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This paper explores neural network-based approaches for algorithmic trading in cryptocurrency markets. Our approach combines multi-timeframe trend analysis with high-frequency direction prediction networks, achieving positive risk-adjusted…

Computational Finance · Quantitative Finance 2025-08-05 Wěi Zhāng

Due to the mechanism of recording, the presence of multiple transactions at each recording time becomes a common feature for high-frequency data in financial market. Using random matrix theory, this paper considers the estimation of…

Statistics Theory · Mathematics 2019-09-06 Moming Wang , Ningning Xia , You Zhou

By studying all the trades and best bids/asks of ultra high frequency snapshots recorded from the order books of a basket of 10 futures assets, we bring qualitative empirical evidence that the impact of a single trade depends on the…

Trading and Market Microstructure · Quantitative Finance 2010-10-28 Khalil al Dayri , Emmanuel Bacry , Jean-Francois Muzy

A statistical physics model for the time evolutions of stock portfolios is proposed. In this model the time series of price changes are coded into the sequences of up and down spins. The Hamiltonian of the system is introduced and is…

Statistical Mechanics · Physics 2008-12-02 Jun-ichi Maskawa

A number of regularization methods for discrete inverse problems consist in considering weighted versions of the usual least square solution. However, these so-called filter methods are generally restricted to monotonic transformations,…

Statistics Theory · Mathematics 2011-05-05 Paul Rochet

We propose a model for equity trading in a population of agents where each agent acts to achieve his or her target stock-to-bond ratio, and, as a feedback mechanism, follows a market adaptive strategy. In this model only a fraction of…

Trading and Market Microstructure · Quantitative Finance 2018-11-14 Misha Perepelitsa , Ilya Timofeyev

Stock market returns are typically analyzed using standard regression, yet they reside on irregular domains which is a natural scenario for graph signal processing. To this end, we consider a market graph as an intuitive way to represent…

Portfolio Management · Quantitative Finance 2021-06-08 Alvaro Arroyo , Bruno Scalzo , Ljubisa Stankovic , Danilo P. Mandic

Extracting the spectral representations of the neural processes that underlie spiking activity is key to understanding how the brain rhythms mediate cognitive functions. While spectral estimation of continuous time-series is well studied,…

Information Theory · Computer Science 2020-12-02 Anuththara Rupasinghe , Behtash Babadi

In the present work we demonstrate the application of different physical methods to high-frequency or tick-by-tick financial time series data. In particular, we calculate the Hurst exponent and inverse statistics for the price time series…

Trading and Market Microstructure · Quantitative Finance 2009-11-13 M. Bartolozzi , C. Mellen , F. Chan , D. Oliver , T. Di Matteo , T. Aste

This work's purpose is to understand the dynamics of limit order books in order-driven markets. We try to illustrate a dynamical trading mechanism attached to the microstructure of limit order markets. We capture the iterative nature of…

Trading and Market Microstructure · Quantitative Finance 2014-01-13 Shilei Wang

Classical portfolio optimization methods typically determine an optimal capital allocation through the implicit, yet critical, assumption of statistical time-invariance. Such models are inadequate for real-world markets as they employ…

Statistical Finance · Quantitative Finance 2021-02-02 Bruno Scalzo , Alvaro Arroyo , Ljubisa Stankovic , Danilo P. Mandic

This paper builds a model of high-frequency equity returns by separately modeling the dynamics of trade-time returns and trade arrivals. Our main contributions are threefold. First, we characterize the distributional behavior of…

Trading and Market Microstructure · Quantitative Finance 2014-09-02 Eric M. Aldrich , Indra Heckenbach , Gregory Laughlin

Records of the traded value f_i(t) of stocks display fluctuation scaling, a proportionality between the standard deviation sigma(i) and the average <f(i)>: sigma(i) ~ f(i)^alpha, with a strong time scale dependence alpha(dt). The…

Physics and Society · Physics 2008-12-02 Zoltan Eisler , Janos Kertesz

In this paper we present a continuous time dynamical model of heterogeneous agents interacting in a financial market where transactions are cleared by a market maker. The market is composed of fundamentalist, trend following and contrarian…

Data Analysis, Statistics and Probability · Physics 2008-12-10 Giuseppe Garofalo , Alessandro Sansone

Fundamental variables in financial market are not only price and return but a very important role is also played by trading volumes. Here we propose a new multivariate model that takes into account price returns, logarithmic variation of…

Statistical Finance · Quantitative Finance 2020-07-14 Guglielmo D'Amico , Filippo Petroni

We analyze the hitting time distributions of stock price returns in different time windows, characterized by different levels of noise present in the market. The study has been performed on two sets of data from US markets. The first one is…

Physics and Society · Physics 2009-11-13 Davide Valenti , Bernardo Spagnolo , Giovanni Bonanno

Large trades in a financial market are usually split into smaller parts and traded incrementally over extended periods of time. We address these large trades as hidden orders. In order to identify and characterize hidden orders we fit…

Trading and Market Microstructure · Quantitative Finance 2015-05-18 Gabriella Vaglica , Fabrizio Lillo , Rosario N. Mantegna

In this paper we propose a deep recurrent architecture for the probabilistic modelling of high-frequency market prices, important for the risk management of automated trading systems. Our proposed architecture incorporates probabilistic…

Statistical Finance · Quantitative Finance 2020-04-06 Ye-Sheen Lim , Denise Gorse

It is common to have to process signals or images whose values are cyclic and can be represented as points on the complex circle, like wrapped phases, angles, orientations, or color hues. We consider a Tikhonov-type regularization model to…

Optimization and Control · Mathematics 2022-06-08 Laurent Condat

This manuscript reports a stochastic dynamical scenario whose associated stationary probability density function is exactly a previously proposed one to adjust high-frequency traded volume distributions. This dynamical conjecture,…

Statistical Mechanics · Physics 2009-11-11 Silvio M. Duarte Queiros
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