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Recently, over-parameterized deep networks, with increasingly more network parameters than training samples, have dominated the performances of modern machine learning. However, when the training data is corrupted, it has been well-known…

Machine Learning · Computer Science 2022-08-04 Sheng Liu , Zhihui Zhu , Qing Qu , Chong You

Backpropagation (BP) remains the dominant and most successful method for training parameters of deep neural network models. However, BP relies on two computationally distinct phases, does not provide a satisfactory explanation of biological…

Machine Learning · Computer Science 2025-11-12 Sander Dalm , Marcel van Gerven , Nasir Ahmad

Although much progress has been made towards robust deep learning, a significant gap in robustness remains between real-world perturbations and more narrowly defined sets typically studied in adversarial defenses. In this paper, we aim to…

Machine Learning · Computer Science 2020-10-09 Eric Wong , J. Zico Kolter

Neural networks can be fragile to input noise and adversarial attacks. In this work, we consider Convolutional Neural Ordinary Differential Equations (NODEs), a family of continuous-depth neural networks represented by dynamical systems,…

Machine Learning · Computer Science 2025-08-18 Muhammad Zakwan , Liang Xu , Giancarlo Ferrari-Trecate

This work proposes a new framework for deep learning that has been particularly tailored for hyperspectral image classification. We learn multiple levels of dictionaries in a robust fashion. The last layer is discriminative that learns a…

Image and Video Processing · Electrical Eng. & Systems 2019-12-24 Vanika Singhal , Hemant K. Aggarwal , Snigdha Tariyal , Angshul Majumdar

Based on the continuous interpretation of deep learning cast as an optimal control problem, this paper investigates the benefits of employing B-spline basis functions to parameterize neural network controls across the layers. Rather than…

Machine Learning · Computer Science 2021-03-02 Stefanie Günther , Will Pazner , Dongping Qi

Deep neural networks are susceptible to human imperceptible adversarial perturbations. One of the strongest defense mechanisms is \emph{Adversarial Training} (AT). In this paper, we aim to address two predominant problems in AT. First,…

Machine Learning · Computer Science 2023-08-21 Jianhui Sun , Sanchit Sinha , Aidong Zhang

Natural language understanding (NLU) models tend to rely on spurious correlations (i.e., dataset bias) to achieve high performance on in-distribution datasets but poor performance on out-of-distribution ones. Most of the existing debiasing…

Computation and Language · Computer Science 2022-09-14 Shihan Dou , Rui Zheng , Ting Wu , SongYang Gao , Junjie Shan , Qi Zhang , Yueming Wu , Xuanjing Huang

Non-adversarial robustness, also known as natural robustness, is a property of deep learning models that enables them to maintain performance even when faced with distribution shifts caused by natural variations in data. However, achieving…

Machine Learning · Computer Science 2023-05-25 Gorana Gojić , Vladimir Vincan , Ognjen Kundačina , Dragiša Mišković , Dinu Dragan

To advance the understanding of robust deep learning, we delve into the effects of adversarial training on self-supervised and supervised contrastive learning alongside supervised learning. Our analysis uncovers significant disparities…

Machine Learning · Computer Science 2023-06-08 Fatemeh Ghofrani , Mehdi Yaghouti , Pooyan Jamshidi

Deep learning has arguably achieved tremendous success in recent years. In simple words, deep learning uses the composition of many nonlinear functions to model the complex dependency between input features and labels. While neural networks…

Machine Learning · Statistics 2019-04-16 Jianqing Fan , Cong Ma , Yiqiao Zhong

Deep neural networks have achieved impressive results in many image classification tasks. However, since their performance is usually measured in controlled settings, it is important to ensure that their decisions remain correct when…

Computer Vision and Pattern Recognition · Computer Science 2022-09-07 Apostolos Modas

Recent research has highlighted a critical issue known as ``robust fairness", where robust accuracy varies significantly across different classes, undermining the reliability of deep neural networks (DNNs). A common approach to address this…

Machine Learning · Computer Science 2025-01-24 Gaojie Jin , Sihao Wu , Jiaxu Liu , Tianjin Huang , Ronghui Mu

The reliability of machine learning systems critically assumes that the associations between features and labels remain similar between training and test distributions. However, unmeasured variables, such as confounders, break this…

Machine Learning · Computer Science 2020-08-17 Megha Srivastava , Tatsunori Hashimoto , Percy Liang

Spurious correlations are everywhere. While humans often do not perceive them, neural networks are notorious for learning unwanted associations, also known as biases, instead of the underlying decision rule. As a result, practitioners are…

Machine Learning · Computer Science 2023-06-01 Moritz Vandenhirtz , Laura Manduchi , Ričards Marcinkevičs , Julia E. Vogt

Recent research has revealed that deep neural networks often take dataset biases as a shortcut to make decisions rather than understand tasks, leading to failures in real-world applications. In this study, we focus on the spurious…

Computation and Language · Computer Science 2023-06-23 Yanrui Du , Jing Yan , Yan Chen , Jing Liu , Sendong Zhao , Qiaoqiao She , Hua Wu , Haifeng Wang , Bing Qin

While neural networks have made significant strides in many AI tasks, they remain vulnerable to a range of noise types, including natural corruptions, adversarial noise, and low-resolution artifacts. Many existing approaches focus on…

Computer Vision and Pattern Recognition · Computer Science 2024-09-30 Zhiling Zhou , Zirui Liu , Chengming Xu , Yanwei Fu , Xinwei Sun

We propose robust methods to identify underlying Partial Differential Equation (PDE) from a given set of noisy time dependent data. We assume that the governing equation is a linear combination of a few linear and nonlinear differential…

Numerical Analysis · Mathematics 2023-03-03 Yuchen He , Sung Ha Kang , Wenjing Liao , Hao Liu , Yingjie Liu

Robustness in deep neural networks and machine learning algorithms in general is an open research challenge. In particular, it is difficult to ensure algorithmic performance is maintained on out-of-distribution inputs or anomalous instances…

Machine Learning · Computer Science 2022-11-23 Natalie Abreu , Nathan Vaska , Victoria Helus

In this paper, we present an initial attempt to learn evolution PDEs from data. Inspired by the latest development of neural network designs in deep learning, we propose a new feed-forward deep network, called PDE-Net, to fulfill two…

Numerical Analysis · Mathematics 2018-01-03 Zichao Long , Yiping Lu , Xianzhong Ma , Bin Dong