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While most models of randomly connected networks assume nodes with simple dynamics, nodes in realistic highly connected networks, such as neurons in the brain, exhibit intrinsic dynamics over multiple timescales. We analyze how the…

Disordered Systems and Neural Networks · Physics 2019-09-11 Samuel P. Muscinelli , Wulfram Gerstner , Tilo Schwalger

A recurrent neural network (RNN) is a universal approximator of dynamical systems, whose performance often depends on sensitive hyperparameters. Tuning of such hyperparameters may be difficult and, typically, based on a trial-and-error…

Neural and Evolutionary Computing · Computer Science 2017-02-22 Filippo Maria Bianchi , Lorenzo Livi , Cesare Alippi , Robert Jenssen

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 foundation of cognitive flexibility and higher-order intelligence lies in the functional structure and activity of brain networks, which can be dynamically configured by both external environments and internal states. However, decoding…

Neurons and Cognition · Quantitative Biology 2026-04-28 Binghao Yang , Guangzong Chen

Task based neuroimaging tools for the study of cognitive neuroscience provide insight into understanding how the brain responds to increasing cognitive demand. Theoretical models of neural-cognitive relationships have been developed based…

Quantitative Methods · Quantitative Biology 2016-06-21 Jason Steffener , Karen Li , Syrina Alain , Johannes Frasnelli

Understanding how neural dynamics shape cognitive experiences remains a central challenge in neuroscience and psychiatry. Here, we present a novel framework leveraging state-to-output controllability from dynamical systems theory to model…

A massively recurrent neural network responds on one side to input stimuli and is autonomously active, on the other side, in the absence of sensory inputs. Stimuli and information processing depends crucially on the qualia of the…

Disordered Systems and Neural Networks · Physics 2012-02-01 Dimitrije Markovic , Claudius Gros

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

The cognitive states have broadly been divided into waking, rapid eye movement sleep and non-REMS. Although the mechanism of state transition is unknown, it has been proposed that functional activation/deactivation among different brain…

Neurons and Cognition · Quantitative Biology 2021-09-21 Jasleen Gund , Yashaswee Mishra , R. K. Brojen Singh , B. N. Mallick

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

Recurrent Neural networks (RNN) have shown promising potential for learning dynamics of sequential data. However, artificial neural networks are known to exhibit poor robustness in presence of input noise, where the sequential architecture…

Machine Learning · Computer Science 2021-05-05 Arash Amini , Guangyi Liu , Nader Motee

It is widely accepted that the complex dynamics characteristic of recurrent neural circuits contributes in a fundamental manner to brain function. Progress has been slow in understanding and exploiting the computational power of recurrent…

Chaotic Dynamics · Physics 2013-07-18 Rodrigo Laje , Dean V. Buonomano

In cognitive network neuroscience, the connectivity and community structure of the brain network is related to cognition. Much of this research has focused on two measures of connectivity - modularity and flexibility - which frequently have…

Neurons and Cognition · Quantitative Biology 2017-11-28 Aurora I. Ramos-Nuñez , Simon Fischer-Baum , Randi Martin , Qiuhai Yue , Fengdan Ye , Michael W. Deem

Task-based modeling with recurrent neural networks (RNNs) has emerged as a popular way to infer the computational function of different brain regions. These models are quantitatively assessed by comparing the low-dimensional neural…

Neurons and Cognition · Quantitative Biology 2019-12-06 Niru Maheswaranathan , Alex H. Williams , Matthew D. Golub , Surya Ganguli , David Sussillo

Understanding how the brain learns to compute functions reliably, efficiently and robustly with noisy spiking activity is a fundamental challenge in neuroscience. Most sensory and motor tasks can be described as dynamical systems and could…

Neurons and Cognition · Quantitative Biology 2017-05-24 Sophie Denève , Alireza Alemi , Ralph Bourdoukan

Even when driven by the same stimulus, neuronal responses are well-known to exhibit a striking level of spiking variability. In-vivo electrophysiological recordings also reveal a surprisingly large degree of variability at the subthreshold…

Neurons and Cognition · Quantitative Biology 2025-03-19 Logan A. Becker , Francois Baccelli , Thibaud Taillefumier

An implanted device for brain-responsive neurostimulation (RNS System) is approved as an effective treatment to reduce seizures in adults with medically-refractory focal epilepsy. Clinical trials of the RNS System demonstrate…

Neurons and Cognition · Quantitative Biology 2021-02-22 Sharon Chiang , Ankit N. Khambhati , Emily T. Wang , Marina Vannucci , Edward F. Chang , Vikram R. Rao

Non-reciprocal interactions are a defining feature of many complex systems, biological, ecological, and technological, often pushing them far from equilibrium and enabling rich dynamical responses. These asymmetries can arise at multiple…

Biological Physics · Physics 2026-02-17 Anna Poggialini , Serena Di Santo , Pablo Villegas , Andrea Gabrielli , Miguel A. Muñoz

Cortical neurons emit seemingly erratic trains of action potentials or "spikes," and neural network dynamics emerge from the coordinated spiking activity within neural circuits. These rich dynamics manifest themselves in a variety of…

Neurons and Cognition · Quantitative Biology 2022-04-01 Braden A. W. Brinkman , Han Yan , Arianna Maffei , Il Memming Park , Alfredo Fontanini , Jin Wang , Giancarlo La Camera

The relation between large-scale brain structure and function is an outstanding open problem in neuroscience. We approach this problem by studying the dynamical regime under which realistic spatio-temporal patterns of brain activity emerge…

Neurons and Cognition · Quantitative Biology 2014-05-27 Ariel Haimovici , Enzo Tagliazucchi , Pablo Balenzuela , Dante R. Chialvo