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Although it is unambiguously agreed that structure plays a fundamental role in shaping the dynamics of complex systems, this intricate relationship still remains unclear. We investigate a general computational transformation by which we can…

Disordered Systems and Neural Networks · Physics 2015-05-13 Jie Zhang , Changsong Zhou , Xiaoke Xu , Michael Small

Sustainable research on computational models of neuronal networks requires published models to be understandable, reproducible, and extendable. Missing details or ambiguities about mathematical concepts and assumptions, algorithmic…

Spatio-temporal network dynamics is an emergent property of many complex systems which remains poorly understood. We suggest a new approach to its study based on the analysis of dynamical motifs -- small subnetworks with periodic and…

Disordered Systems and Neural Networks · Physics 2007-05-23 Valentin P. Zhigulin

Novel experimental techniques reveal the simultaneous activity of larger and larger numbers of neurons. As a result there is increasing interest in the structure of cooperative -- or correlated -- activity in neural populations, and in the…

Neurons and Cognition · Quantitative Biology 2015-05-30 James Trousdale , Yu Hu , Eric Shea-Brown , Krešimir Josić

Cognition is the process of knowing. As carried out by a dynamical system, it is the process by which the system absorbs information into its state. A complex network of agents cognizes knowledge about its environment, internal dynamics and…

Multiagent Systems · Computer Science 2022-07-13 Jack Hall

Objective: Brain is a fantastic organ that helps creature adapting to the environment. Network is the most essential structure of brain, but the capability of a simple network is still not very clear. In this study, we try to expound some…

Neurons and Cognition · Quantitative Biology 2019-11-05 Xiang Zou , Lie Yao , Donghua Zhao , Liang Chen , Ying Mao

Recent neural network architectures have claimed to explain data from the human visual cortex. Their demonstrated performance is however still limited by the dependence on exploiting low-level features for solving visual tasks. This…

Computer Vision and Pattern Recognition · Computer Science 2022-05-30 Dakarai Crowder , Girik Malik

Real-world networks often benefit from capturing both local and global interactions. Inspired by multi-modal analysis in brain imaging, where structural and functional connectivity offer complementary views of network organization, we…

Neural and Evolutionary Computing · Computer Science 2025-08-11 Yang Li , Luopeiwen Yi , Tananun Songdechakraiwut

The human brain is a dynamical system whose extremely complex sensor-driven neural processes give rise to conceptual, logical cognition. Understanding the interplay between nonlinear neural dynamics and concept-level cognition remains a…

Neural and Evolutionary Computing · Computer Science 2024-11-19 Herbert Jaeger

In this review, we describe the singular success of attractor neural network models in describing how the brain maintains persistent activity states for working memory, error-corrects, and integrates noisy cues. We consider the mechanisms…

Neurons and Cognition · Quantitative Biology 2022-03-03 Mikail Khona , Ila R. Fiete

Human learning is a complex phenomenon that requires adaptive processes across a range of temporal and spacial scales. While our understanding of those processes at single scales has increased exponentially over the last few years, a…

Neurons and Cognition · Quantitative Biology 2016-09-08 Marcelo G. Mattar , Danielle S. Bassett

Neural networks have achieved success in a wide array of perceptual tasks but often fail at tasks involving both perception and higher-level reasoning. On these more challenging tasks, bespoke approaches (such as modular symbolic…

Computer Vision and Pattern Recognition · Computer Science 2021-10-27 David Ding , Felix Hill , Adam Santoro , Malcolm Reynolds , Matt Botvinick

Cross-correlations in the activity in neural networks are commonly used to characterize their dynamical states and their anatomical and functional organizations. Yet, how these latter network features affect the spatiotemporal structure of…

Neurons and Cognition · Quantitative Biology 2018-09-26 Ran Darshan , Carl van Vreeswijk , David Hansel

Many observables of brain dynamics appear to be optimized for computation. Which connectivity structures underlie this fine-tuning? We propose that many of these structures are naturally encoded in the space that more directly relates to…

Disordered Systems and Neural Networks · Physics 2023-09-18 Lorenzo Tiberi , David Dahmen , Moritz Helias

Findings in recent years on the sensitivity of convolutional neural networks to additive noise, light conditions and to the wholeness of the training dataset, indicate that this technology still lacks the robustness needed for the…

Image and Video Processing · Electrical Eng. & Systems 2020-07-23 Dan Malowany , Hugo Guterman

Predicting how the brain can be driven to specific states by means of internal or external control requires a fundamental understanding of the relationship between neural connectivity and activity. Network control theory is a powerful tool…

Neurons and Cognition · Quantitative Biology 2019-08-12 Teresa M. Karrer , Jason Z. Kim , Jennifer Stiso , Ari E. Kahn , Fabio Pasqualetti , Ute Habel , Danielle S. Bassett

Connectivity is a fundamental structural feature of a network that determines the outcome of any dynamics that happens on top of it. However, an analytical approach to obtain connection probabilities between nodes associated to paths of…

Atmospheric and Oceanic Physics · Physics 2021-04-28 Enrico Ser-Giacomi , Terence Legrand , Ismael Hernandez-Carrasco , Vincent Rossi

This paper describes how realistic neuromorphic networks can have their connectivity properties fully characterized in analytical fashion. By assuming that all neurons have the same shape and are regularly distributed along the…

Disordered Systems and Neural Networks · Physics 2009-11-10 Luciano da F. Costa

The neural network is a powerful computing framework that has been exploited by biological evolution and by humans for solving diverse problems. Although the computational capabilities of neural networks are determined by their structure,…

Neural and Evolutionary Computing · Computer Science 2019-03-27 Nathaniel Rodriguez , Eduardo Izquierdo , Yong-Yeol Ahn

Improvements in technique in conjunction with an evolution of the theoretical and conceptual approach to neuronal networks provide a new perspective on living neurons in culture. Organization and connectivity are being measured…

Disordered Systems and Neural Networks · Physics 2010-08-02 Jean-Pierre Eckmann , Ofer Feinerman , Leor Gruendlinger , Elisha Moses , Jordi Soriano , Tsvi Tlusty