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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 forecasting, which analyzes historical time series to predict future trends, can effectively help decision-making. Complex relations among variables in MTS, including static, dynamic, predictable, and latent…

Machine Learning · Computer Science 2021-12-16 Yueyang Wang , Ziheng Duan , Yida Huang , Haoyan Xu , Jie Feng , Anni Ren

Accurate forecasting of multivariate time series data remains a formidable challenge, particularly due to the growing complexity of temporal dependencies in real-world scenarios. While neural network-based models have achieved notable…

Machine Learning · Computer Science 2025-12-09 Andrey Savchenko , Oleg Kachan

Exogenous variables offer valuable supplementary information for predicting future endogenous variables. Forecasting with exogenous variables needs to consider both past-to-future dependencies (i.e., temporal correlations) and the influence…

Machine Learning · Computer Science 2026-05-04 Zhengyu Li , Xiangfei Qiu , Yuhan Zhu , Xingjian Wu , Jilin Hu , Chenjuan Guo , Bin Yang

Time series forecasting has received wide interest from existing research due to its broad applications and inherent challenging. The research challenge lies in identifying effective patterns in historical series and applying them to future…

Machine Learning · Computer Science 2023-07-14 Tianlong Zhao , Xiang Ma , Xuemei Li , Caiming Zhang

Modern time series forecasting methods, such as Transformer and its variants, have shown strong ability in sequential data modeling. To achieve high performance, they usually rely on redundant or unexplainable structures to model complex…

Machine Learning · Computer Science 2023-11-30 Jingyi Hou , Zhen Dong , Jiayu Zhou , Zhijie Liu

In this paper, we address the challenge of multivariate time-series forecasting using quantum machine learning techniques. We introduce adaptation strategies that extend variational quantum circuit models, traditionally limited to…

Short-term demand forecasting models commonly combine convolutional and recurrent layers to extract complex spatiotemporal patterns in data. Long-term histories are also used to consider periodicity and seasonality patterns as time series…

Machine Learning · Computer Science 2019-10-15 Doyup Lee , Suehun Jung , Yeongjae Cheon , Dongil Kim , Seungil You

In this work, we tackle two widespread challenges in real applications for time-series forecasting that have been largely understudied: distribution shifts and missing data. We propose SpectraNet, a novel multivariate time-series…

Machine Learning · Computer Science 2022-10-26 Cristian Challu , Peihong Jiang , Ying Nian Wu , Laurent Callot

Accurate forecasting of multivariate time series data is important in many engineering and scientific applications. Recent state-of-the-art works ignore the inter-relations between variates, using their model on each variate independently.…

Machine Learning · Computer Science 2025-03-18 Liran Nochumsohn , Hedi Zisling , Omri Azencot

Time series analysis is critical for emerging net- work intelligent control and management functions. However, existing statistical-based and shallow machine learning models have shown limited prediction capabilities on multivariate time…

Machine Learning · Computer Science 2026-03-13 Yufeng Xin , Ethan Fan

Causal inference in a nonlinear system of multivariate timeseries is instrumental in disentangling the intricate web of relationships among variables, enabling us to make more accurate predictions and gain deeper insights into real-world…

Machine Learning · Computer Science 2024-01-17 Wasim Ahmad , Maha Shadaydeh , Joachim Denzler

Long-term time series forecasting plays a pivotal role in various real-world applications. Despite recent advancements and the success of different architectures, forecasting is often challenging due to non-stationary nature of the…

Machine Learning · Computer Science 2025-12-29 Mert Sonmezer , Seyda Ertekin

The prediction of periodical time-series remains challenging due to various types of data distortions and misalignments. Here, we propose a novel model called Temporal embedding-enhanced convolutional neural Network (TeNet) to learn…

Machine Learning · Computer Science 2022-02-09 Jiajun Liu , Kun Zhao , Brano Kusy , Ji-rong Wen , Raja Jurdak

We consider a setting where multiple entities inter-act with each other over time and the time-varying statuses of the entities are represented as multiple correlated time series. For example, speed sensors are deployed in different…

Machine Learning · Computer Science 2021-03-23 Razvan-Gabriel Cirstea , Chenjuan Guo , Bin Yang

Cross-domain HVAC energy prediction is essential for scalable building energy management, particularly because collecting extensive labeled data for every new building is both costly and impractical. Yet, this task remains highly…

Machine Learning · Computer Science 2025-12-15 Kaiyuan Zhai , Jiacheng Cui , Zhehao Zhang , Junyu Xue , Yang Deng , Kui Wu , Guoming Tang

In multivariate time series systems, key insights can be obtained by discovering lead-lag relationships inherent in the data, which refer to the dependence between two time series shifted in time relative to one another, and which can be…

Machine Learning · Statistics 2023-09-20 Yichi Zhang , Mihai Cucuringu , Alexander Y. Shestopaloff , Stefan Zohren

We introduce graphical time series models for the analysis of dynamic relationships among variables in multivariate time series. The modelling approach is based on the notion of strong Granger causality and can be applied to time series…

Statistics Theory · Mathematics 2011-07-18 Michael Eichler

In this paper, we introduce ProNet, an novel deep learning approach designed for multi-horizon time series forecasting, adaptively blending autoregressive (AR) and non-autoregressive (NAR) strategies. Our method involves dividing the…

Machine Learning · Computer Science 2024-08-13 Yang Lin

Causal structure discovery in complex dynamical systems is an important challenge for many scientific domains. Although data from (interventional) experiments is usually limited, large amounts of observational time series data sets are…

Machine Learning · Computer Science 2021-10-19 Bart Bussmann , Jannes Nys , Steven Latré