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Various company interactions can be described by networks, for instance the ownership networks and the board membership networks. To understand the ecosystem of companies, these interactions cannot be seen in isolation. For this purpose we…

Physics and Society · Physics 2019-03-27 Jeroen van Lidth de Jeude , Tomaso Aste , Guido Caldarelli

Big data and the use of advanced technologies are relevant topics in the financial market. In this context, complex networks became extremely useful in describing the structure of complex financial systems. In particular, the time evolution…

Physics and Society · Physics 2022-04-15 Paolo Bartesaghi , Gian Paolo Clemente , Rosanna Grassi

Credit rating is an analysis of the credit risks associated with a corporation, which reflects the level of the riskiness and reliability in investing, and plays a vital role in financial risk. There have emerged many studies that implement…

Machine Learning · Computer Science 2020-12-04 Bojing Feng , Haonan Xu , Wenfang Xue , Bindang Xue

We present a methodology to extract the backbone of complex networks based on the weight and direction of links, as well as on nontopological properties of nodes. We show how the methodology can be applied in general to networks in which…

General Finance · Quantitative Finance 2010-06-23 J. B. Glattfelder , S. Battiston

The structure of the control network of transnational corporations affects global market competition and financial stability. So far, only small national samples were studied and there was no appropriate methodology to assess control…

General Finance · Quantitative Finance 2011-10-28 Stefania Vitali , James B. Glattfelder , Stefano Battiston

This paper aims to investigate how a central authority (e.g. a government) can increase social welfare in a network of markets and firms. In these networks, modeled using a bipartite graph, firms compete with each other \textit{\`a la}…

Computer Science and Game Theory · Computer Science 2019-11-22 MohammadAmin Fazli , Alireza Amanihamedani

Multilayer networks proved to be suitable in extracting and providing dependency information of different complex systems. The construction of these networks is difficult and is mostly done with a static approach, neglecting time delayed…

Risk Management · Quantitative Finance 2020-04-14 Giuseppe Brandi , T. Di Matteo

We consider the problem of identifying the topology of a weighted, undirected network $\mathcal G$ from observing snapshots of multiple independent consensus dynamics. Specifically, we observe the opinion profiles of a group of agents for a…

Social and Information Networks · Computer Science 2019-02-12 Santiago Segarra , Michael T. Schaub , Ali Jadbabaie

The decoupling of multivariate functions is a powerful modeling paradigm for learning multivariate input-output relations from data. For the single-layer case, established CPD-based methods are available, but the multi-layer case remained…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Joppe De Jonghe , Konstantin Usevich , Philippe Dreesen , Mariya Ishteva

Graphs emerge in almost every real-world application domain, ranging from online social networks all the way to health data and movie viewership patterns. Typically, such real-world graphs are big and dynamic, in the sense that they evolve…

Social and Information Networks · Computer Science 2022-10-11 Ekta Gujral

Corporations across the world are highly interconnected in a large global network of corporate control. This paper investigates the global board interlock network, covering 400,000 firms linked through 1,700,000 edges representing shared…

Social and Information Networks · Computer Science 2017-03-27 Frank W. Takes , Eelke M. Heemskerk

Multi-relational networks among entities are frequently observed in the era of big data. Quantifying the effects of multiple networks have attracted significant research interest recently. In this work, we model multiple network effects…

Methodology · Statistics 2024-06-06 Yimeng Ren , Xuening Zhu , Ganggang Xu , Yanyuan Ma

Complex systems that consist of different kinds of entities that interact in different ways can be modeled by multilayer networks. This paper uses the tensor formalism with the Einstein tensor product to model this type of networks. Several…

Numerical Analysis · Mathematics 2023-08-03 Smahane El-Halouy , Silvia Noschese , Lothar Reichel

Recently, hetero-functional graph theory (HFGT) has developed as a means to mathematically model the structure of large-scale complex flexible engineering systems. It does so by fusing concepts from network science and model-based systems…

Artificial Intelligence · Computer Science 2022-10-14 Amro M. Farid , Dakota Thompson , Wester Schoonenberg

Given observations of a physical system, identifying the underlying non-linear governing equation is a fundamental task, necessary both for gaining understanding and generating deterministic future predictions. Of most practical relevance…

Numerical Analysis · Mathematics 2020-03-02 A. Goeßmann , M. Götte , I. Roth , R. Sweke , G. Kutyniok , J. Eisert

How do inter-organizational networks emerge? Accounting for interdependence among ties while studying tie formation is one of the key challenges in this area of research. We address this challenge using an equilibrium framework where firms'…

Econometrics · Economics 2021-05-04 Shweta Gaonkar , Angelo Mele

Tensor networks were developed in the context of many-body physics as compressed representations of multiparticle quantum states. These representations mitigate the exponential complexity of many-body systems by capturing only the most…

Machine Learning · Computer Science 2026-04-17 Guillermo Valverde , Igor García-Olaizola , Giannicola Scarpa , Alejandro Pozas-Kerstjens

A network representation is useful for describing the structure of a large variety of complex systems. However, most real and engineered systems have multiple subsystems and layers of connectivity, and the data produced by such systems is…

This work proposes a neural network architecture that learns policies for multiple agent classes in a heterogeneous multi-agent reinforcement setting. The proposed network uses directed labeled graph representations for states, encodes…

Artificial Intelligence · Computer Science 2020-10-22 Douglas De Rizzo Meneghetti , Reinaldo Augusto da Costa Bianchi

Dynamic multilayer networks are frequently used to describe the structure and temporal evolution of multiple relationships among common entities, with applications in fields such as sociology, economics, and neuroscience. However,…

Methodology · Statistics 2026-04-06 Runshi Tang , Runbing Zheng , Anru R. Zhang , Carey E. Priebe
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