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    This study introduces a novel Compressed Sensing based Output Encoding (CSOE) method for accurate crowd counting and localization. CSOE improves deep model robustness and achieves state-of-the-art results, especially in dense crowd scenes.

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    Area of Science:

    • Computer Vision
    • Machine Learning
    • Signal Processing

    Background:

    • Accurate crowd location is crucial for identifying high-risk areas in crowd scene analysis.
    • Existing methods struggle with precise localization in highly crowded environments.

    Purpose of the Study:

    • To propose a novel Compressed Sensing based Output Encoding (CSOE) scheme for improved crowd counting and localization.
    • To enhance the robustness of deep models against training errors in crowd analysis.

    Main Methods:

    • Developed a CSOE scheme that reframes pixel coordinate detection as signal regression in an encoding space.
    • Derived a novel sparse reconstruction backpropagation rule to prevent gradient vanishing and enable end-to-end training.
    • Validated the method on four mainstream crowd analysis datasets.

    Main Results:

    • Achieved state-of-the-art performance across all tested datasets.
    • Demonstrated superior results in highly crowded scenes compared to traditional pixel-space detection.
    • Showcased increased robustness to deep model training errors.

    Conclusions:

    • Regression in CSOE space is more effective than pixel-space detection for highly crowded scenes.
    • The proposed CSOE scheme and backpropagation rule offer a robust and accurate solution for crowd counting and localization.