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    This study introduces a novel approach for heterogeneous trajectory prediction, enhancing AI capabilities beyond simple paths. The method effectively models complex interactions across diverse trajectory forms, improving forecasting accuracy.

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    Area of Science:

    • Artificial Intelligence
    • Computer Vision
    • Machine Learning

    Background:

    • Trajectory prediction is expanding to complex, heterogeneous data forms like human skeletons and bounding boxes.
    • Existing methods often overlook complex interactions within these diverse trajectory dimensions.
    • The need for advanced AI techniques to handle multi-dimensional trajectory forecasting is growing.

    Purpose of the Study:

    • To extend trajectory prediction to handle heterogeneous trajectories of varying dimensions (M).
    • To introduce a novel framework that models complex dimension-wise interactions.
    • To improve forecasting accuracy for diverse trajectory types using AI.

    Main Methods:

    • Introduced trajectory dimensionality (M) to generalize the prediction task.
    • Utilized Haar transform for capturing time-frequency properties across trajectory dimensions.
    • Employed a bilinear structure to model time-frequency responses and dimension-wise interactions simultaneously.
    • Developed a hierarchical forecasting approach using trajectory spectrums.

    Main Results:

    • The proposed model demonstrates superior performance on benchmark datasets (ETH-UCY, SDD, nuScenes, Human3.6M).
    • Achieved state-of-the-art results in predicting heterogeneous trajectories, including 2D coordinates, bounding boxes, and 3D human skeletons.
    • Effectively captured and leveraged dimension-wise interactions for improved prediction.

    Conclusions:

    • The generalized trajectory prediction framework successfully addresses heterogeneous data.
    • The Haar transform and bilinear structure provide an effective way to model complex interactions.
    • This work advances AI in trajectory forecasting for complex, real-world scenarios.