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Hierarchical forecasting is a key problem in many practical multivariate forecasting applications - the goal is to simultaneously predict a large number of correlated time series that are arranged in a pre-specified aggregation hierarchy.…

Machine Learning · Computer Science 2021-10-13 Biswajit Paria , Rajat Sen , Amr Ahmed , Abhimanyu Das

We propose an efficient design of Transformer-based models for multivariate time series forecasting and self-supervised representation learning. It is based on two key components: (i) segmentation of time series into subseries-level patches…

Machine Learning · Computer Science 2023-03-07 Yuqi Nie , Nam H. Nguyen , Phanwadee Sinthong , Jayant Kalagnanam

Spatio-temporal forecasting is an open research field whose interest is growing exponentially. In this work we focus on creating a complex deep neural framework for spatio-temporal traffic forecasting with comparatively very good…

Machine Learning · Computer Science 2020-10-22 Rodrigo de Medrano , José L. Aznarte

Traffic flow forecasting is a crucial task in transportation management and planning. The main challenges for traffic flow forecasting are that (1) as the length of prediction time increases, the accuracy of prediction will decrease; (2)…

Artificial Intelligence · Computer Science 2024-05-13 Jianli Xiao , Baichao Long

Since the introduction of the Transformer architecture for large language models, the softmax-based attention layer has faced increasing scrutinity due to its quadratic-time computational complexity. Attempts have been made to replace it…

Machine Learning · Computer Science 2026-02-02 Robert Forchheimer

Time series forecasting at scale presents significant challenges for modern prediction systems, particularly when dealing with large sets of synchronized series, such as in a global payment network. In such systems, three key challenges…

Accurate traffic flow prediction is essential for applications like transport logistics but remains challenging due to complex spatio-temporal correlations and non-linear traffic patterns. Existing methods often model spatial and temporal…

Machine Learning · Computer Science 2025-03-18 Jing Chen , Haocheng Ye , Zhian Ying , Yuntao Sun , Wenqiang Xu

Recent developments related to the energy transition pose particular challenges for distribution grids. Hence, precise load forecasts become more and more important for effective grid management. Novel modeling approaches such as the…

Machine Learning · Computer Science 2023-05-19 Elena Giacomazzi , Felix Haag , Konstantin Hopf

Accurate forecasting in financial markets requires integrating diverse data sources, from historical prices to macroeconomic indicators and financial news. However, existing models often fail to align these modalities effectively, limiting…

Machine Learning · Computer Science 2025-11-04 Yunhua Pei , John Cartlidge , Anandadeep Mandal , Daniel Gold , Enrique Marcilio , Riccardo Mazzon

Transformers have achieved remarkable performance in multivariate time series(MTS) forecasting due to their capability to capture long-term dependencies. However, the canonical attention mechanism has two key limitations: (1) its quadratic…

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

In long-term multivariate time series forecasting, effectively capturing both periodic patterns and residual dynamics is essential. To address this within standard deep learning benchmark settings, we propose the Hierarchical Patching Mixer…

Machine Learning · Computer Science 2026-02-20 Jung Min Choi , Vijaya Krishna Yalavarthi , Lars Schmidt-Thieme

Time-series forecasting plays an important role in many real-world scenarios, such as equipment life cycle forecasting, weather forecasting, and traffic flow forecasting. It can be observed from recent research that a variety of…

Machine Learning · Computer Science 2022-06-14 Benhan Li , Shengdong Du , Tianrui Li , Jie Hu , Zhen Jia

Spiking neural networks (SNNs), inspired by the spiking behavior of biological neurons, offer a distinctive approach for capturing the complexities of temporal data. However, their potential for spatial modeling in multivariate time-series…

Machine Learning · Computer Science 2025-08-19 Bang Hu , Changze Lv , Mingjie Li , Yunpeng Liu , Xiaoqing Zheng , Fengzhe Zhang , Wei cao , Fan Zhang

Short-term precipitation forecasting remains challenging due to the difficulty in capturing long-term spatiotemporal dependencies. Current deep learning methods fall short in establishing effective dependencies between conditions and…

Machine Learning · Computer Science 2024-10-18 ChaoRong Li , XuDong Ling , YiLan Xue , Wenjie Luo , LiHong Zhu , FengQing Qin , Yaodong Zhou , Yuanyuan Huang

Semantic change detection is an important task in geoscience and earth observation. By producing a semantic change map for each temporal phase, both the land use land cover categories and change information can be interpreted. Recently some…

Computer Vision and Pattern Recognition · Computer Science 2024-06-18 Chenyao Zhou , Haotian Zhang , Han Guo , Zhengxia Zou , Zhenwei Shi

Traffic forecasting requires modeling complex temporal dynamics and long-range spatial dependencies over large sensor networks. Existing methods typically face a trade-off between expressiveness and efficiency: Transformer-based models…

Machine Learning · Computer Science 2026-04-16 Xinjin Li , Jinghan Cao , Mengyue Wang , Yue Wu , Longxiang Yan , Yeyang Zhou , Ziqi Sha , Yu Ma

Time Series Foundation Models (TSFMs) advance generalization and data efficiency in time series forecasting by unified large-scale pretraining. But TSFMs remain lacking when adapting to specific downstream forecasting tasks for two reasons.…

Signal Processing · Electrical Eng. & Systems 2026-05-04 Siyang Li , Yize Chen , Zijie Zhu , Yuxin Pan , Yan Guo , Ming Huang , Hui Xiong

Multivariate time series forecasting plays a crucial role in various fields such as finance, traffic management, energy, and healthcare. Recent studies have highlighted the advantages of channel independence to resist distribution drift but…

Machine Learning · Computer Science 2024-11-19 Lu Han , Xu-Yang Chen , Han-Jia Ye , De-Chuan Zhan

It is imperative to discern the relationships between multiple time series for accurate forecasting. In particular, for stock prices, components are often divided into groups with the same characteristics, and a model that extracts…

Machine Learning · Computer Science 2023-05-16 Ryo Umagami , Yu Ono , Yusuke Mukuta , Tatsuya Harada

The integration of Fourier transform and deep learning opens new avenues for time series forecasting. We reconsider the Fourier transform from a basis functions perspective. Specifically, the real and imaginary parts of the frequency…

Machine Learning · Computer Science 2025-08-05 Runze Yang , Longbing Cao , Xin You , Kun Fang , Jianxun Li , Jie Yang