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Normalization techniques have become a basic component in modern convolutional neural networks (ConvNets). In particular, many recent works demonstrate that promoting the orthogonality of the weights helps train deep models and improve…

计算机视觉与模式识别 · 计算机科学 2022-01-05 Sheng Liu , Xiao Li , Yuexiang Zhai , Chong You , Zhihui Zhu , Carlos Fernandez-Granda , Qing Qu

Deep neural networks (DNNs) enable high performance across domains but remain vulnerable to adversarial perturbations, limiting their use in safety-critical settings. Here, we introduce two quantum-optimization-based models for robust…

机器学习 · 计算机科学 2026-03-03 Wenxin Li , Wenchao Liu , Chuan Wang , Qi Gao , Yin Ma , Hai Wei , Kai Wen

The Deep neural networks (DNNs) have achieved great success on a variety of computer vision tasks, however, they are highly vulnerable to adversarial attacks. To address this problem, we propose to improve the local smoothness of the…

计算机视觉与模式识别 · 计算机科学 2019-09-23 Yaoyao Zhong , Weihong Deng

Weight decay is often used to ensure good generalization in the training practice of deep neural networks with batch normalization (BN-DNNs), where some convolution layers are invariant to weight rescaling due to the normalization. In this…

机器学习 · 计算机科学 2022-06-22 Ziquan Liu , Yufei Cui , Jia Wan , Yu Mao , Antoni B. Chan

Regularization plays a vital role in the context of deep learning by preventing deep neural networks from the danger of overfitting. This paper proposes a novel deep learning regularization method named as DL-Reg, which carefully reduces…

机器学习 · 计算机科学 2020-11-05 Maryam Dialameh , Ali Hamzeh , Hossein Rahmani

Deep neural network (DNN) architecture based models have high expressive power and learning capacity. However, they are essentially a black box method since it is not easy to mathematically formulate the functions that are learned within…

计算机视觉与模式识别 · 计算机科学 2018-03-02 Gaurav Goswami , Nalini Ratha , Akshay Agarwal , Richa Singh , Mayank Vatsa

This paper introduces a framework for systematic complexity scaling of deep neural network(DNN) based MIMO detectors. The model uses a fraction of the DNN inputs by scaling their values through weights that follow monotonically…

信号处理 · 电气工程与系统科学 2020-07-03 Abdullahi Mohammad , Christos Masouros , Yiannis Andreopoulos

Recent theoretical work has demonstrated that deep neural networks have superior performance over shallow networks, but their training is more difficult, e.g., they suffer from the vanishing gradient problem. This problem can be typically…

机器学习 · 统计学 2021-11-03 Lu Lu , Yanhui Su , George Em Karniadakis

Despite the impressive performance of deep neural networks (DNNs) on numerous vision tasks, they still exhibit yet-to-understand uncouth behaviours. One puzzling behaviour is the subtle sensitive reaction of DNNs to various noise attacks.…

计算机视觉与模式识别 · 计算机科学 2019-04-26 Modar Alfadly , Adel Bibi , Bernard Ghanem

Deep neural networks (DNNs) have demonstrated their great potential in recent years, exceeding the per-formance of human experts in a wide range of applications. Due to their large sizes, however, compressiontechniques such as weight…

计算机视觉与模式识别 · 计算机科学 2021-10-15 Wentao Chen , Hailong Qiu , Jian Zhuang , Chutong Zhang , Yu Hu , Qing Lu , Tianchen Wang , Yiyu Shi , Meiping Huang , Xiaowe Xu

The impressive expressive power of deep neural networks (DNNs) underlies their widespread applicability. However, while the theoretical capacity of deep architectures is high, the practical expressive power achieved through successful…

机器学习 · 计算机科学 2023-12-21 Zezhong Zhang , Feng Bao , Guannan Zhang

In recent studies, several asymptotic upper bounds on generalization errors on deep neural networks (DNNs) are theoretically derived. These bounds are functions of several norms of weights of the DNNs, such as the Frobenius and spectral…

机器学习 · 计算机科学 2019-05-23 Mete Ozay

Deep neural networks have achieved impressive performance on a variety of tasks, but their brittleness to distributional shifts remains a significant barrier to real-world deployment. In this paper, we propose a framework to analyse and…

机器学习 · 计算机科学 2026-05-21 Divij Khaitan , Subhashis Banerjee

Since the Lipschitz properties of convolutional neural networks (CNNs) are widely considered to be related to adversarial robustness, we theoretically characterize the $\ell_1$ norm and $\ell_\infty$ norm of 2D multi-channel convolutional…

机器学习 · 计算机科学 2021-08-17 Youwei Liang , Dong Huang

In this paper we investigate the family of functions representable by deep neural networks (DNN) with rectified linear units (ReLU). We give an algorithm to train a ReLU DNN with one hidden layer to *global optimality* with runtime…

机器学习 · 计算机科学 2018-03-01 Raman Arora , Amitabh Basu , Poorya Mianjy , Anirbit Mukherjee

Understanding when neural networks can be learned efficiently is a fundamental question in learning theory. Existing hardness results suggest that assumptions on both the input distribution and the network's weights are necessary for…

机器学习 · 计算机科学 2023-10-05 Amit Daniely , Nathan Srebro , Gal Vardi

Recurrent neural networks (RNNs) are a class of neural networks that have emerged from the paradigm of artificial intelligence and has enabled lots of interesting advances in the field of natural language processing. Interestingly, these…

无序系统与神经网络 · 物理学 2024-01-17 Mohamed Hibat-Allah , Roger G. Melko , Juan Carrasquilla

We initiate the study of the inherent tradeoffs between the size of a neural network and its robustness, as measured by its Lipschitz constant. We make a precise conjecture that, for any Lipschitz activation function and for most datasets,…

机器学习 · 计算机科学 2020-11-26 Sébastien Bubeck , Yuanzhi Li , Dheeraj Nagaraj

This paper studies the approximation capacity of neural networks with an arbitrary activation function and with norm constraint on the weights. Upper and lower bounds on the approximation error of these networks are computed for smooth…

数值分析 · 数学 2025-12-24 Francesco Paolo Maiale , Anastasiia Trofimova , Arturo De Marinis

Deep neural networks (DNNs) have found widespread applications in interpreting remote sensing (RS) imagery. However, it has been demonstrated in previous works that DNNs are vulnerable to different types of noises, particularly adversarial…

计算机视觉与模式识别 · 计算机科学 2023-09-18 Shaohui Mei , Jiawei Lian , Xiaofei Wang , Yuru Su , Mingyang Ma , Lap-Pui Chau