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Related papers: Modeling the International-Trade Network: A Gravit…

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This paper revisits the classic gravity model in international trade and reexamines the distance coefficient. As pointed out by Frankel (1997), this coefficient measures the relative unit transportation cost between short distance and long…

Economics · Quantitative Finance 2015-03-24 Haonan Wu

To infer multilayer deep representations of high-dimensional discrete and nonnegative real vectors, we propose an augmentable gamma belief network (GBN) that factorizes each of its hidden layers into the product of a sparse connection…

Machine Learning · Statistics 2016-10-07 Mingyuan Zhou , Yulai Cong , Bo Chen

Instability of trained models, i.e., the dependence of individual node predictions on random factors, can affect reproducibility, reliability, and trust in machine learning systems. In this paper, we systematically assess the prediction…

Machine Learning · Computer Science 2022-05-23 Max Klabunde , Florian Lemmerich

A central question of network science is how functional properties of systems arise from their structure. For networked dynamical systems, structure is typically quantified with network measures. A functional property that is of theoretical…

Adaptation and Self-Organizing Systems · Physics 2024-02-28 Christian Nauck , Michael Lindner , Nora Molkenthin , Jürgen Kurths , Eckehard Schöll , Jörg Raisch , Frank Hellmann

Understanding international trade is a fundamental problem in economics -- one standard approach is via what is commonly called the "gravity equation", which predicts the total amount of trade $F_ij$ between two countries $i$ and $j$ as $$…

Trading and Market Microstructure · Quantitative Finance 2017-03-08 Yuke Li , Tianhao Wu , Nicholas Marshall , Stefan Steinerberger

A new modelling approach for the analysis of weighted networks with ordinal/polytomous dyadic values is introduced. Specifically, it is proposed to model the weighted network connectivity structure using a hierarchical multilayer…

Methodology · Statistics 2019-08-05 Alberto Caimo , Isabella Gollini

Link prediction, which consists of predicting edges based on graph features, is a fundamental task in many graph applications. As for several related problems, Graph Neural Networks (GNNs), which are based on an attribute-centric…

Machine Learning · Computer Science 2023-05-24 Zexi Huang , Mert Kosan , Arlei Silva , Ambuj Singh

We propose a possible relation between complex networks and gravity. Our guide in our proposal is the power-law distribution of the node degree in network theory and the information approach to gravity. The established bridge may allow us…

General Physics · Physics 2012-11-30 J. A. Nieto

Graphical Transformation Models (GTMs) are introduced as a novel approach to effectively model multivariate data with intricate marginals and complex dependency structures semiparametrically, while maintaining interpretability through the…

Methodology · Statistics 2025-08-28 Matthias Herp , Johannes Brachem , Michael Altenbuchinger , Thomas Kneib

A fundamental problem in studying and modeling economic and financial systems is represented by privacy issues, which put severe limitations on the amount of accessible information. Here we introduce a novel, highly nontrivial method to…

Physics and Society · Physics 2018-12-10 Giulio Cimini , Tiziano Squartini , Andrea Gabrielli , Diego Garlaschelli

Motivated by the empirical analysis of the air transportation system, we define a network model that includes geographical attributes along with topological and weight (traffic) properties. The introduction of geographical attributes is…

Physics and Society · Physics 2007-05-23 Alain Barrat , Marc Barthelemy , Alessandro Vespignani

Graph Neural Networks (GNNs) have been widely used for various learning tasks, ranging from node classification to link prediction. They have demonstrated excellent performance in multiple domains involving graph-structured data. However,…

Machine Learning · Computer Science 2026-03-19 Steven E. Wilson , Sina Khanmohammadi

The worldwide trade network has been widely studied through different data sets and network representations with a view to better understanding interactions among countries and products. Here we investigate international trade through the…

Physics and Society · Physics 2018-12-12 Luiz G. A. Alves , Giuseppe Mangioni , Francisco A. Rodrigues , Pietro Panzarasa , Yamir Moreno

For joint inference over multiple variables, a variety of structured prediction techniques have been developed to model correlations among variables and thereby improve predictions. However, many classical approaches suffer from one of two…

Machine Learning · Computer Science 2020-01-07 Colin Graber , Alexander Schwing

Providing accurate estimated time of package delivery on users' purchasing pages for e-commerce platforms is of great importance to their purchasing decisions and post-purchase experiences. Although this problem shares some common issues…

Machine Learning · Computer Science 2023-02-03 Xin Zhou , Jinglong Wang , Yong Liu , Xingyu Wu , Zhiqi Shen , Cyril Leung

Graph transformer networks (GTN) are a variant of graph convolutional networks (GCN) that are targeted to heterogeneous graphs in which nodes and edges have associated type information that can be exploited to improve inference accuracy.…

Artificial Intelligence · Computer Science 2021-06-17 Loc Hoang , Udit Agarwal , Gurbinder Gill , Roshan Dathathri , Abhik Seal , Brian Martin , Keshav Pingali

The behaviour of gene regulatory networks (GRNs) is typically analysed using simulation-based statistical testing-like methods. In this paper, we demonstrate that we can replace this approach by a formal verification-like method that gives…

Computational Engineering, Finance, and Science · Computer Science 2015-01-19 Mirco Giacobbe , Calin C. Guet , Ashutosh Gupta , Thomas A. Henzinger , Tiago Paixao , Tatjana Petrov

A wide range of models have been proposed for Graph Generative Models, necessitating effective methods to evaluate their quality. So far, most techniques use either traditional metrics based on subgraph counting, or the representations of…

Machine Learning · Statistics 2022-06-14 Hamed Shirzad , Kaveh Hassani , Danica J. Sutherland

The connections in many networks are not merely binary entities, either present or not, but have associated weights that record their strengths relative to one another. Recent studies of networks have, by and large, steered clear of such…

Statistical Mechanics · Physics 2009-11-10 M. E. J. Newman

Forecasting electricity demand is increasingly challenging as energy systems become more decentralized and intertwined with renewable sources. Graph Neural Networks (GNNs) have recently emerged as a powerful paradigm to model spatial…

Machine Learning · Computer Science 2025-11-04 Eloi Campagne , Yvenn Amara-Ouali , Yannig Goude , Itai Zehavi , Argyris Kalogeratos