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Fairness-aware graph neural networks (GNNs) have gained a surge of attention as they can reduce the bias of predictions on any demographic group (e.g., female) in graph-based applications. Although these methods greatly improve the…

Machine Learning · Computer Science 2024-03-05 Binchi Zhang , Yushun Dong , Chen Chen , Yada Zhu , Minnan Luo , Jundong Li

In this paper, we investigate the problem of recovering source information from an incomplete set of network coded data. We first study the theoretical performance of such systems under maximum a posteriori (MAP) decoding and derive the…

Information Theory · Computer Science 2015-03-16 Eirina Bourtsoulatze , Nikolaos Thomos , Pascal Frossard

We study the graph alignment problem over two independent Erd\H{o}s-R\'enyi graphs on $n$ vertices, with edge density $p$ falling into two regimes separated by the critical window around $p_c=\sqrt{\log n/n}$. Our result reveals an…

Probability · Mathematics 2025-03-27 Hang Du , Shuyang Gong , Rundong Huang

In this paper we raise the question of how to compress sparse graphs. By introducing the idea of redundancy, we find a way to measure the overlap of neighbors between nodes in networks. We exploit symmetry and information by making use of…

Statistical Mechanics · Physics 2015-04-01 Jie Sun , Erik M. Bollt , Daniel ben-Avraham

Graph colouring is a fundamental problem for networks, serving as a tool for avoiding conflicts via symmetry breaking, for example, avoiding multiple computer processes simultaneously updating the same resource. This paper considers a…

Data Structures and Algorithms · Computer Science 2025-11-26 Duncan Adamson , George B. Mertzios , Paul G. Spirakis

Neural networks are vulnerable to adversarially-constructed perturbations of their inputs. Most research so far has considered perturbations of a fixed magnitude under some $l_p$ norm. Although studying these attacks is valuable, there has…

Machine Learning · Computer Science 2019-10-02 Isaac Dunn , Hadrien Pouget , Tom Melham , Daniel Kroening

Graph neural networks (GNNs) are widely used in many applications. However, their robustness against adversarial attacks is criticized. Prior studies show that using unnoticeable modifications on graph topology or nodal features can…

Machine Learning · Computer Science 2020-02-27 Xianfeng Tang , Yandong Li , Yiwei Sun , Huaxiu Yao , Prasenjit Mitra , Suhang Wang

The adversarial attack literature contains a myriad of algorithms for crafting perturbations which yield pathological behavior in neural networks. In many cases, multiple algorithms target the same tasks and even enforce the same…

Machine Learning · Computer Science 2021-10-14 Hossein Souri , Pirazh Khorramshahi , Chun Pong Lau , Micah Goldblum , Rama Chellappa

Robustness to adversarial attacks is typically evaluated with adversarial accuracy. While essential, this metric does not capture all aspects of robustness and in particular leaves out the question of how many perturbations can be found for…

Machine Learning · Computer Science 2023-08-14 Raphael Olivier , Bhiksha Raj

Graph neural networks (GNNs) have achieved state-of-the-art performance in many graph-based tasks such as node classification and graph classification. However, many recent works have demonstrated that an attacker can mislead GNN models by…

Machine Learning · Computer Science 2022-05-10 Binghui Wang , Youqi Li , Pan Zhou

Recent studies have revealed that GNNs are vulnerable to adversarial attacks. To defend against such attacks, robust graph structure refinement (GSR) methods aim at minimizing the effect of adversarial edges based on node features, graph…

Machine Learning · Computer Science 2024-03-05 Yeonjun In , Kanghoon Yoon , Kibum Kim , Kijung Shin , Chanyoung Park

A fundamental problem in network experiments is selecting an appropriate experimental design in order to precisely estimate a given causal effect of interest. In this work, we propose the Conflict Graph Design, a general approach for…

Methodology · Statistics 2026-01-14 Vardis Kandiros , Charilaos Pipis , Constantinos Daskalakis , Christopher Harshaw

We consider the problem of making distributed computations robust to noise, in particular to worst-case (adversarial) corruptions of messages. We give a general distributed interactive coding scheme which simulates any asynchronous…

Data Structures and Algorithms · Computer Science 2017-02-27 Keren Censor-Hillel , Ran Gelles , Bernhard Haeupler

Deep neural networks are susceptible to \emph{adversarial} attacks. In computer vision, well-crafted perturbations to images can cause neural networks to make mistakes such as confusing a cat with a computer. Previous adversarial attacks…

Machine Learning · Computer Science 2019-09-12 Gamaleldin F. Elsayed , Ian Goodfellow , Jascha Sohl-Dickstein

In the literature, several different identification problems in graphs have been studied, the most widely studied such problems are the ones based on dominating sets as a tool of identification. Hereby, the objective is to separate any two…

Combinatorics · Mathematics 2024-12-24 Dipayan Chakraborty , Annegret K. Wagler

We study hyperedge-removal strategies for suppressing contagion on synthetic hypergraphs. Hypergraphs are generated from Erd\H{o}s--R\'enyi, Barab\'asi--Albert, and Watts--Strogatz seed graphs by promoting maximal cliques to hyperedges. For…

Physics and Society · Physics 2026-05-06 Mark M. Bailey , Matthew J. Hasenjager , Nina H. Fefferman

We define a graph-based rate optimization problem and consider its computation, which provides a unified approach to the computation of various theoretical limits, including the (conditional) graph entropy, rate-distortion functions and…

Information Theory · Computer Science 2025-03-18 Deheng Yuan , Tao Guo , Zhongyi Huang , Shi Jin

Over the past decade, Deep Learning has emerged as a useful and efficient tool to solve a wide variety of complex learning problems ranging from image classification to human pose estimation, which is challenging to solve using statistical…

Computer Vision and Pattern Recognition · Computer Science 2020-05-19 Ashutosh Chaubey , Nikhil Agrawal , Kavya Barnwal , Keerat K. Guliani , Pramod Mehta

Conventional coded computing frameworks are predominantly tailored for structured computations, such as matrix multiplication and polynomial evaluation. Such tasks allow the reuse of tools and techniques from algebraic coding theory to…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-13 Parsa Moradi , Hanzaleh Akbarinodehi , Mohammad Ali Maddah-Ali

We consider a communication scenario, in which an intruder tries to determine the modulation scheme of the intercepted signal. Our aim is to minimize the accuracy of the intruder, while guaranteeing that the intended receiver can still…

Machine Learning · Computer Science 2020-04-09 Muhammad Zaid Hameed , Andras Gyorgy , Deniz Gunduz