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Many natural systems are organized as networks, in which the nodes (be they cells, individuals or populations) interact in a time-dependent fashion. The dynamic behavior of these networks depends on how these nodes are connected, which can…

Neurons and Cognition · Quantitative Biology 2015-06-22 Anca Radulescu , Sergio Verduzco-Flores

The ability to modulate brain states using targeted stimulation is increasingly being employed to treat neurological disorders and to enhance human performance. Despite the growing interest in brain stimulation as a form of neuromodulation,…

Neurons and Cognition · Quantitative Biology 2016-01-07 Sarah Feldt Muldoon , Fabio Pasqualetti , Shi Gu , Matthew Cieslak , Scott T. Grafton , Jean M. Vettel , Danielle S. Bassett

Large sparse circuits of spiking neurons exhibit a balanced state of highly irregular activity under a wide range of conditions. It occurs likewise in sparsely connected random networks that receive excitatory external inputs and recurrent…

Neurons and Cognition · Quantitative Biology 2013-08-16 Sven Jahnke , Raoul-Martin Memmesheimer , Marc Timme

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

The training process of neural networks usually optimize weights and bias parameters of linear transformations, while nonlinear activation functions are pre-specified and fixed. This work develops a systematic approach to constructing…

Machine Learning · Computer Science 2024-10-29 Zhengqi Liu , Shuhao Cao , Yuwen Li , Ludmil Zikatanov

A biological regulatory network can be modeled as a discrete function that contains all available information on network component interactions. From this function we can derive a graph representation of the network structure as well as of…

Discrete Mathematics · Computer Science 2009-10-09 Heike Siebert

Artificial Intelligence has looked into biological systems as a source of inspiration. Although there are many aspects of the brain yet to be discovered, neuroscience has found evidence that the connections between neurons continuously grow…

Neural and Evolutionary Computing · Computer Science 2020-10-29 Javier Lopez Randulfe , Leon Bonde Larsen

Spiking activity of neurons engaged in learning and performing a task show complex spatiotemporal dynamics. While the output of recurrent network models can learn to perform various tasks, the possible range of recurrent dynamics that…

Neurons and Cognition · Quantitative Biology 2018-08-21 Christopher Kim , Carson Chow

Deep neural networks give us a powerful method to model the training dataset's relationship between input and output. We can regard that as a complex adaptive system consisting of many artificial neurons that work as an adaptive memory as a…

Disordered Systems and Neural Networks · Physics 2024-05-08 Kenichi Nakazato

How can animals behave effectively in conditions involving different motivational contexts? Here, we propose how reinforcement learning neural networks can learn optimal behavior for dynamically changing motivational salience vectors.…

Neurons and Cognition · Quantitative Biology 2019-11-20 Sergey A. Shuvaev , Ngoc B. Tran , Marcus Stephenson-Jones , Bo Li , Alexei A. Koulakov

In order to comprehend and enhance models that describes various brain regions is important to study the dynamics of trained recurrent neural networks. Including Dales law in such models usually presents several challenges. However, this is…

Neurons and Cognition · Quantitative Biology 2023-04-11 Cecilia Jarne , Mariano Caruso

Networks of neural mass nodes with delayed interactions are increasingly being used as models for large-scale brain activity. To complement the growing number of computational studies of such networks, it is timely to develop new…

Dynamical Systems · Mathematics 2025-09-29 S Coombes , H G E Meijer

The continuous integration of experimental data into coherent models of the brain is an increasing challenge of modern neuroscience. Such models provide a bridge between structure and activity, and identify the mechanisms giving rise to…

Neurons and Cognition · Quantitative Biology 2017-03-03 Jannis Schuecker , Maximilian Schmidt , Sacha J. van Albada , Markus Diesmann , Moritz Helias

We study an Ising model in a network with disorder induced by the presence of both attractive and repulsive links. This system is subjected to a subthreshold signal, and the goal is to see how the response is enhanced for a given fraction…

Disordered Systems and Neural Networks · Physics 2009-11-13 T. Vaz Martins , Raul Toral , M. A. Santos

While spike timing has been shown to carry detailed stimulus information at the sensory periphery, its possible role in network computation is less clear. Most models of computation by neural networks are based on population firing rates.…

Neurons and Cognition · Quantitative Biology 2015-07-17 Michael A. Schwemmer , Adrienne L. Fairhall , Sophie Denéve , Eric T. Shea-Brown

The state space of a conventional Hopfield network typically exhibits many different attractors of which only a small subset satisfy constraints between neurons in a globally optimal fashion. It has recently been demonstrated that combining…

Adaptation and Self-Organizing Systems · Physics 2014-09-02 Alexander Woodward , Tom Froese , Takashi Ikegami

Data-driven models for predicting dynamic responses of linear and nonlinear systems are of great importance due to their wide application from probabilistic analysis to inverse problems such as system identification and damage diagnosis. In…

Machine Learning · Computer Science 2020-12-29 Soheil Sadeghi Eshkevari , Martin Takáč , Shamim N. Pakzad , Majid Jahani

Continuous time recurrent neural networks (CTRNN) are systems of coupled ordinary differential equations that are simple enough to be insightful for describing learning and computation, from both biological and machine learning viewpoints.…

Dynamical Systems · Mathematics 2021-06-18 Peter Ashwin , Claire M Postlethwaite

Networks of interconnected neurons display diverse patterns of collective activity. Relating this collective activity to the network's connectivity structure is a key goal of computational neuroscience. We approach this question for…

Neurons and Cognition · Quantitative Biology 2025-06-09 Caitlin Lienkaemper , Gabriel Koch Ocker

Insight into how information can propagate within cortical networks is essential for a more complete understanding of neural dynamics and computation in complex networks. Networks with clustered connections have previously been shown to…

Neurons and Cognition · Quantitative Biology 2025-08-19 Abhijit Chakraborty , Greg Morrison
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