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Electroencephalograms (EEG) are noninvasive measurement signals of electrical neuronal activity in the brain. One of the current major statistical challenges is formally measuring functional dependency between those complex signals. This…

Methodology · Statistics 2021-05-14 Marco Antonio Pinto-Orellana , Peyman Mirtaheri , Hugo L. Hammer , Hernando Ombao

Entanglement entropy (EE) provides a powerful probe of quantum phases, yet its role in identifying topological phase transitions in disordered systems remains underexplored. We introduce an exact EE-based framework that captures topological…

Strongly Correlated Electrons · Physics 2026-04-09 Manish Kumar , Bharadwaj Vedula , Suhas Gangadharaiah , Auditya Sharma

This paper introduces the minimum error entropy (MEE) criterion as an advanced information-theoretic loss function tailored for deep learning applications in wireless communications. The MEE criterion leverages higher-order statistical…

Information Theory · Computer Science 2024-11-03 Rumeshika Pallewela , Eslam Eldeeb , Hirley Alves

A new brain-computer interface (BCI) technology, deployed through minimally invasive surgery, is changing the way we think about treating severe neurological conditions. The central idea is to place a device called Stentrode in the brain's…

Signal Processing · Electrical Eng. & Systems 2025-09-30 Kalpesh Jaykar , Prasanth Velvaluri , Nian X. Sun , Richard D. James

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

Multi-electrode arrays (MEA) are increasingly used to investigate spontaneous neuronal network activity. The recorded signals comprise several distinct components: Apart from artefacts without biological significance, one can distinguish…

Neurons and Cognition · Quantitative Biology 2017-04-03 Måns Henningson , Sebastian Illes

We introduce a novel, data-driven topological data analysis (TDA) approach for embedding brain networks into a lower-dimensional space in quantifying the dynamics of temporal lobe epilepsy (TLE) obtained from resting-state functional…

Speckle Tracking Echocardiography (STE) is a relatively new method for cardiac function evaluation. In the current study, STE was used to investigate the timing of heart-induced mostly subaudible (i.e., below the frequency limit of human…

Signal Processing · Electrical Eng. & Systems 2018-05-01 Amirtaha Taebi , Richard H. Sandler , Bahram Kakavand , Hansen A. Mansy

Brain activity following stimulus presentation and during resting state are often the result of highly coordinated responses of large numbers of neurons both locally and globally. Coordinated activity of neurons can give rise to…

Applications · Statistics 2015-07-20 Carolina Euan , Hernando Ombao , Joaquin Ortega

Copula Entropy (CE) is a recently introduced concept for measuring correlation/dependence in information theory. In this paper, the theory of CE is introduced and the thermodynamic interpretation of CE is presented with N-particle…

Information Theory · Computer Science 2021-12-03 Jian Ma

In communications, unknown variables are usually modelled as random variables, and concepts such as independence, entropy and information are defined in terms of the underlying probability distributions. In contrast, control theory often…

Systems and Control · Computer Science 2014-01-14 Girish N. Nair

For many years now, understanding the brain mechanism has been a great research subject in many different fields. Brain signal processing and especially electroencephalogram (EEG) has recently known a growing interest both in academia and…

Neurons and Cognition · Quantitative Biology 2022-04-18 Victor Delvigne , Hazem Wannous , Jean-Philippe Vandeborre , Laurence Ris , Thierry Dutoit

Transient phenomena play a key role in coordinating brain activity at multiple scales, however,their underlying mechanisms remain largely unknown. A key challenge for neural data science is thus to characterize the network interactions at…

Neurons and Cognition · Quantitative Biology 2022-09-16 Kaidi Shao , Nikos K. Logothetis , Michel Besserve

Most nervous systems encode information about stimuli in the responding activity of large neuronal networks. This activity often manifests itself as dynamically coordinated sequences of action potentials. Since multiple electrode recordings…

Neurons and Cognition · Quantitative Biology 2011-11-09 Kristina Lisa Klinkner , Cosma Rohilla Shalizi , Marcelo F. Camperi

The concepts of information transfer and causal effect have received much recent attention, yet often the two are not appropriately distinguished and certain measures have been suggested to be suitable for both. We discuss two existing…

Adaptation and Self-Organizing Systems · Physics 2012-03-05 Joseph T. Lizier , Mikhail Prokopenko

Electroencephalograph (EEG) is a crucial tool for studying brain activity. Recently, self-supervised learning methods leveraging large unlabeled datasets have emerged as a potential solution to the scarcity of widely available annotated EEG…

Alterations in functional brain connectivity characterize neurodegenerative disorders such as Alzheimer's disease (AD) and frontotemporal dementia (FTD). As a non-invasive and cost-effective technique, electroencephalography (EEG) is…

Applications · Statistics 2025-11-19 Paolo Victor Redondo , Raphaël Huser , Hernando Ombao

In nervous system information is conveyed by sequence of action potentials (spikes-trains). As MacKay and McCulloch proposed, spike-trains can be represented as bits sequences coming from Information Sources. Previously, we studied…

Quantitative Methods · Quantitative Biology 2021-02-03 Agnieszka Pregowska

Entropy and mutual information in neural networks provide rich information on the learning process, but they have proven difficult to compute reliably in high dimensions. Indeed, in noisy and high-dimensional data, traditional estimates in…

Computer Vision and Pattern Recognition · Computer Science 2023-12-11 Danqi Liao , Chen Liu , Benjamin W. Christensen , Alexander Tong , Guillaume Huguet , Guy Wolf , Maximilian Nickel , Ian Adelstein , Smita Krishnaswamy

EEG signals in emotion recognition absorb special attention owing to their high temporal resolution and their information about what happens in the brain. Different regions of brain work together to process information and meanwhile the…

Signal Processing · Electrical Eng. & Systems 2021-12-24 Ensieh Khazaei , Hoda Mohammadzade
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