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Graph Neural Networks (GNNs) have made significant advancements in node classification, but their success relies on sufficient labeled nodes per class in the training data. Real-world graph data often exhibits a long-tail distribution with…

Machine Learning · Computer Science 2025-07-01 Qilong Yan , Yufeng Zhang , Jinghao Zhang , Jingpu Duan , Jian Yin

In guaranteeing the absence of adversarial examples in an instance's neighbourhood, certification mechanisms play an important role in demonstrating neural net robustness. In this paper, we ask if these certifications can compromise the…

Machine Learning · Computer Science 2024-06-13 Andrew C. Cullen , Shijie Liu , Paul Montague , Sarah M. Erfani , Benjamin I. P. Rubinstein

In this paper, we investigate the verification of quantized Graph Neural Networks (GNNs), where some fixed-width arithmetic is used to represent numbers. We introduce the linear-constrained validity (LVP) problem for verifying GNNs…

Logic in Computer Science · Computer Science 2025-08-14 Marco Sälzer , François Schwarzentruber , Nicolas Troquard

Adversarial patch attacks that craft the pixels in a confined region of the input images show their powerful attack effectiveness in physical environments even with noises or deformations. Existing certified defenses towards adversarial…

Computer Vision and Pattern Recognition · Computer Science 2021-11-05 Husheng Han , Kaidi Xu , Xing Hu , Xiaobing Chen , Ling Liang , Zidong Du , Qi Guo , Yanzhi Wang , Yunji Chen

In model predictive control (MPC) for hybrid systems, solving optimization problems efficiently and with guarantees on worst-case computational complexity is critical to satisfy the real-time constraints in these applications. These…

Systems and Control · Electrical Eng. & Systems 2025-04-11 Shamisa Shoja , Daniel Arnström , Daniel Axehill

We study certified robustness of machine learning classifiers against adversarial perturbations. In particular, we propose the first universally approximated certified robustness (UniCR) framework, which can approximate the robustness…

Machine Learning · Computer Science 2022-07-12 Hanbin Hong , Binghui Wang , Yuan Hong

Graph neural networks (GNNs) have recently emerged as a promising learning paradigm in learning graph-structured data and have demonstrated wide success across various domains such as recommendation systems, social networks, and electronic…

Machine Learning · Computer Science 2023-04-25 Ruixuan Wang , Fred Lin , Daniel Moore , Sriram Sankar , Xun Jiao

The robustness of deep neural networks has received significant interest recently, especially when being deployed in safety-critical systems, as it is important to analyze how sensitive the model output is under input perturbations. While…

Machine Learning · Computer Science 2022-03-29 Zhilu Wang , Chao Huang , Qi Zhu

Control Flow Graphs (CFGs) are critical for analyzing program execution and characterizing malware behavior. With the growing adoption of Graph Neural Networks (GNNs), CFG-based representations have proven highly effective for malware…

Cryptography and Security · Computer Science 2025-08-22 Hossein Shokouhinejad , Griffin Higgins , Roozbeh Razavi-Far , Hesamodin Mohammadian , Ali A. Ghorbani

Graph Neural Networks (GNNs) has been widely used in a variety of fields because of their great potential in representing graph-structured data. However, lacking of rigorous uncertainty estimations limits their application in high-stakes.…

Machine Learning · Computer Science 2025-01-07 Ting Wang , Zhixin Zhou , Rui Luo

Node injection attack on Graph Neural Networks (GNNs) is an emerging and practical attack scenario that the attacker injects malicious nodes rather than modifying original nodes or edges to affect the performance of GNNs. However, existing…

Machine Learning · Computer Science 2021-10-05 Shuchang Tao , Qi Cao , Huawei Shen , Junjie Huang , Yunfan Wu , Xueqi Cheng

Adversarial examples pose a security risk as they can alter decisions of a machine learning classifier through slight input perturbations. Certified robustness has been proposed as a mitigation where given an input $\mathbf{x}$, a…

Cryptography and Security · Computer Science 2024-09-10 Jiankai Jin , Olga Ohrimenko , Benjamin I. P. Rubinstein

We propose a novel method for computing exact pointwise robustness of deep neural networks for all convex $\ell_p$ norms. Our algorithm, GeoCert, finds the largest $\ell_p$ ball centered at an input point $x_0$, within which the output…

Machine Learning · Computer Science 2019-06-05 Matt Jordan , Justin Lewis , Alexandros G. Dimakis

Deep Neural Networks (DNNs) have become key components of many safety-critical applications such as autonomous driving and medical diagnosis. However, DNNs have been shown suffering from poor robustness because of their susceptibility to…

Machine Learning · Computer Science 2020-07-28 Wenjie Wan , Zhaodi Zhang , Yiwei Zhu , Min Zhang , Fu Song

There has been a rapid development and interest in adversarial training and defenses in the machine learning community in the recent years. One line of research focuses on improving the performance and efficiency of adversarial robustness…

Machine Learning · Computer Science 2022-12-07 Cheng Tang

Deep Neural Network-based systems are now the state-of-the-art in many robotics tasks, but their application in safety-critical domains remains dangerous without formal guarantees on network robustness. Small perturbations to sensor inputs…

Robotics · Computer Science 2020-03-10 Björn Lütjens , Michael Everett , Jonathan P. How

In this paper, we consider the weighted graph matching problem with partially disclosed correspondences between a number of anchor nodes. Our construction exploits recently introduced node signatures based on graph Laplacians, namely the…

Computer Vision and Pattern Recognition · Computer Science 2018-04-12 Nan Hu , Raif M. Rustamov , Leonidas Guibas

Contrastive learning methods based on InfoNCE loss are popular in node representation learning tasks on graph-structured data. However, its reliance on data augmentation and its quadratic computational complexity might lead to inconsistency…

Machine Learning · Computer Science 2022-12-12 Hengrui Zhang , Qitian Wu , Yu Wang , Shaofeng Zhang , Junchi Yan , Philip S. Yu

As Graph Neural Networks (GNNs) become increasingly prevalent in a variety of fields, from social network analysis to protein-protein interaction studies, growing concerns have emerged regarding the unauthorized utilization of personal…

Cryptography and Security · Computer Science 2023-10-12 Yixin Liu , Chenrui Fan , Xun Chen , Pan Zhou , Lichao Sun

Currently the most popular method of providing robustness certificates is randomized smoothing where an input is smoothed via some probability distribution. We propose a novel approach to randomized smoothing over multiplicative parameters.…

Machine Learning · Computer Science 2022-08-17 Nikita Muravev , Aleksandr Petiushko