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We study with numerical simulation the possible limit behaviors of synchronous discrete-time deterministic recurrent neural networks composed of N binary neurons as a function of a network's level of dilution and asymmetry. The network…

Disordered Systems and Neural Networks · Physics 2018-05-11 Viola Folli , Giorgio Gosti , Marco Leonetti , Giancarlo Ruocco

Networks of the brain are composed of a very large number of neurons connected through a random graph and interacting after random delays that both depend on the anatomical distance between cells. In order to comprehend the role of these…

Mathematical Physics · Physics 2014-05-16 Cristobal Quininao , Jonathan Touboul

Individual differences in brain functional networks may be related to complex personal identifiers, including health, age, and ability. Understanding and quantifying these differences is a necessary first step towards developing predictive…

Network control theory has recently emerged as a promising approach for understanding brain function and dynamics. By operationalizing notions of control theory for brain networks, it offers a fundamental explanation for how brain dynamics…

Quantitative Methods · Quantitative Biology 2020-03-20 Shikuang Deng , Shi Gu

A complete understanding of the brain requires an integrated description of the numerous scales of neural organization. It means studying the interplay of genes, synapses, and even whole brain regions which ultimately leads to different…

Neurons and Cognition · Quantitative Biology 2022-08-09 Charley Presigny , Fabrizio De Vico Fallani

The human brain is the gold standard of adaptive learning. It not only can learn and benefit from experience, but also can adapt to new situations. In contrast, deep neural networks only learn one sophisticated but fixed mapping from inputs…

Computer Vision and Pattern Recognition · Computer Science 2021-03-18 Shixian Wen , Amanda Rios , Yunhao Ge , Laurent Itti

Mechanistic Interpretability aims to reverse engineer the algorithms implemented by neural networks by studying their weights and activations. An obstacle to reverse engineering neural networks is that many of the parameters inside a…

Self-replication is a key aspect of biological life that has been largely overlooked in Artificial Intelligence systems. Here we describe how to build and train self-replicating neural networks. The network replicates itself by learning to…

Artificial Intelligence · Computer Science 2018-05-28 Oscar Chang , Hod Lipson

The human brain is a complex network of interconnected brain regions organized into functional modules with distinct roles in cognition and behavior. An important question concerns the persistence and stability of these modules over the…

Neurons and Cognition · Quantitative Biology 2015-10-28 Richard F. Betzel , Bratislav Mišić , Ye He , Jeffrey Rumschlag , Xi-Nian Zuo , Olaf Sporns

Healthy brain networks usually show highly efficient information communication and self-sustained oscillation abilities. However, how the brain network structure affects these dynamics after an injury (stroke) is not very clear. The…

Physics and Society · Physics 2025-06-12 Yingpeng Liu , Jiao Wu , Kesheng Xu , Muhua Zheng

The time-elapsed model for neural networks is a nonlinear age structured equationwhere the renewal term describes the network activity and influences the dischargerate, possibly with a delay due to the length of connections.We solve a long…

Analysis of PDEs · Mathematics 2025-03-13 Benoît Perthame , Delphine Salort , Clément Rieutord

Neuroscience has focused on the detailed implementation of computation, studying neural codes, dynamics and circuits. In machine learning, however, artificial neural networks tend to eschew precisely designed codes, dynamics or circuits in…

Neurons and Cognition · Quantitative Biology 2020-02-04 Adam Marblestone , Greg Wayne , Konrad Kording

The impact of developmental and aging processes on brain connectivity and the connectome has been widely studied. Network theoretical measures and certain topological principles are computed from the entire brain, however there is a need to…

Neurons and Cognition · Quantitative Biology 2018-09-18 Markus D. Schirmer , Ai Wern Chung

The brain is a complex system comprising a myriad of interacting elements, posing significant challenges in understanding its structure, function, and dynamics. Network science has emerged as a powerful tool for studying such intricate…

Just like power, water, and transportation systems, wireless networks are a crucial societal infrastructure. As natural and human-induced disruptions continue to grow, wireless networks must be resilient. This requires them to withstand and…

Networking and Internet Architecture · Computer Science 2025-07-01 Mehdi Bennis , Sumudu Samarakoon , Tamara Alshammari , Chathuranga Weeraddana , Zhoujun Tian , Chaouki Ben Issaid

The traditional approach to network robustness, is based on comparing network parameters before and after an event of nodes removal, such as the change in network diameter, the change in giant component size and the existence of giant…

Physics and Society · Physics 2018-12-27 Amikam Patron , Reuven Cohen

We implement the dynamical Ising model on the large scale architecture of white matter connections of healthy subjects in the age range 4-85 years, and analyze the dynamics in terms of the synergy, a quantity measuring the extent to which…

Neurons and Cognition · Quantitative Biology 2020-05-15 Davide Nuzzi , Mario Pellicoro , Leonardo Angelini , Daniele Marinazzo , Sebastiano Stramaglia

Advancing our knowledge of how the brain processes information remains a key challenge in neuroscience. This thesis combines three different approaches to the study of the dynamics of neural networks and their encoding representations: a…

Neurons and Cognition · Quantitative Biology 2024-02-21 Guillermo B. Morales

It is a fundamental challenge to understand how the function of a network is related to its structural organization. Adaptive dynamical networks represent a broad class of systems that can change their connectivity over time depending on…

Adaptation and Self-Organizing Systems · Physics 2023-04-13 Rico Berner , Thilo Gross , Christian Kuehn , Jürgen Kurths , Serhiy Yanchuk

Neural circuits are able to perform computations under very diverse conditions and requirements. The required computations impose clear constraints on their fine-tuning: a rapid and maximally informative response to stimuli in general…

Neurons and Cognition · Quantitative Biology 2019-10-22 Jens Wilting , Jonas Dehning , Joao Pinheiro Neto , Lucas Rudelt , Michael Wibral , Johannes Zierenberg , Viola Priesemann