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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

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

Asynchronous algorithms have attracted much attention recently due to the crucial demands on solving large-scale optimization problems. However, the accelerated versions of asynchronous algorithms are rarely studied. In this paper, we…

最优化与控制 · 数学 2018-02-28 Cong Fang , Yameng Huang , Zhouchen Lin

State-of-the-art training algorithms for deep learning models are based on stochastic gradient descent (SGD). Recently, many variations have been explored: perturbing parameters for better accuracy (such as in Extragradient), limiting SGD…

机器学习 · 计算机科学 2022-03-23 Amirkeivan Mohtashami , Martin Jaggi , Sebastian U. Stich

Although distributed computing can significantly reduce the training time of deep neural networks, scaling the training process while maintaining high efficiency and final accuracy is challenging. Distributed asynchronous training enjoys…

机器学习 · 计算机科学 2020-10-15 Ido Hakimi , Saar Barkai , Moshe Gabel , Assaf Schuster

Recent methods have significantly reduced the performance degradation of Binary Neural Networks (BNNs), but guaranteeing the effective and efficient training of BNNs is an unsolved problem. The main reason is that the estimated gradients…

计算机视觉与模式识别 · 计算机科学 2020-09-30 Junjie Liu , Dongchao Wen , Deyu Wang , Wei Tao , Tse-Wei Chen , Kinya Osa , Masami Kato

We propose new methods to speed up convergence of the Alternating Direction Method of Multipliers (ADMM), a common optimization tool in the context of large scale and distributed learning. The proposed method accelerates the speed of…

机器学习 · 计算机科学 2016-04-05 Changkyu Song , Sejong Yoon , Vladimir Pavlovic

Asynchronous execution is essential for scaling reinforcement learning (RL) to modern large model workloads, including large language models and AI agents, but it can fundamentally alter RL optimization behavior. While prior work on…

机器学习 · 计算机科学 2026-03-03 Haofeng Xu , Junwei Su , Yukun Tian , Lansong Diao , Zhengping Qian , Chuan Wu

This paper deals with a new accelerated path integral method, which iteratively searches optimal controls with a small number of iterations. This study is based on the recent observations that a path integral method for reinforcement…

系统与控制 · 计算机科学 2019-10-08 Masashi Okada , Tadahiro Taniguchi

Standard neural network training uses constant momentum (typically 0.9), a convention dating to 1964 with limited theoretical justification for its optimality. We derive a time-varying momentum schedule from the critically damped harmonic…

机器学习 · 计算机科学 2026-04-07 Ivan Pasichnyk

In this paper, we aim at providing an introduction to the gradient descent based optimization algorithms for learning deep neural network models. Deep learning models involving multiple nonlinear projection layers are very challenging to…

机器学习 · 计算机科学 2019-03-12 Jiawei Zhang

Recent works have shown that gradient-update alignment is a powerful signal for modulating optimizer updates, often leading to faster training. We promote this update-wise heuristic as a mathematically grounded principle for selecting and…

机器学习 · 计算机科学 2026-05-08 Jaerin Lee , Kyoung Mu Lee

The optimisation of neural networks can be sped up by orthogonalising the gradients before the optimisation step, ensuring the diversification of the learned representations. We orthogonalise the gradients of the layer's components/filters…

机器学习 · 计算机科学 2022-02-16 Mark Tuddenham , Adam Prügel-Bennett , Jonathan Hare

Communication overhead severely hinders the scalability of distributed machine learning systems. Recently, there has been a growing interest in using gradient compression to reduce the communication overhead of the distributed training.…

分布式、并行与集群计算 · 计算机科学 2021-05-19 Yuchen Zhong , Cong Xie , Shuai Zheng , Haibin Lin

We present novel techniques to accelerate the convergence of Deep Learning algorithms by conducting low overhead removal of redundant neurons -- apoptosis of neurons -- which do not contribute to model learning, during the training phase…

神经与进化计算 · 计算机科学 2016-10-05 Charles Siegel , Jeff Daily , Abhinav Vishnu

This paper deals with nonconvex stochastic optimization problems in deep learning and provides appropriate learning rates with which adaptive learning rate optimization algorithms, such as Adam and AMSGrad, can approximate a stationary…

最优化与控制 · 数学 2020-11-24 Hideaki Iiduka

Training a neural network (NN) typically relies on some type of curve-following method, such as gradient descent (GD) (and stochastic gradient descent (SGD)), ADADELTA, ADAM or limited memory algorithms. Convergence for these algorithms…

机器学习 · 计算机科学 2023-05-08 Michael A Kouritzin , Stephen Styles , Beatrice-Helen Vritsiou

In this paper we propose a unified two-phase scheme for convex optimization to accelerate: (1) the adaptive cubic regularization methods with exact/inexact Hessian matrices, and (2) the adaptive gradient method, without any knowledge of the…

最优化与控制 · 数学 2017-12-29 Bo Jiang , Tianyi Lin , Shuzhong Zhang

Early stopping monitors global validation loss and halts all parameter updates simultaneously, which is computationally costly for large transformers due to the extended time required for validation inference. We propose \textit{GradES}, a…

机器学习 · 计算机科学 2025-10-20 Qifu Wen , Xi Zeng , Zihan Zhou , Shuaijun Liu , Mehdi Hosseinzadeh , Ningxin Su , Reza Rawassizadeh

Large models are prevalent in modern machine learning scenarios, including deep learning, recommender systems, etc., which can have millions or even billions of parameters. Parallel algorithms have become an essential solution technique to…

机器学习 · 计算机科学 2018-10-23 Rui Zhu , Di Niu