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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

Maximum entropy modeling is a flexible and popular framework for formulating statistical models given partial knowledge. In this paper, rather than the traditional method of optimizing over the continuous density directly, we learn a smooth…

Methodology · Statistics 2017-05-01 Gabriel Loaiza-Ganem , Yuanjun Gao , John P. Cunningham

We adopt the statistical framework on robustness proposed by Watson and Holmes in 2016 and then tackle the practical challenges that hinder its applicability to network models. The goal is to evaluate how the quality of an inference for a…

Methodology · Statistics 2020-12-08 Marios Papamichalis , Simon Lunagomez , Patrick J. Wolfe

It is generally accepted that neighboring nodes in financial networks are negatively assorted with respect to the correlation between their degrees. This feature would play an important 'damping' role in the market during downturns (periods…

Physics and Society · Physics 2016-11-17 Guy Kelman , David S. Brée , Eran Manes , Marco Lamieri , Natasa Golo , Sorin Solomon

Based on Jaynes' maximum entropy principle, exponential random graphs provide a family of principled models that allow the prediction of network properties as constrained by empirical data (observables). However, their use is often hindered…

Statistical Mechanics · Physics 2020-12-03 Szabolcs Horvát , Éva Czabarka , Zoltán Toroczkai

We study the mean field approximation of a recent model of cascades on networks relevant to the investigation of systemic risk control in financial networks. In the model, the hypothesis of a trend reinforcement in the stochastic process…

Physics and Society · Physics 2007-11-13 Jan Lorenz , Stefano Battiston

In economic and financial networks, the strength of each node has always an important economic meaning, such as the size of supply and demand, import and export, or financial exposure. Constructing null models of networks matching the…

General Finance · Quantitative Finance 2014-12-09 Rossana Mastrandrea , Tiziano Squartini , Giorgio Fagiolo , Diego Garlaschelli

This work develops an agent-based model for the study of how the leverage through the use of repurchase agreements can function as a mechanism for the propagation and amplification of financial shocks in a financial system. Based on the…

Computational Finance · Quantitative Finance 2017-03-23 Leonardo dos Santos Pinheiro , Flavio Codeco COelho

We address the inverse problem of reconstructing both the structure and dynamics of a network from mean-field measurements, which are linear combinations of node states. This setting arises in applications where only a few aggregated…

Dynamical Systems · Mathematics 2025-11-04 Narcicegi Kiran , Tiago Pereira

Evaluation of systemic risk in networks of financial institutions in general requires information of inter-institution financial exposures. In the framework of Debt Rank algorithm, we introduce an approximate method of systemic risk…

Risk Management · Quantitative Finance 2021-04-14 Sebastian M. Krause , Hrvoje Štefančić , Vinko Zlatić , Guido Caldarelli

In this study, we investigate the flow of money among bank accounts possessed by firms in a region by employing an exhaustive list of all the bank transfers in a regional bank in Japan, to clarify how the network of money flow is related to…

General Finance · Quantitative Finance 2020-07-31 Yoshi Fujiwara , Hiroyasu Inoue , Takayuki Yamaguchi , Hideaki Aoyama , Takuma Tanaka

The digital economy implements complex incentive systems to retain users through point redemption. Understanding user behavior in such complex incentive structures presents a fundamental challenge, especially in estimating the value of…

Computers and Society · Computer Science 2025-09-19 Akira Matsui , Takashi Teramoto , Eiji Motohashi , Hiroyuki Tsurumi

In this brief review, we critically examine the recent work done on correlation-based networks in financial systems. The structure of empirical correlation matrices constructed from the financial market data changes as the individual stock…

Computational Finance · Quantitative Finance 2020-04-21 Vishwas Kukreti , Hirdesh K. Pharasi , Priya Gupta , Sunil Kumar

An resilience optimal evaluation of financial portfolios implies having plausible hypotheses about the multiple interconnections between the macroeconomic variables and the risk parameters. In this paper, we propose a graphical model for…

Applications · Statistics 2020-01-31 Helder Rojas , David Dias

A minimal stochastic dynamical model of the interbank network is introduced, with linear interactions mediated by an integral of recent variations. Defining stress as the variance over the banks' states, the interaction correction to the…

Mathematical Finance · Quantitative Finance 2023-11-30 Andrea Auconi

We present a scalable nonparametric Bayesian method to perform network reconstruction from observed functional behavior that at the same time infers the communities present in the network. We show that the joint reconstruction with…

Physics and Society · Physics 2019-09-23 Tiago P. Peixoto

That parametrization and sparsity are inherently linked raises the possibility that relevant models, not obviously sparse in their natural formulation, exhibit a population-level sparsity after reparametrization. In covariance models,…

Statistics Theory · Mathematics 2025-04-28 Jakub Rybak , Heather Battey , Karthik Bharath

An important problem in many areas of science is that of recovering interaction networks from simultaneous time-series of many interacting dynamical processes. A common approach is to use the elements of the correlation matrix or its…

Systems and Control · Electrical Eng. & Systems 2025-10-09 Ian Xul Belaustegui , Marcela Ordorica Arango , Román Rossi-Pool , Naomi Ehrich Leonard , Alessio Franci

We derive a closed form solution for an optimal control problem related to an interbank lending schemes subject to terminal probability constraints on the failure of banks which are interconnected through a financial network. The derived…

Mathematical Finance · Quantitative Finance 2019-10-07 Francesco Cordoni , Luca Di Persio , Luca Prezioso

The number of algorithms available to reconstruct a biological network from a dataset of high-throughput measurements is nowadays overwhelming, but evaluating their performance when the gold standard is unknown is a difficult task. Here we…

Molecular Networks · Quantitative Biology 2012-09-11 Giuseppe Jurman , Michele Filosi , Roberto Visintainer , Samantha Riccadonna , Cesare Furlanello