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Understanding the evolution of brain functional networks over time is of great significance for the analysis of cognitive mechanisms and the diagnosis of neurological diseases. Existing methods often have difficulty in capturing the…

Machine Learning · Computer Science 2025-10-30 Tianqi Guo , Liping Chen , Ciyuan Peng , Jingjing Zhou , Jing Ren

The brain can be regarded as a network: a connected system where nodes, or units, represent different specialized regions and links, or connections, represent communication pathways. From a functional perspective communication is coded by…

Neurons and Cognition · Quantitative Biology 2014-09-10 Fabrizio De Vico Fallani , Jonas Richiardi , Mario Chavez , Sophie Achard

The exponential rise in data generation has led to vast, heterogeneous datasets crucial for predictive analytics and decision-making. Ensuring data quality and semantic integrity remains a challenge. This paper presents a brain-inspired…

Machine Learning · Computer Science 2025-03-06 Ashwin Viswanathan Kannan , Johnson P Thomas , Abhimanyu Mukerji

Complex networks are a powerful modeling tool, allowing the study of countless real-world systems. They have been used in very different domains such as computer science, biology, sociology, management, etc. Authors have been trying to…

Social and Information Networks · Computer Science 2014-02-04 Burcu Kantarcı , Vincent Labatut

With the advances in high resolution neuroimaging, there has been a growing interest in the detection of functional brain connectivity. Complex network theory has been proposed as an attractive mathematical representation of functional…

Neural and Evolutionary Computing · Computer Science 2018-09-18 Arash Golibagh Mahyari , Selin Aviyente

Deep kernel learning provides an elegant and principled framework for combining the structural properties of deep learning algorithms with the flexibility of kernel methods. By means of a deep neural network, we learn a parametrized kernel…

Machine Learning · Computer Science 2020-12-14 Prudencio Tossou , Basile Dura , Francois Laviolette , Mario Marchand , Alexandre Lacoste

Among various spatio-temporal prediction tasks, epidemic forecasting plays a critical role in public health management. Recent studies have demonstrated the strong potential of spatio-temporal graph neural networks (STGNNs) in extracting…

Machine Learning · Computer Science 2025-12-30 Yufan Zheng , Wei Jiang , Tong Chen , Alexander Zhou , Nguyen Quoc Viet Hung , Choujun Zhan , Hongzhi Yin

Subject of research is complex networks and network systems. The network system is defined as a complex network in which flows are moved. Classification of flows in the network is carried out on the basis of ordering and continuity. It is…

Physics and Society · Physics 2017-02-13 Olexandr Polishchuk

Predicting the resilience of complex networks, which represents the ability to retain fundamental functionality amidst external perturbations or internal failures, plays a critical role in understanding and improving real-world complex…

Artificial Intelligence · Computer Science 2024-08-20 Chang Liu , Jingtao Ding , Yiwen Song , Yong Li

A diagramatic heat kernel expansion technique is presented. The method is especially well suited to the small-derivative expansion of the heat kernel, but it can also be used to reproduce the results obtained by the approach known as…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Ian G Moss , Wade Naylor

The statistical mechanical approach to complex networks is the dominant paradigm in describing natural and societal complex systems. The study of network properties, and their implications on dynamical processes, mostly focus on locally…

Statistical Mechanics · Physics 2013-06-27 Giovanni Petri , Martina Scolamiero , Irene Donato , Francesco Vaccarino

The organization in brain networks shows highly modular features with weak inter-modular interaction. The topology of the networks involves emergence of modules and sub-modules at different levels of constitution governed by fractal laws.…

Neurons and Cognition · Quantitative Biology 2015-09-22 Soibam Shyamchand Singh , Khundrakpam Budhachandra Singh , Romana Ishrat , B. Indrajit Sharma , R. K. Brojen Singh

We deal with the solution of the forward problem for high-dimensional parabolic PDEs with random feature (projection) neural networks (RFNNs). We first prove that there exists a single-hidden layer neural network with randomized…

Numerical Analysis · Mathematics 2025-11-04 Kyriakos Georgiou , Gianluca Fabiani , Constantinos Siettos , Athanasios N. Yannacopoulos

Many physical and biological systems can be studied using complex network theory, a new statistical physics understanding of graph theory. The recent application of complex network theory to the study of functional brain networks generated…

Neurons and Cognition · Quantitative Biology 2014-06-17 D. Papo , M. Zanin , J. A. Pineda-Pardo , S. Boccaletti , J. M. Buldú

The brain is a paradigmatic example of a complex system as its functionality emerges as a global property of local mesoscopic and microscopic interactions. Complex network theory allows to elicit the functional architecture of the brain in…

Neurons and Cognition · Quantitative Biology 2017-01-18 Rossana Mastrandrea , Andrea Gabrielli , Fabrizio Piras , Gianfranco Spalletta , Guido Caldarelli , Tommaso Gili

Detecting and evaluating regions of brain under various circumstances is one of the most interesting topics in computational neuroscience. However, the majority of the studies on detecting communities of a functional connectivity network of…

Social and Information Networks · Computer Science 2018-06-04 Keivan Hassani Monfared , Kris Vasudevan , Jordan S. Farrell , G. Campbell Teskey

The dynamics of neural networks is often characterized by collective behavior and quasi-synchronous events, where a large fraction of neurons fire in short time intervals, separated by uncorrelated firing activity. These global temporal…

Disordered Systems and Neural Networks · Physics 2014-10-03 Raffaella Burioni , Mario Casartelli , Matteo di Volo , Roberto Livi , Alessandro Vezzani

We design a neural network to extract and process features from absorption images taken of one-dimensional Bose gases in the quasi-condensate regime. Specifically, the network is trained to predict both the temperature of single…

In this paper, we describe a conceptual design methodology to design distributed neural network architectures that can perform efficient inference within sensor networks with communication bandwidth constraints. The different sensor…

Machine Learning · Computer Science 2022-10-17 Thomas Strypsteen , Alexander Bertrand

As one of the main subjects of investigation in data science, network science has been demonstrated a wide range of applications to real-world networks analysis and modeling. For example, the pervasive presence of structural or topological…

Logic in Computer Science · Computer Science 2020-09-28 Felipe S. Abrahão , Klaus Wehmuth , Artur Ziviani