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Information theory allows us to investigate information processing in neural systems in terms of information transfer, storage and modification. Especially the measure of information transfer, transfer entropy, has seen a dramatic surge of…

Information Theory · Computer Science 2015-11-24 Patricia Wollstadt , Mario Martínez-Zarzuela , Raul Vicente , Francisco J. Díaz-Pernas , Michael Wibral

We theoretically investigate how information flows when two particles interact with each other. Understanding the physical mechanisms of directional information flow is crucial for advancing information thermodynamics and stochastic…

Statistical Mechanics · Physics 2026-03-12 Tenta Tani

We report an experimental and theoretical analysis of the energy exchanged between two conductors kept at different temperature and coupled by the electric thermal noise. Experimentally we determine, as functions of the temperature…

Statistical Mechanics · Physics 2015-06-12 Sergio Ciliberto , Alberto Imparato , Antoine Naert , Marius Tanase

Information transmission in cells occurs quite accurately even when concentration changes are "read" by individual target molecules. In this Letter we study molecule number fluctuations when molecules diffuse and react. We show that, for…

Biological Physics · Physics 2014-12-17 Emiliano Pérez Ipiña , Silvina Ponce Dawson

We propose a new way of investigating phase transitions in the context of information theory. We use an information-entropic measure of spatial complexity known as configurational entropy (CE) to quantify both the storage and exchange of…

Statistical Mechanics · Physics 2018-03-23 Damian Sowinski , Marcelo Gleiser

We propose a new perspective on Turbulence using Information Theory. We compute the entropy rate of a turbulent velocity signal and we particularly focus on its dependence on the scale. We first report how the entropy rate is able to…

Statistical Mechanics · Physics 2016-11-03 Carlos Granero-Belinchon , Stephane G. Roux , Nicolas B. Garnier

Generative diffusion models have emerged as a powerful class of models in machine learning, yet a unified theoretical understanding of their operation is still developing. This paper provides an integrated perspective on generative…

Machine Learning · Statistics 2026-03-27 Dejan Stancevic , Luca Ambrogioni

We propose a novel tensor-based formalism for inferring causal structures from time series. An information theoretical analysis of transfer entropy, shows that transfer entropy results from transmission of information over a set of…

Information Theory · Computer Science 2020-04-22 David Sigtermans

We consider the dependence of the electron transfer in photosynthetic complexes on correlation properties of random fluctuations of the protein environment. The electron subsystem is modeled by a finite network of connected electron…

Biological Physics · Physics 2015-06-23 Alexander I. Nesterov , Gennady P. Berman

Active matter generates order or patterns through nonequilibrium dynamics. An open research challenge is to determine how efficiently a nonequilibrium self-organising system can convert consumed energy into macroscopic order. We study an…

Adaptation and Self-Organizing Systems · Physics 2026-05-07 Qianyang Chen , Mikhail Prokopenko

We show that a rate of conditional Shannon entropy reduction, characterizing the learning of an internal process about an external process, is bounded by the thermodynamic entropy production. This approach allows for the definition of an…

Biological Physics · Physics 2014-11-07 Andre C. Barato , David Hartich , Udo Seifert

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

The functioning and efficiency of natural photosynthetic complexes is strongly influenced by their embedding in a noisy protein environment, which can even serve to enhance the transport efficiency. Interactions with the environment induce…

Biological Physics · Physics 2015-06-03 Sebastiaan M. Vlaming , Robert J. Silbey

In a feedforward network, Transfer Entropy (TE) can be used to measure the influence that one layer has on another by quantifying the information transfer between them during training. According to the Information Bottleneck principle, a…

Machine Learning · Computer Science 2024-04-03 Adrian Moldovan , Angel Cataron , Razvan Andonie

Whether the system under study is a shoal of fish, a collection of neurons, or a set of interacting atmospheric and oceanic processes, transfer entropy measures the flow of information between time series and can detect possible causal…

Machine Learning · Computer Science 2024-11-08 Kieran A. Murphy , Zhuowen Yin , Dani S. Bassett

We derive a general lower bound on distributions of entropy production in interacting active matter systems. The bound is tight in the limit that interparticle correlations are small and short-ranged, which we explore in four canonical…

Statistical Mechanics · Physics 2021-02-03 Trevor GrandPre , Katherine Klymko , Kranthi K. Mandadapu , David T. Limmer

Time lags are ubiquitous in biophysiological processes and more generally in real-world complex networks. It has been recently proposed to use information-theoretic tools such as transfer entropy to detect and estimate a possible delay in…

Statistical Mechanics · Physics 2018-10-03 M. L. Rosinberg , G. Tarjus , T. Munakata

Discovering causal direction from temporal observational data is particularly challenging for symbolic sequences, where functional models and noise assumptions are often unavailable. We propose a novel \emph{Dictionary Based Pattern Entropy…

Machine Learning · Statistics 2026-03-06 Harikrishnan N B , Shubham Bhilare , Aditi Kathpalia , Nithin Nagaraj

Even in the steady-state, the number of biomolecules in living cells fluctuates dynamically; and the frequency spectrum of this chemical fluctuation carries valuable information about the mechanism and the dynamics of the intracellular…

Biological Physics · Physics 2018-08-21 Sanggeun Song , Gil-Suk Yang , Seong Jun Park , Ji-Hyun Kim , Jaeyoung Sung

Transport of intensity equation (TIE) exhibits a non-interferometric correlation between intensity and phase variations of intermediate fields (e.g., light and electron) in biological imaging. Previous TIE formulations have generally…

Biological Physics · Physics 2023-07-17 Masaki Watabe , Yasuhiro Hirano , Atsuko Iwane , Osamu Matoba , Koichi Takahashi