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Graph neural networks (GNNs) are emerging for machine learning research on graph-structured data. GNNs achieve state-of-the-art performance on many tasks, but they face scalability challenges when it comes to real-world applications that…

Machine Learning · Computer Science 2026-04-02 Shichang Zhang , Atefeh Sohrabizadeh , Cheng Wan , Zijie Huang , Ziniu Hu , Yewen Wang , Yingyan , Lin , Jason Cong , Yizhou Sun

Probabilistic verification problems of neural networks are concerned with formally analysing the output distribution of a neural network under a probability distribution of the inputs. Examples of probabilistic verification problems include…

Machine Learning · Computer Science 2025-07-11 David Boetius , Stefan Leue , Tobias Sutter

Graph Neural Networks (GNNs) have emerged as a powerful tool for learning from graph-structured data. However, even state-of-the-art architectures have limitations on what structures they can distinguish, imposing theoretical limits on what…

Machine Learning · Computer Science 2023-07-03 Eren Akbiyik , Florian Grötschla , Beni Egressy , Roger Wattenhofer

We consider the classic problem of Network Reliability. A network is given together with a source vertex, one or more target vertices, and probabilities assigned to each of the edges. Each edge appears in the network with its associated…

Combinatorics · Mathematics 2019-03-20 Amir Kafshdar Goharshady , Fatemeh Mohammadi

The deployment of Graph Neural Networks (GNNs) within Machine Learning as a Service (MLaaS) has opened up new attack surfaces and an escalation in security concerns regarding model-centric attacks. These attacks can directly manipulate the…

Cryptography and Security · Computer Science 2023-12-14 Bang Wu , Xingliang Yuan , Shuo Wang , Qi Li , Minhui Xue , Shirui Pan

Graph Neural Networks (GNNs) have demonstrated remarkable effectiveness on graph-based tasks. However, their predictive confidence is often miscalibrated, typically exhibiting under-confidence, which harms the reliability of their…

Machine Learning · Computer Science 2025-09-30 Jincheng Huang , Jie Xu , Xiaoshuang Shi , Ping Hu , Lei Feng , Xiaofeng Zhu

Graph Neural Networks (GNNs) are powerful machine learning prediction models on graph-structured data. However, GNNs lack rigorous uncertainty estimates, limiting their reliable deployment in settings where the cost of errors is…

Machine Learning · Computer Science 2023-11-01 Kexin Huang , Ying Jin , Emmanuel Candès , Jure Leskovec

Graph neural networks (GNNs) have emerged as the mainstream paradigm for graph representation learning due to their effective message aggregation. However, this advantage also amplifies biases inherent in graph topology, raising fairness…

Machine Learning · Computer Science 2025-11-18 Zhenqiang Ye , Jinjie Lu , Tianlong Gu , Fengrui Hao , Xuemin Wang

Graph neural networks (GNNs) excel in graph representation learning by integrating graph structure and node features. Existing GNNs, unfortunately, fail to account for the uncertainty of class probabilities that vary with the depth of the…

Machine Learning · Computer Science 2025-06-17 Qingfeng Chen , Shiyuan Li , Yixin Liu , Shirui Pan , Geoffrey I. Webb , Shichao Zhang

Applications on inference of biological networks have raised a strong interest in the problem of graph estimation in high-dimensional Gaussian graphical models. To handle this problem, we propose a two-stage procedure which first builds a…

Statistics Theory · Mathematics 2012-02-17 Christophe Giraud , Sylvie Huet , Nicolas Verzelen

Network data can be conveniently modeled as a graph signal, where data values are assigned to the nodes of a graph describing the underlying network topology. Successful learning from network data requires methods that effectively exploit…

Signal Processing · Electrical Eng. & Systems 2020-10-22 Samuel Pfrommer , Fernando Gama , Alejandro Ribeiro

Current graph representation learning techniques use Graph Neural Networks (GNNs) to extract features from dataset embeddings. In this work, we examine the quality of these embeddings and assess how changing them can affect the accuracy of…

Machine Learning · Computer Science 2022-11-30 S. Purchase , A. Zhao , R. D. Mullins

Recommender system is one of the most important information services on today's Internet. Recently, graph neural networks have become the new state-of-the-art approach to recommender systems. In this survey, we conduct a comprehensive…

Information Retrieval · Computer Science 2023-01-13 Chen Gao , Yu Zheng , Nian Li , Yinfeng Li , Yingrong Qin , Jinghua Piao , Yuhan Quan , Jianxin Chang , Depeng Jin , Xiangnan He , Yong Li

Graph Neural Networks (GNNs) have emerged as highly successful tools for graph-related tasks. However, real-world problems involve very large graphs, and the compute resources needed to fit GNNs to those problems grow rapidly. Moreover, the…

Machine Learning · Computer Science 2021-11-11 Eitan Kosman , Joel Oren , Dotan Di Castro

Graph neural networks (GNNs) have gained prominence in recommendation systems in recent years. By representing the user-item matrix as a bipartite and undirected graph, GNNs have demonstrated their potential to capture short- and…

Information Retrieval · Computer Science 2023-11-29 Daniele Malitesta , Claudio Pomo , Tommaso Di Noia

Numerically efficient and stable algorithms are essential for kernel-based regularized system identification. The state of art algorithms exploit the semiseparable structure of the kernel and are based on the generator representation of the…

Numerical Analysis · Mathematics 2025-11-04 Zhuohua Shen , Junpeng Zhang , Martin S. Andersen , Tianshi Chen

Graph filters that transform prior node values to posterior scores via edge propagation often support graph mining tasks affecting humans, such as recommendation and ranking. Thus, it is important to make them fair in terms of satisfying…

Machine Learning · Computer Science 2023-03-17 Emmanouil Krasanakis , Symeon Papadopoulos

In recent years, deep neural networks (DNNs) have known an important rise in popularity. However, although they are state-of-the-art in many machine learning challenges, they still suffer from several limitations. For example, DNNs require…

Machine Learning · Computer Science 2021-10-11 Carlos Lassance , Myriam Bontonou , Mounia Hamidouche , Bastien Pasdeloup , Lucas Drumetz , Vincent Gripon

The ability to discriminate between generative graph models is critical to understanding complex structural patterns in both synthetic graphs and the real-world structures that they emulate. While Graph Neural Networks (GNNs) have seen…

Machine Learning · Computer Science 2025-12-23 Janek Dyer , Jagdeep Ahluwalia , Javad Zarrin

Graph neural networks are becoming increasingly popular in the field of machine learning due to their unique ability to process data structured in graphs. They have also been applied in safety-critical environments where perturbations…

Machine Learning · Computer Science 2025-04-17 Tobias Ladner , Michael Eichelbeck , Matthias Althoff