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Online learning algorithms require to often recompute least squares regression estimates of parameters. We study improving the computational complexity of such algorithms by using stochastic gradient descent (SGD) type schemes in place of…

机器学习 · 计算机科学 2014-11-21 Nathaniel Korda , Prashanth L. A. , Rémi Munos

Huge scale machine learning problems are nowadays tackled by distributed optimization algorithms, i.e. algorithms that leverage the compute power of many devices for training. The communication overhead is a key bottleneck that hinders…

机器学习 · 计算机科学 2018-11-30 Sebastian U. Stich , Jean-Baptiste Cordonnier , Martin Jaggi

In this paper, we propose a simple variant of the original SVRG, called variance reduced stochastic gradient descent (VR-SGD). Unlike the choices of snapshot and starting points in SVRG and its proximal variant, Prox-SVRG, the two vectors…

机器学习 · 计算机科学 2018-10-31 Fanhua Shang , Kaiwen Zhou , Hongying Liu , James Cheng , Ivor W. Tsang , Lijun Zhang , Dacheng Tao , Licheng Jiao

Stein variational gradient descent (SVGD) and its variants have shown promising successes in approximate inference for complex distributions. In practice, we notice that the kernel used in SVGD-based methods has a decisive effect on the…

机器学习 · 计算机科学 2022-11-29 Qingzhong Ai , Shiyu Liu , Lirong He , Zenglin Xu

Distributed stochastic gradient descent (SGD) algorithms are widely deployed in training large-scale deep learning models, while the communication overhead among workers becomes the new system bottleneck. Recently proposed gradient…

机器学习 · 计算机科学 2019-11-21 Shaohuai Shi , Xiaowen Chu , Ka Chun Cheung , Simon See

Stochastic gradient descent (SGD) is widely used in machine learning. Although being commonly viewed as a fast but not accurate version of gradient descent (GD), it always finds better solutions than GD for modern neural networks. In order…

机器学习 · 计算机科学 2018-08-17 Robert Kleinberg , Yuanzhi Li , Yang Yuan

Stochastic gradient descent (SGD) and its variants are the main workhorses for solving large-scale optimization problems with nonconvex objective functions. Although the convergence of SGDs in the (strongly) convex case is well-understood,…

机器学习 · 计算机科学 2023-10-20 Aritra Dutta , El Houcine Bergou , Soumia Boucherouite , Nicklas Werge , Melih Kandemir , Xin Li

Minimax optimal convergence rates for classes of stochastic convex optimization problems are well characterized, where the majority of results utilize iterate averaged stochastic gradient descent (SGD) with polynomially decaying step sizes.…

机器学习 · 计算机科学 2019-10-30 Rong Ge , Sham M. Kakade , Rahul Kidambi , Praneeth Netrapalli

Stochastic gradient descent (SGD), which dates back to the 1950s, is one of the most popular and effective approaches for performing stochastic optimization. Research on SGD resurged recently in machine learning for optimizing convex loss…

机器学习 · 计算机科学 2019-12-24 Jie Chen , Ronny Luss

SketchySGD improves upon existing stochastic gradient methods in machine learning by using randomized low-rank approximations to the subsampled Hessian and by introducing an automated stepsize that works well across a wide range of convex…

最优化与控制 · 数学 2024-02-22 Zachary Frangella , Pratik Rathore , Shipu Zhao , Madeleine Udell

We propose a novel algorithm for distributed stochastic gradient descent (SGD) with compressed gradient communication in the parameter-server framework. Our gradient compression technique, named flattened one-bit stochastic gradient descent…

机器学习 · 计算机科学 2024-05-21 Alexander Stollenwerk , Laurent Jacques

In this paper, we propose to solve a regularized distributionally robust learning problem in the decentralized setting, taking into account the data distribution shift. By adding a Kullback-Liebler regularization function to the robust…

机器学习 · 计算机科学 2022-09-13 Chaouki Ben Issaid , Anis Elgabli , Mehdi Bennis

In this work, we propose a stochastic gradient descent (SGD) framework to design data-driven policy gradient descent algorithms for the linear quadratic regulator problem. Two alternative schemes are considered to estimate the policy…

系统与控制 · 电气工程与系统科学 2026-02-24 Bowen Song , Simon Weissmann , Mathias Staudigl , Andrea Iannelli

Many relevant problems in the area of systems and control, such as controller synthesis, observer design and model reduction, can be viewed as optimization problems involving dynamical systems: for instance, maximizing performance in the…

最优化与控制 · 数学 2023-11-15 Pascal Den Boef , Jos Maubach , Wil Schilders , Nathan van de Wouw

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

Compressed Stochastic Gradient Descent (SGD) algorithms have been recently proposed to address the communication bottleneck in distributed and decentralized optimization problems, such as those that arise in federated machine learning.…

机器学习 · 统计学 2022-07-21 Adarsh M. Subramaniam , Akshayaa Magesh , Venugopal V. Veeravalli

Stochastic gradient descent (SGD) is one of the most popular algorithms in modern machine learning. The noise encountered in these applications is different from that in many theoretical analyses of stochastic gradient algorithms. In this…

机器学习 · 统计学 2021-09-16 Stephan Wojtowytsch

We study the inverse problem of radiative transfer equation (RTE) using stochastic gradient descent method (SGD) in this paper. Mathematically, optical tomography amounts to recovering the optical parameters in RTE using the…

最优化与控制 · 数学 2018-07-04 Ke Chen , Qin Li , Jian-Guo Liu

In this work we consider stochastic gradient descent (SGD) for solving linear inverse problems in Banach spaces. SGD and its variants have been established as one of the most successful optimisation methods in machine learning, imaging and…

机器学习 · 计算机科学 2023-02-13 Z. Kereta , B. Jin

Stochastic Gradient Descent (SGD) is an out-of-equilibrium algorithm used extensively to train artificial neural networks. However very little is known on to what extent SGD is crucial for to the success of this technology and, in…

机器学习 · 计算机科学 2023-12-19 Persia Jana Kamali , Pierfrancesco Urbani