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Multivariate time series present challenges to standard machine learning techniques, as they are often unlabeled, high dimensional, noisy, and contain missing data. To address this, we propose T-Rep, a self-supervised method to learn time…

Machine Learning · Computer Science 2024-05-10 Archibald Fraikin , Adrien Bennetot , Stéphanie Allassonnière

Despite the growing attention to time series forecasting in recent years, many studies have proposed various solutions to address the challenges encountered in time series prediction, aiming to improve forecasting performance. However,…

Machine Learning · Computer Science 2025-06-12 Yanlong Wang , Jian Xu , Tiantian Gao , Hongkang Zhang , Shao-Lun Huang , Danny Dongning Sun , Xiao-Ping Zhang

The combination of convolutional and recurrent neural networks is a promising framework that allows the extraction of high-quality spatio-temporal features together with its temporal dependencies, which is key for time series prediction…

It can be argued that optimal prediction should take into account all available data. Therefore, to evaluate a prediction interval's performance one should employ conditional coverage probability, conditioning on all available observations.…

Statistics Theory · Mathematics 2021-03-02 Yunyi Zhang , Dimitris N. Politis

Time-Series (TS) exhibits pronounced non-stationarity. Consequently, most forecasting methods display compromised robustness to concept drift, despite the prevalent application of instance normalization. We tackle this challenge by first…

Machine Learning · Computer Science 2026-01-29 Daojun Liang , Jing Chen , Xiao Wang , Yinglong Wang , Shuo Li

Time series prediction has been a long-standing research topic and an essential application in many domains. Modern time series collected from sensor networks (e.g., energy consumption and traffic flow) are often large-scale and incomplete…

Machine Learning · Statistics 2020-06-19 Xinyu Chen , Lijun Sun

We develop and implement a novel fast bootstrap for dependent data. Our scheme is based on the i.i.d. resampling of the smoothed moment indicators. We characterize the class of parametric and semi-parametric estimation problems for which…

Methodology · Statistics 2022-01-19 Davide La Vecchia , Alban Moor , Olivier Scaillet

With the increasing application of deep learning algorithms to time series classification, especially in high-stake scenarios, the relevance of interpreting those algorithms becomes key. Although research in time series interpretability has…

Machine Learning · Computer Science 2022-08-16 Jacqueline Höllig , Cedric Kulbach , Steffen Thoma

Nonlinear time series analysis is becoming a more and more reliable tool for the study of complicated dynamics from measurements. The concept of low-dimensional chaos has proven to be fruitful in the understanding of many complex phenomena…

chao-dyn · Physics 2009-10-31 Rainer Hegger , Holger Kantz , Thomas Schreiber

Bootstrap for nonlinear statistics like U-statistics of dependent data has been studied by several authors. This is typically done by producing a bootstrap version of the sample and plugging it into the statistic. We suggest an alternative…

Statistics Theory · Mathematics 2015-05-28 Olimjon Sh. Sharipov , Johannes Tewes , Martin Wendler

Missing values are ubiquitous in multivariate time series (MTS) data, posing significant challenges for accurate analysis and downstream applications. In recent years, deep learning-based methods have successfully handled missing data by…

Machine Learning · Computer Science 2025-05-21 Jun Wang , Wenjie Du , Yiyuan Yang , Linglong Qian , Wei Cao , Keli Zhang , Wenjia Wang , Yuxuan Liang , Qingsong Wen

Forecasting time series with irregular temporal structures remains challenging for universal pre-trained models. Existing approaches often assume regular sampling or depend heavily on imputation, limiting their applicability in real-world…

Machine Learning · Computer Science 2025-08-26 Jingge Xiao , Yile Chen , Gao Cong , Wolfgang Nejdl , Simon Gottschalk

Time series data are observations collected over time intervals. Successful analysis of time series data captures patterns such as trends, cyclicity and irregularity, which are crucial for decision making in research, business, and…

Machine Learning · Computer Science 2023-08-21 Daniel Zhang

We consider the problem of testing for long-range dependence in time-varying coefficient regression models, where the covariates and errors are locally stationary, allowing complex temporal dynamics and heteroscedasticity. We develop KPSS,…

Statistics Theory · Mathematics 2023-03-10 Lujia Bai , Weichi Wu

Time series forecasting has applications across domains and industries, especially in healthcare, but the technical expertise required to analyze data, build models, and interpret results can be a barrier to using these techniques. This…

Machine Learning · Computer Science 2025-12-10 Aaron D. Mullen , Daniel R. Harris , Svetla Slavova , V. K. Cody Bumgardner

Time series classification is an important analytical task across diverse domains. However, its practical application is often hindered by the scarcity of labeled data and the requirement for substantial computational resources. To address…

Machine Learning · Computer Science 2026-04-29 Xuanhao Yang , Bing Xue , Mengjie Zhang

To address the difficult problem of multi-step ahead prediction of non-parametric autoregressions, we consider a forward bootstrap approach. Employing a local constant estimator, we can analyze a general type of non-parametric time series…

Methodology · Statistics 2023-11-02 Dimitris N. Politis , Kejin Wu

The ever-growing amount of sensor data from machines, smart devices, and the environment leads to an abundance of high-resolution, unannotated time series (TS). These recordings encode recognizable properties of latent states and…

Machine Learning · Computer Science 2025-08-26 Arik Ermshaus , Patrick Schäfer , Ulf Leser

The analysis of nonstationary time series is of great importance in many scientific fields such as physics and neuroscience. In recent years, Gaussian process regression has attracted substantial attention as a robust and powerful method…

Machine Learning · Statistics 2016-11-01 Luca Ambrogioni , Eric Maris

Time series forecasting has become an increasingly popular research area due to its critical applications in various real-world domains such as traffic management, weather prediction, and financial analysis. Despite significant…

Machine Learning · Computer Science 2024-08-22 Ninghui Feng , Songning Lai , Jiayu Yang , Fobao Zhou , Zhenxiao Yin , Hang Zhao