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Recent work has established an empirically successful framework for adapting learning rates for stochastic gradient descent (SGD). This effectively removes all needs for tuning, while automatically reducing learning rates over time on…

机器学习 · 计算机科学 2013-03-28 Tom Schaul , Yann LeCun

This paper considers a distributed stochastic strongly convex optimization, where agents connected over a network aim to cooperatively minimize the average of all agents' local cost functions. Due to the stochasticity of gradient estimation…

最优化与控制 · 数学 2020-02-17 Jinlong Lei , Peng Yi , Jie Chen , Yiguang Hong

Asynchronous parallel optimization algorithms for solving large-scale machine learning problems have drawn significant attention from academia to industry recently. This paper proposes a novel algorithm, decoupled asynchronous proximal…

最优化与控制 · 数学 2016-05-24 Yitan Li , Linli Xu , Xiaowei Zhong , Qing Ling

Asynchronous stochastic gradient descent (ASGD) is a popular parallel optimization algorithm in machine learning. Most theoretical analysis on ASGD take a discrete view and prove upper bounds for their convergence rates. However, the…

机器学习 · 统计学 2018-05-09 Li He , Qi Meng , Wei Chen , Zhi-Ming Ma , Tie-Yan Liu

This work studies constrained stochastic optimization problems where the objective and constraint functions are convex and expressed as compositions of stochastic functions. The problem arises in the context of fair classification, fair…

机器学习 · 计算机科学 2022-09-13 Srujan Teja Thomdapu , Harshvardhan , Ketan Rajawat

Stochastic variance reduced methods have gained a lot of interest recently for empirical risk minimization due to its appealing run time complexity. When the data size is large and disjointly stored on different machines, it becomes…

机器学习 · 计算机科学 2020-08-26 Shicong Cen , Huishuai Zhang , Yuejie Chi , Wei Chen , Tie-Yan Liu

Asynchronous algorithms have attracted much attention recently due to the crucial demands on solving large-scale optimization problems. However, the accelerated versions of asynchronous algorithms are rarely studied. In this paper, we…

最优化与控制 · 数学 2018-02-28 Cong Fang , Yameng Huang , Zhouchen Lin

We analyze the effect of synchronization on distributed stochastic gradient algorithms. By exploiting an analogy with dynamical models of biological quorum sensing - where synchronization between agents is induced through communication with…

最优化与控制 · 数学 2020-12-18 Nicholas M. Boffi , Jean-Jacques E. Slotine

We describe an asynchronous parallel stochastic coordinate descent algorithm for minimizing smooth unconstrained or separably constrained functions. The method achieves a linear convergence rate on functions that satisfy an essential strong…

最优化与控制 · 数学 2014-11-12 Ji Liu , Stephen J. Wright , Christopher Ré , Victor Bittorf , Srikrishna Sridhar

Support Vector Machines (SVM), a popular machine learning technique, has been applied to a wide range of domains such as science, finance, and social networks for supervised learning. Whether it is identifying high-risk patients by…

分布式、并行与集群计算 · 计算机科学 2014-06-20 Jeyanthi Narasimhan , Abhinav Vishnu , Lawrence Holder , Adolfy Hoisie

Stochastic variance reduced gradient (SVRG) is a popular variance reduction technique for accelerating stochastic gradient descent (SGD). We provide a first analysis of the method for solving a class of linear inverse problems in the lens…

数值分析 · 数学 2022-01-19 Bangti Jin , Zehui Zhou , Jun Zou

Distributed optimization algorithms have emerged as a superior approaches for solving machine learning problems. To accommodate the diverse ways in which data can be stored across devices, these methods must be adaptable to a wide range of…

最优化与控制 · 数学 2024-04-23 Sergey Stanko , Timur Karimullin , Aleksandr Beznosikov , Alexander Gasnikov

Adaptive importance sampling for stochastic optimization is a promising approach that offers improved convergence through variance reduction. In this work, we propose a new framework for variance reduction that enables the use of mixtures…

机器学习 · 计算机科学 2019-04-01 Zalán Borsos , Sebastian Curi , Kfir Y. Levy , Andreas Krause

Variance reduction (VR) techniques for convergence rate acceleration of stochastic gradient descent (SGD) algorithm have been developed with great efforts recently. VR's two variants, stochastic variance-reduced-gradient (SVRG-SGD) and…

分布式、并行与集群计算 · 计算机科学 2018-04-11 Fei Wang , Jun Ye , Weichen Li , Guihai Chen

Asynchronous Bayesian optimization is a recently implemented technique that allows for parallel operation of experimental systems and disjointed workflows. Contrasting with serial Bayesian optimization which individually selects experiments…

机器学习 · 计算机科学 2024-10-23 Amanda A. Volk , Kristofer G. Reyes , Jeffrey G. Ethier , Luke A. Baldwin

Distributed-memory implementations of numerical optimization algorithm, such as stochastic gradient descent (SGD), require interprocessor communication at every iteration of the algorithm. On modern distributed-memory clusters where…

分布式、并行与集群计算 · 计算机科学 2025-01-14 Aditya Devarakonda , Ramakrishnan Kannan

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…

We study stochastic algorithms for solving nonconvex optimization problems with a convex yet possibly nonsmooth regularizer, which find wide applications in many practical machine learning applications. However, compared to asynchronous…

机器学习 · 计算机科学 2018-09-18 Rui Zhu , Di Niu , Zongpeng Li

Asynchronous computation and gradient compression have emerged as two key techniques for achieving scalability in distributed optimization for large-scale machine learning. This paper presents a unified analysis framework for distributed…

最优化与控制 · 数学 2018-11-30 Sarit Khirirat , Hamid Reza Feyzmahdavian , Mikael Johansson

Most commonly used distributed machine learning systems are either synchronous or centralized asynchronous. Synchronous algorithms like AllReduce-SGD perform poorly in a heterogeneous environment, while asynchronous algorithms using a…

最优化与控制 · 数学 2018-09-26 Xiangru Lian , Wei Zhang , Ce Zhang , Ji Liu