · 计算机科学 2021-03-16 Adnan Haider , Chao Zhang , Florian L. Kreyssig , Philip C. Woodland

We propose a stochastic trust-region method for unconstrained nonconvex optimization that incorporates stochastic variance-reduced gradients (SVRG) to accelerate convergence. Unlike classical trust-region methods, the proposed algorithm…

最优化与控制 · 数学 2026-01-22 Yuchen Fang , Xinshou Zheng , Javad Lavaei

Motivated by distributed statistical learning over uncertain communication networks, we study distributed stochastic optimization by networked nodes to cooperatively minimize a sum of convex cost functions. The network is modeled by a…

系统与控制 · 电气工程与系统科学 2025-01-03 Yan Chen , Alexander L. Fradkov , Keli Fu , Xiaozheng Fu , Tao Li

We introduce a new, high-throughput, synchronous, distributed, data-parallel, stochastic-gradient-descent learning algorithm. This algorithm uses amortized inference in a compute-cluster-specific, deep, generative, dynamical model to…

分布式、并行与集群计算 · 计算机科学 2018-03-14 Michael Teng , Frank Wood

This paper proposes SplitSGD, a new dynamic learning rate schedule for stochastic optimization. This method decreases the learning rate for better adaptation to the local geometry of the objective function whenever a stationary phase is…

机器学习 · 统计学 2024-02-20 Matteo Sordello , Niccolò Dalmasso , Hangfeng He , Weijie Su

Distributed stochastic gradient descent (SGD) with gradient compression has become a popular communication-efficient solution for accelerating distributed learning. One commonly used method for gradient compression is Top-K sparsification,…

机器学习 · 计算机科学 2023-09-12 Mengzhe Ruan , Guangfeng Yan , Yuanzhang Xiao , Linqi Song , Weitao Xu

Asynchronous stochastic gradient descent (ASGD) is a standard way to exploit heterogeneous compute resources in distributed learning: instead of forcing fast workers to wait for slow ones, the server updates the model whenever a gradient…

机器学习 · 计算机科学 2026-05-14 Ammar Mahran , Artavazd Maranjyan , Peter Richtárik

Traffic forecasting has recently attracted increasing interest due to the popularity of online navigation services, ridesharing and smart city projects. Owing to the non-stationary nature of road traffic, forecasting accuracy is…

机器学习 · 计算机科学 2023-07-10 Rui Dai , Shenkun Xu , Qian Gu , Chenguang Ji , Kaikui Liu

Predicting road traffic speed is a challenging task due to different types of roads, abrupt speed change and spatial dependencies between roads; it requires the modeling of dynamically changing spatial dependencies among roads and temporal…

机器学习 · 计算机科学 2020-10-21 Cheonbok Park , Chunggi Lee , Hyojin Bahng , Yunwon Tae , Kihwan Kim , Seungmin Jin , Sungahn Ko , Jaegul Choo

High communication costs create a major bottleneck for distributed resource allocation over unbalanced directed networks. Conventional dual gradient tracking methods, while effective for problems on unbalanced digraphs, rely on periodic…

系统与控制 · 电气工程与系统科学 2025-11-18 Xiayan Xu , Xiaomeng Chen , Dawei Shi , Ling Shi

The paper considers distributed stochastic optimization over randomly switching networks, where agents collaboratively minimize the average of all agents' local expectation-valued convex cost functions. Due to the stochasticity in gradient…

最优化与控制 · 数学 2022-04-07 Jinlong Lei , Peng Yi , Jie Chen , Yiguang Hong

While distributed training significantly speeds up the training process of the deep neural network (DNN), the utilization of the cluster is relatively low due to the time-consuming data synchronizing between workers. To alleviate this…

机器学习 · 计算机科学 2020-12-01 Yuhao Zhou , Qing Ye , Hailun Zhang , Jiancheng Lv

This work considered an online distributed optimization problem, with a group of agents whose local objective functions vary with time. Moreover, the value of the objective function is revealed to the corresponding agent after the decision…

最优化与控制 · 数学 2021-08-16 Yipeng Pang , Guoqiang Hu

Classical optimization theory deals with fixed, time-invariant objective functions. However, time-varying optimization has emerged as an important subject for decision-making in dynamic environments. In this work, we study the problem of…

机器学习 · 计算机科学 2025-10-16 Muhammad Faraz Ul Abrar , Nicolò Michelusi , Erik G. Larsson

This paper considers the problem of distributed optimization over time-varying graphs. For the case of undirected graphs, we introduce a distributed algorithm, referred to as DIGing, based on a combination of a distributed inexact gradient…

最优化与控制 · 数学 2017-03-21 Angelia Nedich , Alex Olshevsky , Wei Shi

In recent years, Riemannian stochastic gradient descent (R-SGD), Riemannian stochastic variance reduction (R-SVRG) and Riemannian stochastic recursive gradient (R-SRG) have attracted considerable attention on Riemannian optimization. Under…

最优化与控制 · 数学 2021-10-18 Jiabao Yang

In distributed training of deep neural networks, people usually run Stochastic Gradient Descent (SGD) or its variants on each machine and communicate with other machines periodically. However, SGD might converge slowly in training some deep…

机器学习 · 计算机科学 2022-10-14 Mingrui Liu , Zhenxun Zhuang , Yunwei Lei , Chunyang Liao

We propose a flexible gradient tracking approach with adjustable computation and communication steps for solving distributed stochastic optimization problem over networks. The proposed method allows each node to perform multiple local…

最优化与控制 · 数学 2023-06-13 Yan Huang , Jinming Xu

Stochastic gradient descent (SGD) holds as a classical method to build large scale machine learning models over big data. A stochastic gradient is typically calculated from a limited number of samples (known as mini-batch), so it…

机器学习 · 计算机科学 2016-01-14 Yadong Mu , Wei Liu , Wei Fan

Decentralized optimization is typically studied under the assumption of noise-free transmission. However, real-world scenarios often involve the presence of noise due to factors such as additive white Gaussian noise channels or…

最优化与控制 · 数学 2023-07-28 Suhail M. Shah , Raghu Bollapragada