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Resampling methods such as the bootstrap have proven invaluable in the field of machine learning. However, the applicability of traditional bootstrap methods is limited when dealing with large streams of dependent data, such as time series…

Machine Learning · Statistics 2024-02-28 Nicolai Palm , Thomas Nagler

In contemporary data-driven environments, the generation and processing of multivariate time series data is an omnipresent challenge, often complicated by time delays between different time series. These delays, originating from a multitude…

Machine Learning · Computer Science 2024-08-26 Jiajie Wang , Zhiyuan Jerry Lin , Wen Chen

Learning causal graphs from multivariate time series is a ubiquitous challenge in all application domains dealing with time-dependent systems, such as in Earth sciences, biology, or engineering, to name a few. Recent developments for this…

Methodology · Statistics 2024-07-02 Kevin Debeire , Jakob Runge , Andreas Gerhardus , Veronika Eyring

This research introduces a novel approach to resampling periodically correlated (PC) time series using bandpass filters for frequency separation called the Variable Bandpass Periodic Block Bootstrap (VBPBB) and then examines the significant…

Methodology · Statistics 2025-07-10 Edward Valachovic

This article studies bootstrap inference for high dimensional weakly dependent time series in a general framework of approximately linear statistics. The following high dimensional applications are covered: (1) uniform confidence band for…

Statistics Theory · Mathematics 2014-08-12 Xianyang Zhang , Guang Cheng

While current time series research focuses on developing new models, crucial questions of selecting an optimal approach for training such models are underexplored. Tsururu, a Python library introduced in this paper, bridges SoTA research…

Machine Learning · Computer Science 2025-09-22 Alina Kostromina , Kseniia Kuvshinova , Aleksandr Yugay , Andrey Savchenko , Dmitry Simakov

Correlated time series analysis plays an important role in many real-world industries. Learning an efficient representation of this large-scale data for further downstream tasks is necessary but challenging. In this paper, we propose a…

Machine Learning · Computer Science 2023-06-21 Luxuan Wang , Lei Bai , Ziyue Li , Rui Zhao , Fugee Tsung

This paper proposes a new AR-sieve bootstrap approach to high-dimensional time series. The major challenge of classical bootstrap methods on high-dimensional time series is two-fold: curse of dimensionality and temporal dependence. To…

Methodology · Statistics 2026-03-24 Daning Bi , Han Lin Shang , Yanrong Yang , Huanjun Zhu

This technical note presents a new approach to carrying out the kind of exploration achieved by Thompson sampling, but without explicitly maintaining or sampling from posterior distributions. The approach is based on a bootstrap technique…

Machine Learning · Statistics 2015-07-02 Ian Osband , Benjamin Van Roy

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

The bootstrap procedure has emerged as a general framework to construct prediction intervals for future observations in autoregressive time series models. Such models with outlying data points are standard in real data applications,…

Methodology · Statistics 2020-11-17 Ufuk Beyaztas , Han Lin Shang

Missing data is a pervasive issue in statistical analyses, affecting the reliability and validity of research across diverse scientific disciplines. Failure to adequately address missing data can lead to biased estimates and consequently…

Methodology · Statistics 2025-05-06 Asmaa Ahmad , Eric J Rose , Michael Roy , Edward Valachovic

Time series foundation models (TSFMs) such as Lag-Llama, TimeGPT, Chronos, MOMENT, UniTS, and TimesFM have shown strong generalization and zero-shot capabilities for time series forecasting, anomaly detection, classification, and…

Machine Learning · Computer Science 2025-08-26 Dhruv D. Modi , Rong Pan

Time series analysis is crucial for understanding dynamics of complex systems. Recent advances in foundation models have led to task-agnostic Time Series Foundation Models (TSFMs) and Large Language Model-based Time Series Models (TSLLMs),…

Machine Learning · Computer Science 2025-03-17 Xu Liu , Taha Aksu , Juncheng Liu , Qingsong Wen , Yuxuan Liang , Caiming Xiong , Silvio Savarese , Doyen Sahoo , Junnan Li , Chenghao Liu

Event detection in time series data is crucial in various domains, including finance, healthcare, cybersecurity, and science. Accurately identifying events in time series data is vital for making informed decisions, detecting anomalies, and…

Machine Learning · Computer Science 2023-12-19 Menouar Azib , Benjamin Renard , Philippe Garnier , Vincent Génot , Nicolas André

Time series processing and feature extraction are crucial and time-intensive steps in conventional machine learning pipelines. Existing packages are limited in their applicability, as they cannot cope with irregularly-sampled or…

Machine Learning · Computer Science 2021-12-23 Jonas Van Der Donckt , Jeroen Van Der Donckt , Emiel Deprost , Sofie Van Hoecke

Evaluating time series attribution methods is difficult because real-world datasets rarely provide ground truth for which time points drive a prediction. A common workaround is to generate synthetic data where class-discriminating features…

Machine Learning · Computer Science 2026-03-10 Gregor Baer

Existing frequency domain methods for bootstrapping time series have a limited range. Consider for instance the class of spectral mean statistics (also called integrated periodograms) which includes many important statistics in time series…

Methodology · Statistics 2018-06-19 Marco Meyer , Efstathios Paparoditis , Jens-Peter Kreiss

A new time series bootstrap scheme, the time frequency toggle (TFT)-bootstrap, is proposed. Its basic idea is to bootstrap the Fourier coefficients of the observed time series, and then to back-transform them to obtain a bootstrap sample in…

Statistics Theory · Mathematics 2012-11-21 Claudia Kirch , Dimitris N. Politis

Data cleaning is a crucial part of every data analysis exercise. Yet, the currently available R packages do not provide fast and robust methods for cleaning and preparation of time series data. The open source package tsrobprep introduces…

Machine Learning · Statistics 2021-10-12 Michał Narajewski , Jens Kley-Holsteg , Florian Ziel
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