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Stochastic first-order methods for empirical risk minimization employ gradient approximations based on sampled data in lieu of exact gradients. Such constructions introduce noise into the learning dynamics, which can be corrected through…

机器学习 · 计算机科学 2025-03-18 Sean Xiao , Sangwoo Park , Stefan Vlaski

Stochastic gradient descent (SGD) is a powerful optimization technique that is particularly useful in online learning scenarios. Its convergence analysis is relatively well understood under the assumption that the data samples are…

机器学习 · 计算机科学 2024-10-03 Ethan Che , Jing Dong , Xin T. Tong

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

Despite the strong theoretical guarantees that variance-reduced finite-sum optimization algorithms enjoy, their applicability remains limited to cases where the memory overhead they introduce (SAG/SAGA), or the periodic full gradient…

最优化与控制 · 数学 2021-03-24 Ayoub El Hanchi , David A. Stephens

Stochastic gradient descent (SGD) is an essential element in Machine Learning (ML) algorithms. Asynchronous parallel shared-memory SGD (AsyncSGD), including synchronization-free algorithms, e.g. HOGWILD!, have received interest in certain…

分布式、并行与集群计算 · 计算机科学 2021-02-19 Karl Bäckström , Ivan Walulya , Marina Papatriantafilou , Philippas Tsigas

We study the mixing properties for stochastic accelerated gradient descent (SAGD) on least-squares regression. First, we show that stochastic gradient descent (SGD) and SAGD are simulating the same invariant distribution. Motivated by this,…

最优化与控制 · 数学 2019-11-01 Peiyuan Zhang , Hadi Daneshmand , Thomas Hofmann

Stochastic Gradient Descent (SGD) and its Ruppert-Polyak averaged variant (ASGD) lie at the heart of modern large-scale learning, yet their theoretical properties in high-dimensional settings are rarely understood. In this paper, we provide…

机器学习 · 统计学 2025-10-15 Jiaqi Li , Zhipeng Lou , Johannes Schmidt-Hieber , Wei Biao Wu

The learning rate is an important tuning parameter for stochastic gradient descent (SGD) and can greatly influence its performance. However, appropriate selection of a learning rate schedule across all iterations typically requires a…

机器学习 · 计算机科学 2025-05-29 Nikola Surjanovic , Alexandre Bouchard-Côté , Trevor Campbell

This paper proposes a novel parallel stochastic gradient descent (SGD) method that is obtained by applying parallel sets of SGD iterations (each set operating on one node using the data residing in it) for finding the direction in each…

机器学习 · 计算机科学 2013-11-05 Dhruv Mahajan , S. Sathiya Keerthi , S. Sundararajan , Leon Bottou

Stein variational gradient descent (SVGD) is a prominent particle-based variational inference method used for sampling a target distribution. SVGD has attracted interest for application in machine-learning techniques such as Bayesian…

机器学习 · 计算机科学 2024-02-26 Yuya Kawamura , Satoshi Takabe

We analyze a batched variant of Stochastic Gradient Descent (SGD) with weighted sampling distribution for smooth and non-smooth objective functions. We show that by distributing the batches computationally, a significant speedup in the…

数值分析 · 数学 2017-03-02 Deanna Needell , Rachel Ward

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

We consider a class of stochastic smooth convex optimization problems under rather general assumptions on the noise in the stochastic gradient observation. As opposed to the classical problem setting in which the variance of noise is…

最优化与控制 · 数学 2024-08-23 Sasila Ilandarideva , Anatoli Juditsky , Guanghui Lan , Tianjiao Li

Distributed stochastic gradient descent (SGD) has attracted considerable recent attention due to its potential for scaling computational resources, reducing training time, and helping protect user privacy in machine learning. However, the…

机器学习 · 计算机科学 2025-02-27 Siyuan Yu , Wei Chen , H. Vincent Poor

Stein Variational Gradient Descent (SVGD) is a popular variational inference algorithm which simulates an interacting particle system to approximately sample from a target distribution, with impressive empirical performance across various…

机器学习 · 统计学 2023-10-09 Aniket Das , Dheeraj Nagaraj

The stochastic gradient descent (SGD) algorithm has been widely used in statistical estimation for large-scale data due to its computational and memory efficiency. While most existing works focus on the convergence of the objective function…

机器学习 · 统计学 2023-11-02 Xi Chen , Jason D. Lee , Xin T. Tong , Yichen Zhang

We analyze (stochastic) gradient descent (SGD) with delayed updates on smooth quasi-convex and non-convex functions and derive concise, non-asymptotic, convergence rates. We show that the rate of convergence in all cases consists of two…

机器学习 · 计算机科学 2021-06-17 Sebastian U. Stich , Sai Praneeth Karimireddy

In this paper, we proposed a new technique, {\em variance controlled stochastic gradient} (VCSG), to improve the performance of the stochastic variance reduced gradient (SVRG) algorithm. To avoid over-reducing the variance of gradient by…

机器学习 · 计算机科学 2021-02-22 Jia Bi , Steve R. Gunn

Stochastic gradient descent (SGD) is a popular stochastic optimization method in machine learning. Traditional parallel SGD algorithms, e.g., SimuParallel SGD, often require all nodes to have the same performance or to consume equal…

机器学习 · 计算机科学 2017-08-17 Cheng Daning , Li Shigang , Zhang Yunquan

The state-of-the-art deep learning algorithms rely on distributed training systems to tackle the increasing sizes of models and training data sets. Minibatch stochastic gradient descent (SGD) algorithm requires workers to halt forward/back…

分布式、并行与集群计算 · 计算机科学 2020-06-02 Qinggang Zhou , Yawen Zhang , Pengcheng Li , Xiaoyong Liu , Jun Yang , Runsheng Wang , Ru Huang