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The topology of many real complex networks has been conjectured to be embedded in hidden metric spaces, where distances between nodes encode their likelihood of being connected. Besides of providing a natural geometrical interpretation of…

Physics and Society · Physics 2017-01-23 Antoine Allard , M. Ángeles Serrano , Guillermo García-Pérez , Marián Boguñá

We review the main tools which allow for the statistical characterization of weighted networks. We then present two case studies, the airline connection network and the scientific collaboration network, which are representative of critical…

Statistical Mechanics · Physics 2009-11-10 Marc Barthelemy , Alain Barrat , Romualdo Pastor-Satorras , Alessandro Vespignani

This article studies the Greek interregional commuting network (GRN) by using measures and methods of complex network analysis and empirical techniques. The study aims to detect structural characteristics of the commuting phenomenon, which…

Physics and Society · Physics 2020-03-19 Dimitrios Tsiotas , Konstantinos Raptopoulos

Spatially embedded networks are shaped by a combination of purely topological (space-independent) and space-dependent formation rules. While it is quite easy to artificially generate networks where the relative importance of these two…

Physics and Society · Physics 2013-09-10 Franco Ruzzenenti , Francesco Picciolo , Riccardo Basosi , Diego Garlaschelli

Gravity inversion is the problem of estimating subsurface density distributions from observed gravitational field data. We consider the two-dimensional (2D) case, in which recovering density models from one-dimensional (1D) measurements…

We are flooded with large-scale dynamic networked data. Analyses requiring exact comparisons between networks are computationally intractable, so new methodologies are sought. We extend the graphlet-based statistics to directed networks and…

Social and Information Networks · Computer Science 2016-03-18 Anida Sarajlić , Noël Malod-Dognin , Ömer Nebil Yaveroğlu , Nataša Pržulj

In this paper, we generally formulate the dynamics prediction problem of various network systems (e.g., the prediction of mobility, traffic and topology) as the temporal link prediction task. Different from conventional techniques of…

Social and Information Networks · Computer Science 2019-01-29 Kai Lei , Meng Qin , Bo Bai , Gong Zhang , Min Yang

Accurate prediction of structural displacements under external loading is fundamental to structural health monitoring and seismic safety assessment. Although the finite element method (FEM) remains the prevailing approach because of its…

Machine Learning · Computer Science 2026-05-12 Hung-Fu Chang , Tzu-Kang Lin , Yung-Li Cheng

Predicting edge weights on graphs has various applications, from transportation systems to social networks. This paper describes a Graph Neural Network (GNN) approach for edge weight prediction with guaranteed coverage. We leverage…

Machine Learning · Computer Science 2024-06-13 Rui Luo , Nicolo Colombo

Analyzing real data on international trade covering the time interval 1950-2000, we show that in each year over the analyzed period the network is a typical representative of the ensemble of maximally random weighted networks, whose…

General Finance · Quantitative Finance 2015-05-27 Agata Fronczak , Piotr Fronczak

Jan Tinbergen, the first recipient of the Nobel Memorial Prize in Economics in 1969, obtained his PhD in physics at the University of Leiden under the supervision of Paul Ehrenfest in 1929. Among many achievements as an economist after his…

General Finance · Quantitative Finance 2014-01-14 Tiziano Squartini , Diego Garlaschelli

Real data collected from different applications that have additional topological structures and connection information are amenable to be represented as a weighted graph. Considering the node labeling problem, Graph Neural Networks (GNNs)…

Social and Information Networks · Computer Science 2020-02-06 Xiaoxiao Li , Joao Saude

Tie strength prediction, sometimes named weight prediction, is vital in exploring the diversity of connectivity pattern emerged in networks. Due to the fundamental significance, it has drawn much attention in the field of network analysis…

Social and Information Networks · Computer Science 2020-01-16 Zhen Liu , Hu li , Chao Wang

Graph prediction problems prevail in data analysis and machine learning. The inverse prediction problem, namely to infer input data from given output labels, is of emerging interest in various applications. In this work, we develop…

Machine Learning · Statistics 2022-11-22 Chen Xu , Xiuyuan Cheng , Yao Xie

Among the proposed network models, the hidden variable (or good get richer) one is particularly interesting, even if an explicit empirical test of its hypotheses has not yet been performed on a real network. Here we provide the first…

Disordered Systems and Neural Networks · Physics 2009-02-06 D. Garlaschelli , M. I. Loffredo

This paper studies the statistical properties of the web of import-export relationships among world countries using a weighted-network approach. We analyze how the distributions of the most important network statistics measuring…

Physics and Society · Physics 2009-11-13 Giorgio Fagiolo , Javier Reyes , Stefano Schiavo

Online Bayesian bipartite matching is a central problem in digital marketplaces and exchanges, including advertising, crowdsourcing, ridesharing, and kidney exchange. We introduce a graph neural network (GNN) approach that emulates the…

Machine Learning · Computer Science 2024-06-21 Alexandre Hayderi , Amin Saberi , Ellen Vitercik , Anders Wikum

International Trade (IT) plays a fundamental role in today's economy: by connecting world countries production and consumption processes, it radically contributes in shaping their economy and development path. Although its evolving…

Physics and Society · Physics 2015-02-24 Paolo Sgrignoli

Understanding the structure of communities in a network has a great importance in the economic analysis. Communities are indeed characterized by specific properties, that are different from those of both the individual node and the whole…

Physics and Society · Physics 2021-10-20 Paolo Bartesaghi , Stefano Benati , Gian Paolo Clemente , Rosanna Grassi

As a vital strategic resource, oil has an essential influence on the world economy, diplomacy and military development. Using oil trade data to dynamically monitor and warn about international trade risks is an urgent need. Based on the UN…

Statistical Finance · Quantitative Finance 2022-08-23 Wen-Jie Xie , Na Wei , Wei-Xing Zhou