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There are a number of situations in which several signals are simultaneously recorded in complex systems, which exhibit long-term power-law cross-correlations. The multifractal detrended cross-correlation analysis (MF-DCCA) approaches can…

Statistical Finance · Quantitative Finance 2015-03-19 Zhi-Qiang Jiang , Wei-Xing Zhou

We propose a novel algorithm - Multifractal Cross-Correlation Analysis (MFCCA) - that constitutes a consistent extension of the Detrended Cross-Correlation Analysis (DCCA) and is able to properly identify and quantify subtle characteristics…

Data Analysis, Statistics and Probability · Physics 2014-02-25 Paweł Oświȩcimka , Stanisław Drożdż , Marcin Forczek , Stanisław Jadach , Jarosław Kwapień

Recent demands on data privacy have called for federated learning (FL) as a new distributed learning paradigm in massive and heterogeneous networks. Although many FL algorithms have been proposed, few of them have considered the matrix…

Machine Learning · Computer Science 2020-11-02 Shuai Wang , Tsung-Hui Chang

Many dynamic processes such as telecommunication and transport networks can be described through discrete time series of graphs. Modelling the dynamics of such time series enables prediction of graph structure at future time steps, which…

Machine Learning · Computer Science 2026-02-10 Sevvandi Kandanaarachchi , Ziqi Xu , Stefan Westerlund , Conrad Sanderson

This paper studies the affine frequency division multiplexing (AFDM)-empowered sparse code multiple access (SCMA) system, referred to as AFDM-SCMA, for supporting massive connectivity in high-mobility environments. First, by placing the…

Information Theory · Computer Science 2024-06-12 Qu Luo , Pei Xiao , Zilong Liu , Ziwei Wan , Thomos Nikolaos , Zhen Gao , Ziming He

Projections of bipartite or two-mode networks capture co-occurrences, and are used in diverse fields (e.g., ecology, economics, bibliometrics, politics) to represent unipartite networks. A key challenge in analyzing such networks is…

Social and Information Networks · Computer Science 2022-02-22 Zachary P. Neal , Rachel Domagalski , Bruce Sagan

Foundation Models (FMs) have revolutionized machine learning with their adaptability and high performance across tasks; yet, their integration into Federated Learning (FL) is challenging due to substantial communication overhead from their…

Machine Learning · Computer Science 2023-11-30 Vasileios Tsouvalas , Yuki Asano , Aaqib Saeed

We develop a method for the multifractal characterization of nonstationary time series, which is based on a generalization of the detrended fluctuation analysis (DFA). We relate our multifractal DFA method to the standard partition…

Data Analysis, Statistics and Probability · Physics 2009-11-07 Jan W. Kantelhardt , Stephan A. Zschiegner , Eva Koscielny-Bunde , Armin Bunde , Shlomo Havlin , H. Eugene Stanley

Component network meta-analysis (CNMA) models are an extension of standard network meta-analysis (NMA) models which account for the use of multicomponent treatments in the network. This article contributes innovatively to several…

Methodology · Statistics 2025-07-23 Augustine Wigle , Audrey Béliveau

Neural functional networks (NFNs) have recently gained significant attention due to their diverse applications, ranging from predicting network generalization and network editing to classifying implicit neural representation. Previous NFN…

Machine Learning · Computer Science 2025-03-14 Viet-Hoang Tran , Thieu N. Vo , Tho H. Tran , An T. Nguyen , Tan M. Nguyen

We propose a general model of unweighted and undirected networks having the scale-free property and fractal nature. Unlike the existing models of fractal scale-free networks (FSFNs), the present model can systematically and widely change…

Physics and Society · Physics 2022-05-04 Kousuke Yakubo , Yuka Fujiki

Multifractal analysis is a forecasting technique used to study the scaling regularity properties of financial returns, to analyze the long-term memory and predictability of financial markets. In this paper, we propose a novel structural…

Statistical Finance · Quantitative Finance 2023-04-18 Foued Saâdaoui

There is a great need for improved statistical sampling in a range of physical, chemical and biological systems. Even simulations based on correct algorithms suffer from statistical error, which can be substantial or even dominant when slow…

Computational Physics · Physics 2007-11-09 F. Marty Ytreberg , Daniel M. Zuckerman

Complex networks have acquired a great popularity in recent years, since the graph representation of many natural, social and technological systems is often very helpful to characterize and model their phenomenology. Additionally, the…

Physics and Society · Physics 2009-02-06 Filippo Radicchi , Alain Barrat , Santo Fortunato , Jose J. Ramasco

We have performed a detailed analysis of the fast multipole method (FMM) in the adaptive case, in which the depth of the FMM tree is non-uniform. Previous works in this area have focused mostly on special types of adaptive distributions,…

Numerical Analysis · Mathematics 2015-08-12 Hadi Pouransari , Eric Darve

Previous industrial anomaly detection methods often struggle to handle the extensive diversity in training sets, particularly when they contain stylistically diverse and feature-rich samples, which we categorize as feature-rich anomaly…

Computer Vision and Pattern Recognition · Computer Science 2025-06-16 Fengjie Wang , Chengming Liu , Lei Shi , Pang Haibo

Complex networks provide a powerful mathematical representation of complex systems in nature and society. To understand complex networks, it is crucial to explore their internal structures, also called structural regularities. The task of…

Social and Information Networks · Computer Science 2015-12-02 Yi Chen , Xiao-long Wang , Xin Xiang , Bu-zhou Tang , Qing-cai Chen , Bo Yuan , Jun-zhao Bu

Probability density models based on deep networks have achieved remarkable success in modeling complex high-dimensional datasets. However, unlike kernel density estimators, modern neural models do not yield marginals or conditionals in…

Machine Learning · Statistics 2021-06-10 Dar Gilboa , Ari Pakman , Thibault Vatter

In recent work we presented a new approach to the analysis of weighted networks, by providing a straightforward generalization of any network measure defined on unweighted networks. This approach is based on the translation of a weighted…

Data Analysis, Statistics and Probability · Physics 2008-06-05 S. E. Ahnert , D. Garlaschelli , T. M. A. Fink , G. Caldarelli

Despite excellent progress has been made, the performance of deep learning based algorithms still heavily rely on specific datasets, which are difficult to extend due to labor-intensive labeling. Moreover, because of the advancement of new…

Computer Vision and Pattern Recognition · Computer Science 2021-04-20 Zhen Wei , Bingkun Liu , Weinong Wang , Yu-Wing Tai