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Deep artificial neural networks achieve surprising generalization abilities that remain poorly understood. In this paper, we present a new approach to analyzing generalization for deep feed-forward ReLU networks that takes advantage of the…

机器学习 · 计算机科学 2023-07-06 Ramchandran Muthukumar , Jeremias Sulam

Activation functions play a decisive role in determining the capacity of Deep Neural Networks as they enable neural networks to capture inherent nonlinearities present in data fed to them. The prior research on activation functions…

计算机视觉与模式识别 · 计算机科学 2023-05-31 Jamshaid Ul Rahman , Faiza Makhdoom , Dianchen Lu

In this paper, the robustness and accuracy of the deep neural network (DNN) was enhanced by introducing the $L_{2,\infty}$ normalization of the weight matrices of the DNN with Relu as the activation function. It is proved that the…

机器学习 · 统计学 2020-10-13 Lijia Yu , Xiao-Shan Gao

ReLU, a commonly used activation function in deep neural networks, is prone to the issue of "Dying ReLU". Several enhanced versions, such as ELU, SeLU, and Swish, have been introduced and are considered to be less commonly utilized.…

机器学习 · 计算机科学 2024-07-12 Jamshaid Ul Rahman , Rubiqa Zulfiqar , Asad Khan , Nimra

Recent studies demonstrated that the adversarially robust learning under $\ell_\infty$ attack is harder to generalize to different domains than standard domain adaptation. How to transfer robustness across different domains has been a key…

机器学习 · 计算机科学 2023-02-27 Yuyang Deng , Nidham Gazagnadou , Junyuan Hong , Mehrdad Mahdavi , Lingjuan Lyu

Adversarial training (AT) is one of the most effective ways for improving the robustness of deep convolution neural networks (CNNs). Just like common network training, the effectiveness of AT relies on the design of basic network…

机器学习 · 计算机科学 2022-12-06 Qing Guo , Felix Juefei-Xu , Changqing Zhou , Wei Feng , Yang Liu , Song Wang

Deep neural networks often suffer from poor performance or even training failure due to the ill-conditioned problem, the vanishing/exploding gradient problem, and the saddle point problem. In this paper, a novel method by acting the…

计算机视觉与模式识别 · 计算机科学 2021-07-12 Mei Liu , Liangming Chen , Xiaohao Du , Long Jin , Mingsheng Shang

Gradient descent (GD) type optimization schemes are the standard methods to train artificial neural networks (ANNs) with rectified linear unit (ReLU) activation. Such schemes can be considered as discretizations of gradient flows (GFs)…

机器学习 · 计算机科学 2022-09-27 Arnulf Jentzen , Adrian Riekert

While deep neural networks have achieved remarkable success in various computer vision tasks, they often fail to generalize to new domains and subtle variations of input images. Several defenses have been proposed to improve the robustness…

计算机视觉与模式识别 · 计算机科学 2021-09-08 Omid Poursaeed , Tianxing Jiang , Harry Yang , Serge Belongie , SerNam Lim

Training Deep Neural Networks (DNNs) with adversarial examples often results in poor generalization to test-time adversarial data. This paper investigates this issue, known as adversarially robust generalization, through the lens of…

机器学习 · 统计学 2024-06-11 Jiancong Xiao , Ruoyu Sun , Qi Long , Weijie J. Su

A pivotal aspect in the design of neural networks lies in selecting activation functions, crucial for introducing nonlinear structures that capture intricate input-output patterns. While the effectiveness of adaptive or trainable activation…

The widely used ReLU is favored for its hardware efficiency, {as the implementation at inference is a one bit sign case,} yet suffers from issues such as the ``dying ReLU'' problem, where during training, neurons fail to activate and…

机器学习 · 计算机科学 2025-10-31 Moshe Kimhi , Idan Kashani , Avi Mendelson , Chaim Baskin

This paper proposes adversarial attacks for Reinforcement Learning (RL) and then improves the robustness of Deep Reinforcement Learning algorithms (DRL) to parameter uncertainties with the help of these attacks. We show that even a naively…

机器学习 · 计算机科学 2017-12-12 Anay Pattanaik , Zhenyi Tang , Shuijing Liu , Gautham Bommannan , Girish Chowdhary

Adversarial robustness has become an emerging challenge for neural network owing to its over-sensitivity to small input perturbations. While being critical, we argue that solving this singular issue alone fails to provide a comprehensive…

机器学习 · 计算机科学 2021-03-02 Yu-Lin Tsai , Chia-Yi Hsu , Chia-Mu Yu , Pin-Yu Chen

Owing to security implications of adversarial vulnerability, adversarial robustness of deep metric learning models has to be improved. In order to avoid model collapse due to excessively hard examples, the existing defenses dismiss the…

机器学习 · 计算机科学 2022-03-04 Mo Zhou , Vishal M. Patel

Rectified linear activation units are important components for state-of-the-art deep convolutional networks. In this paper, we propose a novel S-shaped rectified linear activation unit (SReLU) to learn both convex and non-convex functions,…

计算机视觉与模式识别 · 计算机科学 2015-12-23 Xiaojie Jin , Chunyan Xu , Jiashi Feng , Yunchao Wei , Junjun Xiong , Shuicheng Yan

Neural networks are popular and useful in many fields, but they have the problem of giving high confidence responses for examples that are away from the training data. This makes the neural networks very confident in their prediction while…

机器学习 · 计算机科学 2024-10-15 Adrian Barbu , Hongyu Mou

The fact that deep neural networks are susceptible to crafted perturbations severely impacts the use of deep learning in certain domains of application. Among many developed defense models against such attacks, adversarial training emerges…

机器学习 · 计算机科学 2020-07-13 Anh Bui , Trung Le , He Zhao , Paul Montague , Olivier deVel , Tamas Abraham , Dinh Phung

Recently, convolutional neural networks (CNNs) have been used as a powerful tool to solve many problems of machine learning and computer vision. In this paper, we aim to provide insight on the property of convolutional neural networks, as…

机器学习 · 计算机科学 2016-07-20 Wenling Shang , Kihyuk Sohn , Diogo Almeida , Honglak Lee

The choice of activation functions in deep networks has a significant effect on the training dynamics and task performance. Currently, the most successful and widely-used activation function is the Rectified Linear Unit (ReLU). Although…

神经与进化计算 · 计算机科学 2017-10-30 Prajit Ramachandran , Barret Zoph , Quoc V. Le