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

Disordered Systems and Neural Networks · Physics 2007-05-23 Luciano da Fontoura Costa , Marconi Soares Barbosa

The human braingraph, or connectome is a description of the connections of the brain: the nodes of the graph correspond to small areas of the gray matter, and two nodes are connected by an edge if a diffusion MRI-based workflow finds fibers…

Neurons and Cognition · Quantitative Biology 2015-07-02 Csaba Kerepesi , Balázs Szalkai , Bálint Varga , Vince Grolmusz

Neural systems show a modular and typically also a hierarchical organisation across different levels and across different species. Topology relates to function, but it is also influences dynamics as earlier studies showed its effect on…

Neurons and Cognition · Quantitative Biology 2014-05-15 Marcus Kaiser

Today, the human brain can be studied as a whole. Electroencephalography, magnetoencephalography, or functional magnetic resonance imaging techniques provide functional connectivity patterns between different brain areas, and during…

Data Analysis, Statistics and Probability · Physics 2011-01-21 Mario Chavez , Miguel Valencia , Vito Latora , Jacques Martinerie

We aimed to explore the capability of deep learning to approximate the function instantiated by biological neural circuits-the functional connectome. Using deep neural networks, we performed supervised learning with firing rate observations…

Neurons and Cognition · Quantitative Biology 2022-11-24 Sihao Liu , Augustine N Mavor-Parker , Caswell Barry

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…

The brain structural connectome is generated by a collection of white matter fiber bundles constructed from diffusion weighted MRI (dMRI), acting as highways for neural activity. There has been abundant interest in studying how the…

Methodology · Statistics 2022-11-03 Didong Li , Phuc Nguyen , Zhengwu Zhang , David B Dunson

Convolutional Neural Networks (CNNs) have been widely applied. But as the CNNs grow, the number of arithmetic operations and memory footprint also increase. Furthermore, typical non-linear activation functions do not allow associativity of…

Machine Learning · Computer Science 2021-11-10 Eduardo Vera Sousa , Leandro A. F. Fernandes , Cristina Nader Vasconcelos

In most natural and engineered systems, a set of entities interact with each other in complicated patterns that can encompass multiple types of relationships, change in time, and include other types of complications. Such systems include…

Physics and Society · Physics 2014-08-28 Mikko Kivelä , Alexandre Arenas , Marc Barthelemy , James P. Gleeson , Yamir Moreno , Mason A. Porter

Modern social networks frequently encompass multiple distinct types of connectivity information; for instance, explicitly acknowledged friend relationships might complement behavioral measures that link users according to their actions or…

Social and Information Networks · Computer Science 2015-06-17 Brandon Oselio , Alex Kulesza , Alfred O. Hero

This work presents an adaptive activation method for neural networks that exploits the interdependency of features. Each pixel, node, and layer is assigned with a polynomial activation function, whose coefficients are provided by an…

Computer Vision and Pattern Recognition · Computer Science 2018-11-22 Jinhyeok Jang , Jaehong Kim , Jaeyeon Lee , Seungjoon Yang

Volumetric brain reconstructions provide an unprecedented opportunity to gain insights into the complex connectivity patterns of neurons in an increasing number of organisms. Here, we model and quantify the complexity of the resulting…

Neurons and Cognition · Quantitative Biology 2024-05-13 Anastasiya Salova , István A. Kovács

The study of dynamic functional connectomes has provided valuable insights into how patterns of brain activity change over time. Neural networks process information through artificial neurons, conceptually inspired by patterns of activation…

Neurons and Cognition · Quantitative Biology 2025-08-12 Yutong Wu , Peilin He , Tananun Songdechakraiwut

Understanding the basic operational logics of the nervous system is essential to advancing neuroscientific research. However, theoretical efforts to tackle this fundamental problem are lacking, despite the abundant empirical data about the…

Neurons and Cognition · Quantitative Biology 2021-09-07 Cheng Qian

Biological neuronal networks are characterized by nonlinear interactions and complex connectivity. Given the growing impetus to build neuromorphic computers, understanding physical devices that exhibit structures and functionalities similar…

Soft Condensed Matter · Physics 2023-08-03 Francesco Caravelli , Gianluca Milano , Carlo Ricciardi , Zdenka Kuncic

Networks are useful for describing systems of interacting objects, where the nodes represent the objects and the edges represent the interactions between them. The applications include chemical and metabolic systems, food webs as well as…

Computational Physics · Physics 2009-10-20 Baruch Barzel , Ofer Biham

We offer a general theoretical framework for brain and behavior that is evolutionarily and computationally plausible. The brain in our abstract model is a network of nodes and edges. Although it has some similarities to standard neural…

Artificial Intelligence · Computer Science 2022-04-12 Joseph Y. Halpern , Arnon Lotem

The wiring of neurons in the brain is more flexible than the wiring of connections in contemporary artificial neural networks. It is possible that this extra flexibility is important for efficient problem solving and learning. This paper…

Machine Learning · Computer Science 2020-06-16 Florian Dietz

A typical complex system should be described by a supernetwork or a network of networks, in which the networks are coupled to some other networks. As the first step to understanding the complex systems on such more systematic level,…

Physics and Society · Physics 2015-05-20 Xiu-Lian Xu , Yan-Qin Qu , Shan Guan , Yu-Mei Jiang , Da-Ren He

Protein-Protein Interaction Networks aim to model the interactome, providing a powerful tool for understanding the complex relationships governing cellular processes. These networks have numerous applications, including functional…

Molecular Networks · Quantitative Biology 2023-10-05 Rodrigo Henrique Ramos , Cynthia de Oliveira Lage Ferreira , Adenilso Simao
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