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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

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

Time series forecasting is a hot spot in recent years. Visibility Graph (VG) algorithm is used for time series forecasting in previous research, but the forecasting effect is not as good as deep learning prediction methods such as methods…

Machine Learning · Computer Science 2022-05-17 Tianxiang Zhan , Yuanpeng He , Hanwen Li , Fuyuan Xiao

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

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

The problem of aggregation is considerable importance in many disciplines. In this paper, a new type of operator called visibility graph averaging (VGA) aggregation operator is proposed. This proposed operator is based on the visibility…

Artificial Intelligence · Computer Science 2015-06-17 Shiyu Chen , Yong Hu , Sankaran Mahadevan , Yong Deng

Visibility algorithms are a family of geometric and ordering criteria by which a real-valued time series of N data is mapped into a graph of N nodes. This graph has been shown to often inherit in its topology non-trivial properties of the…

Chaotic Dynamics · Physics 2018-07-04 Lucas Lacasa , Wolfram Just

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

Estimating the time lag between two hydrogeologic time series (e.g. precipitation and water levels in an aquifer) is of significance for a hydrogeologist-modeler. In this paper, we present a method to quantify such lags by adapting the…

Applications · Statistics 2017-02-07 Rahul John , Majnu John

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

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

Graph-based models form a fundamental aspect of data representation in Data Sciences and play a key role in modeling complex networked systems. In particular, recently there is an ever-increasing interest in modeling dynamic complex…

Data Structures and Algorithms · Computer Science 2015-09-18 Klaus Wehmuth , Artur Ziviani , Eric Fleury

The family of image visibility graphs (IVGs) have been recently introduced as simple algorithms by which scalar fields can be mapped into graphs. Here we explore the usefulness of such operator in the scenario of image processing and image…

Data Analysis, Statistics and Probability · Physics 2019-11-19 Jacopo Iacovacci , Lucas Lacasa

Modeling heterogeneous correlated time series requires the ability to learn hidden dynamic relationships between component time series with possibly varying periodicities and generative processes. To address this challenge, we formulate and…

Methodology · Statistics 2025-12-02 Jeshwanth Mohan , Bharath Ramsundar , Sandya Subramanian

Recently, a set of graph-based tools have been introduced for the identification of singular events of O3, NO2 and temperature time series, as well as description of their dynamics. These are based on the use of the Visibility Graphs (VG).…

Atmospheric and Oceanic Physics · Physics 2023-11-21 R. Carmona-Cabezas , J. Gomez-Gomez , E. Gutierrez de Rave , E. Sanchez-Lopez , J. Serrano , F. J. Jimenez-Hornero

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

The family of visibility algorithms were recently introduced as mappings between time series and graphs. Here we extend this method to characterize spatially extended data structures by mapping scalar fields of arbitrary dimension into…

Data Analysis, Statistics and Probability · Physics 2017-09-13 Lucas Lacasa , Jacopo Iacovacci

A simple framework Probabilistic Multi-view Graph Embedding (PMvGE) is proposed for multi-view feature learning with many-to-many associations so that it generalizes various existing multi-view methods. PMvGE is a probabilistic model for…

Machine Learning · Statistics 2018-06-12 Akifumi Okuno , Tetsuya Hada , Hidetoshi Shimodaira

The absence of time-reversal symmetry is a fundamental property of many nonlinear time series. Here, we propose a new set of statistical tests for time series irreversibility based on standard and horizontal visibility graphs. Specifically,…

Data Analysis, Statistics and Probability · Physics 2016-04-07 Jonathan F. Donges , Reik V. Donner , Jürgen Kurths

Pangenome variation graphs (PVGs) allow for the representation of genetic diversity in a more nuanced way than traditional reference-based approaches. Here we focus on how PVGs are a powerful tool for studying genetic variation in viruses,…

Genomics · Quantitative Biology 2025-06-18 Tim Downing