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We address a fundamental problem that is systematically encountered when modeling complex systems: the limitedness of the information available. In the case of economic and financial networks, privacy issues severely limit the information…

Physics and Society · Physics 2015-12-07 Giulio Cimini , Tiziano Squartini , Diego Garlaschelli , Andrea Gabrielli

Hypergraphs, increasingly utilised to model complex and diverse relationships in modern networks, have gained significant attention for representing intricate higher-order interactions. Among various challenges, cohesive subgraph discovery…

Social and Information Networks · Computer Science 2025-07-14 Dahee Kim , Hyewon Kim , Song Kim , Minseok Kim , Junghoon Kim , Yeon-Chang Lee , Sungsu Lim

Interconnected systems such as power systems and chemical processes are often required to satisfy safety properties in the presence of faults and attacks. Verifying safety of these systems, however, is computationally challenging due to…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Luyao Niu , Abdullah Al Maruf , Andrew Clark , J. Sukarno Mertoguno , Radha Poovendran

The inference of an underlying network topology from local observations of a complex system composed of interacting units is usually attempted by using statistical similarity measures, such as Cross-Correlation (CC) and Mutual Information…

Data Analysis, Statistics and Probability · Physics 2014-09-03 Nicolás Rubido , Arturo C. Martí , Ezequiel Bianco-Martínez , Celso Grebogi , Murilo S. Baptista , Cristina Masoller

Nonparametric detection of existence of an anomalous structure over a network is investigated. Nodes corresponding to the anomalous structure (if one exists) receive samples generated by a distribution q, which is different from a…

Machine Learning · Statistics 2017-10-11 Shaofeng Zou , Yingbin Liang , H. Vincent Poor

We introduce propagation kernels, a general graph-kernel framework for efficiently measuring the similarity of structured data. Propagation kernels are based on monitoring how information spreads through a set of given graphs. They leverage…

Machine Learning · Statistics 2014-10-14 Marion Neumann , Roman Garnett , Christian Bauckhage , Kristian Kersting

Biological processes underlying the basic functions of a cell involve complex interactions between genes. From a technical point of view, these interactions can be represented through a graph where genes and their connections are,…

Methodology · Statistics 2020-11-24 Thi Kim Hue Nguyen , Monica Chiogna

Conformal prediction (CP) is a framework to quantify uncertainty of machine learning classifiers including deep neural networks. Given a testing example and a trained classifier, CP produces a prediction set of candidate labels with a…

Machine Learning · Computer Science 2023-08-01 Subhankar Ghosh , Yuanjie Shi , Taha Belkhouja , Yan Yan , Jana Doppa , Brian Jones

A number of important transport networks, such as the airline and trade networks of the world, exhibit a characteristic core-periphery structure, wherein a few nodes are highly interconnected and the rest of the network frays into a tree.…

Physics and Society · Physics 2016-02-17 T. Verma , F. Russmann , N. A. M. Araújo , J. Nagler , H. J. Herrmann

Understanding and characterizing the vulnerability of urban infrastructures, which refers to the engineering facilities essential for the regular running of cities and that exist naturally in the form of networks, is of great value to us.…

Machine Learning · Computer Science 2023-08-02 Jinzhu Mao , Liu Cao , Chen Gao , Huandong Wang , Hangyu Fan , Depeng Jin , Yong Li

Identifying differences in networks has become a canonical problem in many biological applications. Here, we focus on testing whether two Gaussian graphical models are the same. Existing methods try to accomplish this goal by either…

Methodology · Statistics 2019-10-01 Sen Zhao , Stephen Ottinger , Suzanne Peck , Christine Mac Donald , Ali Shojaie

For various purposes and, in particular, in the context of data compression, a graph can be examined at three levels. Its structure can be described as the unlabeled version of the graph; then the labeling of its structure can be added; and…

Information Theory · Computer Science 2021-11-24 Ioannis Kontoyiannis , Yi Heng Lim , Katia Papakonstantinopoulou , Wojtek Szpankowski

Cryptographic Protocols (CP) are distributed algorithms intended for secure communication in an insecure environment. They are used, for example, in electronic payments, electronic voting procedures, systems of confidential data processing,…

Cryptography and Security · Computer Science 2021-09-21 Andrew M. Mironov

Conformal Prediction (CP) quantifies network uncertainty by building a small prediction set with a pre-defined probability that the correct class is within this set. In this study we tackle the problem of CP calibration based on a…

Machine Learning · Computer Science 2024-05-22 Coby Penso , Jacob Goldberger

This paper considers the problem of testing many moment inequalities where the number of moment inequalities, denoted by $p$, is possibly much larger than the sample size $n$. There is a variety of economic applications where solving this…

Statistics Theory · Mathematics 2018-10-22 Victor Chernozhukov , Denis Chetverikov , Kengo Kato

Conformal Prediction (CP) is a popular uncertainty quantification method that provides distribution-free, statistically valid prediction sets, assuming that training and test data are exchangeable. In such a case, CP's prediction sets are…

Logic in Computer Science · Computer Science 2024-11-19 Linus Jeary , Tom Kuipers , Mehran Hosseini , Nicola Paoletti

For an offline-first collaborative application to operate in true peer-to-peer fashion, its collaborative features must function even in environments where internet connectivity is limited or unavailable. Each peer may only be interested in…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-05 Sreeja S. Nair , Nicholas E. Marino , Nick Pascucci , Russell Brown , Arthur P. R. Silva , Tim Cummings , Connor M. Power

Measuring graph clustering quality remains an open problem. To address it, we introduce quality measures based on comparisons of intra- and inter-cluster densities, an accompanying statistical test of the significance of their differences…

Social and Information Networks · Computer Science 2020-03-20 Pierre Miasnikof , Alexander Y. Shestopaloff , Anthony J. Bonner , Yuri Lawryshyn , Panos M. Pardalos

We consider the $k$-core decomposition of network models and Internet graphs at the autonomous system (AS) level. The $k$-core analysis allows to characterize networks beyond the degree distribution and uncover structural properties and…

Networking and Internet Architecture · Computer Science 2008-04-16 José Ignacio Alvarez-Hamelin , Luca Dall'Asta , Alain Barrat , Alessandro Vespignani

Trustworthy decision making in networked, dynamic environments calls for innovative uncertainty quantification substrates in predictive models for graph time series. Existing conformal prediction (CP) methods have been applied separately to…

Machine Learning · Computer Science 2025-10-14 Sonakshi Dua , Gonzalo Mateos , Sundeep Prabhakar Chepuri