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In our work, we propose a novel yet simple approach to obtain an adaptive learning rate for gradient-based descent methods on classification tasks. Instead of the traditional approach of selecting adaptive learning rates via the decayed…

机器学习 · 计算机科学 2023-04-21 Neel Mishra , Pawan Kumar

The performance of an optimizer on large-scale deep learning models depends critically on fine-tuning the learning rate, often requiring an extensive grid search over base learning rates, schedules, and other hyperparameters. In this paper,…

机器学习 · 计算机科学 2025-06-11 Ruichen Jiang , Ali Kavis , Aryan Mokhtari

Asynchronous distributed stochastic gradient descent methods have trouble converging because of stale gradients. A gradient update sent to a parameter server by a client is stale if the parameters used to calculate that gradient have since…

机器学习 · 统计学 2016-01-18 Augustus Odena

The classical AdaGrad method adapts the learning rate by dividing by the square root of a sum of squared gradients. Because this sum on the denominator is increasing, the method can only decrease step sizes over time, and requires a…

机器学习 · 计算机科学 2022-06-15 Aaron Defazio , Baoyu Zhou , Lin Xiao

When applied to training deep neural networks, stochastic gradient descent (SGD) often incurs steady progression phases, interrupted by catastrophic episodes in which loss and gradient norm explode. A possible mitigation of such events is…

机器学习 · 统计学 2017-09-06 Alice Schoenauer-Sebag , Marc Schoenauer , Michèle Sebag

Convergence detection of iterative stochastic optimization methods is of great practical interest. This paper considers stochastic gradient descent (SGD) with a constant learning rate and momentum. We show that there exists a transient…

机器学习 · 计算机科学 2020-08-28 Jerry Chee , Ping Li

The convergence behavior of mini-batch stochastic gradient descent (SGD) is highly sensitive to the batch size and learning rate settings. Recent theoretical studies have identified the existence of a critical batch size that minimizes…

机器学习 · 计算机科学 2025-08-08 Hikaru Umeda , Hideaki Iiduka

Stochastic gradient decent~(SGD) and its variants, including some accelerated variants, have become popular for training in machine learning. However, in all existing SGD and its variants, the sample size in each iteration~(epoch) of…

机器学习 · 统计学 2019-09-18 Shen-Yi Zhao , Hao Gao , Wu-Jun Li

We investigate the convergence rates and data sample sizes required for training a machine learning model using a stochastic gradient descent (SGD) algorithm, where data points are sampled based on either their loss value or uncertainty…

机器学习 · 计算机科学 2024-11-26 Daniel Haimovich , Dima Karamshuk , Fridolin Linder , Niek Tax , Milan Vojnovic

Stochastic gradient descent (SGD) is an inherently sequential training algorithm--computing the gradient at batch $i$ depends on the model parameters learned from batch $i-1$. Prior approaches that break this dependence do not honor them…

分布式、并行与集群计算 · 计算机科学 2020-06-05 Saeed Maleki , Madan Musuvathi , Todd Mytkowicz , Olli Saarikivi , Tianju Xu , Vadim Eksarevskiy , Jaliya Ekanayake , Emad Barsoum

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

Like many optimization algorithms, Stochastic Variational Inference (SVI) is sensitive to the choice of the learning rate. If the learning rate is too small, the optimization process may be slow, and the algorithm might get stuck in local…

计算工程、金融与科学 · 计算机科学 2024-12-23 Maximilian Dinkel , Gil Robalo Rei , Wolfgang A. Wall

In this paper, we propose a novel warm restart technique using a new logarithmic step size for the stochastic gradient descent (SGD) approach. For smooth and non-convex functions, we establish an $O(\frac{1}{\sqrt{T}})$ convergence rate for…

机器学习 · 计算机科学 2024-04-02 M. Soheil Shamaee , S. Fathi Hafshejani , Z. Saeidian

High sensitivity of neural architecture search (NAS) methods against their input such as step-size (i.e., learning rate) and search space prevents practitioners from applying them out-of-the-box to their own problems, albeit its purpose is…

机器学习 · 计算机科学 2019-05-22 Youhei Akimoto , Shinichi Shirakawa , Nozomu Yoshinari , Kento Uchida , Shota Saito , Kouhei Nishida

Pairwise learning refers to learning tasks where the loss function depends on a pair of instances. It instantiates many important machine learning tasks such as bipartite ranking and metric learning. A popular approach to handle streaming…

机器学习 · 计算机科学 2021-11-25 Zhenhuan Yang , Yunwen Lei , Puyu Wang , Tianbao Yang , Yiming Ying

This work studies social learning under non-stationary conditions. Although designed for online inference, classic social learning algorithms perform poorly under drifting conditions. To mitigate this drawback, we propose the Adaptive…

信号处理 · 电气工程与系统科学 2020-03-05 Virginia Bordignon , Vincenzo Matta , Ali H. Sayed

Stochastic variance reduced methods have shown strong performance in solving finite-sum problems. However, these methods usually require the users to manually tune the step-size, which is time-consuming or even infeasible for some…

最优化与控制 · 数学 2023-10-10 Binghui Xie , Chenhan Jin , Kaiwen Zhou , James Cheng , Wei Meng

Working with any gradient-based machine learning algorithm involves the tedious task of tuning the optimizer's hyperparameters, such as its step size. Recent work has shown how the step size can itself be optimized alongside the model…

机器学习 · 计算机科学 2022-10-18 Kartik Chandra , Audrey Xie , Jonathan Ragan-Kelley , Erik Meijer

One of the major issues in stochastic gradient descent (SGD) methods is how to choose an appropriate step size while running the algorithm. Since the traditional line search technique does not apply for stochastic optimization algorithms,…

最优化与控制 · 数学 2016-05-24 Conghui Tan , Shiqian Ma , Yu-Hong Dai , Yuqiu Qian

In machine learning applications, it is well known that carefully designed learning rate (step size) schedules can significantly improve the convergence of commonly used first-order optimization algorithms. Therefore how to set step size…

最优化与控制 · 数学 2023-10-19 Xiaoyu Wang , Mikael Johansson , Tong Zhang