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We introduce Ordinal Synchronization ($OS$) as a new measure to quantify synchronization between dynamical systems. $OS$ is calculated from the extraction of the ordinal patterns related to two time series, their transformation into…

Quantitative Methods · Quantitative Biology 2019-01-30 Ignacio Echegoyen , Victor Vera-Ávila , Ricardo Sevilla-Escoboza , Johann H. Martínez , Javier M. Buldú

The ordinal patterns of a fixed number of consecutive values in a time series is the spatial ordering of these values. Counting how often a specific ordinal pattern occurs in a time series provides important insights into the properties of…

Statistics Theory · Mathematics 2025-02-06 Annika Betken , Giorgio Micali , Johannes Schmidt-Hieber

Recent advances in technology have brought major breakthroughs in data collection, enabling a large amount of data to be gathered over time and thus generating time series. Mining this data has become an important task for researchers and…

Machine Learning · Computer Science 2020-02-12 Ane Blázquez-García , Angel Conde , Usue Mori , Jose A. Lozano

High-dimensional time series analysis has become increasingly important in fields such as finance, economics, and biology. The two primary tasks for high-dimensional time series analysis are modeling and statistical inference, which aim to…

Computation · Statistics 2024-12-24 Jinyuan Chang , Jing He , Chen Lin , Qiwei Yao

Time Series Classification (TSC) is an extensively researched field from which a broad range of real-world problems can be addressed obtaining excellent results. One sort of the approaches performing well are the so-called dictionary-based…

Machine Learning · Computer Science 2026-04-23 Rafael Ayllón-Gavilán , David Guijo-Rubio , Pedro Antonio Gutiérrez , César Hervás-Martinez

This paper discusses about an R package that implements the Pattern Sequence based Forecasting (PSF) algorithm, which was developed for univariate time series forecasting. This algorithm has been successfully applied to many different…

Machine Learning · Statistics 2020-05-20 Neeraj Bokde , Gualberto Asencio-Cortés , Francisco Martínez-Álvarez , Kishore Kulat

Time series data is used in a wide range of real world applications. In a variety of domains , detailed analysis of time series data (via Forecasting and Anomaly Detection) leads to a better understanding of how events associated with a…

Machine Learning · Computer Science 2022-03-11 Yunus Parvej Faniband , Iskandar Ishak , Sadiq M. Sait

Timeseria is an object-oriented time series processing library implemented in Python, which aims at making it easier to manipulate time series data and to build statistical and machine learning models on top of it. Unlike common data…

Machine Learning · Computer Science 2024-12-31 Stefano Alberto Russo , Giuliano Taffoni , Luca Bortolussi

Inference on time series data is a common requirement in many scientific disciplines and internet of things (IoT) applications, yet there are few resources available to domain scientists to easily, robustly, and repeatably build such…

Mathematical Software · Computer Science 2016-09-16 Brett Naul , Stéfan van der Walt , Arien Crellin-Quick , Joshua S. Bloom , Fernando Pérez

Deep clustering uncovers hidden patterns and groups in complex time series data, yet its opaque decision-making limits use in safety-critical settings. This survey offers a structured overview of explainable deep clustering for time series,…

Machine Learning · Computer Science 2025-10-21 Udo Schlegel , Gabriel Marques Tavares , Thomas Seidl

Missing values in datasets are a well-known problem and there are quite a lot of R packages offering imputation functions. But while imputation in general is well covered within R, it is hard to find functions for imputation of univariate…

Applications · Statistics 2015-10-15 Steffen Moritz , Alexis Sardá , Thomas Bartz-Beielstein , Martin Zaefferer , Jörg Stork

Analyzing time-series cross-sectional (also known as longitudinal or panel) data is an important process across a number of fields, including the social sciences, economics, finance, and medicine. PanelMatch is an R package that implements…

Methodology · Statistics 2025-08-19 Adam Rauh , In Song Kim , Kosuke Imai

Data is essential to performing time series analysis utilizing machine learning approaches, whether for classic models or today's large language models. A good time-series dataset is advantageous for the model's accuracy, robustness, and…

Machine Learning · Computer Science 2024-04-29 Chenxi Sun , Hongyan Li , Yaliang Li , Shenda Hong

Over the last few years, with the growth of time-series collecting and storing, there has been a great demand for tools and software for temporal data engineering and modeling. This paper presents a generic workflow for time series data…

Computational Engineering, Finance, and Science · Computer Science 2023-10-24 Pejman Farhadi Ghalati , Andreas Schuppert

In this paper, we present the FATS (Feature Analysis for Time Series) library. FATS is a Python library which facilitates and standardizes feature extraction for time series data. In particular, we focus on one application: feature…

Instrumentation and Methods for Astrophysics · Physics 2015-09-02 Isadora Nun , Pavlos Protopapas , Brandon Sim , Ming Zhu , Rahul Dave , Nicolas Castro , Karim Pichara

Clustering of longitudinal data is used to explore common trends among subjects over time for a numeric measurement of interest. Various R packages have been introduced throughout the years for identifying clusters of longitudinal patterns,…

Machine Learning · Computer Science 2024-02-23 Niek Den Teuling , Steffen Pauws , Edwin van den Heuvel

The multivariate Bayesian structural time series (MBSTS) model is a general machine learning model that deals with inference and prediction for multiple correlated time series, where one also has the choice of using a different candidate…

Methodology · Statistics 2023-02-07 Ning Ning , Jinwen Qiu

Ordinal data analysis is an interesting direction in machine learning. It mainly deals with data for which only the relationships `$<$', `$=$', `$>$' between pairs of points are known. We do an attempt of formalizing structures behind…

General Topology · Mathematics 2024-12-24 Karsten Keller , Evgeniy Petrov

Quantile-based approaches to the spectral analysis of time series have recently attracted a lot of attention. Despite a growing literature that contains various estimation proposals, no systematic methods for computing the new estimators…

Computation · Statistics 2014-08-29 Tobias Kley

In this work a robust clustering algorithm for stationary time series is proposed. The algorithm is based on the use of estimated spectral densities, which are considered as functional data, as the basic characteristic of stationary time…