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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

Using a time series model to mimic an observed time series has a long history. However, with regard to this objective, conventional estimation methods for discrete-time dynamical models are frequently found to be wanting. In fact, they are…

Statistics Theory · Mathematics 2015-03-19 Yingcun Xia , Howell Tong

We consider the limitations of two techniques for detecting nonlinearity in time series. The first technique compares the original time series to an ensemble of surrogate time series that are constructed to mimic the linear properties of…

comp-gas · Physics 2008-02-03 James Theiler , Paul S. Linsay , David M. Rubin

Subsequence-based time series classification algorithms provide accurate and interpretable models, but training these models is extremely computation intensive. The asymptotic time complexity of subsequence-based algorithms remains a…

Machine Learning · Computer Science 2021-02-18 Atif Raza , Stefan Kramer

Temporal networks have been increasingly used to model a diversity of systems that evolve in time; for example human contact structures over which dynamic processes such as epidemics take place. A fundamental aspect of real-life networks is…

Physics and Society · Physics 2017-11-08 Luis E C Rocha , Naoki Masuda , Petter Holme

This paper investigates different methods and various neural network architectures applicable in the time series classification domain. The data is obtained from a fleet of gas sensors that measure and track quantities such as oxygen and…

Machine Learning · Computer Science 2023-07-06 Mohamed Abouelnaga , Julien Vitay , Aida Farahani

Measuring the statistical dependence between observed signals is a primary tool for scientific discovery. However, biological systems often exhibit complex non-linear interactions that currently cannot be captured without a priori knowledge…

Time Series Classification (TSC) has drawn a lot of attention in literature because of its broad range of applications for different domains, such as medical data mining, weather forecasting. Although TSC algorithms are designed for…

Machine Learning · Computer Science 2021-10-12 Syed Rawshon Jamil

Time series analysis has become crucial in various fields, from engineering and finance to healthcare and social sciences. Due to their multidimensional nature, time series often need to be embedded into a fixed-dimensional feature space to…

Machine Learning · Computer Science 2025-05-27 Habib Irani , Yasamin Ghahremani , Arshia Kermani , Vangelis Metsis

We study the use of a time series encoder to learn representations that are useful on data set types with which it has not been trained on. The encoder is formed of a convolutional neural network whose temporal output is summarized by a…

Machine Learning · Computer Science 2018-05-11 Joan Serrà , Santiago Pascual , Alexandros Karatzoglou

Study of time series data often involves measuring the strength of temporal dependence, on which statistical properties like consistency and central limit theorem are built. Historically, various dependence measures have been proposed. In…

Statistics Theory · Mathematics 2019-07-16 Fang Han , Weibiao Wu

In this work, we introduce metrics to evaluate the use of simplified time series in the context of interpretability of a TSC -- a Time Series Classifier. Such simplifications are important because time series data, in contrast to text and…

Machine Learning · Computer Science 2025-11-04 Brigt Håvardstun , Felix Marti-Perez , Cèsar Ferri , Jan Arne Telle

The continued digitization of societal processes translates into a proliferation of time series data that cover applications such as fraud detection, intrusion detection, and energy management, where anomaly detection is often essential to…

There is nowadays a constant flux of data being generated and collected in all types of real world systems. These data sets are often indexed by time, space or both requiring appropriate approaches to analyze the data. In univariate…

Social and Information Networks · Computer Science 2021-10-20 Vanessa Freitas Silva , Maria Eduarda Silva , Pedro Ribeiro , Fernando Silva

Many approaches have been proposed for early classification of time series in light of its significance in a wide range of applications including healthcare, transportation and finance. However, recently a preprint saved on Arxiv claim that…

Machine Learning · Computer Science 2021-05-03 Youssef Achenchabe , Alexis Bondu , Antoine Cornuéjols , Vincent Lemaire

In many situations, the measurements of a studied phenomenon are provided sequentially, and the prediction of its class needs to be made as early as possible so as not to incur too high a time penalty, but not too early and risk paying the…

Machine Learning · Computer Science 2025-11-18 Aurélien Renault , Alexis Bondu , Antoine Cornuéjols , Vincent Lemaire

Time series data are often obtained only within a limited time range due to interruptions during observation process. To classify such partial time series, we need to account for 1) the variable-length data drawn from 2) different…

Machine Learning · Computer Science 2022-07-14 Azusa Sawada , Taiki Miyagawa , Akinori F. Ebihara , Shoji Yachida , Toshinori Hosoi

Time series shapelets are discriminative sub-sequences and their similarity to time series can be used for time series classification. Initial shapelet extraction algorithms searched shapelets by complete enumeration of all possible data…

Machine Learning · Computer Science 2017-11-03 Dripta S. Raychaudhuri , Josif Grabocka , Lars Schmidt-Thieme

Many time series classification tasks, where labels vary over time, are affected by label noise that also varies over time. Such noise can cause label quality to improve, worsen, or periodically change over time. We first propose and…

Machine Learning · Computer Science 2025-03-18 Sujay Nagaraj , Walter Gerych , Sana Tonekaboni , Anna Goldenberg , Berk Ustun , Thomas Hartvigsen

Transformers have achieved superior performances in many tasks in natural language processing and computer vision, which also triggered great interest in the time series community. Among multiple advantages of Transformers, the ability to…

Machine Learning · Computer Science 2023-05-15 Qingsong Wen , Tian Zhou , Chaoli Zhang , Weiqi Chen , Ziqing Ma , Junchi Yan , Liang Sun