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We showcase important features of the dynamics of the Stochastic Gradient Descent (SGD) in the training of neural networks. We present empirical observations that commonly used large step sizes (i) lead the iterates to jump from one side of…

机器学习 · 计算机科学 2023-06-08 Maksym Andriushchenko , Aditya Varre , Loucas Pillaud-Vivien , Nicolas Flammarion

Corrupting the input and hidden layers of deep neural networks (DNNs) with multiplicative noise, often drawn from the Bernoulli distribution (or 'dropout'), provides regularization that has significantly contributed to deep learning's…

机器学习 · 统计学 2015-06-11 Eric Nalisnick , Anima Anandkumar , Padhraic Smyth

It has been shown that perturbing the input during training implicitly regularises the gradient of the learnt function, leading to smoother models and enhancing generalisation. However, previous research mostly considered the addition of…

机器学习 · 计算机科学 2025-12-09 Albert Kjøller Jacobsen , Johanna Marie Gegenfurtner , Georgios Arvanitidis

The capacity of deep learning models is often large enough to both learn the underlying statistical signal and overfit to noise in the training set. This noise memorization can be harmful especially for data with a low signal-to-noise ratio…

机器学习 · 计算机科学 2025-10-21 Wei Huang , Andi Han , Yujin Song , Yilan Chen , Denny Wu , Difan Zou , Taiji Suzuki

Recent advances in Graph Neural Networks (GNNs) have explored the potential of random noise as an input feature to enhance expressivity across diverse tasks. However, naively incorporating noise can degrade performance, while architectures…

机器学习 · 计算机科学 2025-02-05 Xiyuan Wang , Muhan Zhang

It has been shown that injecting noise into the neural network weights during the training process leads to a better generalization of the resulting model. Noise injection in the distributed setup is a straightforward technique and it…

机器学习 · 计算机科学 2018-10-01 Linara Adilova , Nathalie Paul , Peter Schlicht

What enables Stochastic Gradient Descent (SGD) to achieve better generalization than Gradient Descent (GD) in Neural Network training? This question has attracted much attention. In this paper, we study the distribution of the Stochastic…

机器学习 · 计算机科学 2019-10-28 Abhishek Panigrahi , Raghav Somani , Navin Goyal , Praneeth Netrapalli

Stochastic Gradient Langevin Dynamics infuses isotropic gradient noise to SGD to help navigate pathological curvature in the loss landscape for deep networks. Isotropic nature of the noise leads to poor scaling, and adaptive methods based…

机器学习 · 计算机科学 2019-06-13 Chandrasekaran Anirudh Bhardwaj

Deep Neural Networks (DNNs) have revolutionized a wide range of industries, from healthcare and finance to automotive, by offering unparalleled capabilities in data analysis and decision-making. Despite their transforming impact, DNNs face…

机器学习 · 计算机科学 2024-02-08 Zhenyu Liu , Garrett Gagnon , Swagath Venkataramani , Liu Liu

One way to avoid overfitting in machine learning is to use model parameters distributed according to a Bayesian posterior given the data, rather than the maximum likelihood estimator. Stochastic gradient Langevin dynamics (SGLD) is one…

机器学习 · 统计学 2017-12-05 Gaétan Marceau-Caron , Yann Ollivier

Heavy-tailed noise in nonconvex stochastic optimization has garnered increasing research interest, as empirical studies, including those on training attention models, suggest it is a more realistic gradient noise condition. This paper…

最优化与控制 · 数学 2026-04-17 Shuhua Yu , Dusan Jakovetic , Soummya Kar

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

The empirical success of deep learning is often attributed to SGD's mysterious ability to avoid sharp local minima in the loss landscape, as sharp minima are known to lead to poor generalization. Recently, empirical evidence of heavy-tailed…

机器学习 · 计算机科学 2022-05-12 Xingyu Wang , Sewoong Oh , Chang-Han Rhee

Stochastic Gradient Descent (SGD) is the workhorse algorithm of deep learning technology. At each step of the training phase, a mini batch of samples is drawn from the training dataset and the weights of the neural network are adjusted…

无序系统与神经网络 · 物理学 2022-09-07 Francesca Mignacco , Pierfrancesco Urbani

This paper studies the distributed optimization problem under the influence of heavy-tailed gradient noises. Here, a heavy-tailed noise means that the noise does not necessarily satisfy the bounded variance assumption. Instead, it satisfies…

最优化与控制 · 数学 2025-05-12 Chao Sun , Huiming Zhang , Bo Chen , Li Yu

This work studies training instabilities of behavior cloning with deep neural networks. We observe that minibatch SGD updates to the policy network during training result in sharp oscillations in long-horizon rewards, despite negligibly…

机器学习 · 计算机科学 2023-10-18 Adam Block , Dylan J. Foster , Akshay Krishnamurthy , Max Simchowitz , Cyril Zhang

In recent years, the hardware implementation of neural networks, leveraging physical coupling and analog neurons has substantially increased in relevance. Such nonlinear and complex physical networks provide significant advantages in speed…

机器学习 · 计算机科学 2024-12-05 Nadezhda Semenova , Daniel Brunner

Stochastic gradient descent (SGD) has been the dominant optimization method for training deep neural networks due to its many desirable properties. One of the more remarkable and least understood quality of SGD is that it generalizes…

机器学习 · 计算机科学 2020-07-03 Erhan Bilal

Recently, pre-trained language models (PLMs) have been increasingly adopted in spoken language understanding (SLU). However, automatic speech recognition (ASR) systems frequently produce inaccurate transcriptions, leading to noisy inputs…

计算与语言 · 计算机科学 2024-10-22 Yeonjoon Jung , Jaeseong Lee , Seungtaek Choi , Dohyeon Lee , Minsoo Kim , Seung-won Hwang

Graph Neural Networks (GNNs) are powerful at solving graph classification tasks, yet applied problems often contain noisy labels. In this work, we study GNN robustness to label noise, demonstrate GNN failure modes when models struggle to…