An Approximate Algorithm for Determining the Sign Function of a Number Using Neural Network Methods

Determining the sign of a number is not as simple as addition and multiplication. When using the traditional notation of a number in binary form with two's complement code, it allows you to store the sign of the number and process it. However, when representing a number in modular form, or in a...

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主要な著者:	Shiriaev, E. M., Ширяев, Е. М., Lutsenko, V. V., Луценко, В. В., Babenko, M. G., Бабенко, М. Г.
フォーマット:	Статья
言語:	English
出版事項:	Springer Science and Business Media Deutschland GmbH 2024
主題:	Homomorphic encryption Sign function Residue number system (RNS) Neural networks
オンライン･アクセス:	https://dspace.ncfu.ru/handle/123456789/29356
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spelling	ir-123456789-293562024-12-11T08:29:15Z An Approximate Algorithm for Determining the Sign Function of a Number Using Neural Network Methods Shiriaev, E. M. Ширяев, Е. М. Lutsenko, V. V. Луценко, В. В. Babenko, M. G. Бабенко, М. Г. Homomorphic encryption Sign function Residue number system (RNS) Neural networks Determining the sign of a number is not as simple as addition and multiplication. When using the traditional notation of a number in binary form with two's complement code, it allows you to store the sign of the number and process it. However, when representing a number in modular form, or in any other forms, for example, in the form of a homomorphic cipher, where the operation of determining the sign cannot be performed explicitly. In such cases, it is necessary to resort to various computationally complex methods. In this work, we are conducting research on the possibility of using neural networks to calculate an approximate function of the sign of a number, this will reduce the computational costs of traditional approaches to determining the sign. 2024-12-11T08:28:17Z 2024-12-11T08:28:17Z 2024 Статья Shiriaev, E., Lutsenko, V., Babenko, M. An Approximate Algorithm for Determining the Sign Function of a Number Using Neural Network Methods // Lecture Notes in Networks and Systems. - 2025. - 1207 LNNS. - pp. 247-255. - DOI: 10.1007/978-3-031-77229-0_25 https://dspace.ncfu.ru/handle/123456789/29356 en Lecture Notes in Networks and Systems application/pdf Springer Science and Business Media Deutschland GmbH
institution	СКФУ
collection	Репозиторий
language	English
topic	Homomorphic encryption Sign function Residue number system (RNS) Neural networks
spellingShingle	Homomorphic encryption Sign function Residue number system (RNS) Neural networks Shiriaev, E. M. Ширяев, Е. М. Lutsenko, V. V. Луценко, В. В. Babenko, M. G. Бабенко, М. Г. An Approximate Algorithm for Determining the Sign Function of a Number Using Neural Network Methods
description	Determining the sign of a number is not as simple as addition and multiplication. When using the traditional notation of a number in binary form with two's complement code, it allows you to store the sign of the number and process it. However, when representing a number in modular form, or in any other forms, for example, in the form of a homomorphic cipher, where the operation of determining the sign cannot be performed explicitly. In such cases, it is necessary to resort to various computationally complex methods. In this work, we are conducting research on the possibility of using neural networks to calculate an approximate function of the sign of a number, this will reduce the computational costs of traditional approaches to determining the sign.
format	Статья
author	Shiriaev, E. M. Ширяев, Е. М. Lutsenko, V. V. Луценко, В. В. Babenko, M. G. Бабенко, М. Г.
author_facet	Shiriaev, E. M. Ширяев, Е. М. Lutsenko, V. V. Луценко, В. В. Babenko, M. G. Бабенко, М. Г.
author_sort	Shiriaev, E. M.
title	An Approximate Algorithm for Determining the Sign Function of a Number Using Neural Network Methods
title_short	An Approximate Algorithm for Determining the Sign Function of a Number Using Neural Network Methods
title_full	An Approximate Algorithm for Determining the Sign Function of a Number Using Neural Network Methods
title_fullStr	An Approximate Algorithm for Determining the Sign Function of a Number Using Neural Network Methods
title_full_unstemmed	An Approximate Algorithm for Determining the Sign Function of a Number Using Neural Network Methods
title_sort	approximate algorithm for determining the sign function of a number using neural network methods
publisher	Springer Science and Business Media Deutschland GmbH
publishDate	2024
url	https://dspace.ncfu.ru/handle/123456789/29356
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An Approximate Algorithm for Determining the Sign Function of a Number Using Neural Network Methods

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