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Image Credit: Arxiv

A Training Framework for Optimal and Stable Training of Polynomial Neural Networks

  • A new training framework has been introduced for training Polynomial Neural Networks (PNNs) effectively, crucial for privacy-preserving inference via Homomorphic Encryption.
  • The framework addresses challenges such as limited model expressivity with low-degree polynomials and numerical instability with high-degree polynomials.
  • Key innovations in the framework include a Boundary Loss that penalizes activation inputs outside a stable range and Selective Gradient Clipping to manage gradient magnitudes.
  • The framework enables training of PNNs with polynomial degrees up to 22, showcasing stable training, strong performance, and compatibility with Homomorphic Encryption across various datasets.

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