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We introduce the concept of time series motifs for time series analysis. Time series motifs consider not only the spatial information of mutual visibility but also the temporal information of relative magnitude between the data points. We…

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

Time series motifs play an important role in the time series analysis. The motif-based time series clustering is used for the discovery of higher-order patterns or structures in time series data. Inspired by the convolutional neural network…

Machine Learning · Computer Science 2020-01-22 Yadong Zhang , Xin Chen

Time-series motifs are representative subsequences that occur frequently in a time series; a motif set is the set of subsequences deemed to be instances of a given motif. We focus on finding motif sets. Our motivation is to detect motif…

Machine Learning · Computer Science 2014-07-15 Anthony Bagnall , Jon Hills , Jason Lines

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

A highly comparative, feature-based approach to time series classification is introduced that uses an extensive database of algorithms to extract thousands of interpretable features from time series. These features are derived from across…

Machine Learning · Computer Science 2017-11-10 Ben D. Fulcher , Nick S. Jones

Investigating the frequency and distribution of small subgraphs with a few nodes/edges, i.e., motifs, is an effective analysis method for static networks. Motif-driven analysis is also useful for temporal networks where the spectrum of…

Social and Information Networks · Computer Science 2021-05-04 Penghang Liu , Valerio Guarrasi , A. Erdem Sarıyüce

We use standard deep neural networks to classify univariate time series generated by discrete and continuous dynamical systems based on their chaotic or non-chaotic behaviour. Our approach to circumvent the lack of precise models for some…

Signal Processing · Electrical Eng. & Systems 2020-02-26 Nicolas Boullé , Vassilios Dallas , Yuji Nakatsukasa , D. Samaddar

Motif discovery is a fundamental step in data mining tasks for time-series data such as clustering, classification and anomaly detection. Even though many papers have addressed the problem of how to find motifs in time-series by proposing…

Machine Learning · Computer Science 2020-04-20 Maria Inês Silva , Roberto Henriques

Motifs are the most repetitive/frequent patterns of a time-series. The discovery of motifs is crucial for practitioners in order to understand and interpret the phenomena occurring in sequential data. Currently, motifs are searched among…

Artificial Intelligence · Computer Science 2015-05-05 Josif Grabocka , Nicolas Schilling , Lars Schmidt-Thieme

Temporal networks are commonly used to represent systems where connections between elements are active only for restricted periods of time, such as networks of telecommunication, neural signal processing, biochemical reactions and human…

Data Analysis, Statistics and Probability · Physics 2011-11-15 Lauri Kovanen , Márton Karsai , Kimmo Kaski , János Kertész , Jari Saramäki

Network classification has a variety of applications, such as detecting communities within networks and finding similarities between those representing different aspects of the real world. However, most existing work in this area focus on…

Social and Information Networks · Computer Science 2018-08-08 Kun Tu , Jian Li , Don Towsley , Dave Braines , Liam D. Turner

Networks are a fundamental tool for modeling complex systems in a variety of domains including social and communication networks as well as biology and neuroscience. Small subgraph patterns in networks, called network motifs, are crucial to…

Social and Information Networks · Computer Science 2018-01-08 Ashwin Paranjape , Austin R. Benson , Jure Leskovec

In the time-series analysis, the time series motifs and the order patterns in time series can reveal general temporal patterns and dynamic features. Triadic Motif Field (TMF) is a simple and effective time-series image encoding method based…

Machine Learning · Computer Science 2020-12-10 Yadong Zhang , Xin Chen

Temporal graphs are structures which model relational data between entities that change over time. Due to the complex structure of data, mining statistically significant temporal subgraphs, also known as temporal motifs, is a challenging…

Social and Information Networks · Computer Science 2021-10-05 Antonio Longa , Giulia Cencetti , Bruno Lepri , Andrea Passerini

Research into time series classification has tended to focus on the case of series of uniform length. However, it is common for real-world time series data to have unequal lengths. Differing time series lengths may arise from a number of…

Machine Learning · Computer Science 2019-10-11 Chang Wei Tan , Francois Petitjean , Eamonn Keogh , Geoffrey I. Webb

Several natural and theoretical networks can be broken down into smaller portions, or subgraphs corresponding to neighborhoods. The more frequent of these neighborhoods can then be understood as motifs of the network, being therefore…

Physics and Society · Physics 2022-04-21 Guilherme S. Domingues , Eric K. Tokuda , Luciano da F. Costa

One fundamental problem in temporal graph analysis is to count the occurrences of small connected subgraph patterns (i.e., motifs), which benefits a broad range of real-world applications, such as anomaly detection, structure prediction,…

Machine Learning · Computer Science 2022-04-21 Zhongqiang Gao , Chuanqi Cheng , Yanwei Yu , Lei Cao , Chao Huang , Junyu Dong

The article considers classification task of fractal time series by the meta algorithms based on decision trees. Binomial multiplicative stochastic cascades are used as input time series. Comparative analysis of the classification…

Networking and Internet Architecture · Computer Science 2019-05-09 Vitalii Bulakh , Lyudmyla Kirichenko , Tamara Radivilova

Time series shapelets are discriminative subsequences and their similarity to a time series can be used for time series classification. Since the discovery of time series shapelets is costly in terms of time, the applicability on long or…

Machine Learning · Computer Science 2015-03-18 Martin Wistuba , Josif Grabocka , Lars Schmidt-Thieme

Recent progress toward classifying low-dimensional chaos measured from time series data is described. This classification theory assigns a template to the time series once the time series is embedded in three dimensions. The template…

chao-dyn · Physics 2008-02-03 Nicholas B. Tufillaro
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