The proposed pipeline integrates a probabilistic attention approach. حسب Dong Wang (73290)

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Comparison of predicted vs. actual natural gas production (December 29, 2023–January 25, 2024), illustrating the model’s ability to continuously predict cross-year production data,... حسب Dong Wang (73290)

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Performance of the model in natural gas production prediction after adding Gaussian noise. حسب Dong Wang (73290)

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Comparison of predicted vs. actual natural gas production (August 29–September 25, 2023), with predictive performance under high-temperature conditions verifying the model’s enviro... حسب Dong Wang (73290)

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Ablation study on feature importance for prediction performance. حسب Dong Wang (73290)

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Comparison results between the state-of-the-art algorithms and the proposed deep learning models for natural gas production in terms of RMSE and MAPE. حسب Dong Wang (73290)

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The hyper-parameter settings used in this study. حسب Dong Wang (73290)

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Comparison of predicted vs. actual natural gas production (July 29–August 29, 2023), maintaining consistency in long-sequence predictions to provide a basis for equipment maintenan... حسب Dong Wang (73290)

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Performance of the model in liquid level detection after adding Gaussian noise. حسب Dong Wang (73290)

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Comparison results between the state-of-the-art algorithms and the proposed deep learning models for liquid level detection in terms of Accuracy. حسب Dong Wang (73290)

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Comparison of predicted vs. actual natural gas production (October 29–November 25, 2023), with a low prediction error during the stable autumn production period. حسب Dong Wang (73290)

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The architecture of the proposed model by integrating Bi-LSTM and Informer. حسب Dong Wang (73290)

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Performance comparison of original and extended models. حسب Dong Wang (73290)

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Comparison of predicted vs. actual natural gas production (January 25–February 25, 2024), with low deviation in low-temperature environments verifying the model’s stability under e... حسب Dong Wang (73290)

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Performance comparison of different model configurations in ablation studies. حسب Dong Wang (73290)

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Comparison of predicted vs. actual natural gas production (June 29–July 29, 2023), with low deviation in the early testing phase laying the foundation for the model’s subsequent ap... حسب Dong Wang (73290)

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Comparison of predicted vs. actual natural gas production (March 25–April 25, 2024), demonstrating the model’s prediction accuracy during spring production peaks, which is valuable... حسب Dong Wang (73290)

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The attention map of the proposed approach on one batch of the manually collected dataset. حسب Dong Wang (73290)

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Comparison of predicted vs. actual natural gas production (November 29–December 25, 2023), accurately reflecting the production trend driven by increased winter heating demand. حسب Dong Wang (73290)

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Comparison of predicted vs. actual natural gas production (September 29–October 25, 2023), demonstrating precise capture of minor production fluctuations, facilitating refined prod... حسب Dong Wang (73290)

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