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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

Accurate forecasting of long-term time series has important applications for decision making and planning. However, it remains challenging to capture the long-term dependencies in time series data. To better extract long-term dependencies,…

Machine Learning · Computer Science 2024-05-15 Feifei Li , Suhan Guo , Feng Han , Jian Zhao , Furao Shen

Accurate electricity consumption forecasting is essential for demand management and smart grid operations. This paper introduces a unified deep learning framework that integrates cyclical temporal encoding with hybrid LSTM-CNN architectures…

Machine Learning · Computer Science 2025-12-04 Salim Khazem , Houssam Kanso

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

Real-world time-series datasets are often multivariate with complex dynamics. To capture this complexity, high capacity architectures like recurrent- or attention-based sequential deep learning models have become popular. However, recent…

Machine Learning · Computer Science 2023-09-12 Si-An Chen , Chun-Liang Li , Nate Yoder , Sercan O. Arik , Tomas Pfister

Accurate forecasting of multivariate time series is an extensively studied subject in finance, transportation, and computer science. Fully mining the correlation and causation between the variables in a multivariate time series exhibits…

Machine Learning · Computer Science 2022-05-25 Weijun Chen , Yanze Wang , Chengshuo Du , Zhenglong Jia , Feng Liu , Ran Chen

Deep learning (e.g., Transformer) has been widely and successfully used in multivariate time series forecasting (MTSF). Unlike existing methods that focus on training models from a single modal of time series input, large language models…

Machine Learning · Computer Science 2025-04-09 Peiyuan Liu , Hang Guo , Tao Dai , Naiqi Li , Jigang Bao , Xudong Ren , Yong Jiang , Shu-Tao Xia

In this paper, for the purpose of data centre energy consumption monitoring and analysis, we propose to detect the running programs in a server by classifying the observed power consumption series. Time series classification problem has…

Neural and Evolutionary Computing · Computer Science 2017-06-08 Yuanlong Li , Han Hu , Yonggang Wen , Jun Zhang

Time series forecasting presents significant challenges in real-world applications across various domains. Building upon the decomposition of the time series, we enhance the architecture of machine learning models for better multivariate…

Machine Learning · Computer Science 2026-02-24 Sanjeev Panta , Xu Yuan , Li Chen , Nian-Feng Tzeng

Efficiently capturing the complex spatiotemporal representations from large-scale unlabeled traffic data remains to be a challenging task. In considering of the dilemma, this work employs the advanced contrastive learning and proposes a…

Machine Learning · Computer Science 2023-12-19 Lincan Li , Kaixiang Yang , Fengji Luo , Jichao Bi

The time-series forecasting (TSF) problem is a traditional problem in the field of artificial intelligence. Models such as Recurrent Neural Network (RNN), Long Short Term Memory (LSTM), and GRU (Gate Recurrent Units) have contributed to…

Machine Learning · Computer Science 2024-08-29 Sunghyun Sim , Dohee Kim , Hyerim Bae

In the era of increasingly complex AI models for time series forecasting, progress is often measured by marginal improvements on benchmark leaderboards. However, this approach suffers from a fundamental flaw: standard evaluation metrics…

Machine Learning · Computer Science 2026-05-28 Wanjin Feng , Yuan Yuan , Jingtao Ding , Yong Li

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

DTW calculates the similarity or alignment between two signals, subject to temporal warping. However, its computational complexity grows exponentially with the number of time-series. Although there have been algorithms developed that are…

Machine Learning · Computer Science 2019-03-25 Soheil Khorram , Melvin G McInnis , Emily Mower Provost

Generating forecasts for time series with multiple seasonal cycles is an important use-case for many industries nowadays. Accounting for the multi-seasonal patterns becomes necessary to generate more accurate and meaningful forecasts in…

Applications · Statistics 2020-04-28 Kasun Bandara , Christoph Bergmeir , Hansika Hewamalage

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

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

Long-term time series forecasting (LTSF) is a critical task across diverse domains. Despite significant advancements in LTSF research, we identify a performance bottleneck in existing LTSF methods caused by the inadequate modeling of…

Machine Learning · Computer Science 2025-09-22 Qi Xiong , Kai Tang , Minbo Ma , Ji Zhang , Jie Xu , Tianrui Li

Multivariate time series are routinely encountered in real-world applications, and in many cases, these time series are strongly correlated. In this paper, we present a deep learning structural time series model which can (i) handle…

Machine Learning · Statistics 2020-01-03 Changwei Hu , Yifan Hu , Sungyong Seo

Short fixed-length inputs are the main bottleneck of deep learning methods in long time-series forecasting tasks. Prolonging input length causes overfitting, rapidly deteriorating accuracy. Our research indicates that the overfitting is a…

Machine Learning · Computer Science 2025-09-05 Chao Ma , Yikai Hou , Xiang Li , Yinggang Sun , Haining Yu