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A micro-scale model is proposed for the evolution of the limit order book. Within this model, the flows of orders (claims) are described by doubly stochastic Poisson processes taking account of the stochastic character of intensities of bid…

Probability · Mathematics 2014-12-09 V. Yu. Korolev , A. V. Chertok , A. Yu. Korchagin , A. I. Zeifman

In the present work we develop a formalism to tackle the problem of optimal execution when trading market securities. More precisely, we introduce a utility function that balances market impact and timing risk, with this last being modelled…

Trading and Market Microstructure · Quantitative Finance 2020-07-17 David Marcos

Online marketplaces increasingly do more than simply match buyers and sellers: they route orders across competing sellers and, in many categories, offer ancillary fulfillment services that make seller inventory a source of platform revenue.…

Multiagent Systems · Computer Science 2026-04-09 Rene Caldentey , Tong Xie

Different techniques, used to optimise on-line principal component analysis, are investigated by methods of statistical mechanics. These include local and global optimisation of node-dependent learning-rates which are shown to be very…

Disordered Systems and Neural Networks · Physics 2009-10-31 E Schloesser , D Saad , M Biehl

In this paper, we examine in an abstract framework, how a tradeoff between efficiency and robustness arises in different dynamic oligopolistic market architectures. We consider a market in which there is a monopolistic resource provider and…

Systems and Control · Computer Science 2013-10-02 Qingqing Huang , Mardavij Roozbehani , Munther A Dahleh

This article investigates the problem of controlling linear time-invariant systems subject to time-varying and a priori unknown cost functions, state and input constraints, and exogenous disturbances. We combine the online convex…

Systems and Control · Electrical Eng. & Systems 2025-12-18 Marko Nonhoff , Emiliano Dall'Anese , Matthias A. Müller

We consider the problem of neural network training in a time-varying context. Machine learning algorithms have excelled in problems that do not change over time. However, problems encountered in financial markets are often time-varying. We…

Computational Finance · Quantitative Finance 2021-01-25 Steven Y. K. Wong , Jennifer Chan , Lamiae Azizi , Richard Y. D. Xu

Volume imbalance in a limit order book is often considered as a reliable indicator for predicting future price moves. In this work, we seek to analyse the nuances of the relationship between prices and volume imbalance. To this end, we…

Trading and Market Microstructure · Quantitative Finance 2024-07-24 Sergio Pulido , Mathieu Rosenbaum , Emmanouil Sfendourakis

Modern evolvements of the technologies have been leading to a profound influence on the financial market. The introduction of constituents like Exchange-Traded Funds, and the wide-use of advanced technologies such as algorithmic trading,…

Statistical Finance · Quantitative Finance 2021-08-20 Liao Zhu

Through the analysis of a dataset of ultra high frequency order book updates, we introduce a model which accommodates the empirical properties of the full order book together with the stylized facts of lower frequency financial data. To do…

Trading and Market Microstructure · Quantitative Finance 2014-09-05 Weibing Huang , Charles-Albert Lehalle , Mathieu Rosenbaum

In financial markets, the order flow, defined as the process assuming value one for buy market orders and minus one for sell market orders, displays a very slowly decaying autocorrelation function. Since orders impact prices, reconciling…

Statistical Finance · Quantitative Finance 2015-06-19 Damian Eduardo Taranto , Giacomo Bormetti , Fabrizio Lillo

The ultimate value of theories of the fundamental mechanisms comprising the asset price in financial systems will be reflected in the capacity of such theories to understand these systems. Although the models that explain the various states…

Trading and Market Microstructure · Quantitative Finance 2016-04-27 Kyubin Yim , Gabjin Oh , Seunghwan Kim

We study the optimal execution of market and limit orders with permanent and temporary price impacts as well as uncertainty in the filling of limit orders. Our continuous-time model incorporates a trade speed limiter and a trader director…

Mathematical Finance · Quantitative Finance 2017-04-13 Brian Bulthuis , Julio Concha , Tim Leung , Brian Ward

Anomaly detection on time series is a fundamental task in monitoring the Key Performance Indicators (KPIs) of IT systems. Many of the existing approaches in the literature show good performance while requiring a lot of training resources.…

Machine Learning · Computer Science 2021-09-07 Shi-Ying Lan , Run-Qing Chen , Wan-Lei Zhao

Most of the existing literature on optimal trade execution in limit order book models assumes that resilience is positive. But negative resilience also has a natural interpretation, as it models self-exciting behaviour of the price impact,…

Trading and Market Microstructure · Quantitative Finance 2022-07-25 Julia Ackermann , Thomas Kruse , Mikhail Urusov

The report presents with the development and optimisation of an enhanced algorithmic trading strategy through the use of historical S&P 500 market data and earnings call sentiment analysis. The proposed strategy integrates various technical…

Artificial Intelligence · Computer Science 2026-03-24 Owen Nyo Wei Yuan , Victor Tan Jia Xuan , Ong Jun Yao Fabian , Ryan Tan Jun Wei

The research identifies association rules that can inform marketing strategies and enhance operational efficiency. A structured methodology is applied to extract and interpret meaningful relationships within transactional data, emphasizing…

Databases · Computer Science 2024-12-30 Marina Kholod , Nikita Mokrenko

Most modern financial markets use a continuous double auction mechanism to store and match orders and facilitate trading. In this paper we develop a microscopic dynamical statistical model for the continuous double auction under the…

Statistical Mechanics · Physics 2009-11-07 Eric Smith , J. Doyne Farmer , Laszlo Gillemot , Supriya Krishnamurthy

We briefly review our recent studies on stochastic processes modelling internet on-line trading. We present a way to evaluate the average waiting time between the observation of the price in financial markets and the next price change,…

Statistical Finance · Quantitative Finance 2010-07-21 Jun-ichi Inoue , Naoya Sazuka , Enrico Scalas

Reinforcement Learning has emerged as a promising framework for developing adaptive and data-driven strategies, enabling market makers to optimize decision-making policies based on interactions with the limit order book environment. This…

Trading and Market Microstructure · Quantitative Finance 2026-02-17 Rafael Zimmer , Oswaldo Luiz do Valle Costa