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In this paper, we revisit techniques for uncertainty estimation within deep neural networks and consolidate a suite of techniques to enhance their reliability. Our investigation reveals that an integrated application of diverse…

Computer Vision and Pattern Recognition · Computer Science 2024-03-04 Yuting Li , Yingyi Chen , Xuanlong Yu , Dexiong Chen , Xi Shen

Robustness is pivotal for comprehending, designing, optimizing, and rehabilitating networks, with simulation attacks being the prevailing evaluation method. Simulation attacks are often time-consuming or even impractical, however, a more…

Social and Information Networks · Computer Science 2024-03-04 Wenjun Jiang , Peiyan Li , Tianlong Fan , Ting Li , Chuan-fu Zhang , Tao Zhang , Zong-fu Luo

Recent studies show that deep neural networks (DNN) are vulnerable to adversarial examples, which aim to mislead DNNs by adding perturbations with small magnitude. To defend against such attacks, both empirical and theoretical defense…

Machine Learning · Computer Science 2022-04-22 Zhuolin Yang , Linyi Li , Xiaojun Xu , Bhavya Kailkhura , Tao Xie , Bo Li

The objective of neural network (NN) robustness certification is to determine if a NN changes its predictions when mutations are made to its inputs. While most certification research studies pixel-level or a few geometrical-level and…

Cryptography and Security · Computer Science 2023-06-13 Yuanyuan Yuan , Shuai Wang , Zhendong Su

We study robustness verification of neural networks via metric algebraic geometry. For polynomial neural networks, certifying a robustness radius amounts to computing the distance to the algebraic decision boundary. We use the Euclidean…

Machine Learning · Statistics 2026-04-20 Yulia Alexandr , Hao Duan , Guido Montúfar

The resilience of convolutional neural networks against input variations and adversarial attacks remains a significant challenge in image recognition tasks. Motivated by the need for more robust and reliable image recognition systems, we…

Computer Vision and Pattern Recognition · Computer Science 2024-12-11 Longwei Wang , Xueqian Li , Zheng Zhang

We investigate the topics of sensitivity and robustness in feedforward and convolutional neural networks. Combining energy landscape techniques developed in computational chemistry with tools drawn from formal methods, we produce empirical…

Machine Learning · Statistics 2018-12-06 Timothy E. Wang , Yiming Gu , Dhagash Mehta , Xiaojun Zhao , Edgar A. Bernal

During the last decade, deep neural networks (DNN) have demonstrated impressive performances solving a wide range of problems in various domains such as medicine, finance, law, etc. Despite their great performances, they have long been…

Machine Learning · Computer Science 2020-10-13 Jiechieu Kameni Florentin Flambeau , Tsopze Norbert

It is well-known that standard neural networks, even with a high classification accuracy, are vulnerable to small $\ell_\infty$-norm bounded adversarial perturbations. Although many attempts have been made, most previous works either can…

Machine Learning · Computer Science 2021-06-15 Bohang Zhang , Tianle Cai , Zhou Lu , Di He , Liwei Wang

In safety-critical deep learning applications, robustness measures the ability of neural models that handle imperceptible perturbations in input data, which may lead to potential safety hazards. Existing pre-deployment robustness assessment…

Machine Learning · Computer Science 2025-08-27 Wenchuan Mu , Kwan Hui Lim

Graph Neural Networks (GNNs) have emerged as a prominent graph learning model in various graph-based tasks over the years. Nevertheless, due to the vulnerabilities of GNNs, it has been empirically shown that malicious attackers could easily…

Machine Learning · Computer Science 2025-12-23 Yushun Dong , Binchi Zhang , Hanghang Tong , Jundong Li

Robust Markov Decision Processes (RMDPs) have received significant research interest, offering an alternative to standard Markov Decision Processes (MDPs) that often assume fixed transition probabilities. RMDPs address this by optimizing…

Machine Learning · Computer Science 2024-05-06 Xinyi Ni , Lifeng Lai

Deep neural networks (DNNs) enable innovative applications of machine learning like image recognition, machine translation, or malware detection. However, deep learning is often criticized for its lack of robustness in adversarial settings…

Machine Learning · Computer Science 2018-03-14 Nicolas Papernot , Patrick McDaniel

Patch robustness certification is an emerging verification approach for defending against adversarial patch attacks with provable guarantees for deep learning systems. Certified recovery techniques guarantee the prediction of the sole true…

Machine Learning · Computer Science 2025-08-01 Qilin Zhou , Haipeng Wang , Zhengyuan Wei , W. K. Chan

Intensive algorithmic efforts have been made to enable the rapid improvements of certificated robustness for complex ML models recently. However, current robustness certification methods are only able to certify under a limited perturbation…

Machine Learning · Computer Science 2023-04-13 Zhuolin Yang , Zhikuan Zhao , Boxin Wang , Jiawei Zhang , Linyi Li , Hengzhi Pei , Bojan Karlas , Ji Liu , Heng Guo , Ce Zhang , Bo Li

Deep neural networks are vulnerable to adversarial attacks and hard to interpret because of their black-box nature. The recently proposed invertible network is able to accurately reconstruct the inputs to a layer from its outputs, thus has…

Machine Learning · Computer Science 2019-10-16 Juntang Zhuang , Nicha C. Dvornek , Xiaoxiao Li , Junlin Yang , James S. Duncan

Evidential clustering is an approach to clustering based on the use of Dempster-Shafer mass functions to represent cluster-membership uncertainty. In this paper, we introduce a neural-network based evidential clustering algorithm, called…

Machine Learning · Computer Science 2021-05-28 Thierry Denoeux

Recent studies have shown that deep neural networks (DNNs) are vulnerable to adversarial attacks, including evasion and backdoor (poisoning) attacks. On the defense side, there have been intensive efforts on improving both empirical and…

Machine Learning · Computer Science 2023-08-04 Maurice Weber , Xiaojun Xu , Bojan Karlaš , Ce Zhang , Bo Li

Training deep neural network classifiers that are certifiably robust against adversarial attacks is critical to ensuring the security and reliability of AI-controlled systems. Although numerous state-of-the-art certified training methods…

Machine Learning · Computer Science 2022-10-27 Pratik Vaishnavi , Kevin Eykholt , Amir Rahmati

Regression neural networks (NNs) are most commonly trained by minimizing the mean squared prediction error, which is highly sensitive to outliers and data contamination. Existing robust training methods for regression NNs are often limited…

Machine Learning · Statistics 2026-02-10 Abhik Ghosh , Suryasis Jana
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