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Information about external world is delivered to the brain in the form of structured in time spike trains. During further processing in higher areas, information is subjected to a certain condensation process, which results in formation of…

Neurons and Cognition · Quantitative Biology 2015-03-17 Alexander K. Vidybida

It has long been debated whether information in the brain is coded at the rate of neuronal spiking or at the precise timing of single spikes. Although this issue is essential to the understanding of neural signal processing, it is not…

Neurons and Cognition · Quantitative Biology 2014-02-17 Yasuhiro Mochizuk , Shigeru Shinomoto

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

To understand how neural networks process information, it is important to investigate how neural network dynamics varies with respect to different stimuli. One challenging task is to design efficient statistical approaches to analyze…

Neurons and Cognition · Quantitative Biology 2018-11-30 Zhi-Qin John Xu , Douglas Zhou , David Cai

Causal inference is perhaps one of the most fundamental concepts in science, beginning originally from the works of some of the ancient philosophers, through today, but also weaved strongly in current work from statisticians, machine…

Information Theory · Computer Science 2020-03-31 Sudam Surasinghe , Erik M. Bollt

Transferring knowledge from one neural network to another has been shown to be helpful for learning tasks with few training examples. Prevailing fine-tuning methods could potentially contaminate pre-trained features by comparably high…

Machine Learning · Computer Science 2019-07-15 Farshid Varno , Behrouz Haji Soleimani , Marzie Saghayi , Lisa Di Jorio , Stan Matwin

When presented with a data stream of two statistically dependent variables, predicting the future of one of the variables (the target stream) can benefit from information about both its history and the history of the other variable (the…

Machine Learning · Computer Science 2023-03-10 Damjan Kalajdzievski , Ximeng Mao , Pascal Fortier-Poisson , Guillaume Lajoie , Blake Richards

Spikes are the currency in central nervous systems for information transmission and processing. They are also believed to play an essential role in low-power consumption of the biological systems, whose efficiency attracts increasing…

Neural and Evolutionary Computing · Computer Science 2020-05-05 Qiang Yu , Shenglan Li , Huajin Tang , Longbiao Wang , Jianwu Dang , Kay Chen Tan

We analyze phase transitions in the conditional entropy of a sequence caused by a change in the conditional variables. Such transitions happen, for example, when training to learn the parameters of a system, since the transition from the…

Information Theory · Computer Science 2021-01-07 Kang Gao , Bertrand Hochwald

In many realistic systems, maximum entropy principle (MEP) analysis provides an effective characterization of the probability distribution of network states. However, to implement the MEP analysis, a sufficiently long-time data recording in…

Biological Physics · Physics 2019-02-27 Zhi-Qin John Xu , Jennifer Crodelle , Douglas Zhou , David Cai

Spike-based encoders represent information as sequences of spikes or pulses, which are transmitted between neurons. A prevailing consensus suggests that spike-based approaches demonstrate exceptional capabilities in capturing the temporal…

Signal Processing · Electrical Eng. & Systems 2025-06-03 MHD Anas Alsakkal , Runze Wang , Jayawan Wijekoon , Huajin Tang

Several data-driven approaches based on information theory have been proposed for analyzing high-order interactions involving three or more components of a network system. Most of these methods are defined only in the time domain and rely…

Applications · Statistics 2025-03-18 Yuri Antonacci , Chiara Bara' , Laura Sparacino , Gorana Mijatovic , Ludovico Minati , Luca Faes

We implement the Ising model on a structural connectivity matrix describing the brain at a coarse scale. Tuning the model temperature to its critical value, i.e. at the susceptibility peak, we find a maximal amount of total information…

Neurons and Cognition · Quantitative Biology 2013-09-03 Daniele Marinazzo , Mario Pellicoro , Guorong Wu , Leonardo Angelini , Jesus M Cortes , Sebastiano Stramaglia

The aim of this paper is to investigate various information-theoretic measures, including entropy, mutual information, and some systematic measures that based on mutual information, for a class of structured spiking neuronal network. In…

Neurons and Cognition · Quantitative Biology 2019-12-04 Wenjie Li , Yao Li

Simultaneous recordings from many neurons hide important information and the connections characterizing the network remain generally undiscovered despite the progresses of statistical and machine learning techniques. Discerning the presence…

Applications · Statistics 2019-03-21 Pietro Verzelli , Laura Sacerdote

Transfer entropy is an established method for quantifying directed statistical dependencies in neuroimaging and complex systems datasets. The pairwise (or bivariate) transfer entropy from a source to a target node in a network does not…

Information Theory · Computer Science 2020-05-05 Leonardo Novelli , Fatihcan M. Atay , Jürgen Jost , Joseph T. Lizier

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

With the help of transfer entropy, we analyze information flows between communities of complex networks. We show that the transfer entropy provides a coherent description of interactions between communities, including non-linear…

Statistical Finance · Quantitative Finance 2019-11-18 Jan Korbel , Xiongfei Jiang , Bo Zheng

Periodic neural activity not locked to the stimulus or to motor responses is usually ignored. Here, we present new tools for modeling and quantifying the information transmission based on periodic neural activity that occurs with…

Neurons and Cognition · Quantitative Biology 2008-12-05 Kilian Koepsell , Friedrich T. Sommer

Deep neural networks often exhibit poor performance on data that is unlikely under the train-time data distribution, for instance data affected by corruptions. Previous works demonstrate that test-time adaptation to data shift, for instance…