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This paper studies a class of adaptive gradient based momentum algorithms that update the search directions and learning rates simultaneously using past gradients. This class, which we refer to as the "Adam-type", includes the popular…

机器学习 · 计算机科学 2019-03-12 Xiangyi Chen , Sijia Liu , Ruoyu Sun , Mingyi Hong

There are several applications of stochastic optimization where one can benefit from a robust estimate of the gradient. For example, domains such as distributed learning with corrupted nodes, the presence of large outliers in the training…

机器学习 · 统计学 2025-10-30 Fabian Schaipp , Guillaume Garrigos , Umut Simsekli , Robert Gower

With the increasing practicality of deep learning applications, practitioners are inevitably faced with datasets corrupted by noise from various sources such as measurement errors, mislabeling, and estimated surrogate inputs/outputs that…

机器学习 · 计算机科学 2023-08-30 Wendyam Eric Lionel Ilboudo , Taisuke Kobayashi , Takamitsu Matsubara

Adaptive optimization methods such as AdaGrad, RMSprop and Adam have been proposed to achieve a rapid training process with an element-wise scaling term on learning rates. Though prevailing, they are observed to generalize poorly compared…

机器学习 · 计算机科学 2019-04-22 Liangchen Luo , Yuanhao Xiong , Yan Liu , Xu Sun

Stochastic gradient descent (\textsc{Sgd}) methods are the most powerful optimization tools in training machine learning and deep learning models. Moreover, acceleration (a.k.a. momentum) methods and diagonal scaling (a.k.a. adaptive…

机器学习 · 统计学 2018-10-02 Qi Deng , Yi Cheng , Guanghui Lan

Adding noises to artificial neural network(ANN) has been shown to be able to improve robustness in previous work. In this work, we propose a new technique to compute the pathwise stochastic gradient estimate with respect to the standard…

机器学习 · 计算机科学 2021-02-10 Li Xiao , Zeliang Zhang , Yijie Peng

Adam is a widely used optimizer in neural network training due to its adaptive learning rate. However, because different data samples influence model updates to varying degrees, treating them equally can lead to inefficient convergence. To…

机器学习 · 统计学 2025-12-09 Gyu Yeol Kim , Min-hwan Oh

The stochastic gradient descent (SGD) algorithm has achieved remarkable success in training deep learning models. However, it has several limitations, including susceptibility to vanishing gradients, sensitivity to input data, and a lack of…

机器学习 · 计算机科学 2025-03-14 Chengcheng Yan , Jiawei Xu , Qingsong Wang , Zheng Peng

Stochastic optimizers are central to deep learning, yet widely used methods such as Adam and Adan can degrade in non-stationary or noisy environments, partly due to their reliance on momentum-based magnitude estimates. We introduce Ano, a…

机器学习 · 计算机科学 2025-11-11 Adrien Kegreisz

Deep learning optimization relies heavily on the assumption of smooth loss landscapes, a condition systematically violated by modern architectures due to non-smooth components such as ReLU activations and quantization operators. In such…

机器学习 · 计算机科学 2026-05-29 Ruoran Xu , Borong She , Xiaobo Jin , Qiufeng Wang

The paper presents the formulation, implementation, and evaluation of the ArcGD optimiser. The evaluation is conducted initially on a non-convex benchmark function and subsequently on a real-world ML dataset. The initial comparative study…

机器学习 · 计算机科学 2026-03-25 Nikhil Verma , Joonas Linnosmaa , Leonardo Espinosa-Leal , Napat Vajragupta

This paper introduces AdaSwarm, a novel gradient-free optimizer which has similar or even better performance than the Adam optimizer adopted in neural networks. In order to support our proposed AdaSwarm, a novel Exponentially weighted…

神经与进化计算 · 计算机科学 2024-05-28 Rohan Mohapatra , Snehanshu Saha , Carlos A. Coello Coello , Anwesh Bhattacharya , Soma S. Dhavala , Sriparna Saha

We introduce a new method inspired by Adam that enhances convergence speed and achieves better loss function minima. Traditional optimizers, including Adam, apply uniform or globally adjusted learning rates across neural networks without…

机器学习 · 计算机科学 2024-11-01 Remi Genet , Hugo Inzirillo

Adaptive gradient methods such as AdaGrad and its variants update the stepsize in stochastic gradient descent on the fly according to the gradients received along the way; such methods have gained widespread use in large-scale optimization…

机器学习 · 统计学 2021-04-20 Rachel Ward , Xiaoxia Wu , Leon Bottou

For various optimization methods, gradient descent-based algorithms can achieve outstanding performance and have been widely used in various tasks. Among those commonly used algorithms, ADAM owns many advantages such as fast convergence…

神经与进化计算 · 计算机科学 2021-05-05 Jiyang Bai , Yuxiang Ren , Jiawei Zhang

The graduated optimization approach is a method for finding global optimal solutions for nonconvex functions by using a function smoothing operation with stochastic noise. This paper makes three contributions regarding graduated…

机器学习 · 计算机科学 2026-01-27 Naoki Sato , Hideaki Iiduka

Stochastic gradient-based descent (SGD), have long been central to training large language models (LLMs). However, their effectiveness is increasingly being questioned, particularly in large-scale applications where empirical evidence…

机器学习 · 计算机科学 2025-07-03 Di Zhang , Yihang Zhang

Adaptive gradient methods have shown excellent performances for solving many machine learning problems. Although multiple adaptive gradient methods were recently studied, they mainly focus on either empirical or theoretical aspects and also…

最优化与控制 · 数学 2022-05-13 Feihu Huang , Junyi Li , Heng Huang

In continual learning, a learner has to keep learning from the data over its whole life time. A key issue is to decide what knowledge to keep and what knowledge to let go. In a neural network, this can be implemented by using a step-size…

机器学习 · 计算机科学 2024-02-01 Thomas Degris , Khurram Javed , Arsalan Sharifnassab , Yuxin Liu , Richard Sutton

When training neural models, it is common to combine multiple loss terms. The balancing of these terms requires considerable human effort and is computationally demanding. Moreover, the optimal trade-off between the loss term can change as…

机器学习 · 计算机科学 2020-06-29 Itzik Malkiel , Lior Wolf