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Deep learning has shown strong performance in time series forecasting tasks. However, issues such as missing values and anomalies in sequential data hinder its further development in prediction tasks. Previous research has primarily focused…

Machine Learning · Computer Science 2025-12-17 Hua Wang , Jinghao Lu , Fan Zhang

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

Time series forecasting remains a critical challenge across various domains, often complicated by high-dimensional data and long-term dependencies. This paper presents a novel transformer architecture for time series forecasting,…

Machine Learning · Computer Science 2025-02-12 Yanlong Wang , Jian Xu , Fei Ma , Shao-Lun Huang , Danny Dongning Sun , Xiao-Ping Zhang

Functional time series analysis, whether based on time of frequency domain methodology, has traditionally been carried out under the assumption of complete observation of the constituent series of curves, assumed stationary. Nevertheless,…

Methodology · Statistics 2020-04-02 Tomáš Rubín , Victor M. Panaretos

Time series forecasting (TSF) is critical across domains such as finance, meteorology, and energy. While extending the lookback window theoretically provides richer historical context, in practice, it often introduces irrelevant noise and…

Machine Learning · Computer Science 2026-04-03 Xiang Ao , Yinyu Tan , Mengru Chen

Multivariate time series (MTS) forecasting is crucial for decision-making in domains such as weather, energy, and finance. It remains challenging because real-world sequences intertwine slow trends, multi-rate seasonalities, and irregular…

Machine Learning · Computer Science 2026-02-06 Shunya Nagashima , Shuntaro Suzuki , Shuitsu Koyama , Shinnosuke Hirano

Time series foundation models (TSFMs) are revolutionizing the forecasting landscape from specific dataset modeling to generalizable task evaluation. However, we contend that existing benchmarks exhibit common limitations in four dimensions:…

Explaining multivariate time series is a compound challenge, as it requires identifying important locations in the time series and matching complex temporal patterns. Although previous saliency-based methods addressed the challenges, their…

Machine Learning · Computer Science 2024-01-30 Zichuan Liu , Yingying Zhang , Tianchun Wang , Zefan Wang , Dongsheng Luo , Mengnan Du , Min Wu , Yi Wang , Chunlin Chen , Lunting Fan , Qingsong Wen

In this paper, we introduce FITS, a lightweight yet powerful model for time series analysis. Unlike existing models that directly process raw time-domain data, FITS operates on the principle that time series can be manipulated through…

Machine Learning · Computer Science 2024-01-08 Zhijian Xu , Ailing Zeng , Qiang Xu

In many applications of time series models, such as climate analysis and social media analysis, we are often interested in extreme events, such as heatwave, wind gust, and burst of topics. These time series data usually exhibit a…

Methodology · Statistics 2012-06-22 Yan Liu , Taha Bahadori , Hongfei Li

Detecting anomalies in time series data is a critical task across many domains. The challenge intensifies when anomalies are sparse and the data are multivariate with relational dependencies across sensors or nodes. Traditional univariate…

Machine Learning · Computer Science 2025-03-06 Sneh Pillai

Long-term satellite image time series (SITS) analysis in heterogeneous landscapes faces significant challenges, particularly in Mediterranean regions where complex spatial patterns, seasonal variations, and multi-decade environmental…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Ido Faran , Nathan S. Netanyahu , Maxim Shoshany

Unsupervised/self-supervised time series representation learning is a challenging problem because of its complex dynamics and sparse annotations. Existing works mainly adopt the framework of contrastive learning with the time-based…

Machine Learning · Computer Science 2022-05-31 Ling Yang , Shenda Hong

Computing the Sparse Fast Fourier Transform(sFFT) of a K-sparse signal of size N has emerged as a critical topic for a long time. The sFFT algorithms decrease the runtime and sampling complexity by taking advantage of the signal inherent…

Signal Processing · Electrical Eng. & Systems 2020-11-12 Bin Li , Zhikang Jiang , Jie Chen

Multivariate Time Series (MTS) forecasting involves modeling temporal dependencies within historical records. Transformers have demonstrated remarkable performance in MTS forecasting due to their capability to capture long-term…

Machine Learning · Computer Science 2024-07-17 Yifan Zhang , Rui Wu , Sergiu M. Dascalu , Frederick C. Harris

Time series AI is crucial for analyzing dynamic web content, driving a surge of pre-trained large models known for their strong knowledge encoding and transfer capabilities across diverse tasks. However, given their energy-intensive…

Machine Learning · Computer Science 2025-11-03 ChengAo Shen , Ziming Zhao , Hanghang Tong , Dongjin Song , Dongsheng Luo , Qingsong Wen , Jingchao Ni

Time series prediction can be generalized as a process that extracts useful information from historical records and then determines future values. Learning long-range dependencies that are embedded in time series is often an obstacle for…

Neural and Evolutionary Computing · Computer Science 2018-10-25 Yuxiu Hua , Zhifeng Zhao , Rongpeng Li , Xianfu Chen , Zhiming Liu , Honggang Zhang

This paper proposes a supervised dimension reduction methodology for tensor data which has two advantages over most image-based prognostic models. First, the model does not require tensor data to be complete which expands its application to…

Machine Learning · Computer Science 2023-06-06 Chengyu Zhou , Xiaolei Fang

High-dimensional time series prediction is needed in applications as diverse as demand forecasting and climatology. Often, such applications require methods that are both highly scalable, and deal with noisy data in terms of corruptions or…

Machine Learning · Computer Science 2016-02-18 Hsiang-Fu Yu , Nikhil Rao , Inderjit S. Dhillon

Accurate forecasting of sequential data streams is a cornerstone of modern Web services, supporting applications such as traffic management, user behavior modeling, and online anomaly prevention. However, in many Web environments, new…

Machine Learning · Computer Science 2026-02-02 Shichao Ma , Zhengyang Zhou , Qihe Huang , Binwu Wang , Yang Wang