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We present a scheme for online, unsupervised state discovery and detection from streaming, multi-featured, asynchronous data in high-frequency financial markets. Online feature correlations are computed using an unbiased, lossless Fourier…

Trading and Market Microstructure · Quantitative Finance 2017-05-05 Dieter Hendricks

This work introduces a new framework for modeling financial markets through an interpretable probabilistic state machine. By clustering historical returns based on momentum and risk features across multiple time horizons, we identify…

Computational Engineering, Finance, and Science · Computer Science 2025-10-02 Christian Oliva , Silviu Gabriel Tinjala

We develop a new method to find the number of volatility regimes in a nonstationary financial time series by applying unsupervised learning to its volatility structure. We use change point detection to partition a time series into locally…

Statistical Finance · Quantitative Finance 2022-11-15 Arjun Prakash , Nick James , Max Menzies , Gilad Francis

Many time-evolving systems in nature, society and technology leave traces of the interactions within them. These interactions form temporal networks that reflect the states of the systems. In this work, we pursue a coarse-grained…

Social and Information Networks · Computer Science 2019-02-07 Naoki Masuda , Petter Holme

Financial networks have become extremely useful in characterizing the structure of complex financial systems. Meanwhile, the time evolution property of the stock markets can be described by temporal networks. We utilize the temporal network…

Statistical Finance · Quantitative Finance 2018-07-04 Longfeng Zhao , Gang-Jin Wang , Mingang Wang , Weiqi Bao , Wei Li , H. Eugene Stanley

Building on topological data analysis and expert knowledge, this study introduces a Mapper-based approach to cluster agents based on their tendency to be influenced by information spread. The context of our paper is financial markets with…

Methodology · Statistics 2025-04-02 Anubha Goel , Henri Hansen , Juho Kanniainen

In this work we present a non-parametric online market regime detection method for multidimensional data structures using a path-wise two-sample test derived from a maximum mean discrepancy-based similarity metric on path space that uses…

Machine Learning · Statistics 2023-06-29 Zacharia Issa , Blanka Horvath

Financial markets are of much interest to researchers due to their dynamic and stochastic nature. With their relations to world populations, global economies and asset valuations, understanding, identifying and forecasting trends and…

Statistical Finance · Quantitative Finance 2021-08-13 Peter Akioyamen , Yi Zhou Tang , Hussien Hussien

Market instability has been extensively studied using mathematical approaches to characterize complex trading dynamics and detect structural change points. This study explores the potential for early warning of market instability by…

Physics and Society · Physics 2026-04-24 Mariko I. Ito , Hiroyuki Hasada , Yudai Honma , Takaaki Ohnishi , Tsutomu Watanabe , Kazuyuki Aihara

By analyzing a large data set of daily returns with data clustering technique, we identify economic sectors as clusters of assets with a similar economic dynamics. The sector size distribution follows Zipf's law. Secondly, we find that…

Statistical Mechanics · Physics 2008-12-02 Matteo Marsili

Many temporal networks exhibit multiple system states, such as weekday and weekend patterns in social contact networks. The detection of such distinct states in temporal network data has recently been explored as it helps reveal underlying…

Social and Information Networks · Computer Science 2020-08-20 Shun Cao , Hiroki Sayama

Market conditions change continuously. However, in portfolio's investment strategies, it is hard to account for this intrinsic non-stationarity. In this paper, we propose to address this issue by using the Inverse Covariance Clustering…

Statistical Finance · Quantitative Finance 2022-01-17 Yuanrong Wang , Tomaso Aste

A pairwise clustering approach is applied to the analysis of the Dow Jones index companies, in order to identify similar temporal behavior of the traded stock prices. To this end, the chaotic map clustering algorithm is used, where a map is…

Disordered Systems and Neural Networks · Physics 2010-01-31 N. Basalto , R. Bellotti , F. De Carlo , P. Facchi , S. Pascazio

Maximum likelihood estimation applied to high-frequency data allows us to quantify intermittency in the fluctu- ations of asset prices. From time records as short as one month these methods permit extraction of a meaningful intermittency…

Statistical Finance · Quantitative Finance 2015-06-04 Martin Rypdal , Espen Sirnes , Ola Løvsletten , Kristoffer Rypdal

Identifying market abuse activity from data on investors' trading activity is very challenging both for the data volume and for the low signal to noise ratio. Here we propose two complementary unsupervised machine learning methods to…

Statistical Finance · Quantitative Finance 2022-12-13 Piero Mazzarisi , Adele Ravagnani , Paola Deriu , Fabrizio Lillo , Francesca Medda , Antonio Russo

The measured correlations of financial time series in subsequent epochs change considerably as a function of time. When studying the whole correlation matrices, quasi-stationary patterns, referred to as market states, are seen by applying…

Statistical Finance · Quantitative Finance 2020-11-03 Anton J. Heckens , Sebastian M. Krause , Thomas Guhr

Previous research explored various conditions of financial markets based on the similarity of correlation structures and classified as market states. We introduce modifications to previous selection criteria for these market states, mainly…

Statistical Finance · Quantitative Finance 2023-09-13 Hirdesh K. Pharasi , Eduard Seligman , Suchetana Sadhukhan , Parisa Majari , Thomas H. Seligman

This paper studies the time-varying structure of the equity market with respect to market capitalization. First, we analyze the distribution of the 100 largest companies' market capitalizations over time, in terms of inequality,…

Mathematical Finance · Quantitative Finance 2025-02-21 Nick James , Max Menzies

In the rapidly evolving world of financial markets, understanding the dynamics of limit order book (LOB) is crucial for unraveling market microstructure and participant behavior. We introduce ClusterLOB as a method to cluster individual…

Trading and Market Microstructure · Quantitative Finance 2025-05-13 Yichi Zhang , Mihai Cucuringu , Alexander Y. Shestopaloff , Stefan Zohren

In financial markets, abnormal trading behaviors pose a serious challenge to market surveillance and risk management. What is worse, there is an increasing emergence of abnormal trading events that some experienced traders constitute a…

Trading and Market Microstructure · Quantitative Finance 2011-10-10 Junjie Wang , Shuigeng Zhou , Jihong Guan
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