title: ÐÐµÐ·Ð¾Ð¿Ð°ÑÐ½ÑÐ¹ Ð°Ð½Ð°Ð»Ð¸Ð· Ð³ÐµÐ½Ð¾Ð¼Ð½ÑÑ Ð´Ð°Ð½Ð½ÑÑ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ Ð¿Ð¾ÑÑÐ¸ Ð³Ð¾Ð¼Ð¾Ð¼Ð¾ÑÑÐ½Ð¾Ð³Ð¾ ÑÐ¸ÑÑÐ¾Ð²Ð°Ð½Ð¸Ñ (somewhat homomorphic encryption)
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Secure genome data analysis using somewhat homomorphic encryption
Creators: name: ÐÐ¾Ð¿Ð¾Ð², ÐÐ²Ð°Ð½
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2023
Subjects: Ð³Ð¾Ð¼Ð¾Ð¼Ð¾ÑÑÐ½Ð¾Ðµ ÑÐ¸ÑÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
Ð¿Ð¾Ð»Ð½Ð¾Ð³ÐµÐ½Ð¾Ð¼Ð½ÑÐ¹ Ð¿Ð¾Ð¸ÑÐº Ð°ÑÑÐ¾ÑÐ¸Ð°ÑÐ¸Ð¹
SNP
Ð»Ð¾Ð³Ð¸ÑÑÐ¸ÑÐµÑÐºÐ°Ñ ÑÐµÐ³ÑÐµÑÑÐ¸Ñ
homomorphic encryption
genome-wide association studies
logistic regression

description: Ð¦ÐµÐ»ÑÑ ÑÐ°Ð±Ð¾ÑÑ ÑÐ²Ð»ÑÐµÑÑÑ ÑÐµÑÐµÐ½Ð¸Ðµ Ð·Ð°Ð´Ð°ÑÐ¸ Ð±ÐµÐ·Ð¾Ð¿Ð°ÑÐ½Ð¾Ð¹ Ð»Ð¾Ð³Ð¸ÑÑÐ¸ÑÐµÑÐºÐ¾Ð¹ ÑÐµÐ³ÑÐµÑÐ¸Ð¸ Ð½Ð°Ð´ SNP Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ Ð² Ð½ÐµÐºÐ¾ÑÐ¾ÑÐ¾Ð¹ ÑÑÐµÐ¿ÐµÐ½Ð¸ Ð³Ð¾Ð¼Ð¾Ð¼Ð¾ÑÑÐ½Ð¾Ð³Ð¾ ÑÐ¸ÑÑÐ¾Ð²Ð°Ð½Ð¸Ñ. ÐÑÐµÐ´Ð¼ÐµÑÐ¾Ð¼ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð±ÑÐ´ÐµÑ ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾ÑÑÑ ÑÑÐµÐ¼Ñ Ð² Ð½ÐµÐºÐ¾ÑÐ¾ÑÐ¾Ð¹ ÑÑÐµÐ¿ÐµÐ½Ð¸ Ð³Ð¾Ð¼Ð¾Ð¼Ð¾ÑÑÐ½Ð¾Ð³Ð¾ ÑÐ¸ÑÑÐ¾Ð²Ð°Ð½Ð¸Ñ CKKS, Ð·Ð°ÑÑÐ°ÑÑ Ð¿Ð¾ Ð¾Ð±ÑÐµÐ¼Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·ÑÐµÐ¼Ð¾Ð¹ Ð¿Ð°Ð¼ÑÑÐ¸ Ð¸ ÑÐºÐ¾ÑÐ¾ÑÑÐ¸ ÑÐ°Ð±Ð¾ÑÑ, Ð¿Ð¾Ð³ÑÐµÑÐ½Ð¾ÑÑÑ Ð¿ÑÐ¸ ÑÐµÑÐµÐ½Ð¸Ð¸ Ð·Ð°Ð´Ð°ÑÐ¸ Ð² Ð·Ð°ÑÐ¸ÑÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð¼ Ð²Ð¸Ð´Ðµ Ð¾ÑÐ½Ð¾ÑÐ¸ÑÐµÐ»ÑÐ½Ð¾ Ð½ÐµÐ·Ð°ÑÐ¸ÑÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð³Ð¾ Ð²Ð°ÑÐ¸Ð°Ð½ÑÐ°. ÐÐ°Ð´Ð°ÑÐ¸, ÑÐµÑÐ°ÐµÐ¼ÑÐµ Ð² ÑÐ¾Ð´Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ: A) ÐÐ·ÑÑÐµÐ½Ð¸Ðµ ÑÑÐµÐ¼Ñ Ð² Ð½ÐµÐºÐ¾ÑÐ¾ÑÐ¾Ð¹ ÑÑÐµÐ¿ÐµÐ½Ð¸ Ð³Ð¾Ð¼Ð¾Ð¼Ð¾ÑÑÐ½Ð¾Ð³Ð¾ ÑÐ¸ÑÑÐ¾Ð²Ð°Ð½Ð¸Ñ CKKS B) Ð ÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ñ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° Ð»Ð¾Ð³Ð¸ÑÑÐ¸ÑÐµÑÐºÐ¾Ð¹ ÑÐµÐ³ÑÐµÑÑÐ¸Ð¸ Ð½Ð°Ð´ SNP Ñ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸ÐµÐ¼ Ð² Ð½ÐµÐºÐ¾ÑÐ¾ÑÐ¾Ð¹ ÑÑÐµÐ¿ÐµÐ½Ð¸ Ð³Ð¾Ð¼Ð¾Ð¼Ð¾ÑÑÐ½Ð¾Ð³Ð¾ ÑÐ¸ÑÑÐ¾Ð²Ð°Ð½Ð¸Ñ C) ÐÑÐ¾ÑÐ¸Ð»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÑÐµÑÐµÐ½Ð¸Ñ Ð¸ Ð·Ð°Ð¼ÐµÑ Ð¼ÐµÑÑÐ¸Ðº ÐºÐ°ÑÐµÑÑÐ²Ð°Â  Ð ÑÐ¾Ð´Ðµ ÑÐ°Ð±Ð¾ÑÑ Ð±ÑÐ»Ð° Ð¸Ð·ÑÑÐµÐ½Ð° ÑÑÐµÐ¼Ð° Ð² Ð½ÐµÐºÐ¾ÑÐ¾ÑÐ¾Ð¹ ÑÑÐµÐ¿ÐµÐ½Ð¸ Ð³Ð¾Ð¼Ð¾Ð¼Ð¾ÑÑÐ½Ð¾Ð³Ð¾ ÑÐ¸ÑÑÐ¾Ð²Ð°Ð½Ð¸Ñ CKKS, ÑÐµÐ°Ð»Ð¸Ð·Ð¾Ð²Ð°Ð½ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼ Ð±ÐµÐ·Ð¾Ð¿Ð°ÑÐ½Ð¾Ð¹ Ð»Ð¾Ð³Ð¸ÑÑÐ¸ÑÐµÑÐºÐ¾Ð¹ ÑÐµÐ³ÑÐµÑÑÐ¸Ð¸ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ Ð² Ð½ÐµÐºÐ¾ÑÐ¾ÑÐ¾Ð¹ ÑÑÐµÐ¿ÐµÐ½Ð¸ Ð³Ð¾Ð¼Ð¾Ð¼Ð¾ÑÑÐ½Ð¾Ð³Ð¾ ÑÐ¸ÑÑÐ¾Ð²Ð°Ð½Ð¸Ñ. Ð ÐµÐ°Ð»Ð¸Ð·Ð¾Ð²Ð°Ð½Ñ Ð¾Ð¿ÐµÑÐ°ÑÐ¸Ð¸, ÑÑÐºÐ¾ÑÑÑÑÐ¸Ðµ ÑÐ°Ð±Ð¾ÑÑ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð°. ÐÐ»Ð³Ð¾ÑÐ¸ÑÐ¼ Ð¿ÑÐ¾ÑÐµÑÑÐ¸ÑÐ¾Ð²Ð°Ð½ Ð½Ð° Ð½ÐµÑÐºÐ¾Ð»ÑÐºÐ¸Ñ Ð½Ð°Ð±Ð¾ÑÐ°Ñ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð² Ð¸ ÐºÐ¾Ð½ÑÐ¸Ð³ÑÑÐ°ÑÐ¸ÑÑ Ð´Ð°Ð½Ð½ÑÑ. ÐÑÐ»Ð¸ Ð¿ÑÐ¸Ð²ÐµÐ´ÐµÐ½Ñ Ð´Ð°Ð»ÑÐ½ÐµÐ¹ÑÐ¸Ðµ Ð½Ð°Ð¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ¸ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð°. Ð¡Ð´ÐµÐ»Ð°Ð½ Ð²ÑÐ²Ð¾Ð´ Ð¾ Ð½ÐµÐ¿Ð¾Ð´Ð³Ð¾ÑÐ¾Ð²Ð»ÐµÐ½Ð½Ð¾ÑÑÐ¸ Ðº ÑÐµÑÐµÐ½Ð¸Ñ Ð·Ð°Ð´Ð°ÑÐ¸ Ð»Ð¾Ð³Ð¸ÑÑÐ¸ÑÐµÑÐºÐ¾Ð¹ ÑÐµÐ³ÑÐµÑÑÐ¸Ð¸ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ Ð³Ð¾Ð¼Ð¾Ð¼Ð¾ÑÑÐ½Ð¾Ð³Ð¾ ÑÐ¸ÑÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð² Ð¿ÑÐ°ÐºÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸ÑÑ.
description: The purpose of the study is securely solving logistic regression problem with SNP data using somewhat homomorphic encryption. The subject of the work is the effectiveness of CKKS somewhat homomorphic encryption scheme, its memory usage and performance as well as error compared to solving the problem without homomorphic encryption. The research set the following goals: A) Studying CKKS somewhat homomorphic encryption scheme B) Implementing logistic regression algorithm with SNP data using somewhat homomorphic encryption C) Benchmarking the solution During the work CKKS somewhat homomorphic encryption scheme was studied. Algorithm of secure logistic regression using somewhat homomorphic encryption was implemented as well as several algorithm optimizations. Algorithm was tested on different sets of parameters and data. Further development directions were suggested. The study point to conclusion that securely solving the problem of logistic regression using homomorphic encryption in real studies is not possible at the moment.