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Learning Symbolic Model-Agnostic Loss Functions via Meta-Learning.

Christian Raymond, Qi Chen, Bing Xue

    IEEE Transactions on Pattern Analysis and Machine Intelligence
    |July 11, 2023
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    Summary

    This study introduces a novel meta-learning framework for automatically discovering effective loss functions. The learned loss functions significantly enhance model performance across various tasks compared to standard methods.

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    Area of Science:

    • Machine Learning
    • Artificial Intelligence
    • Deep Learning

    Background:

    • Loss function design is critical for model performance in machine learning.
    • Current methods often rely on handcrafted loss functions, limiting optimization potential.
    • Loss function learning is an emerging field aiming to automate this process.

    Purpose of the Study:

    • To propose a novel meta-learning framework for learning model-agnostic loss functions.
    • To enhance supervised learning task performance through automated loss function discovery.
    • To validate the framework's versatility across diverse tasks and architectures.

    Main Methods:

    • A hybrid neuro-symbolic search approach is employed for loss function discovery.
    • Evolution-based methods are used to search for symbolic mathematical operations.
    • End-to-end gradient-based optimization refines the learned loss functions.

    Main Results:

    • Meta-learned loss functions outperform standard cross-entropy loss.
    • The proposed method surpasses existing state-of-the-art loss function learning techniques.
    • Superior performance is demonstrated across various neural network architectures and datasets.

    Conclusions:

    • The developed meta-learning framework effectively discovers high-performing, model-agnostic loss functions.
    • This approach offers a promising direction for improving machine learning model optimization.
    • The method shows broad applicability in supervised learning scenarios.