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Simultaneous recordings from N electrodes generate N-dimensional time series that call for efficient representations to expose relevant aspects of the underlying dynamics. Binning the time series defines neural activity vectors that…

Neurons and Cognition · Quantitative Biology 2017-07-05 Gabriel Baglietto , Guido Gigante , Paolo Del Giudice

We consider the implications of the mathematical analysis of neurone-to-neurone dynamical complex networks. We show how the dynamical behaviour of small scale strongly connected networks lead naturally to non-binary information processing…

Neurons and Cognition · Quantitative Biology 2016-09-15 Peter Grindrod

Disorders of consciousness are a heterogeneous mixture of different diseases or injuries. Although some indicators and models have been proposed for prognostication, any single method when used alone carries a high risk of false prediction.…

Neurons and Cognition · Quantitative Biology 2018-09-10 Ming Song , Yi Yang , Jianghong He , Zhengyi Yang , Shan Yu , Qiuyou Xie , Xiaoyu Xia , Yuanyuan Dang , Qiang Zhang , Xinhuai Wu , Yue Cui , Bing Hou , Ronghao Yu , Ruxiang Xu , Tianzi Jiang

Characterizing the brain dynamics during different cortical states can reveal valuable information about its patterns across various cognitive processes. In particular, studying the differences between awake and sleep stages can shed light…

Scientific Artificial Intelligence (AI) applications require models that deliver trustworthy uncertainty estimates while respecting domain constraints. Existing uncertainty quantification methods lack mechanisms to incorporate symbolic…

Machine Learning · Computer Science 2026-01-21 Shahnawaz Alam , Mohammed Mudassir Uddin , Mohammed Kaif Pasha

We outline a possible theoretical framework for the quantitative modeling of networked embodied cognitive systems. We notice that: 1) information self structuring through sensory-motor coordination does not deterministically occur in Rn…

Adaptation and Self-Organizing Systems · Physics 2013-05-21 Fabio Bonsignorio

Human cognitive performance is constrained by limited mental resources, yet continuous computational estimation of cognitive capacity dynamics remains an open challenge. We propose a theory-driven multimodal learning framework that models…

Machine Learning · Computer Science 2026-05-26 Yisak Debele , Henok Ademtew , Israel Goytom

The assessment of consciousness and unconsciousness is a challenging issue in modern neuroscience. Consciousness is closely related to memory consolidation in that memory is a critical component of conscious experience. So far, many studies…

Signal Processing · Electrical Eng. & Systems 2020-05-19 Gi-Hwan Shin , Minji Lee , Seong-Whan Lee

This paper develops a neural jamming phase diagram that interprets the emergence of consciousness in large language models as a critical phenomenon in high-dimensional disordered systems.By establishing analogies with jamming transitions in…

Disordered Systems and Neural Networks · Physics 2025-07-14 Kaichen Ouyang

We have analysed the many facets of Consciousness into two distinct categories. First: the organisational state of the neural networks at any one time, which determines whether a person is conscious - awake, or unconscious - asleep. Second:…

Neurons and Cognition · Quantitative Biology 2009-07-14 Charles Ross , Shirley Redpath

Quantifying integrated information is a leading approach towards building a fundamental theory of consciousness. Integrated Information Theory (IIT) has gained attention in this regard due to its theoretically strong framework. However, it…

Information Theory · Computer Science 2016-12-15 Mohit Virmani , Nithin Nagaraj

A new cross-correlation synchrony index for neural activity is proposed. The index is based on the integration of the kernel estimation of the cross-correlation function. It is used to test for the dynamic synchronization levels of…

Neurons and Cognition · Quantitative Biology 2016-02-22 Aldana M. González Montoro , Ricardo Cao , Nelson Espinosa , Javier Cudeiro , Jorge Mariño

While the standard network description of complex systems is based on quantifying links between pairs of system units, higher-order interactions (HOIs) involving three or more units play a major role in governing the collective network…

Cybersickness poses a serious challenge for users of virtual reality (VR) technology. Consequently, there has been significant effort to track its occurrence during VR use with passive measures like brain activity recorded through…

Human-Computer Interaction · Computer Science 2026-03-30 Jacqueline Yau , Katherine J. Mimnaugh , Evan G. Center , Timo Ojala , Steven M. LaValle , Wenzhen Yuan , Nancy Amato , Minje Kim , Kara D. Federmeier

We develop the hierarchical cluster coherence (HCC) method for brain signals, a procedure for characterizing connectivity in a network by clustering nodes or groups of channels that display high level of coordination as measured by…

Applications · Statistics 2017-11-21 Carolina Euan , Ying Sun , Hernando Ombao

Evaluating artificial systems for signs of consciousness is increasingly becoming a pressing concern, and a rigorous psychometric measurement framework may be of crucial importance in evaluating large language models in this regard. Most…

Neurons and Cognition · Quantitative Biology 2023-09-08 Igor Ševo

Whether current or near-term AI systems could be conscious is a topic of scientific interest and increasing public concern. This report argues for, and exemplifies, a rigorous and empirically grounded approach to AI consciousness: assessing…

This article presents a heuristic view that shows that the inner states of consciousness experienced by every human being have a physical but imaginary hypercomplex basis. The hypercomplex description is necessary because certain processes…

Artificial Intelligence · Computer Science 2024-09-04 Ralf Otte

In service to the mathematical underpinnings of the Information Integration Theory of Consciousness (IIT), we introduce four measures of integration based on the partial information decomposition framework. We compare our measures to…

Information Theory · Computer Science 2026-05-19 Virgil Griffith

The brain may be thought of as a many-body architecture with a spatio-temporal dynamics described by neuronal structures. The oscillatory nature of brain activity allows these structures (nodes) to be described as a set of coupled…

Neurons and Cognition · Quantitative Biology 2021-02-03 J. Mendoza-Ruiz , C. E. Alonso-Malaver , M. Valderrama , O. A. Rosso , J. H. Martínez