High-Precision prediction of curling trajectory multivariate time series using the novel CasLSTM approach

Abstract As a multivariate time series, the prediction of curling trajectories is crucial for athletes to devise game strategies. However, the wide prediction range and complex data correlations present significant challenges to this task. This paper puts forward an innovative deep learning approach...

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Main Authors: Yanan Guo, Jing Jin, Hongyang Zhao, Yu Jiang, Dandan Li, Yi Shen
Format: Article
Language:English
Published: Nature Portfolio 2025-01-01
Series:Scientific Reports
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Online Access:https://doi.org/10.1038/s41598-025-87933-5
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author Yanan Guo
Jing Jin
Hongyang Zhao
Yu Jiang
Dandan Li
Yi Shen
author_facet Yanan Guo
Jing Jin
Hongyang Zhao
Yu Jiang
Dandan Li
Yi Shen
author_sort Yanan Guo
collection DOAJ
description Abstract As a multivariate time series, the prediction of curling trajectories is crucial for athletes to devise game strategies. However, the wide prediction range and complex data correlations present significant challenges to this task. This paper puts forward an innovative deep learning approach, CasLSTM, by introducing integrated inter-layer memory, and establishes an encoder-predictor curling trajectory forecasting model accordingly. Additionally, tailored training techniques involving non-teacher-forcing, ExMSE loss and incremental multi-trajectory learning are devised to enhance model performance. Notably, the model demonstrates astounding accuracy, achieving sub-1cm average errors over 30m trajectories, outperforming vanilla LSTM by 41.8%. It also showcases robustness across various curling settings, with strict validation metrics on a static test set further verifying precision. Field test results reveal promising predictive capabilities for real-world scenarios as well, exhibiting applicability. The proposed technique liberates data-driven curling stone trajectory prediction from sole reliance on analytical models and tackles key challenges of long sequence forecasting. The presented technologies and insights could also generalize to prediction tasks in other remote trajectories and multivariate time series domains.
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institution Kabale University
issn 2045-2322
language English
publishDate 2025-01-01
publisher Nature Portfolio
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series Scientific Reports
spelling doaj-art-a59ed2424f6a4ed5a713586d9812033c2025-02-02T12:24:13ZengNature PortfolioScientific Reports2045-23222025-01-0115111810.1038/s41598-025-87933-5High-Precision prediction of curling trajectory multivariate time series using the novel CasLSTM approachYanan Guo0Jing Jin1Hongyang Zhao2Yu Jiang3Dandan Li4Yi Shen5Department of Control Science and Engineering, Harbin Institute of TechnologyDepartment of Control Science and Engineering, Harbin Institute of TechnologyCollege of Mechanical and Electrical Engineering, Northeast Forestry UniversityDepartment of Control Science and Engineering, Harbin Institute of TechnologyDepartment of Control Science and Engineering, Harbin Institute of TechnologyDepartment of Control Science and Engineering, Harbin Institute of TechnologyAbstract As a multivariate time series, the prediction of curling trajectories is crucial for athletes to devise game strategies. However, the wide prediction range and complex data correlations present significant challenges to this task. This paper puts forward an innovative deep learning approach, CasLSTM, by introducing integrated inter-layer memory, and establishes an encoder-predictor curling trajectory forecasting model accordingly. Additionally, tailored training techniques involving non-teacher-forcing, ExMSE loss and incremental multi-trajectory learning are devised to enhance model performance. Notably, the model demonstrates astounding accuracy, achieving sub-1cm average errors over 30m trajectories, outperforming vanilla LSTM by 41.8%. It also showcases robustness across various curling settings, with strict validation metrics on a static test set further verifying precision. Field test results reveal promising predictive capabilities for real-world scenarios as well, exhibiting applicability. The proposed technique liberates data-driven curling stone trajectory prediction from sole reliance on analytical models and tackles key challenges of long sequence forecasting. The presented technologies and insights could also generalize to prediction tasks in other remote trajectories and multivariate time series domains.https://doi.org/10.1038/s41598-025-87933-5CurlingDeep learningCascade LSTMInter-layer memoryMultivariate time seriesMulti-step ahead prediction
spellingShingle Yanan Guo
Jing Jin
Hongyang Zhao
Yu Jiang
Dandan Li
Yi Shen
High-Precision prediction of curling trajectory multivariate time series using the novel CasLSTM approach
Scientific Reports
Curling
Deep learning
Cascade LSTM
Inter-layer memory
Multivariate time series
Multi-step ahead prediction
title High-Precision prediction of curling trajectory multivariate time series using the novel CasLSTM approach
title_full High-Precision prediction of curling trajectory multivariate time series using the novel CasLSTM approach
title_fullStr High-Precision prediction of curling trajectory multivariate time series using the novel CasLSTM approach
title_full_unstemmed High-Precision prediction of curling trajectory multivariate time series using the novel CasLSTM approach
title_short High-Precision prediction of curling trajectory multivariate time series using the novel CasLSTM approach
title_sort high precision prediction of curling trajectory multivariate time series using the novel caslstm approach
topic Curling
Deep learning
Cascade LSTM
Inter-layer memory
Multivariate time series
Multi-step ahead prediction
url https://doi.org/10.1038/s41598-025-87933-5
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