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Multivariate time series (MTS) forecasting is vital in fields like weather, energy, and finance. However, despite deep learning advancements, traditional Transformer-based models often diminish the effect of crucial inter-variable…

Machine Learning · Computer Science 2025-03-03 Yanhong Li , David C. Anastasiu

Rapid progress in machine learning and deep learning has enabled a wide range of applications in the electricity load forecasting of power systems, for instance, univariate and multivariate short-term load forecasting. Though the strong…

Machine Learning · Computer Science 2024-02-20 Yuqi Jiang , Yan Li , Yize Chen

While diffusion models can successfully generate data and make predictions, they are predominantly designed for static images. We propose an approach for efficiently training diffusion models for probabilistic spatiotemporal forecasting,…

Machine Learning · Computer Science 2023-10-12 Salva Rühling Cachay , Bo Zhao , Hailey Joren , Rose Yu

Predicting high-dimensional dynamical systems with irregular time steps presents significant challenges for current data-driven algorithms. These irregularities arise from missing data, sparse observations, or adaptive computational…

Machine Learning · Computer Science 2026-03-27 Kewei Zhu , Yanze Xin , Jinwei Hu , Xiaoyuan Cheng , Yiming Yang , Sibo Cheng

As global climate change intensifies, accurate weather forecasting has become increasingly important, affecting agriculture, energy management, environmental protection, and daily life. This study introduces a hybrid model combining…

Machine Learning · Computer Science 2024-10-22 Yuhao Gong , Yuchen Zhang , Fei Wang , Chi-Han Lee

The use of time series for sequential online prediction (SOP) has long been a research topic, but achieving robust and computationally efficient SOP with non-stationary time series remains a challenge. This paper reviews a framework, called…

Methodology · Statistics 2023-04-24 Bin Liu

Multivariate time series forecasting plays a crucial role in various real-world applications. Significant efforts have been made to integrate advanced network architectures and training strategies that enhance the capture of temporal…

Machine Learning · Computer Science 2024-10-31 Zhiding Liu , Jiqian Yang , Qingyang Mao , Yuze Zhao , Mingyue Cheng , Zhi Li , Qi Liu , Enhong Chen

Due to simplicity and strong stability guarantees, predictor feedback methods have stood as a popular approach for time delay systems since the 1950s. For time-varying delays, however, implementation requires computing a prediction horizon…

Systems and Control · Electrical Eng. & Systems 2026-04-01 Luke Bhan , Miroslav Krstic , Yuanyuan Shi

Accurate delivery delay prediction is critical for maintaining operational efficiency and customer satisfaction across modern supply chains. Yet the increasing complexity of logistics networks, spanning multimodal transportation,…

The Indian Summer Monsoon (ISM) is a critical climate phenomenon, fundamentally impacting the agriculture, economy, and water security of over a billion people. Traditional long-range forecasting, whether statistical or dynamical, has…

Computer Vision and Pattern Recognition · Computer Science 2026-01-07 Parashjyoti Borah , Sanghamitra Sarkar , Ranjan Phukan

The intersection of machine learning and dynamical systems has generated considerable interest recently. Neural Ordinary Differential Equations (NODEs) represent a rich overlap between these fields. In this paper, we develop a continuous…

Optimization and Control · Mathematics 2023-06-16 Maria Oprea , Mark Walth , Robert Stephany , Gabriella Torres Nothaft , Arnaldo Rodriguez-Gonzalez , William Clark

Accurate traffic prediction is a key task for intelligent transportation systems. The core difficulty lies in accurately modeling the complex spatial-temporal dependencies in traffic data. In recent years, improvements in network…

Machine Learning · Computer Science 2026-03-03 Sen Shi , Zhichao Zhang , Yangfan He

Density-equalizing map (DEM) serves as a powerful technique for creating shape deformations with the area changes reflecting an underlying density function. In recent decades, DEM has found widespread applications in fields such as data…

Graphics · Computer Science 2025-11-18 Yanwen Huang , Lok Ming Lui , Gary P. T. Choi

Improving predictive understanding of Earth system variability and change requires data-model integration. Efficient data-model integration for complex models requires surrogate modeling to reduce model evaluation time. However, building a…

Machine Learning · Statistics 2019-01-17 Dan Lu , Daniel Ricciuto

Transformer models have consistently achieved remarkable results in various domains such as natural language processing and computer vision. However, despite ongoing research efforts to better understand these models, the field still lacks…

Machine Learning · Computer Science 2024-10-18 Ilya Kaufman , Omri Azencot

Deep neural networks have made great achievements in rainfall prediction.However, the current forecasting methods have certain limitations, such as with blurry generated images and incorrect spatial positions. To overcome these challenges,…

Computer Vision and Pattern Recognition · Computer Science 2024-02-21 XuDong Ling , ChaoRong Li , FengQing Qin , LiHong Zhu , Yuanyuan Huang

Recent advancements have underscored the impact of deep learning techniques on multivariate time series forecasting (MTSF). Generally, these techniques are bifurcated into two categories: Channel-independence and Channel-mixing approaches.…

Machine Learning · Computer Science 2024-03-05 Shiyi Qi , Liangjian Wen , Yiduo Li , Yuanhang Yang , Zhe Li , Zhongwen Rao , Lujia Pan , Zenglin Xu

Time series forecasts are widely used to inform decisions. Human decision-makers interpret these forecasts, incorporate prior experience and uncertainty about future outcomes, and then make a decision. In this paper, we propose a new…

Machine Learning · Statistics 2026-05-01 Daniel Andrew Coulson , Martin T. Wells

Wind flow can be highly unpredictable and can suffer substantial fluctuations in speed and direction due to the shape and height of hills, mountains, and valleys, making accurate wind speed (WS) forecasting essential in complex terrain.…

Machine Learning · Computer Science 2024-08-29 Sourav Malakar , Saptarsi Goswami , Amlan Chakrabarti , Bhaswati Ganguli

Currently, iTransformer is one of the most popular and effective models for multivariate time series (MTS) forecasting. Thanks to its inverted framework, iTransformer effectively captures multivariate correlation. However, the inverted…

Machine Learning · Computer Science 2025-07-17 Hongming Tan , Ting Chen , Ruochong Jin , Wai Kin Chan
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