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    This study introduces novel tensor representations, sequence compatibility kernel (SCK) and dynamics compatibility kernel (DCK), for advanced human action recognition. These methods effectively capture complex spatio-temporal relationships for improved accuracy in video analysis.

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    Area of Science:

    • Computer Science
    • Artificial Intelligence
    • Machine Learning

    Background:

    • Human action recognition in videos is challenging due to complex spatio-temporal feature interactions.
    • Existing methods may not fully capture higher-order relationships crucial for fine-grained recognition.

    Purpose of the Study:

    • To propose novel tensor representations for compact and effective capturing of higher-order relationships in visual features for action recognition.
    • To introduce sequence compatibility kernel (SCK) and dynamics compatibility kernel (DCK) for modeling spatio-temporal correlations and action dynamics.
    • To explore a generalized SCK (SCK ⊕) for multi-modal inputs and local-global correlation interplay.

    Main Methods:

    • Developed two tensor-based feature representations: SCK and DCK.
    • Introduced SCK ⊕, a generalization of SCK operating on subsequences for multi-modal data (e.g., 3D skeleton joints, deep learning scores).
    • Linearized kernels for compact and efficient descriptors, utilizing higher-order tensors and Eigenvalue Power Normalization (EPN).

    Main Results:

    • Demonstrated the effectiveness of tensor representations on 3D skeleton action sequences, fine-grained video sequences, and standard videos.
    • Showcased that the proposed tensor representations, coupled with EPN, detect higher-order feature occurrences for robust fine-grained recognition.
    • Proved that the tensor-based approach with EPN acts as a Tensor Power Normalization metric for detecting specific higher-order relationships.

    Conclusions:

    • Novel tensor representations (SCK, DCK, SCK ⊕) offer a powerful framework for human action recognition.
    • The proposed methods effectively capture complex spatio-temporal dynamics and higher-order feature relationships.
    • Eigenvalue Power Normalization enhances the detection of fine-grained action patterns, outperforming simple feature counting.