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In this work we provide a new technique to design fast approximation algorithms for graph problems where the points of the graph lie in a metric space. Specifically, we present a sampling approach for such metric graphs that, using a…

Data Structures and Algorithms · Computer Science 2018-07-26 Hossein Esfandiari , Michael Mitzenmacher

Recent advances have demonstrated the effectiveness of graph-based learning on relational databases (RDBs) for predictive tasks. Such approaches require transforming RDBs into graphs, a process we refer to as RDB-to-graph modeling, where…

Machine Learning · Computer Science 2025-10-29 Dongwon Choi , Sunwoo Kim , Juyeon Kim , Kyungho Kim , Geon Lee , Shinhwan Kang , Myunghwan Kim , Kijung Shin

Various networks are broadly and deeply applied in real-life applications. Reliability is the most important index for measuring the performance of all network types. Among the various algorithms, only implicit enumeration algorithms, such…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-21 Wei-Chang Yeh

Network controllability robustness reflects how well a networked system can maintain its controllability against destructive attacks. Its measure is quantified by a sequence of values that record the remaining controllability of the network…

Physics and Society · Physics 2022-10-14 Yang Lou , Yaodong He , Lin Wang , Kim Fung Tsang , Guanrong Chen

This paper introduces a probabilistic approach for tracking the dynamics of unweighted and directed graphs using state-space models (SSMs). Unlike conventional topology inference methods that assume static graphs and generate point-wise…

Signal Processing · Electrical Eng. & Systems 2024-09-13 Victor M. Tenorio , Elvin Isufi , Geert Leus , Antonio G. Marques

Network calculus is an elegant theory which uses envelopes to determine the worst-case performance bounds in a network. Statistical network calculus is the probabilistic version of network calculus, which strives to retain the simplicity of…

Networking and Internet Architecture · Computer Science 2012-12-11 Kishore Angrishi

The robustness of deep neural networks is crucial to modern AI-enabled systems and should be formally verified. Sigmoid-like neural networks have been adopted in a wide range of applications. Due to their non-linearity, Sigmoid-like…

Machine Learning · Computer Science 2022-08-31 Zhaodi Zhang , Yiting Wu , Si Liu , Jing Liu , Min Zhang

Stochastic network design is a general framework for optimizing network connectivity. It has several applications in computational sustainability including spatial conservation planning, pre-disaster network preparation, and river network…

Artificial Intelligence · Computer Science 2016-12-02 Xiaojian Wu , Akshat Kumar , Daniel Sheldon , Shlomo Zilberstein

Neural networks achieve strong empirical performance, but robustness concerns still hinder deployment in safety-critical applications. Formal verification provides robustness guarantees, but current methods face a scalability-completeness…

Machine Learning · Computer Science 2026-02-06 Wenting Li , Saif R. Kazi , Russell Bent , Duo Zhou , Huan Zhang

Most sampling techniques for online social networks (OSNs) are based on a particular sampling method on a single graph, which is referred to as a statistics. However, various realizing methods on different graphs could possibly be used in…

Social and Information Networks · Computer Science 2015-12-21 Xin Wang , Richard T. B. Ma , Yinlong Xu , Zhipeng Li

Despite the exploding interest in graph neural networks there has been little effort to verify and improve their robustness. This is even more alarming given recent findings showing that they are extremely vulnerable to adversarial attacks…

Machine Learning · Computer Science 2019-12-20 Aleksandar Bojchevski , Stephan Günnemann

Effective decision making requires understanding the uncertainty inherent in a prediction. In regression, this uncertainty can be estimated by a variety of methods; however, many of these methods are laborious to tune, generate…

Machine Learning · Statistics 2021-12-02 Tianhui Zhou , Yitong Li , Yuan Wu , David Carlson

Graph signal processing deals with algorithms and signal representations that leverage graph structures for multivariate data analysis. Often said graph topology is not readily available and may be time-varying, hence (dynamic) graph…

Signal Processing · Electrical Eng. & Systems 2024-09-20 Hector Chahuara , Gonzalo Mateos

Graph structure learning aims to learn connectivity in a graph from data. It is particularly important for many computer vision related tasks since no explicit graph structure is available for images for most cases. A natural way to…

Computer Vision and Pattern Recognition · Computer Science 2022-12-26 Yaohua Wang , FangYi Zhang , Ming Lin , Senzhang Wang , Xiuyu Sun , Rong Jin

The probabilistic graphs framework models the uncertainty inherent in real-world domains by means of probabilistic edges whose value quantifies the likelihood of the edge existence or the strength of the link it represents. The goal of this…

Artificial Intelligence · Computer Science 2012-05-25 Claudio Taranto , Nicola Di Mauro , Floriana Esposito

Structural balance theory studies stability in networks. Given a $n$-vertex complete graph $G=(V,E)$ whose edges are labeled positive or negative, the graph is considered \emph{balanced} if every triangle either consists of three positive…

Data Structures and Algorithms · Computer Science 2023-06-02 Vikrant Ashvinkumar , Sepehr Assadi , Chengyuan Deng , Jie Gao , Chen Wang

We investigate stratified sampling in the context of network reliability assessment. We propose an unbalanced stratum refinement procedure, which operates on a partition of network components into clusters and the number of failed…

Methodology · Statistics 2025-06-03 Jianpeng Chan , Iason Papaioannou , Daniel Straub

We consider a network where an infection cascade has taken place and a subset of infected nodes has been partially observed. Our goal is to reconstruct the underlying cascade that is likely to have generated these observations. We reduce…

Social and Information Networks · Computer Science 2018-11-21 Han Xiao , Cigdem Aslay , Aristides Gionis

Measuring robustness is a fundamental task for analyzing the structure of complex networks. Indeed, several approaches to capture the robustness properties of a network have been proposed. In this paper we focus on spectral graph theory…

Combinatorics · Mathematics 2020-11-18 Gian Paolo Clemente , Alessandra Cornaro

Network sampling is used around the world for surveys of vulnerable, hard-to-reach populations including people at risk for HIV, opioid misuse, and emerging epidemics. The sampling methods include tracing social links to add new people to…

Methodology · Statistics 2020-02-05 Steve Thompson