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Financial trading has been a challenging task, as it requires the integration of vast amounts of data from various modalities. Traditional deep learning and reinforcement learning methods require large training data and often involve…

Trading and Market Microstructure · Quantitative Finance 2024-11-15 Sorouralsadat Fatemi , Yuheng Hu

We propose and discuss some toy models of stock markets using the same operatorial approach adopted in quantum mechanics. Our models are suggested by the discrete nature of the number of shares and of the cash which are exchanged in a real…

General Finance · Quantitative Finance 2009-11-13 F. Bagarello

We present a synthetic prediction market whose agent purchase logic is defined using a sigmoid transformation of a convex semi-algebraic set defined in feature space. Asset prices are determined by a logarithmic scoring market rule. Time…

Computational Engineering, Finance, and Science · Computer Science 2021-01-07 Nishanth Nakshatri , Arjun Menon , C. Lee Giles , Sarah Rajtmajer , Christopher Griffin

We use standard perturbation techniques originally formulated in quantum (statistical) mechanics in the analysis of a toy model of a stock market which is given in terms of bosonic operators. In particular we discuss the probability of…

General Finance · Quantitative Finance 2015-05-13 Fabio Bagarello

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

In this paper we propose an Ising model which simulates multiple financial time series. Our model introduces the interaction which couples to spins of other systems. Simulations from our model show that time series exhibit the volatility…

Statistical Finance · Quantitative Finance 2017-04-28 Tetsuya Takaishi

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

Financial stock returns correlations have been studied in the prism of random matrix theory, to distinguish the signal from the "noise". Eigenvalues of the matrix that are above the rescaled Marchenko Pastur distribution can be interpreted…

Statistical Finance · Quantitative Finance 2025-08-19 Ixandra Achitouv

The task of financial analysis primarily encompasses two key areas: stock trend prediction and the corresponding financial question answering. Currently, machine learning and deep learning algorithms (ML&DL) have been widely applied for…

Computation and Language · Computer Science 2024-03-20 Xiang Li , Zhenyu Li , Chen Shi , Yong Xu , Qing Du , Mingkui Tan , Jun Huang , Wei Lin

Generative models aim to simulate realistic effects of various actions across different contexts, from text generation to visual effects. Despite significant efforts to build real-world simulators, the application of generative models to…

Computational Finance · Quantitative Finance 2025-03-14 Junjie Li , Yang Liu , Weiqing Liu , Shikai Fang , Lewen Wang , Chang Xu , Jiang Bian

Statistical arbitrage is a prevalent trading strategy which takes advantage of mean reverse property of spread of paired stocks. Studies on this strategy often rely heavily on model assumption. In this study, we introduce an innovative…

Statistical Finance · Quantitative Finance 2024-03-20 Boming Ning , Kiseop Lee

Financial simulators play an important role in enhancing forecasting accuracy, managing risks, and fostering strategic financial decision-making. Despite the development of financial market simulation methodologies, existing frameworks…

Machine Learning · Computer Science 2024-02-13 Haochong Xia , Shuo Sun , Xinrun Wang , Bo An

Sustainable financial markets play an important role in the functioning of human society. Still, the detection and prediction of risk in financial markets remain challenging and draw much attention from the scientific community. Here we…

Physics and Society · Physics 2018-11-27 Jingfang Fan , Keren Cohen , Louis M. Shekhtman , Sibo Liu , Jun Meng , Yoram Louzoun , Shlomo Havlin

We study the behavior of simple models for financial markets with widely spread frequency either in the trading activity of agents or in the occurrence of basic events. The generic picture of a phase transition between information efficient…

Statistical Mechanics · Physics 2009-11-07 Matteo Marsili , Maurizio Piai

In order to use the advanced inference techniques available for Ising models, we transform complex data (real vectors) into binary strings, by local averaging and thresholding. This transformation introduces parameters, which must be varied…

Statistical Finance · Quantitative Finance 2015-06-17 Hongli Zeng , Rémi Lemoy , Mikko Alava

As automated trading gains traction in the financial market, algorithmic investment strategies are increasingly prominent. While Large Language Models (LLMs) and Agent-based models exhibit promising potential in real-time market analysis…

Multiagent Systems · Computer Science 2025-02-20 Xiangyu Li , Yawen Zeng , Xiaofen Xing , Jin Xu , Xiangmin Xu

The financial market is a mission-critical playground for AI agents due to its temporal dynamics and low signal-to-noise ratio. Building an effective algorithmic trading system may require a professional team to develop and test over the…

Multiagent Systems · Computer Science 2025-12-03 Jifeng Li , Arnav Grover , Abraham Alpuerto , Yupeng Cao , Xiao-Yang Liu

This paper proposes a new method to reverse engineer gene regulatory networks from experimental data. The modeling framework used is time-discrete deterministic dynamical systems, with a finite set of states for each of the variables. The…

Quantitative Methods · Quantitative Biology 2007-05-23 Reinhard Laubenbacher , Brandilyn Stigler

We describe a new model to simulate the dynamic interactions between market price and the decisions of two different kind of traders. They possess spatial mobility allowing to group together to form coalitions. Each coalition follows a…

Statistical Mechanics · Physics 2009-10-31 Filippo Castiglione

Decisions taken in our everyday lives are based on a wide variety of information so it is generally very difficult to assess what are the strategies that guide us. Stock market therefore provides a rich environment to study how people take…

General Finance · Quantitative Finance 2016-09-28 Mario Gutiérrez-Roig , Carlota Segura , Jordi Duch , Josep Perelló