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We explore the evolution of daily returns of four major US stock market indices during the technology crash of 2000, and the financial crisis of 2007-2009. Our methodology is based on topological data analysis (TDA). We use persistence…

数理金融 · 定量金融 2017-11-22 Marian Gidea , Yuri Katz

Topological Data Analysis (TDA) is a modern approach to Data Analysis focusing on the topological features of data; it has been widely studied in recent years and used extensively in Biology, Physics, and many other areas. However,…

We develop a topology data analysis-based method to detect early signs for critical transitions in financial data. From the time-series of multiple stock prices, we build time-dependent correlation networks, which exhibit topological…

数理金融 · 定量金融 2017-01-24 Marian Gidea

In the present work we extend the Bak-Sneppen model for biological evolution by introducing local interactions between species. This ``environmental'' perturbation can modify the intrinsic fitness of each element of the ecology, leading to…

其他凝聚态物理 · 物理学 2010-10-14 M. Bartolozzi , D. B. Leinweber , A. W. Thomas

Modern business and economic datasets often exhibit nonlinear, multi-scale structures that traditional linear tools under-represent. Topological Data Analysis (TDA) offers a geometric lens for uncovering robust patterns, such as connected…

机器学习 · 统计学 2025-11-18 Ioannis Diamantis

Classical technical analysis methods of stock evolution are recalled, i.e. the notion of moving averages and momentum indicators. The moving averages lead to define death and gold crosses, resistance and support lines. Momentum indicators…

凝聚态物理 · 物理学 2009-11-07 M. Ausloos , K. Ivanova

The Prevalence of Community support and engagement for different domains in the tech industry has changed and evolved throughout the years. In this study, we aim to understand, analyze and predict the trends of technology in a scientific…

机器学习 · 计算机科学 2021-08-19 Raja CSP Raman , Rohith Mahadevan , Divya Perumal , Vedha Sankar , Talha Abdur Rahman

We investigate by numerical simulations and analytical calculations the Bak-Sneppen model for biological evolution in scale-free networks. By using large scale numerical simulations, we study the avalanche size distribution and the activity…

统计力学 · 物理学 2009-11-07 Yamir Moreno , Alexei Vazquez

We present a heuristic argument for the propensity of Topological Data Analysis (TDA) to detect early warning signals of critical transitions in financial time series. Our argument is based on the Log-Periodic Power Law Singularity (LPPLS)…

统计金融 · 定量金融 2023-04-17 Samuel W. Akingbade , Marian Gidea , Matteo Manzi , Vahid Nateghi

Studying the micro-trading behaviors before stock price jumps is an important problem for financial regulations and investment decisions. In this study, we provide a new framework to study pre-jump trading behaviors based on multivariate…

统计金融 · 定量金融 2021-03-01 Ao Kong , Robert Azencott , Hongliang Zhu , Xindan Li

Predicting stock price movements is a pivotal element of investment strategy, providing insights into potential trends and market volatility. This study specifically examines the predictive capacity of historical stock prices and technical…

计算工程、金融与科学 · 计算机科学 2024-04-17 Morteza Maleki

The proliferation of diverse, high-leverage trading instruments in modern financial markets presents a complex, "noisy" environment, leading to a critical question: which trading strategies are evolutionarily viable? To investigate this, we…

物理与社会 · 物理学 2026-04-01 Yijia Chen

Modeling the evolution of a financial index as a stochastic process is a problem awaiting a full, satisfactory solution since it was first formulated by Bachelier in 1900. Here it is shown that the scaling with time of the return…

统计金融 · 定量金融 2009-11-13 Attilio L. Stella , Fulvio Baldovin

The spin market model [S. Bornholdt, Int.J.Mod.Phys. C 12 (2001) 667] is extended into co-evolutionary version, where strategies of interacting and competitive traders are represented by local and global couplings between the nodes of…

适应与自组织系统 · 物理学 2009-11-11 D. Horvath , Z. Kuscsik , M. Gmitra

Accurately predicting stock repurchases is crucial for quantitative investment and risk management, yet traditional static models fail to capture the complex temporal dependencies of corporate financial conditions. This paper proposes a…

统计金融 · 定量金融 2026-04-14 Xiang Ao , Jingxuan Zhang , Xinyu Zhao

We investigate the performance of dynamic portfolios constructed using more than 21,000 technical trading rules on 12 categorical and country-specific markets over the 2004-2015 study period, on rolling forward structures of different…

As the increasing application of AI in finance, this paper will leverage AI algorithms to examine tail risk and develop a model to alter tail risk to promote the stability of US financial markets, and enhance the resilience of the US…

风险管理 · 定量金融 2025-08-08 Zong Ke , Yuchen Yin

We introduce the standard distribution width of fitness to characterize the global and individual features of a ecosystem in the Bak-Sneppen evolution model. Through tracking this quantity in evolution, a different hierarchy of avalanche…

适应与自组织系统 · 物理学 2007-05-23 Chaohong Lee , Xiwen Zhu , Kelin Gao

We consider a mean-reverting stochastic volatility model which satisfies some relevant stylized facts of financial markets. We introduce an algorithm for the detection of peaks in the volatility profile, that we apply to the time series of…

统计金融 · 定量金融 2016-12-05 Mario Bonino , Matteo Camelia , Paolo Pigato

In setting up a stochastic description of the time evolution of a financial index, the challenge consists in devising a model compatible with all stylized facts emerging from the analysis of financial time series and providing a reliable…

统计金融 · 定量金融 2009-11-13 Fulvio Baldovin , Attilio L. Stella
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