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Time Series Foundation Models (TSFMs) are a powerful paradigm for time series analysis and are often enhanced by synthetic data augmentation to improve the training data quality. Existing augmentation methods, however, typically rely on…

Machine Learning · Computer Science 2026-01-28 Junwei Deng , Chang Xu , Jiaqi W. Ma , Ming Jin , Chenghao Liu , Jiang Bian

Time series data, defined by equally spaced points over time, is essential in fields like medicine, telecommunications, and energy. Analyzing it involves tasks such as classification, clustering, prototyping, and regression. Classification…

Machine Learning · Computer Science 2025-02-27 Ali Ismail-Fawaz

The all-relevant problem of feature selection is the identification of all strongly and weakly relevant attributes. This problem is especially hard to solve for time series classification and regression in industrial applications such as…

Machine Learning · Computer Science 2017-05-23 Maximilian Christ , Andreas W. Kempa-Liehr , Michael Feindt

Time series forecasting is ubiquitous in the modern world. Applications range from health care to astronomy, and include climate modelling, financial trading and monitoring of critical engineering equipment. To offer value over this range…

Machine Learning · Statistics 2018-10-26 Bernardo Pérez Orozco , Gabriele Abbati , Stephen Roberts

Causal discovery for purely observational, categorical data is a long-standing challenging problem. Unlike continuous data, the vast majority of existing methods for categorical data focus on inferring the Markov equivalence class only,…

Methodology · Statistics 2022-12-20 Yang Ni , Bani Mallick

This paper presents a systematic review of Python packages with a focus on time series analysis. The objective is to provide (1) an overview of the different time series analysis tasks and preprocessing methods implemented, and (2) an…

Mathematical Software · Computer Science 2021-06-23 Julien Siebert , Janek Groß , Christof Schroth

Process data refer to data recorded in the log files of computer-based items. These data, represented as timestamped action sequences, keep track of respondents' response processes of solving the items. Process data analysis aims at…

Computation · Statistics 2020-06-11 Xueying Tang , Susu Zhang , Zhi Wang , Jingchen Liu , Zhiliang Ying

This article describes tsmp, an R package that implements the matrix profile concept for time series. The tsmp package is a toolkit that allows all-pairs similarity joins, motif, discords and chains discovery, semantic segmentation, etc.…

Databases · Computer Science 2021-05-19 Francisco Bischoff , Pedro Pereira Rodrigues

Although classical spectral analysis is a natural approach to characterise linear systems, it cannot describe a chaotic dynamics. Here, we propose the ordinal spectrum, a method based on a spectral transformation of symbolic sequences, to…

Data Analysis, Statistics and Probability · Physics 2020-09-08 Mario Chavez , Johann H. Martinez

In this paper, we investigate temporal clusters of extremes defined as subsequent exceedances of high thresholds in a stationary time series. Two meaningful features of these clusters are the probability distribution of the cluster size and…

Statistics Theory · Mathematics 2020-04-08 Marco Oesting , Alexander Schnurr

One of the contemporary challenges in anomaly detection is the ability to detect, and differentiate between, both point and collective anomalies within a data sequence or time series. The anomaly package has been developed to provide users…

Applications · Statistics 2024-01-30 Alex Fisch , Daniel Grose , Idris A. Eckley , Paul Fearnhead , Lawrence Bardwell

In this paper, we consider the problem of extraction of most informative features from time series that are regarded as observed values of stochastic processes satisfying the It{\^{o}} stochastic differential equations with unknown random…

Natural language processing tools have become frequently used in social sciences such as economics, political science, and sociology. Many publications apply topic modeling to elicit latent topics in text corpora and their development over…

General Economics · Economics 2024-04-30 W. Benedikt Schmal

Order is one of the main instruments to measure the relationship between objects in (empirical) data. However, compared to methods that use numerical properties of objects, the amount of ordinal methods developed is rather small. One reason…

Artificial Intelligence · Computer Science 2023-12-29 Gerd Stumme , Dominik Dürrschnabel , Tom Hanika

Univariate time series often take the form of a collection of curves observed sequentially over time. Examples of these include hourly ground-level ozone concentration curves. These curves can be viewed as a time series of functions…

Methodology · Statistics 2019-05-09 Han Lin Shang

Errors are prevalent in time series data, such as GPS trajectories or sensor readings. Existing methods focus more on anomaly detection but not on repairing the detected anomalies. By simply filtering out the dirty data via anomaly…

Databases · Computer Science 2020-03-30 Aoqian Zhang , Shaoxu Song , Jianmin Wang , Philip S. Yu

The presence of smart objects is increasingly widespread and their ecosystem, also known as Internet of Things, is relevant in many different application scenarios. The huge amount of temporally annotated data produced by these smart…

Databases · Computer Science 2022-09-21 Giacomo Chiarot , Claudio Silvestri

Functional time series whose sample elements are recorded sequentially over time are frequently encountered with increasing technology. Recent studies have shown that analyzing and forecasting of functional time series can be performed…

Methodology · Statistics 2020-09-22 Ufuk Beyaztas , Han Lin Shang

Time series analysis is crucial in diverse scenarios. Beyond forecasting, considerable real-world tasks are categorized into classification, imputation, and anomaly detection, underscoring different capabilities termed time series…

Machine Learning · Computer Science 2025-03-03 Haoran Zhang , Yong Liu , Yunzhong Qiu , Haixuan Liu , Zhongyi Pei , Jianmin Wang , Mingsheng Long

Clustering is ubiquitous in data analysis, including analysis of time series. It is inherently subjective: different users may prefer different clusterings for a particular dataset. Semi-supervised clustering addresses this by allowing the…

Machine Learning · Statistics 2018-05-03 Toon Van Craenendonck , Wannes Meert , Sebastijan Dumancic , Hendrik Blockeel