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Multivariate time-series (MTS) forecasting is a paramount and fundamental problem in many real-world applications. The core issue in MTS forecasting is how to effectively model complex spatial-temporal patterns. In this paper, we develop a…

Machine Learning · Computer Science 2024-02-16 Jinliang Deng , Xiusi Chen , Renhe Jiang , Du Yin , Yi Yang , Xuan Song , Ivor W. Tsang

Time series forecasting is prevalent in various real-world applications. Despite the promising results of deep learning models in time series forecasting, especially the Recurrent Neural Networks (RNNs), the explanations of time series…

Machine Learning · Computer Science 2023-08-29 Chaoqun Wang , Yijun Li , Xiangqian Sun , Qi Wu , Dongdong Wang , Zhixiang Huang

Multivariate time series forecasting is widely used in various fields. Reasonable prediction results can assist people in planning and decision-making, generate benefits and avoid risks. Normally, there are two characteristics of time…

Machine Learning · Computer Science 2021-03-23 Yifu Zhou , Ziheng Duan , Haoyan Xu , Jie Feng , Anni Ren , Yueyang Wang , Xiaoqian Wang

This paper introduces a multiscale analysis based on optimal piecewise linear approximations of time series. An optimality criterion is formulated and on its base a computationally effective algorithm is constructed for decomposition of a…

Data Analysis, Statistics and Probability · Physics 2007-05-23 I. Zaliapin , A. Gabrielov , V. Keilis-Borok

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

Multivariate time-series forecasting is vital in various domains, e.g., economic planning and weather prediction. Deep train-from-scratch models have exhibited effective performance yet require large amounts of data, which limits real-world…

Machine Learning · Computer Science 2025-02-21 Ching Chang , Wei-Yao Wang , Wen-Chih Peng , Tien-Fu Chen

The problem of estimating trend and seasonal variation in time-series data has been studied over several decades, although mostly using single time series. This paper studies the problem of estimating these components from functional data,…

Applications · Statistics 2017-04-25 Liang-Hsuan Tai , Anuj Srivastava , Kyle A. Gallivan

Irregularly sampled time series (ISTS) are widespread in real-world scenarios, exhibiting asynchronous observations on uneven time intervals across variables. Existing ISTS forecasting methods often solely utilize historical observations to…

Computer Vision and Pattern Recognition · Computer Science 2026-03-09 Zhi Lei , Chenxi Liu , Hao Miao , Wanghui Qiu , Bin Yang , Chenjuan Guo

Long-term time series forecasting (LTSF) offers broad utility in practical settings like energy consumption and weather prediction. Accurately predicting long-term changes, however, is demanding due to the intricate temporal patterns and…

Machine Learning · Computer Science 2025-05-19 Boshi Gao , Qingjian Ni , Fanbo Ju , Yu Chen , Ziqi Zhao

This work presents a Long Short-Term Memory (LSTM) network for forecasting a monthly electricity demand time series with a one-year horizon. The novelty of this work is the use of pattern representation of the seasonal time series as an…

Signal Processing · Electrical Eng. & Systems 2020-04-29 Paweł Pełka , Grzegorz Dudek

Spatial time series forecasting problems arise in a broad range of applications, such as environmental and transportation problems. These problems are challenging because of the existence of specific spatial, short-term and long-term…

Machine Learning · Computer Science 2019-02-05 Reza Asadi , Amelia Regan

Time series forecasting plays an increasingly important role in modern business decisions. In today's data-rich environment, people often aim to choose the optimal forecasting model for their data. However, identifying the optimal model…

Applications · Statistics 2021-12-17 Xixi Li , Fotios Petropoulos , Yanfei Kang

Time series is a special type of sequence data, a sequence of real-valued random variables collected at even intervals of time. The real-world multivariate time series comes with noises and contains complicated local and global temporal…

Machine Learning · Computer Science 2023-11-21 Site Mo , Haoxin Wang , Bixiong Li , Songhai Fan , Yuankai Wu , Xianggen Liu

Time series forecasting is widely used in extensive applications, such as traffic planning and weather forecasting. However, real-world time series usually present intricate temporal variations, making forecasting extremely challenging.…

Machine Learning · Computer Science 2024-05-24 Shiyu Wang , Haixu Wu , Xiaoming Shi , Tengge Hu , Huakun Luo , Lintao Ma , James Y. Zhang , Jun Zhou

Separating multiple effects in time series is fundamental yet challenging for time-series forecasting (TSF). However, existing TSF models cannot effectively learn interpretable multi-effect decomposition by their smoothing-based temporal…

Machine Learning · Computer Science 2026-03-20 Runze Yang , Longbing Cao , Xiaoming Wu , Xin You , Kun Fang , Jianxun Li , Jie Yang

Multitask learning (MTL) aims to develop a unified model that can handle a set of closely related tasks simultaneously. By optimizing the model across multiple tasks, MTL generally surpasses its non-MTL counterparts in terms of…

Machine Learning · Computer Science 2023-10-11 Chin-Chia Michael Yeh , Xin Dai , Yan Zheng , Junpeng Wang , Huiyuan Chen , Yujie Fan , Audrey Der , Zhongfang Zhuang , Liang Wang , Wei Zhang

The performance of transformers for time-series forecasting has improved significantly. Recent architectures learn complex temporal patterns by segmenting a time-series into patches and using the patches as tokens. The patch size controls…

Machine Learning · Computer Science 2024-03-25 Yitian Zhang , Liheng Ma , Soumyasundar Pal , Yingxue Zhang , Mark Coates

Very large time series are increasingly available from an ever wider range of IoT-enabled sensors, from which significant insights can be obtained through mining temporal patterns from them. A useful type of patterns found in many…

Databases · Computer Science 2023-01-10 Van Long Ho , Nguyen Ho , Torben Bach Pedersen

Time series (TS) data are ubiquitous across various application areas, rendering time series forecasting (TSF) a fundamental task. With the astounding advances in large language models (LLMs), a variety of methods have been developed to…

Artificial Intelligence · Computer Science 2025-08-25 Zhuomin Chen , Dan Li , Jiahui Zhou , Shunyu Wu , Haozheng Ye , Jian Lou , See-Kiong Ng

Univariate time series (UTS), where each timestamp records a single variable, serve as crucial indicators in web systems and cloud servers. Anomaly detection in UTS plays an essential role in both data mining and system reliability…

Machine Learning · Computer Science 2026-02-11 Lingpei Zhang , Qingming Li , Yong Yang , Jiahao Chen , Rui Zeng , Chenyang Lyu , Shouling Ji