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Stochastic Gradient Descent (SGD) has become one of the most popular optimization methods for training machine learning models on massive datasets. However, SGD suffers from two main drawbacks: (i) The noisy gradient updates have high…

机器学习 · 计算机科学 2017-04-10 Soham De , Tom Goldstein

We consider the problem of distributed statistical machine learning in adversarial settings, where some unknown and time-varying subset of working machines may be compromised and behave arbitrarily to prevent an accurate model from being…

分布式、并行与集群计算 · 计算机科学 2017-10-24 Yudong Chen , Lili Su , Jiaming Xu

Edge detection is typically viewed as a pixel-level classification problem mainly addressed by discriminative methods. Recently, generative edge detection methods, especially diffusion model based solutions, are initialized in the edge…

计算机视觉与模式识别 · 计算机科学 2024-10-07 Caixia Zhou , Yaping Huang , Mochu Xiang , Jiahui Ren , Haibin Ling , Jing Zhang

Stochastic Gradient Descent (SGD) is one of the most popular algorithms in statistical and machine learning due to its computational and memory efficiency. Various averaging schemes have been proposed to accelerate the convergence of SGD in…

机器学习 · 统计学 2025-04-08 Ziyang Wei , Wanrong Zhu , Wei Biao Wu

Stochastic Gradient Descent (SGD) is a widely deployed optimization procedure throughout data-driven and simulation-driven disciplines, which has drawn a substantial interest in understanding its global behavior across a broad class of…

最优化与控制 · 数学 2021-04-02 Vivak Patel , Shushu Zhang

The scalability of Distributed Stochastic Gradient Descent (SGD) is today limited by communication bottlenecks. We propose a novel SGD variant: Communication-efficient SGD with Error Reset, or CSER. The key idea in CSER is first a new…

机器学习 · 计算机科学 2020-12-08 Cong Xie , Shuai Zheng , Oluwasanmi Koyejo , Indranil Gupta , Mu Li , Haibin Lin

Distributed machine learning has been widely studied in the literature to scale up machine learning model training in the presence of an ever-increasing amount of data. We study distributed machine learning from another perspective, where…

分布式、并行与集群计算 · 计算机科学 2019-05-16 Yaochen Hu , Di Niu , Jianming Yang , Shengping Zhou

We propose a distributed approach to train deep neural networks (DNNs), which has guaranteed convergence theoretically and great scalability empirically: close to 6 times faster on instance of ImageNet data set when run with 6 machines. The…

机器学习 · 统计学 2016-10-04 Abhimanu Kumar , Pengtao Xie , Junming Yin , Eric P. Xing

Machine learning models trained with \emph{stochastic} gradient descent (SGD) can generalize better than those trained with deterministic gradient descent (GD). In this work, we study SGD's impact on generalization through the lens of the…

机器学习 · 计算机科学 2025-12-09 Hongjian Lan , Yucong Liu , Florian Schäfer

The performance of stochastic gradient descent (SGD) depends critically on how learning rates are tuned and decreased over time. We propose a method to automatically adjust multiple learning rates so as to minimize the expected error at any…

机器学习 · 统计学 2013-02-19 Tom Schaul , Sixin Zhang , Yann LeCun

We study the problem of learning-to-learn: inferring a learning algorithm that works well on tasks sampled from an unknown distribution. As class of algorithms we consider Stochastic Gradient Descent on the true risk regularized by the…

机器学习 · 计算机科学 2019-03-26 Giulia Denevi , Carlo Ciliberto , Riccardo Grazzi , Massimiliano Pontil

We consider the problem of distributed learning, where a network of agents collectively aim to agree on a hypothesis that best explains a set of distributed observations of conditionally independent random processes. We propose a…

最优化与控制 · 数学 2017-04-12 Angelia Nedić , Alex Olshevsky , César A. Uribe

We consider distributed stochastic variational inequalities (VIs) on unbounded domains with the problem data that is heterogeneous (non-IID) and distributed across many devices. We make a very general assumption on the computational network…

This paper provides a framework to analyze stochastic gradient algorithms in a mean squared error (MSE) sense using the asymptotic normality result of the stochastic gradient descent (SGD) iterates. We perform this analysis by taking the…

机器学习 · 统计学 2019-10-28 Yakup Ceki Papo

In this paper we analyze the behaviour of the stochastic gradient descent (SGD), a widely used method in supervised learning for optimizing neural network weights via a minimization of non-convex loss functions. Since the pioneering work of…

机器学习 · 计算机科学 2025-05-13 Davide Barbieri , Matteo Bonforte , Peio Ibarrondo

Score-based generative modeling (SGM) has grown to be a hugely successful method for learning to generate samples from complex data distributions such as that of images and audio. It is based on evolving an SDE that transforms white noise…

机器学习 · 计算机科学 2022-10-04 Holden Lee , Jianfeng Lu , Yixin Tan

In this paper, we propose a method of distributed stochastic gradient descent (SGD), with low communication load and computational complexity, and still fast convergence. To reduce the communication load, at each iteration of the algorithm,…

机器学习 · 计算机科学 2020-03-30 Naeimeh Omidvar , Mohammad Ali Maddah-Ali , Hamed Mahdavi

In this dissertation we propose alternative analysis of distributed stochastic gradient descent (SGD) algorithms that rely on spectral properties of the data covariance. As a consequence we can relate questions pertaining to speedups and…

最优化与控制 · 数学 2016-09-03 Avleen S. Bijral

The representation of functions by artificial neural networks depends on a large number of parameters in a non-linear fashion. Suitable parameters of these are found by minimizing a 'loss functional', typically by stochastic gradient…

机器学习 · 计算机科学 2021-09-16 Stephan Wojtowytsch

In this work, we consider the problem of a network of agents collectively minimizing a sum of convex functions. The agents in our setting can only access their local objective functions and exchange information with their immediate…

最优化与控制 · 数学 2019-10-01 Charikleia Iakovidou , Ermin Wei