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As few real systems comprise indistinguishable units, diversity is a hallmark of nature. Diversity among interacting units shapes properties of collective behavior such as synchronization and information transmission. However, the benefits…

Neurons and Cognition · Quantitative Biology 2016-05-06 Leonardo L. Gollo , Mauro Copelli , James A. Roberts

Neurons fire irregularly on multiple timescales when stimulated with a periodic pulse train. This raises two questions: Does this irregularity imply significant intrinsic stochasticity? Can existing neuron models be readily extended to…

Cell Behavior · Quantitative Biology 2013-01-14 Daniel Soudry , Ron Meir

How can neural networks learn to efficiently represent complex and high-dimensional inputs via local plasticity mechanisms? Classical models of representation learning assume that input weights are learned via pairwise Hebbian-like…

Neurons and Cognition · Quantitative Biology 2022-10-04 Fabian Alexander Mikulasch , Lucas Rudelt , Viola Priesemann

The neural mechanism of memory has a very close relation with the problem of representation in artificial intelligence. In this paper a computational model was proposed to simulate the network of neurons in brain and how they process…

Neurons and Cognition · Quantitative Biology 2020-12-02 Hui Wei

Adolescence is marked by rapid development of executive function. Mounting evidence suggests that executive function in adults may be driven by dynamic control of neurophysiological processes. Yet, how these dynamics evolve over adolescence…

Neurons and Cognition · Quantitative Biology 2015-10-30 John D. Medaglia , Theodore D. Satterthwaite , Tyler M. Moore , Kosha Ruparel , Ruben C. Gur , Raquel E. Gur , Danielle S. Bassett

Starting from the morphological-functional assumption of the fractal brain, a mathematical model is given by activating brain non-differentiable dynamics through the determinism-nondeterminism inference of the responsible mechanisms. The…

Neurons and Cognition · Quantitative Biology 2015-11-18 Maricel Agop , Alina Gavrilut , Gabriel Crumpei , Mitica Craus , Vlad Birlescu

Understanding the inner working mechanism of deep neural networks (DNNs) is essential and important for researchers to design and improve the performance of DNNs. In this work, the entropy analysis is leveraged to study the neurons…

Computer Vision and Pattern Recognition · Computer Science 2019-11-06 Longwei Wang , Peijie Chen

Trainable activation functions, whose parameters are optimized alongside network weights, offer increased expressivity compared to fixed activation functions. Specifically, trainable activation functions defined as ratios of polynomials…

Machine Learning · Computer Science 2025-07-22 Rafał Surdej , Michał Bortkiewicz , Alex Lewandowski , Mateusz Ostaszewski , Clare Lyle

The structure of the axon-dendrite connections of neurons of the brain creates a rich spatial structure in which provided various combinations of signals surrounding neurons. Structure of dendritic trees and shape of dendritic spines allow…

Artificial Intelligence · Computer Science 2014-07-25 Alexey Redozubov

Excitable cellular automata with dynamical excitation interval exhibit a wide range of space-time dynamics based on an interplay between propagating excitation patterns which modify excitability of the automaton cells. Such interactions…

Cellular Automata and Lattice Gases · Physics 2015-06-11 Andrew Adamatzky

The extant versions of many basal ganglia models use a `gating' model of dopamine function which enhances input to D1 receptor units and attenuates input to D2 receptor units. There is evidence that this model is unsatisfactory because (a)…

Neurons and Cognition · Quantitative Biology 2007-05-23 M. D. Humphries

We present a microscopic approach for the coupling of cortical activity, as resulting from proper dipole currents of pyramidal neurons, to the electromagnetic field in extracellular fluid in presence of diffusion and Ohmic conduction.…

Neurons and Cognition · Quantitative Biology 2013-10-08 Peter beim Graben , Serafim Rodrigues

A certain degree of inhibition is a common trait of dynamical networks in nature, ranging from neuronal and biochemical networks, to social and technological networks. We study here the role of inhibition in a representative dynamical…

Adaptation and Self-Organizing Systems · Physics 2017-12-27 Joao Pinheiro Neto , Marcus A. M. de Aguiar , José A. Brum , Stefan Bornholdt

Neural circuits comprise multiple interconnected regions, each with complex dynamics. The interplay between local and global activity is thought to underlie computational flexibility, yet the structure of multiregion neural activity and its…

Neurons and Cognition · Quantitative Biology 2025-01-09 David G. Clark , Manuel Beiran

Cortical pyramidal neurons have a complex dendritic anatomy, whose function is an active research field. In particular, the segregation between its soma and the apical dendritic tree is believed to play an active role in processing…

Neurons and Cognition · Quantitative Biology 2021-07-13 Fabian Schubert , Claudius Gros

Interpretability researchers have attempted to understand MLP neurons of language models based on both the contexts in which they activate and their output weight vectors. They have paid little attention to a complementary aspect: the…

Machine Learning · Computer Science 2025-05-26 Sebastian Gerstner , Hinrich Schütze

Complexity in the temporal organization of neural systems may be a reflection of the diversity of its neural constituents. These constituents, excitatory and inhibitory neurons, comprise an invariant ratio in vivo and form the substrate for…

Neurons and Cognition · Quantitative Biology 2015-05-18 Xin Chen , Rhonda Dzakpasu

This paper introduces a class of stochastic models of interacting neurons with emergent dynamics similar to those seen in local cortical populations, and compares them to very simple reduced models driven by the same mean excitatory and…

Neurons and Cognition · Quantitative Biology 2017-11-07 Yao Li , Logan Chariker , Lai-Sang Young

In this paper, we propose a new scheme for modelling the diverse behavior of neurons. We introduce the conditional activation, in which a neurons activation function is dynamically modified by a control signal. We apply this method to…

Neural and Evolutionary Computing · Computer Science 2018-03-15 Albert Lee , Bonnie Lam , Wenyuan Li , Hochul Lee , Wei-Hao Chen , Meng-Fan Chang , Kang. -L. Wang

Dynamic functional connectivity is an effective measure for the brain's responses to continuous stimuli. We propose an inferential method to detect the dynamic changes of brain networks based on time-varying graphical models. Whereas most…

Applications · Statistics 2020-06-23 Dingjue Ji , Junwei Lu , Yiliang Zhang , Hongyu Zhao , Siyuan Gao
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