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We investigate correlations in information carriers, e.g. texts and pieces of music, which are represented by strings of letters. For information carrying strings generated by one source (i.e. a novel or a piece of music) we find…

Statistical Mechanics · Physics 2007-05-23 Werner Ebeling , Thorsten Poeschel , Karl-Friedrich Albrecht

This paper aims to show how some popular topics on social networks can be used to predict online newspaper views, related to the topics. Newspapers site and many social networks, become a good source of data to analyse and explain complex…

Summarized by the efficient market hypothesis, the idea that stock prices fully reflect all available information is always confronted with the behavior of real-world markets. While there is plenty of evidence indicating and quantifying the…

Physics and Society · Physics 2020-12-16 Luiz G. A. Alves , Higor Y. D. Sigaki , Matjaz Perc , Haroldo V. Ribeiro

In recent years there has been a closer interrelationship between several scientific areas trying to obtain a more realistic and rich explanation of the natural and social phenomena. Among these it should be emphasized the increasing…

Physics and Society · Physics 2016-09-08 Andreia Dionisio , Rui Menezes , Diana A. Mendes

In an increasingly connected global market, news sentiment towards one company may not only indicate its own market performance, but can also be associated with a broader movement on the sentiment and performance of other companies from the…

Social and Information Networks · Computer Science 2021-02-16 Xingchen Wan , Jie Yang , Slavi Marinov , Jan-Peter Calliess , Stefan Zohren , Xiaowen Dong

Transfer entropy, an information-theoretic measure of time-directed information transfer between joint processes, has steadily gained popularity in the analysis of complex stochastic dynamics in diverse fields, including the neurosciences,…

Applications · Statistics 2015-06-05 Lionel Barnett , Terry Bossomaier

Transfer entropy is used to establish a measure of causal relationships between two variables. Symbolic transfer entropy, as an estimation method for transfer entropy, is widely applied due to its robustness against non-stationarity. This…

Computational Complexity · Computer Science 2024-09-24 Dian Jin

We quantify the propagation and absorption of large-scale publicly available news articles from the World Wide Web to financial markets. To extract publicly available information, we use the news archives from the Common Crawl, a nonprofit…

Statistical Finance · Quantitative Finance 2020-10-26 Metod Jazbec , Barna Pásztor , Felix Faltings , Nino Antulov-Fantulin , Petter N. Kolm

The decision process requires information about the present state of the system, but in economy acquiring data and processing them is an expensive and time consuming process. Therefore the state of the system is measured and announced at…

Physics and Society · Physics 2007-09-21 Janusz Miskiewicz

The high-frequency cross-correlation existing between pairs of stocks traded in a financial market are investigated in a set of 100 stocks traded in US equity markets. A hierarchical organization of the investigated stocks is obtained by…

Statistical Mechanics · Physics 2008-12-02 Giovanni Bonanno , Fabrizio Lillo , Rosario N. Mantegna

A new interpretation of entanglement entropy is proposed: entanglement entropy of a pure state with respect to a division of a Hilbert space into two subspaces 1 and 2 is an amount of information, which can be transmitted through 1 and 2…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Shinji Mukohyama

The ability to quantify the directional flow of information is vital to understanding natural systems and designing engineered information-processing systems. A widely used measure to quantify this information flow is the transfer entropy.…

Molecular Networks · Quantitative Biology 2025-07-11 Avishek Das , Pieter Rein ten Wolde

Inferring the directionality of interactions between cellular processes is a major challenge in systems biology. Time-lagged correlations allow to discriminate between alternative models, but they still rely on assumed underlying…

Quantitative Methods · Quantitative Biology 2017-11-15 Sourabh Lahiri , Philippe Nghe , Sander J. Tans , Martin Luc Rosinberg , David Lacoste

Collective behaviours taking place in financial markets reveal strongly correlated states especially during a crisis period. A natural hypothesis is that trend reversals are also driven by mutual influences between the different stock…

Statistical Finance · Quantitative Finance 2015-06-17 Thomas Bury

The daily volume of transaction on the New York Stock Exchange and its day-to-day fluctuations are analysed with respect to power-law tails as well long-term trends. We also model the transition to a Gaussian distribution for longer time…

Physics and Society · Physics 2009-11-11 Caglar Tuncay , Dietrich Stauffer

A well-interpretable measure of information has been recently proposed based on a partition obtained by intersecting a random sequence with its moving average. The partition yields disjoint sets of the sequence, which are then ranked…

Statistical Finance · Quantitative Finance 2018-08-01 Linda Ponta , Anna Carbone

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

An increase in the novelty of news predicts negative stock market returns and negative macroeconomic outcomes over the next year. We quantify news novelty - changes in the distribution of news text - through an entropy measure, calculated…

General Finance · Quantitative Finance 2023-09-12 Paul Glasserman , Harry Mamaysky , Jimmy Qin

It is generally accepted that, when moving in groups, animals process information to coordinate their motion. Recent studies have begun to apply rigorous methods based on Information Theory to quantify such distributed computation.…

Quantitative Methods · Quantitative Biology 2017-05-05 Emanuele Crosato , Li Jiang , Valentin Lecheval , Joseph T. Lizier , X. Rosalind Wang , Pierre Tichit , Guy Theraulaz , Mikhail Prokopenko

Transfer entropy is a widely used measure for quantifying directed information flows in complex systems. While the challenges of estimating transfer entropy for continuous data are well known, it has two major shortcomings for data of…

Data Analysis, Statistics and Probability · Physics 2025-11-27 Alec Kirkley