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Related papers: Triadic time series motifs

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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

It is of great significance to identify the characteristics of time series to qualify their similarity. We define six types of triadic time-series motifs and investigate the motif occurrence profiles extracted from logistic map, chaotic…

Physics and Society · Physics 2022-08-23 Wen-Jie Xie , Rui-Qi Han , Wei-Xing Zhou

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

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

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

A time series motif intuitively is a short time series that repeats itself approximately the same within a larger time series. Such motifs often represent concealed structures, such as heart beats in an ECG recording, the riff in a pop…

Machine Learning · Computer Science 2024-04-18 Patrick Schäfer , Ulf Leser

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

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

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

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

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

The mining of pattern subgraphs, known as motifs, is a core task in the field of graph mining. Edges in real-world networks often have timestamps, so there is a need for temporal motif mining. A temporal motif is a richer structure that…

Databases · Computer Science 2025-07-29 Yunjie Pan , Omkar Bhalerao , C. Seshadhri , Nishil Talati

Knowing who follows whom and what patterns they are following are crucial steps to understand collective behaviors (e.g. a group of human, a school of fish, or a stock market). Time series is one of resources that can be used to get insight…

Machine Learning · Computer Science 2025-08-12 Naaek Chinpattanakarn , Chainarong Amornbunchornvej

The detection of very similar patterns in a time series, commonly called motifs, has received continuous and increasing attention from diverse scientific communities. In particular, recent approaches for discovering similar motifs of…

Machine Learning · Computer Science 2016-05-18 Joan Serrà , Isabel Serra , Álvaro Corral , Josep Lluis Arcos

The discovery of time series motifs has emerged as one of the most useful primitives in time series data mining. Researchers have shown its utility for exploratory data mining, summarization, visualization, segmentation, classification,…

Machine Learning · Computer Science 2018-02-16 Yan Zhu , Abdullah Mueen , Eamonn Keogh

Motif counting is a fundamental problem in network analysis, and there is a rich literature of theoretical and applied algorithms for this problem. Given a large input network $G$, a motif $H$ is a small "pattern" graph indicative of…

Databases · Computer Science 2025-07-24 Omkar Bhalerao , Yunjie Pan , C. Seshadhri , Nishil Talati

Time series play a fundamental role in many domains, capturing a plethora of information about the underlying data-generating processes. When a process generates multiple synchronized signals we are faced with multidimensional time series.…

Data Structures and Algorithms · Computer Science 2026-03-20 Matteo Ceccarello , Francesco Pio Monaco , Francesco Silvestri

This work presents an introduction to feature-based time-series analysis. The time series as a data type is first described, along with an overview of the interdisciplinary time-series analysis literature. I then summarize the range of…

Machine Learning · Computer Science 2017-10-03 Ben D. Fulcher

Many time series, particularly health data streams, can be best understood as a sequence of phenomenon or events, which we call \textit{motifs}. A time series motif is a short trace segment which may implicitly capture an underlying…

Machine Learning · Computer Science 2025-05-26 Josephine Lamp , Mark Derdzinski , Christopher Hannemann , Sam Hatfield , Joost van der Linden

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
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