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The major problem in information theoretic analysis of neural responses and other biological data is the reliable estimation of entropy--like quantities from small samples. We apply a recently introduced Bayesian entropy estimator to…

Data Analysis, Statistics and Probability · Physics 2009-09-29 Ilya Nemenman , William Bialek , Rob de Ruyter van Steveninck

Neurons in the nervous system convey information to higher brain regions by the generation of spike trains. An important question in the field of computational neuroscience is how these sensory neurons encode environmental information in a…

Neurons and Cognition · Quantitative Biology 2013-09-13 Alex Susemihl , Ron Meir , Manfred Opper

Maximum entropy principle (MEP) analysis with few non-zero effective interactions successfully characterizes the distribution of dynamical states of pulse-coupled networks in many experiments, e.g., in neuroscience. To better understand the…

Biological Physics · Physics 2019-01-17 Zhi-Qin John Xu , Douglas Zhou , David Cai

Humans and animals can recognize latent structures in their environment and apply this information to efficiently navigate the world. However, it remains unclear what aspects of neural activity contribute to these computational…

Neurons and Cognition · Quantitative Biology 2024-04-12 Albert J. Wakhloo , Will Slatton , SueYeon Chung

The nervous system solves a wide variety of problems in signal processing. In many cases the performance of the nervous system is so good that it apporaches fundamental physical limits, such as the limits imposed by diffraction and photon…

Condensed Matter · Physics 2009-10-22 Marc Potters , William Bialek

We propose a method that allows for a rigorous statistical analysis of neural responses to natural stimuli which are non-Gaussian and exhibit strong correlations. We have in mind a model in which neurons are selective for a small number of…

Biological Physics · Physics 2007-05-23 Tatyana Sharpee , Nicole C. Rust , William Bialek

It is widely accepted that the brain operates near a critical state, characterized by neural avalanches that follow power-law distributions. However, the functional rationale for why neural systems attain criticality remains unclear. Here,…

Neurons and Cognition · Quantitative Biology 2026-05-22 He Xiao , Xinyue Zhao , Weikang Wang

Neural populations encode information about their stimulus in a collective fashion, by joint activity patterns of spiking and silence. A full account of this mapping from stimulus to neural activity is given by the conditional probability…

Neurons and Cognition · Quantitative Biology 2013-06-14 Einat Granot-Atedgi , Gašper Tkačik , Ronen Segev , Elad Schneidman

Biological networks have so many possible states that exhaustive sampling is impossible. Successful analysis thus depends on simplifying hypotheses, but experiments on many systems hint that complicated, higher order interactions among…

Neurons and Cognition · Quantitative Biology 2009-11-11 Elad Schneidman , Michael J. Berry , Ronen Segev , William Bialek

Deep neural networks give us a powerful method to model the training dataset's relationship between input and output. We can regard that as a complex adaptive system consisting of many artificial neurons that work as an adaptive memory as a…

Disordered Systems and Neural Networks · Physics 2024-05-08 Kenichi Nakazato

Our knowledge of the sensory world is encoded by neurons in sequences of discrete, identical pulses termed action potentials or spikes. There is persistent controversy about the extent to which the precise timing of these spikes is relevant…

Neurons and Cognition · Quantitative Biology 2007-05-23 Ilya Nemenman , Geoffrey D. Lewen , William Bialek , Rob R. de Ruyter van Steveninck

Our ability to use deep learning approaches to decipher neural activity would likely benefit from greater scale, in terms of both model size and datasets. However, the integration of many neural recordings into one unified model is…

Random walks are fundamental tools for analyzing complex networked systems, including social networks, biological systems, and communication infrastructures. While classical random walks focus on pairwise interactions, many real-world…

Systems and Control · Electrical Eng. & Systems 2026-03-13 Anqi Dong , Anzhi Sheng , Xin Mao , Can Chen

Effective analysis in neuroscience benefits significantly from robust conceptual frameworks. Traditional metrics of interbrain synchrony in social neuroscience typically depend on fixed, correlation-based approaches, restricting their…

Neurons and Cognition · Quantitative Biology 2025-12-01 Nicolás Hinrichs , Noah Guzmán , Melanie Weber

Deciphering the underpinnings of the dynamical processes leading to information transmission, processing, and storing in the brain is a crucial challenge in neuroscience. An inspiring but speculative theoretical idea is that such dynamics…

Statistical Mechanics · Physics 2023-07-21 Guillermo B. Morales , Serena Di Santo , Miguel A. Muñoz

Efficient networking has a substantial economic and societal impact in a broad range of areas including transportation systems, wired and wireless communications and a range of Internet applications. As transportation and communication…

Physics and Society · Physics 2015-05-30 Chi Ho Yeung , David Saad

A critical mystery in neuroscience lies in determining how anatomical structure impacts the complex functional dynamics of human thought. How does large-scale brain circuitry constrain states of neuronal activity and transitions between…

Neurons and Cognition · Quantitative Biology 2016-07-08 Shi Gu , Matthew Cieslak , Benjamin Baird , Sarah F. Muldoon , Scott T. Grafton , Fabio Pasqualetti , Danielle S. Bassett

Recent studies have explored theoretically the ability of populations of neurons to carry information about a set of stimuli, both in the case of purely discrete or purely continuous stimuli, and in the case of multidimensional continuous…

Disordered Systems and Neural Networks · Physics 2009-11-10 Valeria Del Prete

A measure called Physical Complexity is established and calculated for a population of sequences, based on statistical physics, automata theory, and information theory. It is a measure of the quantity of information in an organism's genome.…

Biological Physics · Physics 2011-12-02 Gerard Briscoe , Philippe De Wilde

How does the information flow between different brain regions during various stimuli? This is the question we aim to address by studying complex cognitive paradigms in terms of Information Theory. To assess creativity and the emergence of…

Neurons and Cognition · Quantitative Biology 2025-07-08 Ania Mesa-Rodríguez , Ernesto Estevez-Rams , Holger Kantz
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