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Topological Data Analysis (TDA) is increasingly crucial in investigating the shape of complex data structures across scientific fields, particularly in neuroscience and finance. This study delves into persistent homology, a TDA component…

Physics and Society · Physics 2024-09-17 Roel Gisolf , Fernando A. N. Santos , Felix Wierstra

The way the topological structure transforms from a decoupled to a coupled state in multiplex networks has been extensively studied through both analytical and numerical approaches, often utilizing models of artificial networks. These…

Social and Information Networks · Computer Science 2024-09-04 Rajesh Kumar , Suchi Kumari , Anubhav Mishra

This work investigates the effects of complex networks on the collective behavior of a three-state opinion formation model in economic systems. Our model considers two distinct types of investors in financial markets: noise traders and…

Financial market like the price of stock, share, gold, oil, mutual funds are affected by the news and posts on social media. In this work deep learning based models are proposed to predict the trend of financial market based on NLP analysis…

Computational Engineering, Finance, and Science · Computer Science 2024-03-20 Arijit Das , Tanmoy Nandi , Prasanta Saha , Suman Das , Saronyo Mukherjee , Sudip Kumar Naskar , Diganta Saha

The stock market closely monitors macroeconomic policy announcements, such as annual budget events, due to their substantial influence on various economic participants. These events tend to impact the stock markets initially before…

Statistical Finance · Quantitative Finance 2025-02-25 Mridul Patel , Geetika Verma , Andrew Eberhard , Asha Rao , Pankaj Kumar

With emergence of blockchain technologies and the associated cryptocurrencies, such as Bitcoin, understanding network dynamics behind Blockchain graphs has become a rapidly evolving research direction. Unlike other financial networks, such…

We investigate how the graph topology influences the robustness to noise in undirected linear consensus networks. We measure the structural robustness by using the smallest possible value of steady state population variance of states under…

Systems and Control · Electrical Eng. & Systems 2020-11-18 Yasin Yazicioglu , Waseem Abbas , Mudassir Shabbir

There is a large body of work, built on tools developed in mathematics and physics, demonstrating that financial market prices exhibit self-similarity at different scales. In this paper, we explore the use of analytical topology to…

Trading and Market Microstructure · Quantitative Finance 2017-10-25 Jean de Carufel , Martin Brooks , Michael Stieber , Paul Britton

We review the recent approach of correlation based networks of financial equities. We investigate portfolio of stocks at different time horizons, financial indices and volatility time series and we show that meaningful economic information…

Statistical Mechanics · Physics 2009-11-10 G. Bonanno , G. Caldarelli , F. Lillo , S. Micciche` , N. Vandewalle , R. N. Mantegna

The level of systemic risk in economic and financial systems is strongly determined by the structure of the underlying networks of interdependent entities that can propagate shocks and stresses. Since changes in network structure imply…

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

We explore the international transmission of monetary policy and central bank information shocks originating from the United States and the euro area. Employing a panel vector autoregression, we use macroeconomic and financial variables…

Econometrics · Economics 2025-08-06 Michael Pfarrhofer , Anna Stelzer

Graph neural networks (GNNs) are widely used for the detection of fake news by modeling the content and propagation structure of news articles on social media. We show that two of the most commonly used benchmark data sets - GossipCop and…

Machine Learning · Computer Science 2025-12-09 Isha Karn , David Jensen

Determining the effect of structural perturbations on the eigenvalue spectra of networks is an important problem because the spectra characterize not only their topological structures, but also their dynamical behavior, such as…

Disordered Systems and Neural Networks · Physics 2010-05-04 Attilio Milanese , Jie Sun , Takashi Nishikawa

The correlation matrix formalism is used to study temporal aspects of the stock market evolution. This formalism allows to decompose the financial dynamics into noise as well as into some coherent repeatable intraday structures. The present…

Soft Condensed Matter · Physics 2009-11-07 J. Kwapien , S. Drozdz , F. Gruemmer , F. Ruf , J. Speth

We present a framework based on spectral graph theory that captures the interplay among network topology, system inertia, and generator and load damping in determining the overall grid behavior and performance. Specifically, we show that…

Systems and Control · Computer Science 2018-08-07 Linqi Guo , Changhong Zhao , Steven H. Low

The financial turmoil surrounding the Great Recession called for unprecedented intervention by Central Banks: unconventional policies affected various areas in the economy, including stock market volatility. In order to evaluate such…

General Finance · Quantitative Finance 2021-02-23 Giampiero M. Gallo , Demetrio Lacava , Edoardo Otranto

Financial spillovers in interconnected systems, such as global banking networks, require tools that capture temporal and frequency dynamics, while incorporating the underlying network topology. While current network time series models are…

Methodology · Statistics 2026-04-07 Cristian F. Jiménez-Varón , Marina I. Knight

We analyze information diffusion using empirical data that tracks online communication around two instances of mass political mobilization, including the year that lapsed in-between the protests. We compare the global properties of the…

Physics and Society · Physics 2015-06-16 Raquel A. Baños , Javier Borge-Holthoefer , Ning Wang , Yamir Moreno , Sandra González-Bailón

In bandwidth-constrained federated learning~(FL) settings, the repeated upload of high-dimensional model updates from agents to a central server constitutes the primary bottleneck, often rendering standard FL infeasible within practical…

Machine Learning · Computer Science 2026-04-07 M. Rostami , S. S. Kia