[Resource Topic] 2022/423: Polynomial Approximation of Inverse sqrt Function for FHE

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Title:
Polynomial Approximation of Inverse sqrt Function for FHE

Authors: Samanvaya Panda

Abstract:

Inverse sqrt and sqrt function have numerous applications in linear algebra and machine learning such as vector normalisation, eigenvalue computation, dimensionality reduction, clustering, etc. This paper presents a method to approximate and securely perform the inverse sqrt function using CKKS homomorphic encryption scheme. Since the CKKS homomorphic scheme allows only computation of polynomial functions, we propose a method to approximate the inverse sqrt function polynomially. In the end, we provide an implementation of our method for the inverse sqrt function.

ePrint: https://eprint.iacr.org/2022/423

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