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Decomposing complex time series into trend, seasonality, and remainder components is an important task to facilitate time series anomaly detection and forecasting. Although numerous methods have been proposed, there are still many time…

Machine Learning · Computer Science 2018-12-06 Qingsong Wen , Jingkun Gao , Xiaomin Song , Liang Sun , Huan Xu , Shenghuo Zhu

Conformal prediction offers a practical framework for distribution-free uncertainty quantification, providing finite-sample coverage guarantees under relatively mild assumptions on data exchangeability. However, these assumptions cease to…

Machine Learning · Statistics 2024-06-25 Derck W. E. Prinzhorn , Thijmen Nijdam , Putri A. van der Linden , Alexander Timans

Decomposing a complex time series into trend, seasonality, and remainder components is an important primitive that facilitates time series anomaly detection, change point detection, and forecasting. Although numerous batch algorithms are…

Machine Learning · Computer Science 2022-08-08 Abhinav Mishra , Ram Sriharsha , Sichen Zhong

The performance of autonomous systems heavily relies on their ability to generate a robust representation of the environment. Deep neural networks have greatly improved vision-based perception systems but still fail in challenging…

Computer Vision and Pattern Recognition · Computer Science 2018-10-16 Jörg Wagner , Volker Fischer , Michael Herman , Sven Behnke

The multivariate Bayesian structural time series (MBSTS) model is a general machine learning model that deals with inference and prediction for multiple correlated time series, where one also has the choice of using a different candidate…

Methodology · Statistics 2023-02-07 Ning Ning , Jinwen Qiu

Time series anomaly detection is crucial for maintaining stable systems. Existing methods face two main challenges. First, it is difficult to directly model the dependencies of diverse and complex patterns within the sequences. Second, many…

Machine Learning · Computer Science 2025-04-22 Wenxin Zhang , Cuicui Luo

We propose a new method for decomposing seasonal data: STR (a Seasonal-Trend decomposition using Regression). Unlike other decomposition methods, STR allows for multiple seasonal and cyclic components, covariates, seasonal patterns that may…

Methodology · Statistics 2021-07-02 Alexander Dokumentov , Rob J. Hyndman

The decomposition of time series into components is an important task that helps to understand time series and can enable better forecasting. Nowadays, with high sampling rates leading to high-frequency data (such as daily, hourly, or…

Applications · Statistics 2021-07-29 Kasun Bandara , Rob J Hyndman , Christoph Bergmeir

The decomposition of a time series is an essential task that helps to understand its very nature. It facilitates the analysis and forecasting of complex time series expressing various hidden components such as the trend, seasonal…

Methodology · Statistics 2022-04-25 Grzegorz Dudek

Time series generation focuses on modeling the underlying data distribution and resampling to produce authentic time series data. Key components, such as trend and seasonality, drive temporal fluctuations, yet many existing approaches fail…

Machine Learning · Computer Science 2025-11-04 Zixuan Ma , Chenfeng Huang

With the advent of Transformers, time series forecasting has seen significant advances, yet it remains challenging due to the need for effective sequence representation, memory construction, and accurate target projection. Time series…

Artificial Intelligence · Computer Science 2025-07-09 Robert Leppich , Michael Stenger , André Bauer , Samuel Kounev

We present tidychangepoint, a new R package for changepoint detection analysis. Most R packages for segmenting univariate time series focus on providing one or two algorithms for changepoint detection that work with a small set of models…

Methodology · Statistics 2026-01-14 Benjamin S. Baumer , Biviana Marcela Suarez Sierra

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

In complex inferential tasks like question answering, machine learning models must confront two challenges: the need to implement a compositional reasoning process, and, in many applications, the need for this reasoning process to be…

Computer Vision and Pattern Recognition · Computer Science 2019-03-08 Ronghang Hu , Jacob Andreas , Trevor Darrell , Kate Saenko

collapse is a large C/C++-based infrastructure package facilitating complex statistical computing, data transformation, and exploration tasks in R - at outstanding levels of performance and memory efficiency. It also implements a…

Computation · Statistics 2025-06-02 Sebastian Krantz

Multivariate spatio-temporal data refers to multiple measurements taken across space and time. For many analyses, spatial and time components can be separately studied: for example, to explore the temporal trend of one variable for a single…

Computation · Statistics 2026-02-24 H. Sherry Zhang , Dianne Cook , Ursula Laa , Nicolas Langrené , Patricia Menéndez

Predictive maintenance in complex systems is often complicated by the heterogeneity and redundancy of monitored variables,which can obscure fault-relevant information and reduce model interpretability. This work proposes a semantic feature…

Artificial Intelligence · Computer Science 2026-05-15 Emilio Mastriani , Alessandro Costa , Federico Incardona , Kevin Munari , Sebastiano Spinello

Cross-domain time series forecasting is a valuable task in various web applications. Despite its rapid advancement, achieving effective generalization across heterogeneous time series data remains a significant challenge. Existing methods…

Artificial Intelligence · Computer Science 2025-11-04 Tingyue Pan , Mingyue Cheng , Shilong Zhang , Zhiding Liu , Xiaoyu Tao , Yucong Luo , Jintao Zhang , Qi Liu

A structural time series model additively decomposes into generative, semantically-meaningful components, each of which depends on a vector of parameters. We demonstrate that considering each generative component together with its vector of…

Methodology · Statistics 2020-09-16 David Rushing Dewhurst

Multivariate time series have many applications, from healthcare and meteorology to life science. Although deep learning models have shown excellent predictive performance for time series, they have been criticised for being "black-boxes"…

Machine Learning · Computer Science 2024-05-06 Qiqi Su , Christos Kloukinas , Artur d'Avila Garcez
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