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In the training of neural networks, adaptive moment estimation (Adam) typically converges fast but exhibits suboptimal generalization performance. A widely accepted explanation for its defect in generalization is that it often tends to…

机器学习 · 计算机科学 2026-03-10 Tao Shi , Liangming Chen , Long Jin , Mengchu Zhou

Typically, Ultra-deep neural network(UDNN) tends to yield high-quality model, but its training process is usually resource intensive and time-consuming. Modern GPU's scarce DRAM capacity is the primary bottleneck that hinders the…

机器学习 · 计算机科学 2019-06-21 Jinrong Guo , Wantao Liu , Wang Wang , Qu Lu , Songlin Hu , Jizhong Han , Ruixuan Li

Adaptive gradient methods, especially Adam-type methods (such as Adam, AMSGrad, and AdaBound), have been proposed to speed up the training process with an element-wise scaling term on learning rates. However, they often generalize poorly…

机器学习 · 计算机科学 2021-07-20 Zhou Shao , Tong Lin

Computing-in-Memory (CiM) architectures aim to reduce costly data transfers by performing arithmetic and logic operations in memory and hence relieve the pressure due to the memory wall. However, determining whether a given workload can…

硬件体系结构 · 计算机科学 2020-01-16 Di Gao , Dayane Reis , Xiaobo Sharon Hu , Cheng Zhuo

Averaging techniques such as Ruppert--Polyak averaging and exponential movering averaging (EMA) are powerful approaches to accelerate optimization procedures of stochastic gradient descent (SGD) optimization methods such as the popular ADAM…

最优化与控制 · 数学 2025-05-29 Arnulf Jentzen , Julian Kranz , Adrian Riekert

In this paper, we investigate the convergence properties of a wide class of Adam-family methods for minimizing quadratically regularized nonsmooth nonconvex optimization problems, especially in the context of training nonsmooth neural…

最优化与控制 · 数学 2023-10-16 Kuangyu Ding , Nachuan Xiao , Kim-Chuan Toh

Optimizer states are a major source of memory consumption for training neural networks, limiting the maximum trainable model within given memory budget. Compressing the optimizer states from 32-bit floating points to lower bitwidth is…

机器学习 · 计算机科学 2023-10-30 Bingrui Li , Jianfei Chen , Jun Zhu

Artificial neural networks (ANNs) show limited performance with scarce or imbalanced training data and face challenges with continuous learning, such as forgetting previously learned data after new tasks training. In contrast, the human…

机器学习 · 计算机科学 2024-10-22 Anthony Bazhenov , Pahan Dewasurendra , Giri P. Krishnan , Jean Erik Delanois

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 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

This paper introduces EXAdam ($\textbf{EX}$tended $\textbf{Adam}$), a novel optimization algorithm that builds upon the widely-used Adam optimizer. EXAdam incorporates two key enhancements: (1) new debiasing terms for improved moment…

机器学习 · 计算机科学 2025-05-19 Ahmed M. Adly

One of the primary reasons behind the success of neural networks has been the emergence of an array of new, highly-successful optimizers, perhaps most importantly the Adam optimizer. It is widely used for training neural networks, yet…

机器学习 · 计算机科学 2025-07-25 Benedikt Brantner

Large language models (LLMs) have demonstrated impressive generalization and emergent capabilities, yet their pre-training remains computationally expensive and sensitive to optimization dynamics. While Adam-based optimizers offer fast…

机器学习 · 计算机科学 2025-10-01 Junjie Wang , Pan Zhou , Yiming Dong , Huan Li , Jia Li , Xun Zhou , Qicheng Lao , Cong Fang , Zhouchen Lin

Given the massive cost of language model pre-training, a non-trivial improvement of the optimization algorithm would lead to a material reduction on the time and cost of training. Adam and its variants have been state-of-the-art for years,…

机器学习 · 计算机科学 2024-03-06 Hong Liu , Zhiyuan Li , David Hall , Percy Liang , Tengyu Ma

Adam is a popular and widely used adaptive gradient method in deep learning, which has also received tremendous focus in theoretical research. However, most existing theoretical work primarily analyzes its full-batch version, which differs…

机器学习 · 计算机科学 2025-10-14 Xuan Tang , Han Zhang , Yuan Cao , Difan Zou

Adam is applied widely to train neural networks. Different kinds of Adam methods with different features pop out. Recently two new adam optimizers, AdaBelief and Padam are introduced among the community. We analyze these two adam optimizers…

计算机视觉与模式识别 · 计算机科学 2021-10-05 Zhaoyang Zhu , Haozhe Sun , Chi Zhang

Full-parameter fine-tuning has become the go-to choice for adapting language models (LMs) to downstream tasks due to its excellent performance. As LMs grow in size, fine-tuning the full parameters of LMs requires a prohibitively large…

机器学习 · 计算机科学 2024-06-18 Yongkang Liu , Yiqun Zhang , Qian Li , Tong Liu , Shi Feng , Daling Wang , Yifei Zhang , Hinrich Schütze

Adam and AdamW are a class of default optimizers for training deep learning models in machine learning. These adaptive algorithms converge faster but generalize worse compared to SGD. In fact, their proved generalization error…

机器学习 · 计算机科学 2026-03-04 Feihu Huang , Guanyi Zhang , Songcan Chen

Modern language-model training is increasingly exposed to instability, degraded runs, and wasted compute, especially under aggressive learning-rate, scale, and runtime-stress conditions. This paper introduces Learn-by-Wire Guard…

人工智能 · 计算机科学 2026-05-20 Anis Radianis

Recent works have shown that line search methods greatly increase performance of traditional stochastic gradient descent methods on a variety of datasets and architectures [1], [2]. In this work we succeed in extending line search methods…

机器学习 · 计算机科学 2024-03-28 Philip Kenneweg , Leonardo Galli , Tristan Kenneweg , Barbara Hammer