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Recent advancements in long-term time series forecasting (LTSF) have primarily focused on capturing cross-time and cross-variate (channel) dependencies within historical data. However, a critical aspect often overlooked by many existing…

Machine Learning · Computer Science 2024-12-03 Chaolv Zeng , Yuan Tian , Guanjie Zheng , Yunjun Gao

Modern time series analysis demands frameworks that are flexible, efficient, and extensible. However, many existing Python libraries exhibit limitations in modularity and in their native support for irregular, multi-source, or sparse data.…

Machine Learning · Computer Science 2025-08-27 Zhijin Wang , Senzhen Wu , Yue Hu , Xiufeng Liu

The multivariate linear regression model is an important tool for investigating relationships between several response variables and several predictor variables. The primary interest is in inference about the unknown regression coefficient…

Statistics Theory · Mathematics 2017-09-13 Daniel J. Eck

This article explores combinations of weighted bootstraps, like the Bayesian bootstrap, with the bootstrap $t$ method for setting approximate confidence intervals for the mean of a random variable in small samples. For this problem the…

Statistics Theory · Mathematics 2025-08-21 Art B. Owen

Data mining, particularly the analysis of multivariate time series data, plays a crucial role in extracting insights from complex systems and supporting informed decision-making across diverse domains. However, assessing the similarity of…

Machine Learning · Computer Science 2025-07-15 Franck Tonle , Henri Tonnang , Milliam Ndadji , Maurice Tchendji , Armand Nzeukou , Kennedy Senagi , Saliou Niassy

In Das and Politis(2020), a model-free bootstrap(MFB) paradigm was proposed for generating prediction intervals of univariate, (locally) stationary time series. Theoretical guarantees for this algorithm was resolved in Wang and…

Methodology · Statistics 2021-12-17 Yiren Wang , Dimitris N. Politis

Particle accelerators are complex facilities that produce large amounts of structured data and have clear optimization goals as well as precisely defined control requirements. As such they are naturally amenable to data-driven research…

Accelerator Physics · Physics 2023-03-01 Sichen Li , Andreas Adelmann

Missing data can significantly hamper standard time series analysis, yet they occur frequently in applications. In this paper, we introduce temporal Wasserstein imputation, a novel method for imputing missing data in time series. Unlike…

Methodology · Statistics 2025-08-15 Shuo-Chieh Huang , Tengyuan Liang , Ruey S. Tsay

While many advances in time series models focus exclusively on numerical data, research on multimodal time series, particularly those involving contextual textual information, remains in its infancy. With recent progress in large language…

Machine Learning · Computer Science 2026-03-10 Zihao Li , Xiao Lin , Zhining Liu , Jiaru Zou , Ziwei Wu , Lecheng Zheng , Dongqi Fu , Yada Zhu , Hendrik Hamann , Hanghang Tong , Jingrui He

Time series data is fundamental to decision-making across many domains including healthcare, finance, power systems, and logistics. However, analyzing this data correctly often requires incorporating unstructured contextual information,…

Machine Learning · Computer Science 2026-03-17 Felix Parker , Nimeesha Chan , Chi Zhang , Kimia Ghobadi

Time-series forecasting has gained significant attention in machine learning due to its crucial role in various domains. However, most existing forecasting models rely heavily on point-wise loss functions like Mean Square Error, which treat…

Machine Learning · Computer Science 2025-07-16 Dilfira Kudrat , Zongxia Xie , Yanru Sun , Tianyu Jia , Qinghua Hu

By amalgamating data from disparate sources, the resulting integrated dataset becomes a valuable resource for statistical analysis. In probabilistic record linkage, the effectiveness of such integration relies on the availability of linkage…

Methodology · Statistics 2025-11-10 Siu-Ming Tam , Min Wang , Alicia Rambaldi , Dehua Tao

Multivariate time series (MTS) analysis prevails in real-world applications such as finance, climate science and healthcare. The various self-attention mechanisms, the backbone of the state-of-the-art Transformer-based models, efficiently…

Machine Learning · Computer Science 2023-11-21 Quang Minh Nguyen , Lam M. Nguyen , Subhro Das

In the extreme value analysis of time series, not only the tail behavior is of interest, but also the serial dependence plays a crucial role. Drees and Rootz\'en (2010) established limit theorems for a general class of empirical processes…

Statistics Theory · Mathematics 2015-11-03 Holger Drees

Time series forecasting is crucial for the World Wide Web and represents a core technical challenge in ensuring the stable and efficient operation of modern web services, such as intelligent transportation and website throughput. However,…

Machine Learning · Computer Science 2026-02-13 Fan Zhang , Shiming Fan , Hua Wang

The block bootstrap confidence interval based on dependent data can outperform the computationally more convenient normal approximation only with non-trivial Studentization which, in the case of complicated statistics, calls for highly…

Methodology · Statistics 2008-04-29 Stephen M. S. Lee , P. Y. Lai

Major advancements in fields as diverse as biology and quantum computing have relied on a multitude of microscopic techniques. All optical, electron and scanning probe microscopy advanced with new detector technologies and integration of…

Instrumentation and Detectors · Physics 2023-03-01 Rama Vasudevan , Mani Valleti , Maxim Ziatdinov , Gerd Duscher , Suhas Somnath

Practical inference procedures for quantile regression models of panel data have been a pervasive concern in empirical work, and can be especially challenging when the panel is observed over many time periods and temporal dependence needs…

Econometrics · Economics 2025-07-25 Antonio F. Galvao , Carlos Lamarche , Thomas Parker

The paper introduces a general framework for statistical analysis of functional time series from a Bayesian perspective. The proposed approach, based on an extension of the popular dynamic linear model to Banach-space valued observations…

Methodology · Statistics 2013-12-02 Giovanni Petris

The multivariate time series forecasting has attracted more and more attention because of its vital role in different fields in the real world, such as finance, traffic, and weather. In recent years, many research efforts have been proposed…

Machine Learning · Computer Science 2021-09-15 Wentao Xu , Weiqing Liu , Jiang Bian , Jian Yin , Tie-Yan Liu