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Related papers: Information-Theoretic Approach to Financial Market…

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As a typical representation of complex networks studied relatively thoroughly, financial market presents some special details, such as its nonconservation and opinions spreading. In this model, agents congregate to form some clusters, which…

Other Condensed Matter · Physics 2007-05-23 Jie Wang , Chun-Xia Yang , Pei-Ling Zhou , Ying-Di Jin , Tao Zhou , Bing-Hong Wang

We developed a strategic of optimal portfolio based on information theory and Tsallis statistics. The growth rate of a stock market is defined by using $q$-deformed functions and we find that the wealth after n days with the optimal…

Statistical Finance · Quantitative Finance 2019-10-24 Marco A. S. Trindade , Sergio Floquet , Lourival M. S. Filho

We assume the market price to diffuse in a hierarchical comb of barriers, the heights of which represent the importance of new information entering the market. We find fat tails with the desired exponent for the price change distribution,…

Statistical Mechanics · Physics 2009-11-07 Christian Schulze

We propose a highly efficient and accurate methodology for generating synthetic financial market data using a diffusion model approach. The synthetic data produced by our methodology align closely with observed market data in several key…

Computational Finance · Quantitative Finance 2025-02-04 Andrew Lesniewski , Giulio Trigila

Information-theoretic principles for learning and acting have been proposed to solve particular classes of Markov Decision Problems. Mathematically, such approaches are governed by a variational free energy principle and allow solving MDP…

Artificial Intelligence · Computer Science 2016-04-08 Jordi Grau-Moya , Felix Leibfried , Tim Genewein , Daniel A. Braun

The purpose of the research was to build an index of informational asymmetry with market and firm proxies that reflect the analysts' perception of the level of informational asymmetry of companies. The proposed method consists of the…

General Finance · Quantitative Finance 2024-09-11 Roberto Frota Decourt , Heitor Almeida , Philippe Protin , Matheus R. C. Gonzalez

The present paper describes a practical example in which the probability distribution of the prices of a stock market blue chip is calculated as the wave function of a quantum particle confined in a potential well. This model may naturally…

General Finance · Quantitative Finance 2019-02-28 J. L. Subias

Betting markets are gaining in popularity. Mean beliefs generally differ from prices in prediction markets. Logarithmic utility is employed to study the risk and return adjustments to prices. Some consequences are described. A modified…

Portfolio Management · Quantitative Finance 2024-12-19 Bernhard K Meister

Analyzing decision problems under uncertainty commonly relies on idealizing assumptions about the describability of the world, with the most prominent examples being the closed world and the small world assumption. Most assumptions are…

Methodology · Statistics 2025-12-08 Christoph Jansen , Georg Schollmeyer , Thomas Augustin , Julian Rodemann

We quantify model risk of a financial portfolio whereby a multi-period mean-standard-deviation criterion is used as a selection criterion. In this work, model risk is defined as the loss due to uncertainty of the underlying distribution of…

Portfolio Management · Quantitative Finance 2021-08-06 Spiridon Penev , Pavel V. Shevchenko , Wei Wu

An asymmetric information model is introduced for the situation in which there is a small agent who is more susceptible to the flow of information in the market than the general market participant, and who tries to implement strategies…

Trading and Market Microstructure · Quantitative Finance 2013-01-31 Dorje C. Brody , Mark H. A. Davis , Robyn L. Friedman , Lane P. Hughston

This tutorial studies relationships between differential privacy and various information-theoretic measures by using several selective articles. In particular, we present how these connections can provide new interpretations for the privacy…

Information Theory · Computer Science 2023-03-29 Ayse Unsal , Melek Onen

Selecting an optimal subset of features or instances under an information theoretic criterion has become an effective preprocessing strategy for reducing data complexity while preserving essential information. This study investigates two…

Optimization and Control · Mathematics 2025-08-25 Taotao He , Jun Luo , Junkai Zhao

A new simple model of financial market is proposed, based on the sequential and inter-temporal nature of trader-trader interaction, and on a new simple trading strategy space. In this pattern-based speculation model, the traders open and…

Physics and Society · Physics 2007-05-23 Damien Challet

Studies conducted on financial market prediction lack a comprehensive feature set that can carry a broad range of contributing factors; therefore, leading to imprecise results. Furthermore, while cooperating with the most recent innovations…

Computational Engineering, Finance, and Science · Computer Science 2024-05-17 Amirhossein Aminimehr , Amin Aminimehr , Hamid Moradi Kamali , Sauleh Eetemadi , Saeid Hoseinzade

This paper applies the recently axiomatized Optimum Information Principle (minimize the Kullback-Leibler information subject to all relevant information) to nonparametric density estimation, which provides a theoretical foundation as well…

Statistics Theory · Mathematics 2011-03-28 Alexis Akira Toda

Most finance studies are discussed on the basis of several hypotheses, for example, investors rationally optimize their investment strategies. However, the hypotheses themselves are sometimes criticized. Market impacts, where trades of…

Computational Finance · Quantitative Finance 2022-02-03 Takanobu Mizuta , Isao Yagi , Kosei Takashima

Inferring and comparing complex, multivariable probability density functions is fundamental to problems in several fields, including probabilistic learning, network theory, and data analysis. Classification and prediction are the two faces…

Information Theory · Computer Science 2017-03-30 David J. Galas , T. Gregory Dewey , James Kunert-Graf , Nikita A. Sakhanenko

Related to an idea of Lewin, a mathematical model for behavioral changes under the influence of a social field is developed. The social field reflects public opinion, social norms and trends. It is not only given by external factors (the…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing

Efficient Market Hypothesis is the popular theory about stock prediction. With its failure much research has been carried in the area of prediction of stocks. This project is about taking non quantifiable data such as financial news…

Computation and Language · Computer Science 2016-07-08 Joshi Kalyani , Prof. H. N. Bharathi , Prof. Rao Jyothi