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We present the modification of natural visibility graph (NVG) algorithm used for the mapping of the time series to the complex networks (graphs). We propose the parametric natural visibility graph (PNVG) algorithm. The PNVG consists of NVG…

Data Analysis, Statistics and Probability · Physics 2015-06-11 I. V. Bezsudnov , A. A. Snarskii

Visibility Graph (VG) transforms time series into graphs, facilitating signal processing by advanced graph data mining algorithms. In this paper, based on the classic Limited Penetrable Visibility Graph (LPVG) method, we propose a novel…

Machine Learning · Computer Science 2022-02-16 Qi Xuan , Jinchao Zhou , Kunfeng Qiu , Dongwei Xu , Shilian Zheng , Xiaoniu Yang

Time series and signals are attracting more attention across statistics, machine learning and pattern recognition as it appears widely in the industry especially in sensor and IoT related research and applications, but few advances has been…

Machine Learning · Computer Science 2018-08-15 Lu Liu , Zhiguang Wang

Complex network is not only a powerful tool for the analysis of complex system, but also a promising way to analyze time series. The algorithm of horizontal visibility graph (HVG) maps time series into graphs, whose degree distributions are…

Physics and Society · Physics 2019-02-12 Wen-Jie Xie , Rui-Qi Han , Zhi-Qiang Jiang , Lijian Wei , Wei-Xing Zhou

Recently, the visibility graph has been introduced as a novel view for analyzing time series, which maps it to a complex network. In this paper, we introduce new algorithm of visibility, "cross-visibility", which reveals the conjugation of…

Data Analysis, Statistics and Probability · Physics 2015-06-12 Saeed Mehraban , Amirhossein Shirazi , Maryam Zamani , Gholamreza Jafari

A new alternative method to approximate the Visibility Graph (VG) of a time series has been introduced here. It exploits the fact that most of the nodes in the resulting network are not connected to those that are far away from them. This…

Data Analysis, Statistics and Probability · Physics 2023-11-20 R. Carmona-Cabezas , J. Gomez-Gomez , E. Gutierrez de Rave , F. J. Jimenez-Hornero

In this work we present a simple and fast computational method, the visibility algorithm, that converts a time series into a graph. The constructed graph inherits several properties of the series in its structure. Thereby, periodic series…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Lucas Lacasa , Bartolo Luque , Fernando Ballesteros , Jordi Luque , Juan Carlos Nuno

It is possible to investigate emergence in many real systems using time-ordered data. However, classical time series analysis is usually conditioned by data accuracy and quantity. A modern method is to map time series onto graphs and study…

Biological Physics · Physics 2023-11-22 Juliane T. Moraes , Silvio C. Ferreira

Electromyography (EMG) refers to a biomedical signal indicating neuromuscular activity and muscle morphology. Experts accurately diagnose neuromuscular disorders using this time series. Modern data analysis techniques have recently led to…

Social and Information Networks · Computer Science 2021-08-17 Samaneh Samiei , Nasser Ghadiri , Behnaz Ansari

Visibility algorithms are a family of methods to map time series into networks, with the aim of describing the structure of time series and their underlying dynamical properties in graph-theoretical terms. Here we explore some properties of…

Data Analysis, Statistics and Probability · Physics 2015-10-14 Lucas Lacasa , Ryan Flanagan

In this brief paper, a simple and fast computational method, the Planar Visibility Graph Networks Algorithm was proposed based on the famous Visibility Graph Algorithm, which can fulfill converting two dimensional timeseries into a planar…

Chaotic Dynamics · Physics 2014-11-25 Jie Liu , Qingqing Li

Visibility algorithms transform time series into graphs and encode dynamical information in their topology, paving the way for graph-theoretical time series analysis as well as building a bridge between nonlinear dynamics and network…

Data Analysis, Statistics and Probability · Physics 2016-05-11 Jacopo Iacovacci , Lucas Lacasa

Network motif analysis is a useful tool for the investigation of complex networks. We study the profiles of tetradic motifs in horizontal visibility graphs (HVGs) converted from multifractal binomial measures, fractional Gaussian noises,…

Physics and Society · Physics 2019-02-04 Wen-Jie Xie , Rui-Qi Han , Wei-Xing Zhou

The visibility algorithm has been recently introduced as a mapping between time series and complex networks. This procedure allows to apply methods of complex network theory for characterizing time series. In this work we present the…

Data Analysis, Statistics and Probability · Physics 2010-02-25 Bartolo Luque , Lucas Lacasa , Fernando Ballesteros , Jordi Luque

The visibility graph (VG) algorithm and its variants have been extensively studied in the time series analysis as they transform the time series into the network of nodes and links, enabling to characterize the time series in terms of…

Data Analysis, Statistics and Probability · Physics 2025-08-13 Jeong-Min Lee , Hang-Hyun Jo

The concept of sequential visibility graph motifs -subgraphs appearing with characteristic frequencies in the visibility graphs associated to time series- has been advanced recently along with a theoretical framework to compute analytically…

Data Analysis, Statistics and Probability · Physics 2016-12-21 Jacopo Iacovacci , Lucas Lacasa

This paper proposes a new method for converting a time-series into a weighted graph (complex network), which builds on the electrostatic conceptualization originating from physics. The proposed method conceptualizes a time-series as a…

Data Analysis, Statistics and Probability · Physics 2020-12-04 Dimitrios Tsiotas , Lykourgos Magafas , Panos Argyrakis

An Horizontal Visibility Graph (for short, HVG) is defined in association with an ordered set of non-negative reals. HVGs realize a methodology in the analysis of time series, their degree distribution being a good discriminator between…

Data Analysis, Statistics and Probability · Physics 2013-09-24 Gregory Gutin , Toufik Mansour , Simone Severini

Nonlinear time series analysis is an active field of research that studies the structure of complex signals in order to derive information of the process that generated those series, for understanding, modeling and forecasting purposes. In…

Data Analysis, Statistics and Probability · Physics 2015-05-20 Lucas Lacasa , Raul Toral

The limited penetrable horizontal visibility graph algorithm was recently introduced to map time series in complex networks. We extend this visibility graph and create a directed limited penetrable horizontal visibility graph and an image…

Physics and Society · Physics 2018-05-23 Minggang Wang , Andre L. M. Vilela , Ruijin Du , Longfeng Zhao , Gaogao Dong , Lixin Tian , H. Eugene Stanley
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