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In this paper, we consider networks of deterministic spiking neurons, firing synchronously at discrete times; such spiking neural networks are inspired by networks of neurons and synapses that occur in brains. We consider the problem of…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-17 Nancy Lynch , Mien Brabeeba Wang

Synchronization underlies phenomena including memory and perception in the brain, coordinated motion of animal flocks, and stability of the power grid. These synchronization phenomena are often modeled through networks of phase-coupled…

Systems and Control · Computer Science 2015-11-02 Andrew Clark , Basel Alomair , Linda Bushnell , Radha Poovendran

While statistical analysis of a single network has received a lot of attention in recent years, with a focus on social networks, analysis of a sample of networks presents its own challenges which require a different set of analytic tools.…

Methodology · Statistics 2019-10-23 Jesús D. Arroyo-Relión , Daniel Kessler , Elizaveta Levina , Stephan F. Taylor

Transient or partial synchronization can be used to do computations, although a fully synchronized network is frequently related to epileptic seizures. Here, we propose a homeostatic mechanism that is capable of maintaining a neuronal…

Adaptation and Self-Organizing Systems · Physics 2024-05-21 Sue L. Rhâmidda , Mauricio Girardi-Schappo , Osame Kinouchi

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

The brain can be considered as a system that dynamically optimizes the structure of anatomical connections based on the efficiency requirements of functional connectivity. To illustrate the power of this principle in organizing the…

Neurons and Cognition · Quantitative Biology 2024-02-07 Carlos Calvo Tapia , Valeriy A. Makarov Slizneva , Cees van Leeuwen

We introduce a new supervised learning algorithm based to train spiking neural networks for classification. The algorithm overcomes a limitation of existing multi-spike learning methods: it solves the problem of interference between…

Neural and Evolutionary Computing · Computer Science 2021-08-12 Huy Le Nguyen , Dominique Chu

While neural networks are used for classification tasks across domains, a long-standing open problem in machine learning is determining whether neural networks trained using standard procedures are optimal for classification, i.e., whether…

Machine Learning · Computer Science 2023-05-03 Adityanarayanan Radhakrishnan , Mikhail Belkin , Caroline Uhler

Campaigners, advertisers and activists are increasingly turning to social recommendation mechanisms, provided by social media, for promoting their products, services, brands and even ideas. However, many times, such social network based…

Social and Information Networks · Computer Science 2016-06-17 Bhushan Kotnis , Albert Sunny , Joy Kuri

Despite being optimized, the information processing of biological organisms exhibits significant variability in its complexity and capability. One potential source of this diversity is the limitation of resources required for information…

Biological Physics · Physics 2025-10-21 Takehiro Tottori , Tetsuya J. Kobayashi

Cellular neural circuit and networks consisting of interconnected neurons and glia are ulti- mately responsible for the information processing associated with information processing in the brain. While there are major efforts aimed at…

Neurons and Cognition · Quantitative Biology 2015-05-18 Marius Buibas , Gabriel A. Silva

For constructing neuronal network models computational neuroscientists have access to wide-ranging anatomical data that nevertheless tend to cover only a fraction of the parameters to be determined. Finding and interpreting the most…

How perception and reasoning arise from neuronal network activity is poorly understood. This is reflected in the fundamental limitations of connectionist artificial intelligence, typified by deep neural networks trained via gradient-based…

Artificial Intelligence · Computer Science 2020-02-27 Paul J. Blazek , Milo M. Lin

We address the problem of influence maximization when the social network is accompanied by diffusion cascades. In prior works, such information is used to compute influence probabilities, which is utilized by stochastic diffusion models in…

Social and Information Networks · Computer Science 2020-11-23 George Panagopoulos , Fragkiskos D. Malliaros , Michalis Vazirgiannis

Because of its wide application, critical nodes identification has become an important research topic at the micro level of network science. Influence maximization is one of the main problems in critical nodes mining and is usually handled…

Social and Information Networks · Computer Science 2022-01-21 Enyu Yu , Duanbing Chen , Yan Fu , Yuanyuan Xu

Brain decoding is a hot spot in cognitive science, which focuses on reconstructing perceptual images from brain activities. Analyzing the correlations of collected data from human brain activities and representing activity patterns are two…

Computer Vision and Pattern Recognition · Computer Science 2017-12-06 Siyu Yu , Nanning Zheng , Yongqiang Ma , Hao Wu , Badong Chen

A biological neural network is constituted by numerous subnetworks and modules with different functionalities. For an artificial neural network, the relationship between a network and its subnetworks is also important and useful for both…

Machine Learning · Computer Science 2016-11-01 Enmei Tu , Guanghao Zhang , Lily Rachmawati , Eshan Rajabally , Guang-Bin Huang

When and why can a neural network be successfully trained? This article provides an overview of optimization algorithms and theory for training neural networks. First, we discuss the issue of gradient explosion/vanishing and the more…

Machine Learning · Computer Science 2019-12-21 Ruoyu Sun

A candidate explanation of the good empirical performance of deep neural networks is the implicit regularization effect of first order optimization methods. Inspired by this, we prove a convergence theorem for nonconvex composite…

Machine Learning · Computer Science 2023-02-14 Dávid Terjék , Diego González-Sánchez

There is growing interest in understanding how the structural interconnections among brain regions change with the occurrence of neurological diseases. Diffusion weighted MRI imaging has allowed researchers to non-invasively estimate a…

Applications · Statistics 2015-10-20 Daniele Durante , Madelaine Daianu , Neda Jahanshad , Paul M. Thompson , David B. Dunson