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Graph neural networks (GNNs) are increasingly applied to hard optimization problems, often claiming superiority over classical heuristics. However, such claims risk being unsolid due to a lack of standard benchmarks on truly hard instances.…

Network modeling is a key enabler to achieve efficient network operation in future self-driving Software-Defined Networks. However, we still lack functional network models able to produce accurate predictions of Key Performance Indicators…

Networking and Internet Architecture · Computer Science 2021-06-15 Krzysztof Rusek , José Suárez-Varela , Paul Almasan , Pere Barlet-Ros , Albert Cabellos-Aparicio

Graph neural networks (GNNs) are popular to use for classifying structured data in the context of machine learning. But surprisingly, they are rarely applied to regression problems. In this work, we adopt GNN for a classic but challenging…

Machine Learning · Computer Science 2021-02-16 Wenzhong Yan , Di Jin , Zhidi Lin , Feng Yin

Graph neural networks (GNNs) rely mainly on the message-passing paradigm to propagate node features and build interactions, and different graph learning problems require different ranges of node interactions. In this work, we explore the…

Machine Learning · Computer Science 2026-01-08 Fang Wu , Siyuan Li , Stan Z. Li

This study addresses the limitations of the traditional analysis of message-passing, central to graph learning, by defining {\em \textbf{generalized propagation}} with directed and weighted graphs. The significance manifest in two ways.…

Machine Learning · Computer Science 2024-02-14 Chen Lin , Liheng Ma , Yiyang Chen , Wanli Ouyang , Michael M. Bronstein , Philip H. S. Torr

Given a network, the critical node detection problem finds a subset of nodes whose removal disrupts the network connectivity. Since many real-world systems are naturally modeled as graphs, assessing the vulnerability of the network is…

Discrete Mathematics · Computer Science 2025-12-02 Tuguldur Bayarsaikhan , Altannar Chinchuluun , Ashwin Arulselvan , Panos Pardalos

Many works show that node-level predictions of Graph Neural Networks (GNNs) are unrobust to small, often termed adversarial, changes to the graph structure. However, because manual inspection of a graph is difficult, it is unclear if the…

Machine Learning · Computer Science 2023-05-03 Lukas Gosch , Daniel Sturm , Simon Geisler , Stephan Günnemann

Ensuring neural network robustness is essential for the safe and reliable operation of robotic learning systems, especially in perception and decision-making tasks within real-world environments. This paper investigates the robustness of…

Machine Learning · Computer Science 2024-11-01 Abulikemu Abuduweili , Changliu Liu

Graph combinatorial optimization problems are widely applicable and notoriously difficult to compute; for example, consider the traveling salesman or facility location problems. In this paper, we explore the feasibility of using…

Machine Learning · Computer Science 2024-07-22 Randy Davila

We perform a massive evaluation of neural networks with architectures corresponding to random graphs of various types. We investigate various structural and numerical properties of the graphs in relation to neural network test accuracy. We…

Machine Learning · Computer Science 2020-12-03 Romuald A. Janik , Aleksandra Nowak

Graph convolutional neural networks (GCNNs) are nonlinear processing tools to learn representations from network data. A key property of GCNNs is their stability to graph perturbations. Current analysis considers deterministic perturbations…

Machine Learning · Computer Science 2021-06-22 Zhan Gao , Elvin Isufi , Alejandro Ribeiro

Graph Neural Networks (GNNs) have gathered increasing interest as learnable solvers of Boolean Satisfiability Problems (SATs), operating on graph representations of logical formulas. However, their performance degrades sharply on harder and…

Machine Learning · Computer Science 2026-03-09 Geri Skenderi

Traditionally, network analysis is based on local properties of vertices, like their degree or clustering, and their statistical behavior across the network in question. This paper develops an approach which is different in two respects. We…

Combinatorics · Mathematics 2016-10-12 Melanie Weber , Emil Saucan , Jürgen Jost

Deep neural networks have shown remarkable performance across a wide range of vision-based tasks, particularly due to the availability of large-scale datasets for training and better architectures. However, data seen in the real world are…

Machine Learning · Computer Science 2018-11-26 Muhammad Usama , Dong Eui Chang

This article proposes a Graph Neural Network (GNN) approach to estimate nonstabilizerness in quantum circuits, measured by the stabilizer R\'enyi entropy (SRE). Nonstabilizerness is a fundamental resource for quantum advantage, and…

Graph neural networks are experiencing a surge of popularity within the machine learning community due to their ability to adapt to non-Euclidean domains and instil inductive biases. Despite this, their stability, i.e., their robustness to…

Machine Learning · Computer Science 2021-02-19 Henry Kenlay , Dorina Thanou , Xiaowen Dong

Deep reinforcement learning (DRL) has been widely used in many important tasks of communication networks. In order to improve the perception ability of DRL on the network, some studies have combined graph neural networks (GNNs) with DRL,…

Cryptography and Security · Computer Science 2025-01-22 Xuzeng Li , Tao Zhang , Jian Wang , Zhen Han , Jiqiang Liu , Jiawen Kang , Dusit Niyato , Abbas Jamalipour

Graph Neural Networks (GNNs) have become widely-used models for semi-supervised learning. However, the robustness of GNNs in the presence of label noise remains a largely under-explored problem. In this paper, we consider an important yet…

Machine Learning · Computer Science 2023-02-28 Siyi Qian , Haochao Ying , Renjun Hu , Jingbo Zhou , Jintai Chen , Danny Z. Chen , Jian Wu

In this paper, we propose a perturbation framework to measure the robustness of graph properties. Although there are already perturbation methods proposed to tackle this problem, they are limited by the fact that the strength of the…

Social and Information Networks · Computer Science 2019-01-29 Yali Wan , Marina Meila

Network reliability measures the probability that a target node is reachable from a source node in an uncertain graph, i.e., a graph where every edge is associated with a probability of existence. In this paper, we investigate the novel and…

Databases · Computer Science 2020-05-26 Xiangyu Ke , Arijit Khan , Mohammad Al Hasan , Rojin Rezvansangsari