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While machine learning is going through an era of celebrated success, concerns have been raised about the vulnerability of its backbone: stochastic gradient descent (SGD). Recent approaches have been proposed to ensure the robustness of…

机器学习 · 统计学 2018-07-19 El Mahdi El Mhamdi , Rachid Guerraoui , Sébastien Rouault

Stochastic Gradient Descent (SGD) is a fundamental algorithm in machine learning, representing the optimization backbone for training several classic models, from regression to neural networks. Given the recent practical focus on…

分布式、并行与集群计算 · 计算机科学 2018-06-25 Dan Alistarh , Christopher De Sa , Nikola Konstantinov

This paper presents a modification of the data-driven sensor-based fault detection and diagnosis (SFDD) algorithm for online robot monitoring. Our version of the algorithm uses a collection of generative models, in particular restricted…

机器人学 · 计算机科学 2023-11-27 Alex Mitrevski , Paul G. Plöger

We study a distributed consensus-based stochastic gradient descent (SGD) algorithm and show that the rate of convergence involves the spectral properties of two matrices: the standard spectral gap of a weight matrix from the network…

最优化与控制 · 数学 2016-09-02 Avleen S. Bijral , Anand D. Sarwate , Nathan Srebro

We design and implement a distributed multinode synchronous SGD algorithm, without altering hyper parameters, or compressing data, or altering algorithmic behavior. We perform a detailed analysis of scaling, and identify optimal design…

分布式、并行与集群计算 · 计算机科学 2016-03-02 Dipankar Das , Sasikanth Avancha , Dheevatsa Mudigere , Karthikeyan Vaidynathan , Srinivas Sridharan , Dhiraj Kalamkar , Bharat Kaul , Pradeep Dubey

Stochastic Gradient Descent (SGD) is the most popular algorithm for training deep neural networks (DNNs). As larger networks and datasets cause longer training times, training on distributed systems is common and distributed SGD variants,…

机器学习 · 计算机科学 2019-06-17 Kwangmin Yu , Thomas Flynn , Shinjae Yoo , Nicholas D'Imperio

This paper considers the problem of Byzantine fault tolerance in distributed linear regression in a multi-agent system. However, the proposed algorithms are given for a more general class of distributed optimization problems, of which…

机器学习 · 计算机科学 2019-04-05 Nirupam Gupta , Nitin H. Vaidya

Stochastic gradient descent (SGD) is almost ubiquitously used for training non-convex optimization tasks. Recently, a hypothesis proposed by Keskar et al. [2017] that large batch methods tend to converge to sharp minimizers has received…

机器学习 · 统计学 2018-12-04 Xiaowu Dai , Yuhua Zhu

Stochastic gradient descent (SGD) method is popular for solving non-convex optimization problems in machine learning. This work investigates SGD from a viewpoint of graduated optimization, which is a widely applied approach for non-convex…

最优化与控制 · 数学 2023-08-15 Da Li , Jingjing Wu , Qingrun Zhang

Stochastic Gradient Descent (SGD) is a central tool in machine learning. We prove that SGD converges to zero loss, even with a fixed (non-vanishing) learning rate - in the special case of homogeneous linear classifiers with smooth monotone…

机器学习 · 统计学 2022-04-19 Mor Shpigel Nacson , Nathan Srebro , Daniel Soudry

Modern supervised learning techniques, particularly those using deep nets, involve fitting high dimensional labelled data sets with functions containing very large numbers of parameters. Much of this work is empirical. Interesting phenomena…

机器学习 · 统计学 2018-05-30 Partha P Mitra

Stochastic gradient descent (SGD) is the workhorse of modern machine learning. Sometimes, there are many different potential gradient estimators that can be used. When so, choosing the one with the best tradeoff between cost and variance is…

机器学习 · 计算机科学 2020-10-23 Tomas Geffner , Justin Domke

Distributed Stochastic Gradient Descent (SGD) when run in a synchronous manner, suffers from delays in waiting for the slowest learners (stragglers). Asynchronous methods can alleviate stragglers, but cause gradient staleness that can…

机器学习 · 统计学 2018-05-11 Sanghamitra Dutta , Gauri Joshi , Soumyadip Ghosh , Parijat Dube , Priya Nagpurkar

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

The article discusses distributed gradient-descent algorithms for computing local and global minima in nonconvex optimization. For local optimization, we focus on distributed stochastic gradient descent (D-SGD)--a simple network-based…

最优化与控制 · 数学 2020-09-17 Brian Swenson , Soummya Kar , H. Vincent Poor , José M. F. Moura , Aaron Jaech

In centralized settings, it is well known that stochastic gradient descent (SGD) avoids saddle points and converges to local minima in nonconvex problems. However, similar guarantees are lacking for distributed first-order algorithms. The…

最优化与控制 · 数学 2022-03-07 Brian Swenson , Ryan Murray , H. Vincent Poor , Soummya Kar

Stochastic gradient descent (SGD) algorithm and its variations have been effectively used to optimize neural network models. However, with the rapid growth of big data and deep learning, SGD is no longer the most suitable choice due to its…

机器学习 · 计算机科学 2024-02-13 Anuraganand Sharma

We study to what extent may stochastic gradient descent (SGD) be understood as a "conventional" learning rule that achieves generalization performance by obtaining a good fit to training data. We consider the fundamental stochastic convex…

机器学习 · 计算机科学 2023-01-13 Tomer Koren , Roi Livni , Yishay Mansour , Uri Sherman

This paper considers a general data-fitting problem over a networked system, in which many computing nodes are connected by an undirected graph. This kind of problem can find many real-world applications and has been studied extensively in…

机器学习 · 计算机科学 2017-04-14 Ying Zhang

We consider the problem of distributed estimation of an unknown deterministic scalar parameter (the target signal) in a wireless sensor network (WSN), where each sensor receives a single snapshot of the field. We assume that the observation…

信息论 · 计算机科学 2015-10-09 Qing Zhou , Di Li , Soummya Kar , Lauren Huie , H. Vincent Poor , Shuguang Cui