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For Multivariate Time Series Forecasting (MTSF), recent deep learning applications show that univariate models frequently outperform multivariate ones. To address the difficiency in multivariate models, we introduce a method to Construct…

Machine Learning · Statistics 2026-02-06 Jiecheng Lu , Xu Han , Yan Sun , Shihao Yang

Time series often appear in an additive hierarchical structure. In such cases, time series on higher levels are the sums of their subordinate time series. This hierarchical structure places a natural constraint on forecasts. However,…

Methodology · Statistics 2025-03-20 Louis Steinmeister , Markus Pauly

Anomaly Detection in multivariate time series is a major problem in many fields. Due to their nature, anomalies sparsely occur in real data, thus making the task of anomaly detection a challenging problem for classification algorithms to…

Machine Learning · Computer Science 2023-08-08 Anastasios Iliopoulos , John Violos , Christos Diou , Iraklis Varlamis

Observations made in continuous time are often irregular and contain the missing values across different channels. One approach to handle the missing data is imputing it using splines, by fitting the piecewise polynomials to the observed…

Machine Learning · Computer Science 2022-10-20 Marin Biloš , Emanuel Ramneantu , Stephan Günnemann

Making an accurate prediction of an unknown system only from a short-term time series is difficult due to the lack of sufficient information, especially in a multi-step-ahead manner. However, a high-dimensional short-term time series…

Machine Learning · Computer Science 2022-04-27 Peng Tao , Xiaohu Hao , Jie Cheng , Luonan Chen

Multivariate time series forecasting is crucial across various industries, where accurate extraction of complex periodic and trend components can significantly enhance prediction performance. However, existing models often struggle to…

Machine Learning · Computer Science 2025-05-08 Yulong Wang , Yushuo Liu , Xiaoyi Duan , Kai Wang

Time series forecasting has seen considerable improvement during the last years, with transformer models and large language models driving advancements of the state of the art. Modern forecasting models are generally opaque and do not…

Machine Learning · Computer Science 2025-11-18 Tim Kreuzer , Jelena Zdravkovic , Panagiotis Papapetrou

Time series forecasting has important applications in financial analysis, weather forecasting, and traffic management. However, existing deep learning models are limited in processing non-stationary time series data because they cannot…

Machine Learning · Computer Science 2025-05-13 Yuqi Xiong , Yang Wen

A persistent paradox in time-series forecasting is that structurally simple MLP and linear models often outperform high-capacity Transformers. We argue that this gap arises from a mismatch in the sequence-modeling primitive: while many…

Machine Learning · Computer Science 2026-05-13 Jevon Twitty , Vinh Pham , Nitiwith Rotchanarak , Viresh Pati , Yubin Kim , Shihao Yang , Jiecheng Lu

The extensive adoption of web technologies in the finance and investment sectors has led to an explosion of financial data, which contributes to the complexity of the forecasting task. Traditional machine learning models exhibit limitations…

Machine Learning · Computer Science 2026-01-21 Renjun Jia , Zian Liu , Peng Zhu , Dawei Cheng , Yuqi Liang

Multivariate time series (MTS) anomaly detection commonly encounters in various domains like finance, healthcare, and industrial monitoring. However, existing MTS anomaly detection methods are mostly defined on the static graph structure,…

Machine Learning · Computer Science 2025-09-23 Jia Li , Shiyu Long , Ye Yuan

Transformer-based architectures have achieved remarkable success in natural language processing and computer vision. However, their performance in multivariate long-term forecasting often falls short compared to simpler linear baselines.…

Machine Learning · Computer Science 2025-07-09 Dizhen Liang

Forecasting anomalies (anomaly prediction) in multivariate time series from different real-world, dynamic, and complex systems is vital for preempting critical failures, leading to a substantial minimization in operational costs and human…

Sparse and irregularly sampled multivariate time series are common in clinical, climate, financial and many other domains. Most recent approaches focus on classification, regression or forecasting tasks on such data. In forecasting, it is…

Machine Learning · Computer Science 2020-04-08 Shivam Srivastava , Prithviraj Sen , Berthold Reinwald

Time series forecasting presents a significant challenge, particularly when its accuracy relies on external data sources rather than solely on historical values. This issue is prevalent in the financial sector, where the future behavior of…

Machine Learning · Computer Science 2024-03-22 Hajar Emami , Xuan-Hong Dang , Yousaf Shah , Petros Zerfos

Time series data analysis is a critical component in various domains such as finance, healthcare, and meteorology. Despite the progress in deep learning for time series analysis, there remains a challenge in addressing the non-stationary…

Machine Learning · Computer Science 2025-09-12 Han Yu , Peikun Guo , Akane Sano

The challenge of efficiently identifying anomalies in data sequences is an important statistical problem that now arises in many applications. Whilst there has been substantial work aimed at making statistical analyses robust to outliers,…

Machine Learning · Statistics 2019-04-12 Alexander T. M. Fisch , Idris A. Eckley , Paul Fearnhead

The unsupervised detection of anomalies in time series data has important applications in user behavioral modeling, fraud detection, and cybersecurity. Anomaly detection has, in fact, been extensively studied in categorical sequences.…

Social and Information Networks · Computer Science 2021-02-24 Timothy LaRock , Vahan Nanumyan , Ingo Scholtes , Giona Casiraghi , Tina Eliassi-Rad , Frank Schweitzer

We introduce a novel, practically relevant variation of the anomaly detection problem in multi-variate time series: intrinsic anomaly detection. It appears in diverse practical scenarios ranging from DevOps to IoT, where we want to…

Time series forecasting predicts future values from past data. In real-world settings, some anomalous events have lasting effects and influence the forecast, while others are short-lived and should be ignored. Standard forecasting models…

Machine Learning · Computer Science 2025-12-15 Joel Ekstrand , Zahra Taghiyarrenani , Slawomir Nowaczyk