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The notion of developing statistical methods in machine learning which are robust to adversarial perturbations in the underlying data has been the subject of increasing interest in recent years. A common feature of this work is that the…

统计理论 · 数学 2017-02-28 Dimitris Bertsimas , Martin S. Copenhaver

Recent works have introduced input-convex neural networks (ICNNs) as learning models with advantageous training, inference, and generalization properties linked to their convex structure. In this paper, we propose a novel feature-convex…

机器学习 · 计算机科学 2023-10-11 Samuel Pfrommer , Brendon G. Anderson , Julien Piet , Somayeh Sojoudi

Lipschitz continuity recently becomes popular in generative adversarial networks (GANs). It was observed that the Lipschitz regularized discriminator leads to improved training stability and sample quality. The mainstream implementations of…

机器学习 · 计算机科学 2019-04-03 Zhiming Zhou , Jian Shen , Yuxuan Song , Weinan Zhang , Yong Yu

Convolutional neural networks are currently the state-of-the-art algorithms for many remote sensing applications such as semantic segmentation or object detection. However, these algorithms are extremely sensitive to over-fitting, domain…

计算机视觉与模式识别 · 计算机科学 2021-05-31 Adrien Chan-Hon-Tong , Gaston Lenczner , Aurelien Plyer

The pursuit of explaining and improving generalization in deep learning has elicited efforts both in regularization techniques as well as visualization techniques of the loss surface geometry. The latter is related to the intuition…

机器学习 · 计算机科学 2019-07-23 Vinay Uday Prabhu , Dian Ang Yap , Joyce Xu , John Whaley

In this work, we describe a new approach that uses deep neural networks (DNN) to obtain regularization parameters for solving inverse problems. We consider a supervised learning approach, where a network is trained to approximate the…

数值分析 · 数学 2021-04-15 Babak Maboudi Afkham , Julianne Chung , Matthias Chung

Unfolding networks are interpretable networks emerging from iterative algorithms, incorporate prior knowledge of data structure, and are designed to solve inverse problems like compressed sensing, which deals with recovering data from…

机器学习 · 计算机科学 2026-02-09 Vicky Kouni

Machine learning techniques for the solution of inverse problems have become an attractive approach in the last decade, while their theoretical foundations are still in their infancy. In this chapter we want to pursue the study of…

数值分析 · 数学 2025-12-10 Martin Burger , Samira Kabri , Gitta Kutyniok , Yunseok Lee , Lukas Weigand

In this paper we use neural networks to learn governing equations from data. Specifically we reconstruct the right-hand side of a system of ODEs $\dot{x}(t) = f(t, x(t))$ directly from observed uniformly time-sampled data using a neural…

机器学习 · 计算机科学 2021-08-18 Elisa Negrini , Giovanna Citti , Luca Capogna

In this paper we aim to explore the general robustness of neural network classifiers by utilizing adversarial as well as natural perturbations. Different from previous works which mainly focus on studying the robustness of neural networks…

计算机视觉与模式识别 · 计算机科学 2020-10-06 Sadaf Gulshad , Jan Hendrik Metzen , Arnold Smeulders

Adversarial training is widely acknowledged as the most effective defense against adversarial attacks. However, it is also well established that achieving both robustness and generalization in adversarially trained models involves a…

计算与语言 · 计算机科学 2023-12-12 Enes Altinisik , Hassan Sajjad , Husrev Taha Sencar , Safa Messaoud , Sanjay Chawla

Deep neural networks are vulnerable to adversarial attacks. Ideally, a robust model shall perform well on both the perturbed training data and the unseen perturbed test data. It is found empirically that fitting perturbed training data is…

机器学习 · 计算机科学 2022-11-29 Jiancong Xiao , Yanbo Fan , Ruoyu Sun , Zhi-Quan Luo

Recently smoothing deep neural network based classifiers via isotropic Gaussian perturbation is shown to be an effective and scalable way to provide state-of-the-art probabilistic robustness guarantee against $\ell_2$ norm bounded…

机器学习 · 统计学 2020-02-19 Huijie Feng , Chunpeng Wu , Guoyang Chen , Weifeng Zhang , Yang Ning

Adversarial attacks have been shown to be highly effective at degrading the performance of deep neural networks (DNNs). The most prominent defense is adversarial training, a method for learning a robust model. Nevertheless, adversarial…

计算机视觉与模式识别 · 计算机科学 2021-09-07 Uriya Pesso , Koby Bibas , Meir Feder

In this paper, we propose a novel normalization method called gradient normalization (GN) to tackle the training instability of Generative Adversarial Networks (GANs) caused by the sharp gradient space. Unlike existing work such as gradient…

机器学习 · 计算机科学 2021-10-12 Yi-Lun Wu , Hong-Han Shuai , Zhi-Rui Tam , Hong-Yu Chiu

Adversarial attacks pose significant challenges to Machine Learning (ML) systems and especially Deep Neural Networks (DNNs) by subtly manipulating inputs to induce incorrect predictions. This paper investigates whether increasing the layer…

密码学与安全 · 计算机科学 2025-10-23 Mohamed ElShehaby , Ashraf Matrawy

For the past few years, Deep Neural Network (DNN) robustness has become a question of paramount importance. As a matter of fact, in sensitive settings misclassification can lead to dramatic consequences. Such misclassifications are likely…

机器学习 · 计算机科学 2018-10-04 Carlos Eduardo Rosar Kos Lassance , Vincent Gripon , Antonio Ortega

Deep neural networks obtained by standard training have been constantly plagued by adversarial examples. Although adversarial training demonstrates its capability to defend against adversarial examples, unfortunately, it leads to an…

计算机视觉与模式识别 · 计算机科学 2023-03-27 Hongjun Wang , Yisen Wang

Deep neural networks (DNNs) are vulnerable to adversarial examples where inputs with imperceptible perturbations mislead DNNs to incorrect results. Despite the potential risk they bring, adversarial examples are also valuable for providing…

计算机视觉与模式识别 · 计算机科学 2020-12-15 Chongzhi Zhang , Aishan Liu , Xianglong Liu , Yitao Xu , Hang Yu , Yuqing Ma , Tianlin Li

There are various inverse problems -- including reconstruction problems arising in medical imaging -- where one is often aware of the forward operator that maps variables of interest to the observations. It is therefore natural to ask…

图像与视频处理 · 电气工程与系统科学 2020-06-23 Jaweria Amjad , Zhaoyan Lyu , Miguel R. D. Rodrigues