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Quantification of complexity in neurophysiological signals has been studied using different methods, especially those from information or dynamical system theory. These studies revealed the dependence on different states of consciousness,…

Neurons and Cognition · Quantitative Biology 2017-01-26 D. M. Mateos , R. Guevara Erra , R. Wennberg , J. L. Perez Velazquez

The inquiry into the origin of brain complexity remains a pivotal question in neuroscience. While synaptic stimuli are acknowledged as significant, their efficacy often falls short in elucidating the extensive interconnections of the brain…

Neurons and Cognition · Quantitative Biology 2024-04-29 Gabriel Moreno Cunha , Gillberto Corso , Matheus Phellipe Brasil de Sousa , Gustavo Zampier dos Santos Lima

Theories of consciousness depend on data, and it needs to be appropriate data, without overwhelming confounding factors. The reports of Minimal Phenomenal Experience (MPE) in [Metzinger 2024] relate to consciousness in a state purer than…

Neurons and Cognition · Quantitative Biology 2025-09-30 Robert Worden

Maximum entropy principle (MEP) offers an effective and unbiased approach to inferring unknown probability distributions when faced with incomplete information, while neural networks provide the flexibility to learn complex distributions…

Machine Learning · Statistics 2024-12-04 Wuyue Yang , Liangrong Peng , Guojie Li , Liu Hong

We seek general principles of the structure of the cellular collective activity associated with conscious awareness. Can we obtain evidence for features of the optimal brain organization that allows for adequate processing of stimuli and…

Neurons and Cognition · Quantitative Biology 2017-12-27 D. M. Mateos , R. Wennberg , R. Guevara , J. L. Perez Velazquez

Recent advances in multimodal large reasoning models (MLRMs) have substantially improved their ability to solve complex textual and visual tasks. However, these models tend to overthink on simple problems, producing unnecessarily lengthy…

Computation and Language · Computer Science 2025-10-10 Shuang Chen , Yue Guo , Yimeng Ye , Shijue Huang , Wenbo Hu , Haoxi Li , Manyuan Zhang , Jiayu Chen , Song Guo , Nanyun Peng

We observe an infinite sequence of independent identically distributed random variables $X_1,X_2,\ldots$ drawn from an unknown distribution $p$ over $[n]$, and our goal is to estimate the entropy $H(p)=-\mathbb{E}[\log p(X)]$ within an…

Information Theory · Computer Science 2025-04-24 Tomer Berg , Or Ordentlich , Ofer Shayevitz

The maximum entropy principle (MEP) is a method for obtaining the most likely distribution functions of observables from statistical systems, by maximizing entropy under constraints. The MEP has found hundreds of applications in ergodic and…

Classical Physics · Physics 2016-10-03 Rudolf Hanel , Stefan Thurner , Murray Gell-Mann

Multiscale inherent fuzzy entropy is an objective measurement of electroencephalography (EEG) complexity, reflecting the habituation of brain systems. Entropy dynamics are generally believed to reflect the ability of the brain to adapt to a…

Signal Processing · Electrical Eng. & Systems 2019-05-28 Zehong Cao , Weiping Ding , Yu-Kai Wang , Farookh Khadeer Hussain , Adel Al-Jumaily , Chin-Teng Lin

A model of consciousness is proposed which, having a logical basis, lends itself to simulation using a simple mathematical model called Consciousness as Entropy Reduction (CER). The approach has been inspired by previous models such as GWT,…

Neurons and Cognition · Quantitative Biology 2025-10-09 Yifeng Chen , J. W. Sanders

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

The Context-Content Uncertainty Principle (CCUP) proposes that inference under uncertainty is governed by an entropy asymmetry between context and content: high-entropy contexts must be interpreted through alignment with low-entropy,…

Machine Learning · Computer Science 2025-06-27 Xin Li

We propose semantic entropy probes (SEPs), a cheap and reliable method for uncertainty quantification in Large Language Models (LLMs). Hallucinations, which are plausible-sounding but factually incorrect and arbitrary model generations,…

Computation and Language · Computer Science 2024-06-25 Jannik Kossen , Jiatong Han , Muhammed Razzak , Lisa Schut , Shreshth Malik , Yarin Gal

Dependence among marginally constrained observations can break a finite-sample barrier. To formalize this phenomenon, we introduce the \emph{minimum list entropy coupling} $H(P\|Q_1,\dots,Q_m)$, the minimum conditional entropy…

Information Theory · Computer Science 2026-05-18 Shahab Asoodeh , Jun Chen

Chain-of-Thought (CoT) has substantially empowered Large Language Models (LLMs) to tackle complex reasoning tasks, yet the verbose nature of explicit reasoning steps incurs prohibitive inference latency and computational costs, limiting…

Machine Learning · Computer Science 2026-02-27 Qin-Wen Luo , Sheng Ren , Xiang Chen , Rui Liu , Jun Fang , Naiqiang Tan , Sheng-Jun Huang

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

The multifaceted nature of subjective experience poses a challenge to the study of consciousness. Traditional neuroscientific approaches often concentrate on isolated facets, such as perceptual awareness or the global state of consciousness…

Mixtures of Hidden Markov Models (MHMMs) are frequently used for clustering of sequential data. An important aspect of MHMMs, as of any clustering approach, is that they can be interpretable, allowing for novel insights to be gained from…

Artificial Intelligence · Computer Science 2021-03-24 Negar Safinianaini , Henrik Boström

In various chemical systems enthalpy-entropy compensation (EEC) is a well-known rule of behavior, although the physical roots of it are still not completely understood. It has been frequently questioned whether EEC is a truly physical…

Statistical Mechanics · Physics 2015-06-04 E. B. Starikov , B. Norden

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
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