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Financial markets are complex systems characterized by high statistical noise, nonlinearity, volatility, and constant evolution. Thus, modeling them is extremely hard. Here, we address the task of generating realistic and responsive Limit…

Trading and Market Microstructure · Quantitative Finance 2025-11-21 Leonardo Berti , Bardh Prenkaj , Paola Velardi

Limit Order Books (LOBs) serve as a mechanism for buyers and sellers to interact with each other in the financial markets. Modelling and simulating LOBs is quite often necessary for calibrating and fine-tuning the automated trading…

Trading and Market Microstructure · Quantitative Finance 2024-03-04 Konark Jain , Nick Firoozye , Jonathan Kochems , Philip Treleaven

We showcase how dropout variational inference can be applied to a large-scale deep learning model that predicts price movements from limit order books (LOBs), the canonical data source representing trading and pricing movements. We…

Computational Finance · Quantitative Finance 2019-03-26 Zihao Zhang , Stefan Zohren , Stephen Roberts

Limit order book (LOB) is a dynamic, event-driven system that records real-time market demand and supply for a financial asset in a stream flow. Event stream prediction in LOB refers to forecasting both the timing and the type of events.…

Statistical Finance · Quantitative Finance 2024-12-16 Zetao Zheng , Guoan Li , Deqiang Ouyang , Decui Liang , Jie Shao

We develop a large-scale deep learning model to predict price movements from limit order book (LOB) data of cash equities. The architecture utilises convolutional filters to capture the spatial structure of the limit order books as well as…

Computational Finance · Quantitative Finance 2020-01-24 Zihao Zhang , Stefan Zohren , Stephen Roberts

In this paper we consider classes of models that have been recently developed for quantitative finance that involve modelling a highly complex multivariate, multi-attribute stochastic process known as the Limit Order Book (LOB). The LOB is…

Computational Finance · Quantitative Finance 2015-04-23 Gareth W. Peters , Efstathios Panayi , Francois Septier

In this paper, we propose an event-driven Limit Order Book (LOB) model that captures twelve of the most observed LOB events in exchange-based financial markets. To model these events, we propose using the state-of-the-art Neural Hawkes…

Computational Finance · Quantitative Finance 2025-09-19 Luca Lalor , Anatoliy Swishchuk

Modern generative models for limit order books (LOBs) can reproduce realistic market dynamics, but remain fundamentally passive: they either model what typically happens without accounting for hypothetical future market conditions, or they…

Computational Finance · Quantitative Finance 2026-02-04 Zhuohan Wang , Carmine Ventre

We introduce a novel large-scale deep learning model for Limit Order Book mid-price changes forecasting, and we name it `HLOB'. This architecture (i) exploits the information encoded by an Information Filtering Network, namely the…

Trading and Market Microstructure · Quantitative Finance 2024-06-05 Antonio Briola , Silvia Bartolucci , Tomaso Aste

Financial market simulation (FMS) serves as a promising tool for understanding market anomalies and the underlying trading behaviors. To ensure high-fidelity simulations, it is crucial to calibrate the FMS model for generating data closely…

Computational Engineering, Finance, and Science · Computer Science 2025-06-17 Yuanzhe Li , Yue Wu , Muyao Zhong , Shengcai Liu , Peng Yang

Market by order (MBO) data - a detailed feed of individual trade instructions for a given stock on an exchange - is arguably one of the most granular sources of microstructure information. While limit order books (LOBs) are implicitly…

Trading and Market Microstructure · Quantitative Finance 2021-07-28 Zihao Zhang , Bryan Lim , Stefan Zohren

We exploit cutting-edge deep learning methodologies to explore the predictability of high-frequency Limit Order Book mid-price changes for a heterogeneous set of stocks traded on the NASDAQ exchange. In so doing, we release `LOBFrame', an…

Trading and Market Microstructure · Quantitative Finance 2024-06-05 Antonio Briola , Silvia Bartolucci , Tomaso Aste

Price Trend Prediction (PTP) based on Limit Order Book (LOB) data is a fundamental challenge in financial markets. Despite advances in deep learning, existing models fail to generalize across different market conditions and assets.…

Statistical Finance · Quantitative Finance 2025-05-09 Leonardo Berti , Gjergji Kasneci

The recent advancements in Deep Learning (DL) research have notably influenced the finance sector. We examine the robustness and generalizability of fifteen state-of-the-art DL models focusing on Stock Price Trend Prediction (SPTP) based on…

Trading and Market Microstructure · Quantitative Finance 2023-09-21 Matteo Prata , Giuseppe Masi , Leonardo Berti , Viviana Arrigoni , Andrea Coletta , Irene Cannistraci , Svitlana Vyetrenko , Paola Velardi , Novella Bartolini

We report successful results from using deep learning neural networks (DLNNs) to learn, purely by observation, the behavior of profitable traders in an electronic market closely modelled on the limit-order-book (LOB) market mechanisms that…

Computational Engineering, Finance, and Science · Computer Science 2018-11-08 Arthur le Calvez , Dave Cliff

Introducing an algebraic framework for modeling limit order books (LOBs) with tools from physics and stochastic processes, our proposed framework captures the creation and annihilation of orders, order matching, and the time evolution of…

Trading and Market Microstructure · Quantitative Finance 2024-06-10 Johannes Bleher , Michael Bleher

With the proliferation of algorithmic high-frequency trading in financial markets, the Limit Order Book has generated increased research interest. Research is still at an early stage and there is much we do not understand about the dynamics…

Trading and Market Microstructure · Quantitative Finance 2019-02-05 Faisal I Qureshi

We propose a framework for studying optimal market making policies in a limit order book (LOB). The bid-ask spread of the LOB is modelled by a Markov chain with finite values, multiple of the tick size, and subordinated by the Poisson…

Trading and Market Microstructure · Quantitative Finance 2011-06-29 Fabien Guilbaud , Huyen Pham

We propose a new model for the level I of a Limit Order Book (LOB), which incorporates the information about the standing orders at the opposite side of the book after each price change and the arrivals of new orders within the spread. Our…

Trading and Market Microstructure · Quantitative Finance 2016-03-15 Jonathan A. Chávez-Casillas , José E. Figueroa-López

Simulating limit order books (LOBs) has important applications across forecasting and backtesting for financial market data. However, deep generative models struggle in this context due to the high noise and complexity of the data. Previous…

Trading and Market Microstructure · Quantitative Finance 2025-09-08 Alfred Backhouse , Kang Li , Jakob Foerster , Anisoara Calinescu , Stefan Zohren
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