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Classically, ML models trained with stochastic gradient descent (SGD) are designed to minimize the average loss per example and use a distribution of training examples that remains {\em static} in the course of training. Research in recent…

机器学习 · 计算机科学 2020-06-02 Eliav Buchnik , Edith Cohen

One of the most common methods to train machine learning algorithms today is the stochastic gradient descent (SGD). In a distributed setting, SGD-based algorithms have been shown to converge theoretically under specific circumstances. A…

机器学习 · 计算机科学 2025-08-22 Soumya Sarkar , Shweta Jain

We introduce a novel and efficient algorithm called the stochastic approximate gradient descent (SAGD), as an alternative to the stochastic gradient descent for cases where unbiased stochastic gradients cannot be trivially obtained.…

机器学习 · 计算机科学 2020-02-14 Yixuan Qiu , Xiao Wang

The plain stochastic gradient descent and momentum stochastic gradient descent have extremely wide applications in deep learning due to their simple settings and low computational complexity. The momentum stochastic gradient descent uses…

机器学习 · 计算机科学 2021-06-15 Kun Zeng , Jinlan Liu , Zhixia Jiang , Dongpo Xu

Over the last decades, Stochastic Gradient Descent (SGD) has been intensively studied by the Machine Learning community. Despite its versatility and excellent performance, the optimization of large models via SGD still is a time-consuming…

机器学习 · 计算机科学 2025-12-01 Mauro DL Tosi , Martin Theobald

This paper analyzes the trajectories of stochastic gradient descent (SGD) to help understand the algorithm's convergence properties in non-convex problems. We first show that the sequence of iterates generated by SGD remains bounded and…

最优化与控制 · 数学 2020-06-22 Panayotis Mertikopoulos , Nadav Hallak , Ali Kavis , Volkan Cevher

This paper considers the scenario that multiple data owners wish to apply a machine learning method over the combined dataset of all owners to obtain the best possible learning output but do not want to share the local datasets owing to…

机器学习 · 计算机科学 2019-07-09 Le Trieu Phong , Tran Thi Phuong

We study stochastic gradient descent (SGD) with gradient clipping on convex functions under a generalized smoothness assumption called $(L_0,L_1)$-smoothness. Using gradient clipping, we establish a high probability convergence rate that…

最优化与控制 · 数学 2025-06-04 Ofir Gaash , Kfir Yehuda Levy , Yair Carmon

Stochastic gradient descent (SGD) optimization algorithms are key ingredients in a series of machine learning applications. In this article we perform a rigorous strong error analysis for SGD optimization algorithms. In particular, we prove…

数值分析 · 数学 2020-10-05 Arnulf Jentzen , Benno Kuckuck , Ariel Neufeld , Philippe von Wurstemberger

Deep learning algorithms - typically consisting of a class of deep neural networks trained by a stochastic gradient descent (SGD) optimization method - are nowadays the key ingredients in many artificial intelligence (AI) systems and have…

机器学习 · 计算机科学 2024-07-12 Steffen Dereich , Robin Graeber , Arnulf Jentzen

Stochastic gradient descent (SGD) now acts as a fundamental part of optimization in current machine learning. Meanwhile, deep learning architectures have shown outstanding performance in a wide range of fields, such as natural language…

机器学习 · 计算机科学 2026-01-27 Zhao Song , Song Yue

The implementation of a vast majority of machine learning (ML) algorithms boils down to solving a numerical optimization problem. In this context, Stochastic Gradient Descent (SGD) methods have long proven to provide good results, both in…

分布式、并行与集群计算 · 计算机科学 2015-10-06 Janis Keuper , Franz-Josef Pfreundt

Low precision operations can provide scalability, memory savings, portability, and energy efficiency. This paper proposes SWALP, an approach to low precision training that averages low-precision SGD iterates with a modified learning rate…

机器学习 · 计算机科学 2019-05-21 Guandao Yang , Tianyi Zhang , Polina Kirichenko , Junwen Bai , Andrew Gordon Wilson , Christopher De Sa

Adaptive gradient methods, especially Adam-type methods (such as Adam, AMSGrad, and AdaBound), have been proposed to speed up the training process with an element-wise scaling term on learning rates. However, they often generalize poorly…

机器学习 · 计算机科学 2021-07-20 Zhou Shao , Tong Lin

Stochastic gradient descent (SGD) is a ubiquitous algorithm for a variety of machine learning problems. Researchers and industry have developed several techniques to optimize SGD's runtime performance, including asynchronous execution and…

机器学习 · 计算机科学 2015-10-06 Christopher De Sa , Ce Zhang , Kunle Olukotun , Christopher Ré

Within the current sphere of deep learning research, despite the extensive application of optimization algorithms such as Stochastic Gradient Descent (SGD) and Adaptive Moment Estimation (Adam), there remains a pronounced inadequacy in…

机器学习 · 计算机科学 2025-10-30 Zhifeng Wang , Longlong Li , Chunyan Zeng

We aim to make stochastic gradient descent (SGD) adaptive to (i) the noise $\sigma^2$ in the stochastic gradients and (ii) problem-dependent constants. When minimizing smooth, strongly-convex functions with condition number $\kappa$, we…

最优化与控制 · 数学 2026-03-24 Sharan Vaswani , Benjamin Dubois-Taine , Reza Babanezhad

Averaging neural network weights sampled by a backbone stochastic gradient descent (SGD) is a simple yet effective approach to assist the backbone SGD in finding better optima, in terms of generalization. From a statistical perspective,…

机器学习 · 计算机科学 2022-09-20 Hao Guo , Jiyong Jin , Bin Liu

As one of the most fundamental stochastic optimization algorithms, stochastic gradient descent (SGD) has been intensively developed and extensively applied in machine learning in the past decade. There have been some modified SGD-type…

机器学习 · 计算机科学 2022-01-28 Ruinan Jin , Yu Xing , Xingkang He

Despite plenty of efforts focusing on improving the domain adaptation ability (DA) under unsupervised or few-shot semi-supervised settings, recently the solution of active learning started to attract more attention due to its suitability in…

机器学习 · 计算机科学 2022-04-05 Ming Xie , Yuxi Li , Yabiao Wang , Zekun Luo , Zhenye Gan , Zhongyi Sun , Mingmin Chi , Chengjie Wang , Pei Wang
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