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    A new Gaussian-based softmax (G-softmax) function enhances feature discriminability by improving intraclass compactness and interclass separability. This method boosts performance on various image classification tasks, correlating with better average precision.

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    Area of Science:

    • Computer Science
    • Machine Learning
    • Artificial Intelligence

    Background:

    • Intraclass compactness and interclass separability are key metrics for evaluating feature discriminability in machine learning models.
    • Convolutional networks learn features, but optimizing these metrics remains a challenge for improving model performance.

    Purpose of the Study:

    • To investigate intraclass compactness and interclass separability of features learned by convolutional networks.
    • To propose a novel Gaussian-based softmax (G-softmax) function to enhance these crucial feature properties.

    Main Methods:

    • Developed and implemented a Gaussian-based softmax (G-softmax) function as a replacement for the standard softmax function.
    • Evaluated the G-softmax function on diverse datasets including CIFAR-10, CIFAR-100, Tiny ImageNet, MS COCO, and NUS-WIDE.

    Main Results:

    • The G-softmax function significantly improved state-of-the-art model performance across all tested classification and multi-label classification datasets.
    • Analysis confirmed that G-softmax enhances both intraclass compactness and interclass separability compared to the standard softmax.
    • A strong linear correlation was observed between high intraclass compactness, interclass separability, and improved average precision on MS COCO and NUS-WIDE datasets.

    Conclusions:

    • The proposed G-softmax function effectively improves feature discriminability by enhancing intraclass compactness and interclass separability.
    • The improvements in feature discriminability directly translate to superior performance in image classification tasks.
    • Optimizing intraclass compactness and interclass separability is a viable strategy for boosting model accuracy, particularly in multi-label classification scenarios.