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Information theory has been taken as a prospective tool for quantifying the complexity of complex networks. In this paper, we first study the information entropy or uncertainty of a path using the information theory. Then we apply the path…

Physics and Society · Physics 2016-05-04 Zhongqi Xu , Cunlai Pu , Jian Yang

This paper presents a new foundational approach to information theory based on the concept of the information efficiency of a recursive function, which is defined as the difference between the information in the input and the output. The…

Information Theory · Computer Science 2023-08-29 Pieter Adriaans

We examine the dynamics of informational efficiency in a market with asymmetrically informed, boundedly rational traders who adaptively learn optimal strategies using simple multiarmed bandit (MAB) algorithms. The strategies available to…

Theoretical Economics · Economics 2024-11-11 Aleksei Pastushkov

We consider a general statistical estimation problem involving a finite-dimensional target parameter vector. Beyond an internal data set drawn from the population distribution, external information, such as additional individual data or…

Methodology · Statistics 2025-07-31 Guorong Dai , Lingxuan Shao , Jinbo Chen

We develop a novel technique to extract credit-relevant information from the text of quarterly earnings calls. This information is not spanned by fundamental or market variables and forecasts future credit spread changes. One reason for…

General Finance · Quantitative Finance 2023-09-12 Harry Mamaysky , Yiwen Shen , Hongyu Wu

We characterize information as risk reduction between knowledge states represented by partitions of the underlying probability space. Entropy corresponds to risk reduction from no (or partial) knowledge to full knowledge about a random…

Information Theory · Computer Science 2026-02-24 Sebastian Gottwald , Daniel A. Braun

We develop a theoretical framework for understanding how cognitive load affects information processing in financial markets and test it using exogenous variation in disclosure complexity. Our model distinguishes between attention allocation…

General Finance · Quantitative Finance 2025-07-10 Yimin Du , Guolin Tang

In financial markets valuable information is rarely circulated homogeneously, because of time required for information to spread. However, advances in communication technology means that the 'lifetime' of important information is typically…

Pricing of Securities · Quantitative Finance 2011-08-05 Dorje C. Brody , Yan Tai Law

Nowadays, financial data analysis is becoming increasingly important in the business market. As companies collect more and more data from daily operations, they expect to extract useful knowledge from existing collected data to help make…

Artificial Intelligence · Computer Science 2016-09-13 Fan Cai , Nhien-An Le-Khac , M-T. Kechadi

We determine the amount of information contained in a time series of price returns at a given time scale, by using a widespread tool of the information theory, namely the Shannon entropy, applied to a symbolic representation of this time…

Statistical Finance · Quantitative Finance 2022-08-26 Xavier Brouty , Matthieu Garcin

Pearson correlation and mutual information based complex networks of the day-to-day returns of US S&P500 stocks between 1985 and 2015 have been constructed in order to investigate the mutual dependencies of the stocks and their nature. We…

Statistical Finance · Quantitative Finance 2019-07-08 Alexander Haluszczynski , Ingo Laut , Heike Modest , Christoph Räth

Credit risk modeling relies extensively on Weight of Evidence (WoE) and Information Value (IV) for feature engineering, and Population Stability Index (PSI) for drift monitoring, yet their theoretical foundations remain disconnected. We…

Machine Learning · Statistics 2025-09-15 Agus Sudjianto , Denis Burakov

Measuring model performance is a key issue for deep learning practitioners. However, we often lack the ability to explain why a specific architecture attains superior predictive accuracy for a given data set. Often, validation accuracy is…

Machine Learning · Computer Science 2022-04-01 Marius C. Landverk , Signe Riemer-Sørensen

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

A primary objective of the NASA Earth-Sun Exploration Technology Office is to understand the observed Earth climate variability, thus enabling the determination and prediction of the climate's response to both natural and human-induced…

Data Analysis, Statistics and Probability · Physics 2013-11-20 Kevin H. Knuth , Anthony Gotera , Charles T. Curry , Karen A. Huyser , Kevin R. Wheeler , William B. Rossow

Companies do not operate in a vacuum. As companies move towards an increasingly specialized production function and their reach is becoming truly global, their aptitude in managing and shaping their inter-organizational network is a…

Risk Management · Quantitative Finance 2016-02-24 Tore Opsahl , William Newton

We conduct numerical simulations for an autonomous information engine comprising a set of coupled double quantum dots using a simple model. The steady-state entropy production rate in each component, heat and electron transfer rates are…

Statistical Mechanics · Physics 2020-09-29 Katsuaki Tanabe

We investigate the relative information efficiency of financial markets by measuring the entropy of the time series of high frequency data. Our tool to measure efficiency is the Shannon entropy, applied to 2-symbol and 3-symbol…

Statistical Finance · Quantitative Finance 2016-09-15 Lucio Maria Calcagnile , Fulvio Corsi , Stefano Marmi

The distribution of efficient individuals in the economy and the efforts that they will put in if they are hired, there are two important concerns for a technologically advanced firm. wants to open a new branch. The firm does not have…

Computer Science and Game Theory · Computer Science 2025-01-27 Sujata Goala , Mridu Prabal Goswami , Surajit Borkotokey

We study the effects of introducing information inefficiency in a model for a random linear economy with a representative consumer. This is done by considering statistical, instead of classical, economic general equilibria. Employing two…

General Finance · Quantitative Finance 2016-10-11 Joao Pedro Jerico , Renato Vicente