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Weight decay is a broadly used technique for training state-of-the-art deep networks from image classification to large language models. Despite its widespread usage and being extensively studied in the classical literature, its role…

机器学习 · 计算机科学 2024-11-06 Francesco D'Angelo , Maksym Andriushchenko , Aditya Varre , Nicolas Flammarion

Regularization in the optimization of deep neural networks is often critical to avoid undesirable over-fitting leading to better generalization of model. One of the most popular regularization algorithms is to impose L-2 penalty on the…

机器学习 · 计算机科学 2019-08-09 Kensuke Nakamura , Byung-Woo Hong

Learning rate configuration is a fundamental aspect of modern deep learning. The prevailing practice of applying a uniform learning rate across all layers overlooks the structural heterogeneity of Transformers, potentially limiting their…

机器学习 · 计算机科学 2026-05-28 Di He , Songjun Tu , Keyu Wang , Lu Yin , Shiwei Liu

The prevailing paradigm in large language model (LLM) development is to pretrain a base model, then perform further training to improve performance and model behavior. However, hyperparameter optimization and scaling laws have been studied…

机器学习 · 计算机科学 2026-02-12 Tessa Han , Sebastian Bordt , Hanlin Zhang , Sham Kakade

Recent work on pruning large language models (LLMs) has shown that one can eliminate a large number of parameters without compromising performance, making pruning a promising strategy to reduce LLM model size. Existing LLM pruning…

机器学习 · 计算机科学 2024-10-16 Haiquan Lu , Yefan Zhou , Shiwei Liu , Zhangyang Wang , Michael W. Mahoney , Yaoqing Yang

Large Language Models (LLMs) are widely deployed in real-world applications, yet little is known about their training dynamics at the token level. Evaluation typically relies on aggregated training loss, measured at the batch level, which…

计算与语言 · 计算机科学 2024-10-17 Andrea Pinto , Tomer Galanti , Randall Balestriero

In the real open world, data tends to follow long-tailed class distributions, motivating the well-studied long-tailed recognition (LTR) problem. Naive training produces models that are biased toward common classes in terms of higher…

计算机视觉与模式识别 · 计算机科学 2022-03-29 Shaden Alshammari , Yu-Xiong Wang , Deva Ramanan , Shu Kong

Weight decay is a simple yet powerful regularization technique that has been very widely used in training of deep neural networks (DNNs). While weight decay has attracted much attention, previous studies fail to discover some overlooked…

机器学习 · 计算机科学 2024-08-19 Zeke Xie , Zhiqiang Xu , Jingzhao Zhang , Issei Sato , Masashi Sugiyama

Weight decay is a standard technique to improve generalization performance in modern deep neural network optimization, and is also widely adopted in federated learning (FL) to prevent overfitting in local clients. In this paper, we first…

机器学习 · 计算机科学 2024-02-19 Junbo Li , Ang Li , Chong Tian , Qirong Ho , Eric P. Xing , Hongyi Wang

Unraveling the reasons behind the remarkable success and exceptional generalization capabilities of deep neural networks presents a formidable challenge. Recent insights from random matrix theory, specifically those concerning the spectral…

机器学习 · 统计学 2023-04-10 Xuanzhe Xiao , Zeng Li , Chuanlong Xie , Fengwei Zhou

Although deep learning has produced dazzling successes for applications of image, speech, and video processing in the past few years, most trainings are with suboptimal hyper-parameters, requiring unnecessarily long training times. Setting…

机器学习 · 计算机科学 2018-04-25 Leslie N. Smith

We propose adaptive weight decay, which automatically tunes the hyper-parameter for weight decay during each training iteration. For classification problems, we propose changing the value of the weight decay hyper-parameter on the fly based…

机器学习 · 计算机科学 2023-12-05 Amin Ghiasi , Ali Shafahi , Reza Ardekani

This study investigates how weight decay affects the update behavior of individual neurons in deep neural networks through a combination of applied analysis and experimentation. Weight decay can cause the expected magnitude and angular…

机器学习 · 计算机科学 2024-06-04 Atli Kosson , Bettina Messmer , Martin Jaggi

Recognition problems in long-tailed data, in which the sample size per class is heavily skewed, have gained importance because the distribution of the sample size per class in a dataset is generally exponential unless the sample size is…

机器学习 · 计算机科学 2024-04-30 Naoya Hasegawa , Issei Sato

Learning rate decay (lrDecay) is a \emph{de facto} technique for training modern neural networks. It starts with a large learning rate and then decays it multiple times. It is empirically observed to help both optimization and…

机器学习 · 计算机科学 2019-09-27 Kaichao You , Mingsheng Long , Jianmin Wang , Michael I. Jordan

Current transformer language models are trained with uniform computational budgets across all layers, implicitly assuming layer homogeneity. We challenge this assumption through empirical analysis of SmolLM2-135M, a 30-layer, 135M-parameter…

机器学习 · 计算机科学 2026-03-23 Tomasz Wietrzykowski

Weight decay is one of the standard tricks in the neural network toolbox, but the reasons for its regularization effect are poorly understood, and recent results have cast doubt on the traditional interpretation in terms of $L_2$…

机器学习 · 计算机科学 2018-10-30 Guodong Zhang , Chaoqi Wang , Bowen Xu , Roger Grosse

Weight decay is a widely used technique for training Deep Neural Networks(DNN). It greatly affects generalization performance but the underlying mechanisms are not fully understood. Recent works show that for layers followed by…

机器学习 · 计算机科学 2021-03-30 Yucong Zhou , Yunxiao Sun , Zhao Zhong

Weight decay is widely used as a regularizer in large language models, yet its precise role in shaping Transformer loss landscapes remains theoretically underexplored. This paper provides the first rigorous functional-analytic…

机器学习 · 计算机科学 2026-05-08 Abhijit Das , Sayantan Dutta

Weight decay is one of the most widely used forms of regularization in deep learning, and has been shown to improve generalization and robustness. The optimization objective driving weight decay is a sum of losses plus a term proportional…

机器学习 · 计算机科学 2023-07-07 Liu Yang , Jifan Zhang , Joseph Shenouda , Dimitris Papailiopoulos , Kangwook Lee , Robert D. Nowak
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