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This work applies a quantitative metric well-known to the data assimilation community to a new context in order to capture the relative representativeness of non-simultaneous or non-co-located observations and quantify how these…

Atmospheric and Oceanic Physics · Physics 2023-08-08 C. E. Powell , Christopher S. Ruf , Scott Gleason , Scot C. R. Rafkin

A wide range of tasks in network analysis, such as clustering network populations or identifying anomalies in temporal graph streams, require a measure of the similarity between two graphs. To provide a meaningful data summary for…

Physics and Society · Physics 2024-10-15 Helcio Felippe , Federico Battiston , Alec Kirkley

We present a new approach to the calculation of measures in weighted networks, based on the translation of a weighted network into an ensemble of edges. This leads to a straightforward generalization of any measure defined on unweighted…

Statistical Mechanics · Physics 2009-07-06 S. E. Ahnert , D. Garlaschelli , T. M. Fink , G. Caldarelli

Complex networks have attracted increasing interest from various fields of science. It has been demonstrated that each complex network model presents specific topological structures which characterize its connectivity and dynamics. Complex…

Data Analysis, Statistics and Probability · Physics 2012-02-20 Wesley Nunes Gonçalves , Alexandre Souto Martinez , Odemir Martinez Bruno

We propose new ensemble models for multivariate functional data classification as combinations of semi-metric-based weak learners. Our models extend current semi-metric-type methods from the univariate to the multivariate case, propose new…

Temporal networks, i.e., networks in which the interactions among a set of elementary units change over time, can be modelled in terms of time-varying graphs, which are time-ordered sequences of graphs over a set of nodes. In such graphs,…

Physics and Society · Physics 2013-06-04 Vincenzo Nicosia , John Tang , Cecilia Mascolo , Mirco Musolesi , Giovanni Russo , Vito Latora

This paper presents methods to compare high order networks, defined as weighted complete hypergraphs collecting relationship functions between elements of tuples. They can be considered as generalizations of conventional networks where only…

Social and Information Networks · Computer Science 2016-01-20 Weiyu Huang , Alejandro Ribeiro

Human mobility similarity comparison plays a critical role in mobility estimation/prediction model evaluation, mobility clustering and mobility matching, which exerts an enormous impact on improving urban mobility, accessibility, and…

Computers and Society · Computer Science 2021-09-30 Yuhao Yao , Haoran Zhang , Jinyu Chen , Wenjing Li , Mariko Shibasaki , Ryosuke Shibasaki , Xuan Song

Modularity is a very widely used measure of the level of clustering or community structure in networks. Here we consider a recent generalisation of the definition of modularity to temporal graphs, whose edge-sets change over discrete…

Combinatorics · Mathematics 2025-07-24 Vilhelm Agdur , Jessica Enright , Laura Larios-Jones , Kitty Meeks , Fiona Skerman , Ella Yates

We study a model of wireless networks where users move at speed s, which has the original feature of being defined through a fixed-point equation. Namely, we start from a two-class Processor-Sharing queue to model one representative cell of…

Probability · Mathematics 2019-09-11 Florian Simatos , Alain Simonian

This work explores the clustering of wireless users by examining the distances between their channel covariance matrices, which reside on the Riemannian manifold of positive definite matrices. Specifically, we consider an estimator of the…

Signal Processing · Electrical Eng. & Systems 2024-08-09 Roberto Pereira , Xavier Mestre

We introduce a framework for defining and interpreting collective mobility measures from spatially and temporally aggregated origin--destination (OD) data. Rather than characterizing individual behavior, these measures describe properties…

Applications · Statistics 2026-01-21 Alisha Foster , David A. Meyer , Asif Shakeel

Wi-Fi channel state information (CSI) has emerged as a plausible modality for sensing different human activities as a function of modulations in the wireless signal that travels between wireless devices. Until now, most research has taken a…

Information Theory · Computer Science 2019-02-05 Mohammed Alloulah , Anton Isopoussu , Chulhong Min , Fahim Kawsar

Discovering human mobility patterns with geo-location data collected from smartphone users has been a hot research topic in recent years. In this paper, we attempt to discover daily mobile patterns based on GPS data. We view this problem…

Machine Learning · Computer Science 2020-07-02 Weizhu Qian , Fabrice Lauri , Franck Gechter

Network node similarity measure has been paid particular attention in the field of statistical physics. In this paper, we utilize the concept of information and information loss to measure the node similarity. The whole model is based on…

Physics and Society · Physics 2014-03-19 Yongli Li , Peng Luo , Chong Wu

Time series are ubiquitous, and a measure to assess their similarity is a core part of many computational systems. In particular, the similarity measure is the most essential ingredient of time series clustering and classification systems.…

Machine Learning · Computer Science 2016-05-18 Joan Serrà , Josep Lluis Arcos

Despite the growing popularity of human mobility studies that collect GPS location data, the problem of determining the minimum required length of GPS monitoring has not been addressed in the current statistical literature. In this paper we…

Other Statistics · Statistics 2019-08-28 Zhihang Dong , Yen-Chi Chen , Adrian Dobra

In the past decade, large scale mobile phone data have become available for the study of human movement patterns. These data hold an immense promise for understanding human behavior on a vast scale, and with a precision and accuracy never…

Physics and Society · Physics 2016-02-17 Nathalie E. Williams , Timothy A. Thomas , Matthew Dunbar , Nathan Eagle , Adrian Dobra

Pattern comparison represents a fundamental and crucial aspect of scientific modeling, artificial intelligence, and pattern recognition. Three main approaches have typically been applied for pattern comparison: (i) distances; (ii)…

Physics and Society · Physics 2024-07-12 Alexandre Benatti , Luciano da F. Costa

We introduce a layout similarity measure designed to evaluate the results of layout generation. While several similarity measures have been proposed in prior research, there has been a lack of comprehensive discussion about their behaviors.…

Computer Vision and Pattern Recognition · Computer Science 2024-07-18 Mayu Otani , Naoto Inoue , Kotaro Kikuchi , Riku Togashi
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