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A slider-crank mechanism converts rotational motion from the crank into linear motion of the slider or vice versa. This mechanism consists of three main parts: the crank, the connecting rod, and the slider. The movement of the slider-crank is an example of general plane motion as the fluctuating angle between the crank and the connecting rod. Consider a segment AB where point A is at the end of the slider and point B is on the diametrically opposite end to point A, on a crack. The variance in...
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A Gravity-Informed Spatiotemporal Transformer for Human Activity Intensity Prediction.

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    This study introduces Gravityformer, a physics-informed deep learning model that uses the law of gravitation to improve human activity intensity prediction by addressing spatial interaction limitations and over-smoothing. The model enhances accuracy and interpretability in location-based services.

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    Area of Science:

    • Artificial Intelligence
    • Geospatial Science
    • Physics

    Background:

    • Human activity intensity prediction is vital for location-based services.
    • Existing models often neglect physical spatial interaction constraints, causing issues like over-smoothing and uninterpretable correlations.
    • There is a need for more interpretable and physically grounded spatiotemporal prediction models.

    Purpose of the Study:

    • To propose a novel physics-informed deep learning framework, Gravityformer, for human activity intensity prediction.
    • To integrate the universal law of gravitation into transformer attention mechanisms to refine spatial interaction modeling.
    • To address limitations of existing methods, including uninterpretable spatial correlations and the over-smoothing phenomenon.

    Main Methods:

    • Developed a physics-informed deep learning framework, Gravityformer, integrating the universal law of gravitation.
    • Estimated spatially explicit mass parameters using spatiotemporal embedding features.
    • Modeled spatial interaction via an adaptive gravity model within an end-to-end neural network.
    • Utilized learned spatial interactions to mitigate over-smoothing in transformer attention.
    • Proposed a parallel spatiotemporal graph convolution transformer for balanced spatial-temporal learning.

    Main Results:

    • Gravityformer demonstrated quantitative and qualitative superiority over state-of-the-art benchmarks across six real-world datasets.
    • The learned gravity attention matrix showed interpretability based on geographical laws.
    • The model improved generalization capabilities in zero-shot cross-region inference.
    • Successfully mitigated the over-smoothing phenomenon in spatiotemporal prediction.

    Conclusions:

    • Integrating physical laws, specifically the law of gravitation, with deep learning offers a novel approach for spatiotemporal prediction.
    • Gravityformer provides a more interpretable and physically grounded method for human activity intensity prediction.
    • The framework enhances the accuracy and generalization of location-based services by refining spatial interaction modeling.