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We propose a parametric model for the simulation of limit order books. We assume that limit orders, market orders and cancellations are submitted according to point processes with state-dependent intensities. We propose new functional forms…

Statistical Finance · Quantitative Finance 2019-07-15 Ioane Muni Toke , Nakahiro Yoshida

Managing the prediction of metrics in high-frequency financial markets is a challenging task. An efficient way is by monitoring the dynamics of a limit order book to identify the information edge. This paper describes the first publicly…

Computational Engineering, Finance, and Science · Computer Science 2020-03-12 Adamantios Ntakaris , Martin Magris , Juho Kanniainen , Moncef Gabbouj , Alexandros Iosifidis

We study the problem of how to coordinate the actions of independent agents in a distributed system where message arrival times are unbounded, but are determined by an exponential probability distribution. Asynchronous protocols executed in…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-10 Ariel Livshits , Yoram Moses

Autonomous agents are promising in applications such as intelligent transportation and smart manufacturing, and scheduling of agents has to take their inertial constraints into consideration. Most current researches require the obedience of…

Systems and Control · Electrical Eng. & Systems 2022-11-16 Feihong Yang , Yuan Shen

We address the problem of executing large client orders in continuous double-auction markets under time and liquidity constraints. We propose a model predictive control (MPC) framework that balances three competing objectives: order…

Trading and Market Microstructure · Quantitative Finance 2026-04-01 Thomas P. McAuliffe , Samuel Liew , Yuchao Li , Andrey Ushenin , Chihang Wang , Alexandros Tasos , Jack Pearce , Dimitris Tasoulis , Dimitri P. Bertsekas , Theodoros Tsagaris

Systems may depend on parameters which one may control, or which serve to optimise the system, or are imposed externally, or they could be uncertain. This last case is taken as the ``Leitmotiv'' for the following. A reduced order model is…

Machine Learning · Computer Science 2025-02-17 Hermann G. Matthies

Time series analysis has proven to be a powerful method to characterize several phenomena in biology, neuroscience and economics, and to understand some of their underlying dynamical features. Despite a plethora of methods have been…

Physics and Society · Physics 2023-03-01 Andrea Santoro , Federico Battiston , Giovanni Petri , Enrico Amico

Financial markets are often modelled as if time were unique and continuous across assets and markets. Financial markets are however asynchronous, order flow is event-driven, and waiting times between events are often random. Many of the…

Trading and Market Microstructure · Quantitative Finance 2026-04-29 Chris Angstmann , Tim Gebbie

Recently proposed generative models for discrete data, such as Masked Diffusion Models (MDMs), exploit conditional independence approximations to reduce the computational cost of popular Auto-Regressive Models (ARMs), at the price of some…

Machine Learning · Statistics 2025-12-18 Hugo Lavenant , Giacomo Zanella

Derivation of reduced order representations of dynamical systems requires the modeling of the truncated dynamics on the retained dynamics. In its most general form, this so-called closure model has to account for memory effects. In this…

Dynamical Systems · Mathematics 2020-06-12 Shaowu Pan , Karthik Duraisamy

We present a simple order book mechanism that regulates an artificial financial market with self-organized criticality dynamics and fat tails of returns distribution. The model shows the role played by individual imitation in determining…

Trading and Market Microstructure · Quantitative Finance 2016-02-29 Alessio Emanuele Biondo , Alessandro Pluchino , Andrea Rapisarda

We define a stochastic model of a two-sided limit order book in terms of its key quantities \textit{best bid [ask] price} and the \textit{standing buy [sell] volume density}. For a simple scaling of the discreteness parameters, that keeps…

Mathematical Finance · Quantitative Finance 2015-01-06 Ulrich Horst , Michael Paulsen

This article provides a simple explanation of the asymptotic concavity of the price impact of a meta-order via the microstructural properties of the market. This explanation is made more precise by a model in which the local relationship…

Trading and Market Microstructure · Quantitative Finance 2020-12-15 Sergey Nadtochiy

Given the combined evidences of bounded rationality, limited information and short-term optimization, over-the-counter (OTC) fresh product markets provide a perfect instance where to develop a behavioural approach to the analysis of…

Theoretical Economics · Economics 2025-11-17 Ali Ellouze , Bastien Fernandez

The Queue-Reactive model introduced by Huang et al. (2015) has become a standard tool for limit order book modeling, widely adopted by both researchers and practitioners for its simplicity and effectiveness. We present the Multidimensional…

Trading and Market Microstructure · Quantitative Finance 2025-01-16 Hamza Bodor , Laurent Carlier

In this paper two scheduling models are addressed. First is the standard model (unicast) where requests (or jobs) are independent. The other is the broadcast model where broadcasting a page can satisfy multiple outstanding requests for that…

Data Structures and Algorithms · Computer Science 2008-07-14 Chandra Chekuri , Benjamin Moseley

To model relaxed memory, we propose confusion-free event structures over an alphabet with a justification relation. Executions are modeled by justified configurations, where every read event has a justifying write event. Justification alone…

Programming Languages · Computer Science 2023-06-22 Alan Jeffrey , James Riely

We investigate the use of Reinforcement Learning for the optimal execution of meta-orders, where the objective is to execute incrementally large orders while minimizing implementation shortfall and market impact over an extended period of…

Trading and Market Microstructure · Quantitative Finance 2025-11-20 Tomas Espana , Yadh Hafsi , Fabrizio Lillo , Edoardo Vittori

Turbulent dynamical systems characterized by both a high-dimensional phase space and a large number of instabilities are ubiquitous among many complex systems in science and engineering. The existence of a strange attractor in the turbulent…

Fluid Dynamics · Physics 2018-02-23 Andrew J. Majda , Di Qi

Dynamical systems with high intrinsic dimensionality are often characterized by extreme events having the form of rare transitions several standard deviations away from the mean. For such systems, order-reduction methods through projection…

Chaotic Dynamics · Physics 2018-07-04 Zhong Yi Wan , Pantelis R. Vlachas , Petros Koumoutsakos , Themistoklis P. Sapsis
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