• Title/Summary/Keyword: Composite Minimax Polynomial

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The Impact of Various Degrees of Composite Minimax ApproximatePolynomials on Convolutional Neural Networks over Fully HomomorphicEncryption (다양한 차수의 합성 미니맥스 근사 다항식이 완전 동형 암호 상에서의 컨볼루션 신경망 네트워크에 미치는 영향)

  • Junghyun Lee;Jong-Seon No
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.33 no.6
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    • pp.861-868
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    • 2023
  • One of the key technologies in providing data analysis in the deep learning while maintaining security is fully homomorphic encryption. Due to constraints in operations on fully homomorphically encrypted data, non-arithmetic functions used in deep learning must be approximated by polynomials. Until now, the degrees of approximation polynomials with composite minimax polynomials have been uniformly set across layers, which poses challenges for effective network designs on fully homomorphic encryption. This study theoretically proves that setting different degrees of approximation polynomials constructed by composite minimax polynomial in each layer does not pose any issues in the inference on convolutional neural networks.