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In finance, economics and many other fields, observations in a matrix form are often observed over time. For example, many economic indicators are obtained in different countries over time. Various financial characteristics of many…

Methodology · Statistics 2017-06-22 Dong Wang , Xialu Liu , Rong Chen

We study the role of correlation in matching markets, where multiple decision-makers simultaneously face selection problems from the same pool of candidates. We propose a model in which a candidate's priority scores across different…

Computer Science and Game Theory · Computer Science 2025-12-08 Rémi Castera , Patrick Loiseau , Bary S. R. Pradelski

In this study, we propose a new multi-objective portfolio optimization with idiosyncratic and systemic risks for financial networks. The two risks are measured by the idiosyncratic variance and the network clustering coefficient derived…

Portfolio Management · Quantitative Finance 2021-11-23 Yajie Yang , Longfeng Zhao , Lin Chen , Chao Wang , Jihui Han

We analyze correlations among stock returns via a series of widely adopted parameters which we refer to as explanatory variables. We subsequently exploit the results to propose a long only quantitative adaptive technique to construct a…

Statistical Finance · Quantitative Finance 2018-09-20 Ludovico Latmiral

The concept of states of financial markets based on correlations has gained increasing attention during the last 10 years. We propose to retrace some important steps up to 2018, and then give a more detailed view of recent developments that…

Statistical Finance · Quantitative Finance 2021-07-14 Hirdesh K. Pharasi , Suchetana Sadhukhan , Parisa Majari , Anirban Chakraborti , Thomas H. Seligman

By analyzing the foreign exchange market data of various currencies, we derive a hierarchical taxonomy of currencies constructing minimal-spanning trees. Clustered structure of the currencies and the key currency in each cluster are found.…

Physics and Society · Physics 2009-11-11 Takayuki Mizuno , Hideki Takayasu , Misako Takayasu

The proprietary nature of Hedge Fund investing means that it is common practise for managers to release minimal information about their returns. The construction of a Fund of Hedge Funds portfolio requires a correlation matrix which often…

Statistical Finance · Quantitative Finance 2010-05-28 Thomas Conlon , Heather J. Ruskin , Martin Crane

Network-theoretic tools contribute to understanding real-world system dynamics, e.g., in wildlife conservation, epidemics, and power outages. Network visualization helps illustrate structural heterogeneity; however, details about…

Social and Information Networks · Computer Science 2015-09-28 Kehinde R. Salau , Jacopo A. Baggio , Marco A. Janssen , Joshua K. Abbott , Eli P. Fenichel

We investigate the trading behavior of Finnish individual investors trading the stocks selected to compute the OMXH25 index in 2003 by tracking the individual daily investment decisions. We verify that the set of investors is a highly…

Trading and Market Microstructure · Quantitative Finance 2021-08-30 Federico Musciotto , Luca Marotta , Salvatore Miccichè , Jyrki Piilo , Rosario N. Mantegna

We introduce a method for describing eigenvalue distributions of correlation matrices from multidimensional time series. Using our newly developed matrix H theory, we improve the description of eigenvalue spectra for empirical correlation…

Statistical Finance · Quantitative Finance 2025-12-01 Luan M. T. de Moraes , Antônio M. S. Macêdo , Giovani L. Vasconcelos , Raydonal Ospina

Networks are useful for describing systems of interacting objects, where the nodes represent the objects and the edges represent the interactions between them. The applications include chemical and metabolic systems, food webs as well as…

Computational Physics · Physics 2009-10-20 Baruch Barzel , Ofer Biham

The time dependence of the recently introduced minimum spanning tree description of correlations between stocks, called the ``asset tree'' have been studied to reflect the economic taxonomy. The nodes of the tree are identified with stocks…

Statistical Mechanics · Physics 2009-11-10 J. -P. Onnela , A. Chakraborti , K. Kaski , J. Kertesz , A. Kanto

This paper examines the applicability of Random Matrix Theory to portfolio management in finance. Starting from a group of normally distributed stochastic processes with given correlations we devise an algorithm for removing noise from the…

Statistical Mechanics · Physics 2008-12-02 Przemyslaw Repetowicz , Peter Richmond

Many real world systems can be expressed as complex networks of interconnected nodes. It is frequently important to be able to quantify the relative importance of the various nodes in the network, a task accomplished by defining some…

Physics and Society · Physics 2016-08-08 José Ricardo Furlan Ronqui , Gonzalo Travieso

Geometric optimisation algorithms are developed that efficiently find the nearest low-rank correlation matrix. We show, in numerical tests, that our methods compare favourably to the existing methods in the literature. The connection with…

Other Condensed Matter · Physics 2007-05-23 Igor Grubisic , Raoul Pietersz

While the majority of approaches to the characterization of complex networks has relied on measurements considering only the immediate neighborhood of each network node, valuable information about the network topological properties can be…

Statistical Mechanics · Physics 2015-06-24 Luciano da Fontoura Costa , Filipi Nascimento Silva

A model of correlated random networks is examined, i.e. networks with correlations between the degrees of neighboring nodes. These nodes do not necessarily have to be direct neighbors, the maximum range of the correlations can be…

Statistical Mechanics · Physics 2007-05-23 W. Pietsch

The presence of significant cross-correlations between the synchronous time evolution of a pair of equity returns is a well-known empirical fact. The Pearson correlation is commonly used to indicate the level of similarity in the price…

Statistical Finance · Quantitative Finance 2014-02-07 Dror Y. Kenett , Xuqing Huang , Irena Vodenska , Shlomo Havlin , H. Eugene Stanley

In this paper, we explore the detection of clusters of stocks that are in synergy in the Indian Stock Market and understand their behaviour in different circumstances. We have based our study on high frequency data for the year 2014. This…

Statistical Finance · Quantitative Finance 2019-03-11 Charu Sharma , Amber Habib

This work deals with the generation of theoretical correlation matrices with specific sparsity patterns, associated to graph structures. We present a novel approach based on convex optimization, offering greater flexibility compared to…

Signal Processing · Electrical Eng. & Systems 2025-02-26 Ali Fakhar , Kévin Polisano , Irène Gannaz , Sophie Achard
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