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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

Visibility graph (VG) transformation is a technique used to convert a time series into a graph based on specific visibility criteria. It has attracted increasing interest in the fields of time series analysis, forecasting, and…

Data Structures and Algorithms · Computer Science 2023-11-22 Yusheng Huang , Yong Deng

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

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

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

The horizontal visibility algorithm has been recently introduced as a mapping between time series and networks. The challenge lies in characterizing the structure of time series (and the processes that generated those series) using the…

Data Analysis, Statistics and Probability · Physics 2016-12-21 Angel M. Núñez , Lucas Lacasa , Eusebio Valero , Jose Patricio Gómez , Bartolo Luque

This paper derives practical algorithms, based on Bayesian inference methods, for several data analysis problems common in time series analysis of astronomical and other data. One problem is the determination of the lag between two time…

Numerical Analysis · Mathematics 2025-10-20 Jeffrey D. Scargle

A visibility algorithm maps time series into complex networks following a simple criterion. The resulting visibility graph has recently proven to be a powerful tool for time series analysis. However its straightforward computation is…

Data Structures and Algorithms · Computer Science 2020-04-29 Delia Fano Yela , Florian Thalmann , Vincenzo Nicosia , Dan Stowell , Mark Sandler

Streamflow is a dynamical process that integrates water movement in space and time within basin boundaries. The authors characterize the dynamics associated with streamflow time series data from about seventy-one U.S. Geological Survey…

Physics and Society · Physics 2021-04-14 Ganesh R. Ghimire , Navid Jadidoleslam , Witold F. Krajewski , Anastasios A. Tsonis

Multivariate time series analysis is a vital but challenging task, with multidisciplinary applicability, tackling the characterization of multiple interconnected variables over time and their dependencies. Traditional methodologies often…

Social and Information Networks · Computer Science 2026-02-03 Vanessa Freitas Silva , Maria Eduarda Silva , Pedro Ribeiro , Fernando Silva

Time series has attracted a lot of attention in many fields today. Time series forecasting algorithm based on complex network analysis is a research hotspot. How to use time series information to achieve more accurate forecasting is a…

Social and Information Networks · Computer Science 2022-08-23 Tianxiang Zhan , Fuyuan Xiao

The spatio-temporal features of the velocity field of a fully-developed turbulent channel flow are investigated through the natural visibility graph (NVG) method, which is able to fully map the intrinsic structure of the time-series into…

Fluid Dynamics · Physics 2017-11-13 Giovanni Iacobello , Stefania Scarsoglio , Luca Ridolfi

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

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

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

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

Our digital world is full of time series and graphs which capture the various aspects of many complex systems. Traditionally, there are respective methods in processing these two different types of data, e.g., Recurrent Neural Network (RNN)…

Machine Learning · Computer Science 2021-06-17 Qi Xuan , Kunfeng Qiu , Jinchao Zhou , Zhuangzhi Chen , Dongwei Xu , Shilian Zheng , Xiaoniu Yang

Calibration of hydrological time-series models is a challenging task since these models give a wide spectrum of output series and calibration procedures require significant amount of time. From a statistical standpoint, this model parameter…

Applications · Statistics 2019-03-26 Natalia V. Bhattacharjee , Pritam Ranjan , Abhyuday Mandal , Ernest W. Tollner

This paper discusses several modern approaches to regression analysis involving time series data where some of the predictor variables are also indexed by time. We discuss classical statistical approaches as well as methods that have been…

Methodology · Statistics 2020-11-02 Stephanie Clark , Rob J Hyndman , Dan Pagendam , Louise M Ryan

In order to extract correlation information inherited in stochastic time series, the visibility graph algorithm has been recently proposed, by which a time series can be mapped onto a complex network. We demonstrate that the visibility…

Data Analysis, Statistics and Probability · Physics 2016-05-24 Pouya Manshour
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