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Traffic networks have been proved to be fractal systems. However, previous studies mainly focused on monofractal networks, while complex systems are of multifractal structure. This paper is devoted to exploring the general regularities of…

Physics and Society · Physics 2022-11-09 Yuqing Long , Yanguang Chen

In this paper, we propose a novel antenna architecture called movable antenna (MA) to improve the performance of wireless communication systems. Different from conventional fixed-position antennas (FPAs) that undergo random wireless channel…

Information Theory · Computer Science 2024-03-26 Lipeng Zhu , Wenyan Ma , Rui Zhang

Multifractal analysis (MFA) provides a framework for the global characterization of image textures by describing the spatial fluctuations of their local regularity based on the multifractal spectrum. Several works have shown the interest of…

Image and Video Processing · Electrical Eng. & Systems 2025-12-15 Kareth M. León-López , Abderrahim Halimi , Jean-Yves Tourneret , Herwig Wendt

Building upon [1], this study aims to introduce fractal geometry into graph theory, and to establish a potential theoretical foundation for complex networks. Specifically, we employ the method of substitution to create and explore…

Dynamical Systems · Mathematics 2024-05-29 Nero Ziyu Li

Solving variational image segmentation problems with hidden physics is often expensive and requires different algorithms and manually tunes model parameter. The deep learning methods based on the U-Net structure have obtained outstanding…

Computer Vision and Pattern Recognition · Computer Science 2022-11-08 Hui Zhu , Shi Shu , Jianping Zhang

Clustering is an essential technique for network analysis, with applications in a diverse range of fields. Although spectral clustering is a popular and effective method, it fails to consider higher-order structure and can perform poorly on…

Social and Information Networks · Computer Science 2020-09-14 William George Underwood , Andrew Elliott , Mihai Cucuringu

In this article we propose feature graph architectures (FGA), which are deep learning systems employing a structured initialisation and training method based on a feature graph which facilitates improved generalisation performance compared…

Machine Learning · Computer Science 2013-12-17 Richard Davis , Sanjay Chawla , Philip Leong

Network meta-analysis (NMA) combines direct and indirect comparisons across a connected treatment network to estimate relative treatment effects. However, there is a lack of exact contribution decompositions that reproduce NMA estimates,…

Methodology · Statistics 2026-04-27 Chong Wang , Yanqi Zhang , Zhezhen Jin , Annette O'Connor

The nonlinearities found in molecular networks usually prevent mathematical analysis of network behaviour, which has largely been studied by numerical simulation. This can lead to difficult problems of parameter determination. However,…

Molecular Networks · Quantitative Biology 2012-07-17 R. L. Karp , M. Pérez Millán , T. Dasgupta , A. Dickenstein , J. Gunawardena

A complex network approach on a rough fracture is developed. In this manner, some hidden metric spaces (similarity measurements) between apertures profiles are set up and a general evolutionary network in two directions (in parallel and…

Adaptation and Self-Organizing Systems · Physics 2009-05-12 H. O. Ghaffari , M. Sharifzadeh , M. Fall , E. Evgin

We have recently introduced Forman's discretization of Ricci curvature to the realm of complex networks. Forman curvature is an edge-based measure whose mathematical definition elegantly encapsulates the weights of nodes and edges in a…

Molecular Networks · Quantitative Biology 2017-06-01 R. P. Sreejith , Jürgen Jost , Emil Saucan , Areejit Samal

Medical images play an important role in clinical applications. Multimodal medical images could provide rich information about patients for physicians to diagnose. The image fusion technique is able to synthesize complementary information…

Computer Vision and Pattern Recognition · Computer Science 2022-12-12 Meng Zhou , Xiaolan Xu , Yuxuan Zhang

In Fixed Wireless Applications (FWA), the Code Division Multiple Access (CDMA) is the most promising candidate for wideband data access. The reason is the soft limit on the number of active mobile devices. Many Fixed Wireless Applications…

Information Theory · Computer Science 2012-12-12 Muhammad Zeeshan , Shoab A Khan , Muhammad Yasir Malik

In complex systems, networks represent connectivity relationships between nodes through edges. Latent space models are crucial in analyzing network data for tasks like community detection and link prediction due to their interpretability…

Methodology · Statistics 2025-05-29 Yan Zhang , Jun Liao , Xinyan Fan , Kuangnan Fang , Yuhong Yang

We have developed different network approaches to analyze complex patterns of frictional interfaces (contact area developments). Network theory is a fundamental tool for the modern understanding of complex systems in which, by a simple…

General Physics · Physics 2012-01-04 H. O. Ghaffari , R. P. Young

The recently developed transformer networks have achieved impressive performance in image denoising by exploiting the self-attention (SA) in images. However, the existing methods mostly use a relatively small window to compute SA due to the…

Computer Vision and Pattern Recognition · Computer Science 2023-02-28 Shi Guo , Hongwei Yong , Xindong Zhang , Jianqi Ma , Lei Zhang

In this paper, we propose a learning approach for sparse code multiple access (SCMA) signal detection by using a deep neural network via unfolding the procedure of message passing algorithm (MPA). The MPA can be converted to a sparsely…

Information Theory · Computer Science 2018-08-27 Chao Lu , Wei Xu , Hong Shen , Hua Zhang , Xiaohu You

Analysis and visualization of an information network can be facilitated better using an appropriate embedding of the network. Network embedding learns a compact low-dimensional vector representation for each node of the network, and uses…

Social and Information Networks · Computer Science 2018-07-05 Sambaran Bandyopadhyay , Harsh Kara , Aswin Kannan , M N Murty

Mass segmentation provides effective morphological features which are important for mass diagnosis. In this work, we propose a novel end-to-end network for mammographic mass segmentation which employs a fully convolutional network (FCN) to…

Computer Vision and Pattern Recognition · Computer Science 2017-12-27 Wentao Zhu , Xiang Xiang , Trac D. Tran , Gregory D. Hager , Xiaohui Xie

This study introduces the concept of finite element network analysis (FENA) which is a physics-informed, machine-learning-based, computational framework for the simulation of complex physical systems. The framework leverages the extreme…

Computational Physics · Physics 2021-02-24 Mehdi Jokar , Fabio Semperlotti