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The behavior of the network and its stability are governed by both dynamics of individual nodes as well as their topological interconnections. Attention mechanism as an integral part of neural network models was initially designed for…

机器学习 · 计算机科学 2022-12-20 Nooshin Bahador , Milad Lankarany

A significant advance in accelerating neural network training has been the development of normalization methods, permitting the training of deep models both faster and with better accuracy. These advances come with practical challenges: for…

机器学习 · 计算机科学 2019-03-05 Jasmine Collins , Johannes Balle , Jonathon Shlens

Recent studies revealed complex convergence dynamics in gradient-based methods, which has been little understood so far. Changing the step size to balance between high convergence rate and small generalization error may not be sufficient:…

机器学习 · 计算机科学 2021-04-07 Ilona Kulikovskikh

The study of Neural Tangent Kernels (NTKs) in deep learning has drawn increasing attention in recent years. NTKs typically actively change during training and are related to feature learning. In parallel, recent work on Gradient Descent…

机器学习 · 计算机科学 2025-07-18 Kaiqi Jiang , Jeremy Cohen , Yuanzhi Li

Understanding how deep neural networks learn remains a fundamental challenge in modern machine learning. A growing body of evidence suggests that training dynamics undergo a distinct phase transition, yet our understanding of this…

机器学习 · 计算机科学 2025-05-21 Zhanpeng Zhou , Yongyi Yang , Mahito Sugiyama , Junchi Yan

Fine-tuning pretrained models has become a standard approach to adapting pretrained knowledge to improve the accuracy on new sparse, imbalance datasets. However, issues arise when optimization falls into a collapsed state, where the model…

机器学习 · 计算机科学 2026-05-01 Nghia Bui , Lijing Wang

Deep learning has achieved remarkable success across a wide range of tasks, but its models often suffer from instability and vulnerability: small changes to the input may drastically affect predictions, while optimization can be hindered by…

机器学习 · 计算机科学 2025-10-30 Blaise Delattre

Delayed loss spikes have been reported in neural-network training, but existing theory mainly explains earlier non-monotone behavior caused by overly large fixed learning rates. We study one stylized hypothesis: normalization can postpone…

机器学习 · 统计学 2026-04-21 Peifeng Gao , Wenyi Fang , Yang Zheng , Difan Zou

Safe use of Deep Neural Networks (DNNs) requires careful testing. However, deployed models are often trained further to improve in performance. As rigorous testing and evaluation is expensive, triggers are in need to determine the degree of…

机器学习 · 计算机科学 2021-11-04 Konstantin Schürholt , Damian Borth

When training the parameters of a linear dynamical model, the gradient descent algorithm is likely to fail to converge if the squared-error loss is used as the training loss function. Restricting the parameter space to a smaller subset and…

机器学习 · 计算机科学 2020-07-13 Kamil Nar , Yuan Xue , Andrew M. Dai

Stochastic Gradient Descent (SGD) stands as a cornerstone optimization algorithm with proven real-world empirical successes but relatively limited theoretical understanding. Recent research has illuminated a key factor contributing to its…

机器学习 · 计算机科学 2024-01-24 Gregory Dexter , Borja Ocejo , Sathiya Keerthi , Aman Gupta , Ayan Acharya , Rajiv Khanna

Low-precision training has become crucial for reducing the computational and memory costs of large-scale deep learning. However, quantizing gradients introduces magnitude shrinkage, which can change how stochastic gradient descent (SGD)…

机器学习 · 计算机科学 2026-01-09 Vincent-Daniel Yun

A hallmark of intelligence is the ability to adapt in non-stationary environments, yet deep Reinforcement Learning (RL) agents often struggle in such settings. Prior studies introduce non-stationarity through abrupt shifts in features or…

机器学习 · 计算机科学 2026-05-28 Raymond Chua , Doina Precup , Blake Richards

Deep neural networks have shown remarkable performance when trained on independent and identically distributed data from a fixed set of classes. However, in real-world scenarios, it can be desirable to train models on a continuous stream of…

机器学习 · 计算机科学 2023-09-04 Nicolas Michel , Giovanni Chierchia , Romain Negrel , Jean-François Bercher , Toshihiko Yamasaki

This paper examines the impact of static sparsity on the robustness of a trained network to weight perturbations, data corruption, and adversarial examples. We show that, up to a certain sparsity achieved by increasing network width and…

计算机视觉与模式识别 · 计算机科学 2022-06-23 Lukas Timpl , Rahim Entezari , Hanie Sedghi , Behnam Neyshabur , Olga Saukh

It is well known that it is challenging to train deep neural networks and recurrent neural networks for tasks that exhibit long term dependencies. The vanishing or exploding gradient problem is a well known issue associated with these…

机器学习 · 计算机科学 2017-10-13 Eugene Vorontsov , Chiheb Trabelsi , Samuel Kadoury , Chris Pal

Stochastic Gradient Descent (SGD) based methods have been widely used for training large-scale machine learning models that also generalize well in practice. Several explanations have been offered for this generalization performance, a…

机器学习 · 计算机科学 2021-02-11 Yikai Zhang , Wenjia Zhang , Sammy Bald , Vamsi Pingali , Chao Chen , Mayank Goswami

In this work, we comprehensively reveal the learning dynamics of neural network with normalization, weight decay (WD), and SGD (with momentum), named as Spherical Motion Dynamics (SMD). Most related works study SMD by focusing on "effective…

机器学习 · 统计学 2020-11-30 Ruosi Wan , Zhanxing Zhu , Xiangyu Zhang , Jian Sun

In this work, we investigate the mechanism underlying loss spikes observed during neural network training. When the training enters a region with a lower-loss-as-sharper (LLAS) structure, the training becomes unstable, and the loss…

机器学习 · 计算机科学 2024-10-08 Xiaolong Li , Zhi-Qin John Xu , Zhongwang Zhang

Stabilizing vertical dynamics for on-road and off-road vehicles is an important research area that has been looked at mostly from the point of view of ride comfort. The advent of autonomous vehicles now shifts the focus more towards…

机器人学 · 计算机科学 2024-09-24 Ameya Salvi , John Coleman , Jake Buzhardt , Venkat Krovi , Phanindra Tallapragada