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Social groups are fundamental elements of any social system. Their emergence and evolution are closely related to the structure and dynamics of a social system. Research on social groups was primarily focused on the growth and the structure…

Physics and Society · Physics 2022-12-09 Ana Vranić , Jelena Smiljanić , Marija Mitrović Dankulov

Understanding the mutual relationships between information flows and social activity in society today is one of the cornerstones of the social sciences. In financial economics, the key issue in this regard is understanding and quantifying…

Machine Learning · Statistics 2015-06-11 Ryohei Hisano , Didier Sornette , Takayuki Mizuno , Takaaki Ohnishi , Tsutomu Watanabe

We discuss some methods to quantitatively investigate the properties of correlation matrices. Correlation matrices play an important role in portfolio optimization and in several other quantitative descriptions of asset price dynamics in…

Statistical Finance · Quantitative Finance 2010-08-25 M. Tumminello , F. Lillo , R. N. Mantegna

Social contact studies, investigating social contact patterns in a population sample, have been an important contribution for epidemic models to better fit real life epidemics. A contact matrix $M$, having the \emph{mean} number of contacts…

Populations and Evolution · Quantitative Biology 2024-08-15 Tom Britton , Frank Ball

Even within small organs like pancreatic islets, different endocrine cell types and subtypes form a heterogeneous collective to sense the chemical composition of the extracellular solution and compute an adequate hormonal output. Erroneous…

Cell Behavior · Quantitative Biology 2019-04-02 Dean Korošak , Marjan Slak Rupnik

Aggregate and systemic risk in complex systems are emergent phenomena depending on two properties: the idiosyncratic risks of the elements and the topology of the network of interactions among them. While a significant attention has been…

Social and Information Networks · Computer Science 2018-09-25 Elisa Letizia , Fabrizio Lillo

The econophysics approach to socio-economic systems is based on the assumption of their complexity. Such assumption inevitably lead to another assumption, namely that underlying interconnections within socio-economic systems, particularly…

Statistical Finance · Quantitative Finance 2023-07-19 Paweł Fiedor

Financial markets can be seen as complex systems that are constantly evolving and sensitive to external disturbance, such as systemic risks and economic instabilities. Analysis of resilient market performance, therefore, becomes useful for…

General Finance · Quantitative Finance 2019-09-04 Junqing Tang , Hans R. Heinimann

We use Random Matrix Theory (RMT) and information theory to analyze the correlations and flow of information between 64,939 news from The New York Times and 40 world financial indices during 10 months along the period 2015-2016. The set of…

Statistical Finance · Quantitative Finance 2018-04-04 Andrés García-Medina , Leonidas Sandoval Junior , Efraín Urrutia Bañuelos , A. M. Martínez-Argüello

As large language models (LLMs) like GPT become increasingly prevalent, it is essential that we assess their capabilities beyond language processing. This paper examines the economic rationality of GPT by instructing it to make budgetary…

General Economics · Economics 2023-11-07 Yiting Chen , Tracy Xiao Liu , You Shan , Songfa Zhong

Community detection is a very active field in complex networks analysis, consisting in identifying groups of nodes more densely interconnected relatively to the rest of the network. The existing algorithms are usually tested and compared on…

Social and Information Networks · Computer Science 2012-08-16 Günce Orman , Vincent Labatut , Hocine Cherifi

With increasing competition and pace in the financial markets, robust forecasting methods are becoming more and more valuable to investors. While machine learning algorithms offer a proven way of modeling non-linearities in time series,…

Computational Finance · Quantitative Finance 2019-07-09 Lukas Ryll , Sebastian Seidens

In the seminal work [9], several macroscopic market observables have been introduced, in an attempt to find characteristics capturing the diversity of a financial market. Despite the crucial importance of such observables for investment…

Probability · Mathematics 2018-02-13 Sergio A. Almada Monter , Mykhaylo Shkolnikov , Jiacheng Zhang

In this work we study the dynamics of systems composed of numerous interacting elements interconnected through a random weighted directed graph, such as models of random neural networks. We develop an original theoretical approach based on…

Chaotic Dynamics · Physics 2015-09-30 Gilles Wainrib , Mathieu Galtier

With the random matrix theory, we study the spatial structure of the Chinese stock market, American stock market and global market indices. After taking into account the signs of the components in the eigenvectors of the cross-correlation…

General Finance · Quantitative Finance 2012-02-23 X. F. Jiang , B. Zheng

This paper uses new and recently established methodologies to study the evolutionary dynamics of the cryptocurrency market, and compares the findings with that of the equity market. We begin by applying random matrix theory and principal…

Statistical Finance · Quantitative Finance 2022-04-20 Nick James

Risk control has become one of the major concern of financial institutions. The need for adequate statistical tools to measure and anticipate the amplitude of the potential moves of financial markets is clearly expressed, in particular for…

Condensed Matter · Physics 2007-05-23 Jean-Philippe Bouchaud , Marc Potters

For a long time, detection and parameter estimation methods for signal processing have relied on asymptotic statistics as the number $n$ of observations of a population grows large comparatively to the population size $N$, i.e. $n/N\to…

Information Theory · Computer Science 2012-06-20 Romain Couillet , Merouane Debbah

One of the distinguishing characteristics of modern deep learning systems is that they typically employ neural network architectures that utilize enormous numbers of parameters, often in the millions and sometimes even in the billions.…

Machine Learning · Statistics 2021-11-15 Ben Adlam , Jake Levinson , Jeffrey Pennington

Is the large influence that mutual funds assert on the U.S. financial system spread across many funds, or is it is concentrated in only a few? We argue that the dominant economic factor that determines this is market efficiency, which…

Statistical Finance · Quantitative Finance 2013-05-29 Yonathan Schwarzkopf , J. Doyne Farmer
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