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In this paper, we propose Nesterov Accelerated Shuffling Gradient (NASG), a new algorithm for the convex finite-sum minimization problems. Our method integrates the traditional Nesterov's acceleration momentum with different shuffling…

最优化与控制 · 数学 2022-06-14 Trang H. Tran , Katya Scheinberg , Lam M. Nguyen

This paper studies stochastic optimization for a sum of compositional functions, where the inner-level function of each summand is coupled with the corresponding summation index. We refer to this family of problems as finite-sum coupled…

最优化与控制 · 数学 2023-06-13 Bokun Wang , Tianbao Yang

Single-call stochastic extragradient methods, like stochastic past extragradient (SPEG) and stochastic optimistic gradient (SOG), have gained a lot of interest in recent years and are one of the most efficient algorithms for solving…

最优化与控制 · 数学 2023-11-14 Sayantan Choudhury , Eduard Gorbunov , Nicolas Loizou

Video semantic segmentation (VSS) is a computationally expensive task due to the per-frame prediction for videos of high frame rates. In recent work, compact models or adaptive network strategies have been proposed for efficient VSS.…

计算机视觉与模式识别 · 计算机科学 2023-03-14 Yubin Hu , Yuze He , Yanghao Li , Jisheng Li , Yuxing Han , Jiangtao Wen , Yong-Jin Liu

Stochastic first-order methods such as Stochastic Extragradient (SEG) or Stochastic Gradient Descent-Ascent (SGDA) for solving smooth minimax problems and, more generally, variational inequality problems (VIP) have been gaining a lot of…

The motivation for this paper stems from the desire to develop an adaptive sampling method for solving constrained optimization problems in which the objective function is stochastic and the constraints are deterministic. The method…

最优化与控制 · 数学 2021-01-01 Yuchen Xie , Raghu Bollapragada , Richard Byrd , Jorge Nocedal

In this paper, we investigate the impact of compression on stochastic gradient algorithms for machine learning, a technique widely used in distributed and federated learning. We underline differences in terms of convergence rates between…

机器学习 · 计算机科学 2025-07-25 Constantin Philippenko , Aymeric Dieuleveut

This paper presents an algorithmic framework for solving unconstrained stochastic optimization problems using only stochastic function evaluations. We employ central finite-difference based gradient estimation methods to approximate the…

最优化与控制 · 数学 2025-01-14 Raghu Bollapragada , Cem Karamanli

We develop and analyze a procedure for gradient-based optimization that we refer to as stochastically controlled stochastic gradient (SCSG). As a member of the SVRG family of algorithms, SCSG makes use of gradient estimates at two scales,…

最优化与控制 · 数学 2019-05-17 Lihua Lei , Michael I. Jordan

Real-world applications of machine learning models often confront data distribution shifts, wherein discrepancies exist between the training and test data distributions. In the common multi-domain multi-class setup, as the number of classes…

计算机视觉与模式识别 · 计算机科学 2024-05-24 Haoxiang Wang , Haozhe Si , Huajie Shao , Han Zhao

Federated Learning is a popular distributed learning paradigm in machine learning. Meanwhile, composition optimization is an effective hierarchical learning model, which appears in many machine learning applications such as meta learning…

机器学习 · 计算机科学 2023-03-31 Feihu Huang

Stochastic gradient descent is an optimisation method that combines classical gradient descent with random subsampling within the target functional. In this work, we introduce the stochastic gradient process as a continuous-time…

概率论 · 数学 2021-05-11 Jonas Latz

This paper considers a class of convex constrained nonsmooth convex stochastic composite optimization problems whose objective function is given by the summation of a differentiable convex component, together with a general nonsmooth but…

最优化与控制 · 数学 2021-12-08 Ruyu Wang , Chao Zhang

Stochastic optimization lies at the heart of machine learning, and its cornerstone is stochastic gradient descent (SGD), a method introduced over 60 years ago. The last 8 years have seen an exciting new development: variance reduction (VR)…

机器学习 · 计算机科学 2020-10-05 Robert M. Gower , Mark Schmidt , Francis Bach , Peter Richtarik

We firstly propose the new stochastic gradient estimate of unbiasedness and minimized variance in this paper. Secondly, we propose the two algorithms: Algorithml and Algorithm2 which apply the new stochastic gradient estimate to modern…

最优化与控制 · 数学 2023-06-02 Feifei Gao , Caixia Kou

We propose a randomized first order optimization method--SEGA (SkEtched GrAdient method)-- which progressively throughout its iterations builds a variance-reduced estimate of the gradient from random linear measurements (sketches) of the…

最优化与控制 · 数学 2018-10-19 Filip Hanzely , Konstantin Mishchenko , Peter Richtarik

Although with progress in introducing auxiliary amortized inference models, learning discrete latent variable models is still challenging. In this paper, we show that the annoying difficulty of obtaining reliable stochastic gradients for…

机器学习 · 统计学 2020-05-29 Zhijian Ou , Yunfu Song

Stochastic gradient descent (\textsc{Sgd}) methods are the most powerful optimization tools in training machine learning and deep learning models. Moreover, acceleration (a.k.a. momentum) methods and diagonal scaling (a.k.a. adaptive…

机器学习 · 统计学 2018-10-02 Qi Deng , Yi Cheng , Guanghui Lan

In this work a constrained adaptive filtering strategy based on conjugate gradient (CG) and set-membership (SM) techniques is presented for adaptive beamforming. A constraint on the magnitude of the array output is imposed to derive an…

信息论 · 计算机科学 2013-02-05 L. Wang , R. C. de Lamare

We consider a wide range of regularized stochastic minimization problems with two regularization terms, one of which is composed with a linear function. This optimization model abstracts a number of important applications in artificial…

机器学习 · 计算机科学 2018-02-02 Tianyi Lin , Linbo Qiao , Teng Zhang , Jiashi Feng , Bofeng Zhang
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