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Quantification of information content and its temporal variation in intracellular calcium spike trains in neurons helps one understand functions such as memory, learning, and cognition. Such quantification could also reveal pathological…

Signal Processing · Electrical Eng. & Systems 2021-02-02 Sathish Ande , Srinivas Avasarala , Jayanth R Regatti , Neha Pandey , Sarpras Swain , Ajith Karunarathne , Lopamudra Giri , Soumya Jana

Patterns of microcircuitry suggest that the brain has an array of repeated canonical computational units. Yet neural representations are distributed, so the relevant computations may only be related indirectly to single-neuron…

Neurons and Cognition · Quantitative Biology 2023-10-17 Rajkumar Vasudeva Raju , Zhe Li , Scott Linderman , Xaq Pitkow

Information theory has provided foundations for the theories of several application areas critical for modern society, including communications, computer storage, and AI. A key aspect of Shannon's 1948 theory is a sharp lower bound on the…

Efficient coding theory posits that sensory circuits transform natural signals into neural representations that maximize information transmission subject to resource constraints. Local interneurons are thought to play an important role in…

Neurons and Cognition · Quantitative Biology 2025-01-22 David Lipshutz , Eero P. Simoncelli

Identifying causal relationships is a challenging yet crucial problem in many fields of science like epidemiology, climatology, ecology, genomics, economics and neuroscience, to mention only a few. Recent studies have demonstrated that…

We consider discrete stochastic processes, modeled by classical master equations, on networks. The temporal growth of the lack of information about the system is captured by its non-equilibrium entropy, defined via the transition…

Statistical Mechanics · Physics 2017-04-26 Oliver Muelken , Sarah Heinzelmann , Maxim Dolgushev

Information theory is a practical and theoretical framework developed for the study of communication over noisy channels. Its probabilistic basis and capacity to relate statistical structure to function make it ideally suited for studying…

Neurons and Cognition · Quantitative Biology 2015-01-09 Simon R. Schultz , Robin A. A. Ince , Stefano Panzeri

Classical causal and statistical inference methods typically assume the observed data consists of independent realizations. However, in many applications this assumption is inappropriate due to a network of dependences between units in the…

Machine Learning · Computer Science 2019-07-02 Rohit Bhattacharya , Daniel Malinsky , Ilya Shpitser

The ability to distinguish between correlation and causation of variables in molecular systems remains an interesting and open area of investigation. In this work, we probe causality in a molecular system using two independent computational…

Chemical Physics · Physics 2025-02-27 Vittorio Del Tatto , Debarshi Banerjee , Ali Hassanali , Alessandro Laio

Entropy and information provide natural measures of correlation among elements in a network. We construct here the information theoretic analog of connected correlation functions: irreducible $N$--point correlation is measured by a decrease…

Biological Physics · Physics 2016-09-08 Elad Schneidman , Susanne Still , Michael J. Berry , William Bialek

Cells can be considered as systems that utilize changes in thermodynamic entropy as information. Therefore, they serve as useful models for investigating the relationships between entropy production and information transmission, i.e.,…

Molecular Networks · Quantitative Biology 2017-03-09 Tatsuaki Tsuruyama

The repertoire of neural activity patterns that a cortical network can produce constrains the network's ability to transfer and process information. Here, we measured activity patterns obtained from multi-site local field potential (LFP)…

Neurons and Cognition · Quantitative Biology 2010-12-17 Woodrow L. Shew , Hongdian Yang , Shan Yu , Rajarshi Roy , Dietmar Plenz

Causal inference provides an analytical framework to identify and quantify cause-and-effect relationships among a network of interacting agents. This paper offers a novel framework for analyzing cascading failures in power transmission…

Systems and Control · Electrical Eng. & Systems 2024-10-28 Shiuli Subhra Ghosh , Anmol Dwivedi , Ali Tajer , Kyongmin Yeo , Wesley M. Gifford

Understanding the relation between cortical neuronal network structure and neuronal activity is a fundamental unresolved question in neuroscience, with implications to our understanding of the mechanism by which neuronal networks evolve…

Transfer entropy (TE) is a powerful tool for measuring causal relationships within interaction networks. Traditionally, TE and its conditional variants are applied pairwise between dynamic variables to infer these causal relationships.…

Statistical Mechanics · Physics 2024-10-02 Julian Lee

Understanding the inner workings of neural networks is essential for enhancing model performance and interpretability. Current research predominantly focuses on examining the connection between individual neurons and the model's final…

Computer Vision and Pattern Recognition · Computer Science 2025-02-25 Tue M. Cao , Nhat X. Hoang , Hieu H. Pham , Phi Le Nguyen , My T. Thai

The representation of the flow of information between neurons in the brain based on their activity is termed the causal functional connectome. Such representation incorporates the dynamic nature of neuronal activity and causal interactions…

Neurons and Cognition · Quantitative Biology 2022-11-16 Rahul Biswas , Eli Shlizerman

In many complex systems, whether biological or artificial, the thermodynamic costs of communication among their components are large. These systems also tend to split information transmitted between any two components across multiple…

Statistical Mechanics · Physics 2024-02-12 Farita Tasnim , Nahuel Freitas , David H. Wolpert

The information entropy budget and the rate of information transfer between variables is studied in the context of a nonlinear reduced-order atmospheric model. The key ingredients of the dynamics are present in this model, namely the…

Atmospheric and Oceanic Physics · Physics 2024-04-02 Stéphane Vannitsem , Carlos A. Pires , David Docquier

This study investigates entropy's potential for analyzing scientific research patterns across disciplines. Originating from thermodynamics, entropy now measures uncertainty and diversity in information systems. We examine Shannon Entropy,…

Physics and Society · Physics 2025-03-27 Yujie Shi , Alex Jie Yang , Sanhong Deng