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Several recently proposed stochastic optimization methods that have been successfully used in training deep networks such as RMSProp, Adam, Adadelta, Nadam are based on using gradient updates scaled by square roots of exponential moving…

机器学习 · 计算机科学 2019-04-22 Sashank J. Reddi , Satyen Kale , Sanjiv Kumar

The Adam optimizer is widely used for transformer optimization in practice, which makes understanding the underlying optimization mechanisms an important problem. However, due to the Adam's complexity, theoretical analysis of how it…

机器学习 · 计算机科学 2025-03-04 Bingrui Li , Wei Huang , Andi Han , Zhanpeng Zhou , Taiji Suzuki , Jun Zhu , Jianfei Chen

In this research, we address critical concerns related to the numerical instability observed in 16-bit computations of machine learning models. Such instability, particularly when employing popular optimization algorithms like Adam, often…

机器学习 · 计算机科学 2025-06-18 Juyoung Yun

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

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

The choice of optimiser is important in deep learning, as it strongly influences model efficiency and speed of convergence. However, many commonly used optimisers encounter difficulties when applied to imbalanced and sequential datasets,…

One of the most popular training algorithms for deep neural networks is the Adaptive Moment Estimation (Adam) introduced by Kingma and Ba. Despite its success in many applications there is no satisfactory convergence analysis: only local…

机器学习 · 计算机科学 2022-10-06 Sebastian Bock , Martin Georg Weiß

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 training of deep neural networks is inherently a nonconvex optimization problem, yet standard approaches such as stochastic gradient descent (SGD) require simultaneous updates to all parameters, often leading to unstable convergence and…

机器学习 · 计算机科学 2025-08-07 Chengcheng Yan , Jiawei Xu , Zheng Peng , Qingsong Wang

We present a class of novel optimisers for training neural networks that makes use of the Riemannian metric naturally induced when the loss landscape is embedded in higher-dimensional space. This is the same metric that underlies common…

机器学习 · 计算机科学 2025-09-05 Thomas R. Harvey

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

A core issue with learning to optimize neural networks has been the lack of generalization to real world problems. To address this, we describe a system designed from a generalization-first perspective, learning to update optimizer…

机器学习 · 计算机科学 2021-06-09 Diogo Almeida , Clemens Winter , Jie Tang , Wojciech Zaremba

Training deep reinforcement learning (RL) agents necessitates overcoming the highly unstable nonconvex stochastic optimization inherent in the trial-and-error mechanism. To tackle this challenge, we propose a physics-inspired optimization…

机器学习 · 计算机科学 2024-12-10 Yao Lyu , Xiangteng Zhang , Shengbo Eben Li , Jingliang Duan , Letian Tao , Qing Xu , Lei He , Keqiang Li

The generalization performance of deep neural networks with regard to the optimization algorithm is one of the major concerns in machine learning. This performance can be affected by various factors. In this paper, we theoretically prove…

机器学习 · 计算机科学 2023-08-23 Mohammad Lashkari , Amin Gheibi

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…

Adaptive gradient methods have become popular in optimizing deep neural networks; recent examples include AdaGrad and Adam. Although Adam usually converges faster, variations of Adam, for instance, the AdaBelief algorithm, have been…

机器学习 · 计算机科学 2024-10-29 Kushal Chakrabarti , Nikhil Chopra

A number of recent adaptive optimizers improve the generalisation performance of Adam by essentially reducing the variance of adaptive stepsizes to get closer to SGD with momentum. Following the above motivation, we suppress the range of…

机器学习 · 计算机科学 2024-07-15 Guoqiang Zhang

In deep learning, different kinds of deep networks typically need different optimizers, which have to be chosen after multiple trials, making the training process inefficient. To relieve this issue and consistently improve the model…

机器学习 · 计算机科学 2024-12-02 Xingyu Xie , Pan Zhou , Huan Li , Zhouchen Lin , Shuicheng Yan

Heavy ball momentum is crucial in accelerating (stochastic) gradient-based optimization algorithms for machine learning. Existing heavy ball momentum is usually weighted by a uniform hyperparameter, which relies on excessive tuning.…

机器学习 · 计算机科学 2021-10-19 Tao Sun , Huaming Ling , Zuoqiang Shi , Dongsheng Li , Bao Wang

Adaptive Moment Estimation (Adam), which combines Adaptive Learning Rate and Momentum, would be the most popular stochastic optimizer for accelerating the training of deep neural networks. However, it is empirically known that Adam often…

机器学习 · 计算机科学 2022-06-15 Zeke Xie , Xinrui Wang , Huishuai Zhang , Issei Sato , Masashi Sugiyama