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One classic idea from the cybernetics literature is the Every Good Regulator Theorem (EGRT). The EGRT provides a means to identify good regulation, or the conditions under which an agent (regulator) can match the dynamical behavior of a…

Other Computer Science · Computer Science 2025-10-07 Bradly Alicea , Morgan Hough , Amanda Nelson , Jesse Parent

A new brain model is introduced, based on the Impulse Pattern Formulation (IPF) already established for modeling and understanding musical instrument and rhythm perception and production. It assumes the brain works with impulses, neural…

Neurons and Cognition · Quantitative Biology 2023-01-24 Rolf Bader

Correlations between psychological and physiological phenomena form the basis for different medical and scientific disciplines, but the nature of this relation has not yet been fully understood. One conceptual option is to understand the…

Data Analysis, Statistics and Probability · Physics 2009-04-08 Carsten Allefeld , Harald Atmanspacher , Jiri Wackermann

We present a numerical study of a reaction-diffusion model on a small-world network. We characterize the model's average activity $F_T$ after $T$ time steps and the transition from a collective (global) extinct state to an active state in…

Disordered Systems and Neural Networks · Physics 2017-03-16 Leonardo I. Reyes

To better characterize the statistical processes underlying human decision-making, we performed experiments where human participants visualized fluctuations of physical nonequilibrium stationary states, and we analyzed responses in the…

Spontaneous brain activity, as observed in functional neuroimaging, has been shown to display reproducible structure that expresses brain architecture and carries markers of brain pathologies. An important view of modern neuroscience is…

Machine Learning · Statistics 2010-11-15 Gaël Varoquaux , Alexandre Gramfort , Jean Baptiste Poline , Bertrand Thirion

The goal of item response theoretic (IRT) models is to provide estimates of latent traits from binary observed indicators and at the same time to learn the item response functions (IRFs) that map from latent trait to observed response.…

Machine Learning · Statistics 2020-12-23 JBrandon Duck-Mayr , Roman Garnett , Jacob M. Montgomery

The meteoric rise in the adoption of deep neural networks as computational models of vision has inspired efforts to "align" these models with humans. One dimension of interest for alignment includes behavioral choices, but moving beyond…

Computer Vision and Pattern Recognition · Computer Science 2023-11-07 Lore Goetschalckx , Lakshmi Narasimhan Govindarajan , Alekh Karkada Ashok , Aarit Ahuja , David L. Sheinberg , Thomas Serre

This article examines large time behaviour of finite state mean-field interacting particle systems. Our first main result is a sharp estimate (in the exponential scale) on the time required for convergence of the empirical measure process…

Probability · Mathematics 2021-03-02 Sarath Yasodharan , Rajesh Sundaresan

In this paper, we identify a radically new viewpoint on the collective behaviour of groups of intelligent agents. We first develop a highly general abstract model for the possible future lives that these agents may encounter as a result of…

Other Quantitative Biology · Quantitative Biology 2017-04-20 Richard P. Mann , Roman Garnett

Although the time profiles of gamma ray bursts (GRBs) show extremely diverse behavior, their average statistical properties such as the average peak-aligned profile and the auto-correlation function show simple stretched-exponential…

Astrophysics · Physics 2009-10-28 Boris E. Stern , Roland Svensson

Many classical models of collective behavior assume that emergent dynamics result from external and observable interactions among individuals. However, how collective dynamics in human populations depend on the internal psychological…

Physics and Society · Physics 2024-09-27 Alice C Schwarze , Mari Kawakatsu , Sarah Iams , Nina H Fefferman , Tahra L Eissa

Time perception is the phenomenological experience of time by an individual. In this paper, we study how to replicate neural mechanisms involved in time perception, allowing robots to take a step towards temporal cognition. Our framework…

Systems and Control · Electrical Eng. & Systems 2019-12-24 Inês Lourenço , Bo Wahlberg , Rodrigo Ventura

In this paper, we propose a novel information theoretic model to interpret the entire "transmission chain" comprising stimulus generation, brain processing by the human subject, and the electroencephalograph (EEG) response measurements as a…

Information Theory · Computer Science 2015-09-15 Ketan Mehta , Jörg Kliewer

Most psychophysical experiments discard half the data collected. Specifically, experiments discard reaction time data, and use binary responses (e.g. yes/no) to measure performance. Here, Shannon's information theory is used to define…

Neurons and Cognition · Quantitative Biology 2021-12-14 James V Stone

Compared to other modalities, electroencephalogram (EEG) based emotion recognition can intuitively respond to emotional patterns in the human brain and, therefore, has become one of the most focused tasks in affective computing. The nature…

Signal Processing · Electrical Eng. & Systems 2024-08-14 Chenyu Liu , Xinliang Zhou , Yihao Wu , Yi Ding , Liming Zhai , Kun Wang , Ziyu Jia , Yang Liu

A statistical mechanics of neuronal interactions (SMNI) is explored as providing some substance to a physiological basis of the g factor. Some specific elements of SMNI, previously used to develop a theory of short-term memory (STM) and a…

Biological Physics · Physics 2007-05-23 Lester Ingber

The motion of pedestrian crowds (e.g. for simulation of an evacuation situation) can be modeled as a multi-body system of self driven particles with repulsive interaction. We use a few simple situations to determine the simplest allowed…

Physics and Society · Physics 2009-12-04 B. Steffen

The inverse Ising model is used in computational neuroscience to infer probability distributions of the synchronous activity of large neuronal populations. This method allows for finding the Boltzmann distribution with single neuron biases…

Neurons and Cognition · Quantitative Biology 2022-07-27 Geoffroy Delamare , Ulisse Ferrari

Recent advances in experimental techniques have allowed the simultaneous recording of populations of hundreds of neurons, allowing more comprehensive investigation into the nature of the collective structure of population neural activity.…

Neurons and Cognition · Quantitative Biology 2018-02-07 Mark L. Ioffe , Michael J. Berry