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Stochastic optimization algorithms using exponential moving averages of the past gradients, such as ADAM, RMSProp and AdaGrad, have been having great successes in many applications, especially in training deep neural networks. ADAM in…

机器学习 · 计算机科学 2026-01-30 Ruiqi Wang , Diego Klabjan

We introduce a novel framework for the estimation of the posterior distribution over the weights of a neural network, based on a new probabilistic interpretation of adaptive optimisation algorithms such as AdaGrad and Adam. We demonstrate…

机器学习 · 统计学 2020-07-21 Samuel Kessler , Arnold Salas , Vincent W. C. Tan , Stefan Zohren , Stephen Roberts

Road-safety inspection is an indispensable instrument for reducing road-accident fatalities contributed to road infrastructure. Recent work formalizes road-safety assessment in terms of carefully selected risk factors that are also known as…

计算机视觉与模式识别 · 计算机科学 2024-09-20 Marin Kačan , Marko Ševrović , Siniša Šegvić

Adaptive optimizers such as Adam have achieved great success in training large-scale models like large language models and diffusion models. However, they often generalize worse than non-adaptive methods, such as SGD on classical…

机器学习 · 计算机科学 2025-12-23 Yiheng Zhang , Shaowu Wu , Yuanzhuo Xu , Jiajun Wu , Shang Xu , Steve Drew , Xiaoguang Niu

This paper proposes a conjugate-gradient-based Adam algorithm blending Adam with nonlinear conjugate gradient methods and shows its convergence analysis. Numerical experiments on text classification and image classification show that the…

最优化与控制 · 数学 2020-03-04 Yu Kobayashi , Hideaki Iiduka

The learning rate is a crucial hyperparameter in deep learning, with its ideal value depending on the problem and potentially changing during training. In this paper, we investigate the practical utility of adaptive learning rate mechanisms…

机器学习 · 计算机科学 2025-08-08 Asma Atamna , Tom Maus , Fabian Kievelitz , Tobias Glasmachers

Focusing on the practical configuration needs of optimization algorithms in deep learning, this article concentrates on five major algorithms: SGD, Mini-batch SGD, Momentum, Adam, and Lion. It systematically analyzes the core advantages,…

机器学习 · 计算机科学 2025-11-27 Deng Fucheng , Wang Wanjie , Gong Ao , Wang Xiaoqi , Wang Fan

Practical results have shown that deep learning optimizers using small constant learning rates, hyperparameters close to one, and large batch sizes can find the model parameters of deep neural networks that minimize the loss functions. We…

机器学习 · 计算机科学 2022-08-23 Hideaki Iiduka

Diagnosing Autism Spectrum Disorder (ASD) is a challenging problem, and is based purely on behavioral descriptions of symptomology (DSM-5/ICD-10), and requires informants to observe children with disorder across different settings (e.g.…

神经元与认知 · 定量生物学 2020-03-04 Taban Eslami , Joseph S. Raiker , Fahad Saeed

Stochastic gradient descent (SGD) is the main approach for training deep networks: it moves towards the optimum of the cost function by iteratively updating the parameters of a model in the direction of the gradient of the loss evaluated on…

机器学习 · 计算机科学 2021-03-30 Loris Nanni , Gianluca Maguolo , Alessandra Lumini

Adaptive Moment Estimation (ADAM) is a very popular training algorithm for deep neural networks and belongs to the family of adaptive gradient descent optimizers. However to the best of the authors knowledge no complete convergence analysis…

机器学习 · 计算机科学 2021-02-22 Sebastian Bock , Martin Georg Weiß

Integrating adaptive learning rate and momentum techniques into SGD leads to a large class of efficiently accelerated adaptive stochastic algorithms, such as AdaGrad, RMSProp, Adam, AccAdaGrad, \textit{etc}. In spite of their effectiveness…

机器学习 · 计算机科学 2023-05-16 Li Shen , Congliang Chen , Fangyu Zou , Zequn Jie , Ju Sun , Wei Liu

Adam is one of the most popular optimization algorithms in deep learning. However, it is known that Adam does not converge in theory unless choosing a hyperparameter, i.e., $\beta_2$, in a problem-dependent manner. There have been many…

The Adam optimizer is currently presumably the most popular optimization method in deep learning. In this article we develop an ODE based method to study the Adam optimizer in a fast-slow scaling regime. For fixed momentum parameters and…

最优化与控制 · 数学 2025-11-07 Steffen Dereich , Arnulf Jentzen , Sebastian Kassing

Continual learning entails learning a sequence of tasks and balancing their knowledge appropriately. With limited access to old training samples, much of the current work in deep neural networks has focused on overcoming catastrophic…

机器学习 · 计算机科学 2023-10-16 Yilin Lyu , Liyuan Wang , Xingxing Zhang , Zicheng Sun , Hang Su , Jun Zhu , Liping Jing

Synchronous strategies with data parallelism, such as the Synchronous StochasticGradient Descent (S-SGD) and the model averaging methods, are widely utilizedin distributed training of Deep Neural Networks (DNNs), largely owing to itseasy…

机器学习 · 计算机科学 2022-11-04 Qing Ye , Yuhao Zhou , Mingjia Shi , Yanan Sun , Jiancheng Lv

Adam is known to perform significantly better than Stochastic Gradient Descent (SGD) in language models, a phenomenon for which a number of explanations have been proposed. In this work, we revisit this "optimizer gap" through a series of…

机器学习 · 计算机科学 2025-06-17 Teodora Srećković , Jonas Geiping , Antonio Orvieto

As deep learning models exponentially increase in size, optimizers such as Adam encounter significant memory consumption challenges due to the storage of first and second moment data. Current memory-efficient methods like Adafactor and CAME…

机器学习 · 计算机科学 2024-03-25 Pengxiang Zhao , Ping Li , Yingjie Gu , Yi Zheng , Stephan Ludger Kölker , Zhefeng Wang , Xiaoming Yuan

Distributed adaptive stochastic gradient methods have been widely used for large-scale nonconvex optimization, such as training deep learning models. However, their communication complexity on finding $\varepsilon$-stationary points has…

机器学习 · 计算机科学 2023-08-25 Congliang Chen , Li Shen , Wei Liu , Zhi-Quan Luo

In recent years, applying deep learning (DL) to assess structural damages has gained growing popularity in vision-based structural health monitoring (SHM). However, both data deficiency and class-imbalance hinder the wide adoption of DL in…

机器学习 · 计算机科学 2022-11-30 Yuqing Gao , Pengyuan Zhai , Khalid M. Mosalam