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    This study introduces the incremental trainable parameter selection (ITPS) algorithm to regularize deep learning training. ITPS gradually increases the model's effective degree-of-freedom (DoF) for optimal task performance.

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    Area of Science:

    • Machine Learning
    • Deep Learning
    • Artificial Intelligence

    Background:

    • Deep learning models often require regularization to prevent overfitting and improve generalization.
    • Stochastic Gradient Descent (SGD) is a common optimization algorithm for training deep learning models.
    • The concept of effective degree-of-freedom (DoF) offers a way to quantify model complexity.

    Purpose of the Study:

    • To explore the utilization of a deep learning model's effective degree-of-freedom (DoF) for regularization during SGD-based training.
    • To introduce a novel algorithm, incremental trainable parameter selection (ITPS), for governing the effective DoF.
    • To demonstrate ITPS as a task and data-dependent regularization mechanism.

    Main Methods:

    • The incremental trainable parameter selection (ITPS) algorithm is proposed as a wrapper over SGD.
    • ITPS incrementally selects parameters most sensitive to the training loss for updation.
    • This process gradually increases the model's effective DoF during training.

    Main Results:

    • The ITPS algorithm demonstrated regularization-like behavior through gradual DoF increment.
    • The algorithm achieved an optimum model configuration (DoF) for specific tasks.
    • ITPS showed general utility across various neural network architectures (CNNs, transformers, RNNs, MLPs).

    Conclusions:

    • The ITPS algorithm provides an effective, data-dependent regularization strategy for deep learning.
    • Gradually increasing the effective DoF of a model can enhance its performance and generalization.
    • ITPS is applicable to diverse deep learning tasks, including image classification and healthcare.