Mikaitis, M. orcid.org/0000-0001-8706-1436 (2024) MATLAB Simulator of Level-Index Arithmetic. In: 2024 IEEE 31st Symposium on Computer Arithmetic (ARITH). 2024 IEEE 31st Symposium on Computer Arithmetic (ARITH), 10-12 Jun 2024, Málaga. IEEE , pp. 68-71. ISBN 979-8-3503-8433-8
Abstract
Level-index arithmetic appeared in the 1980s. One of its principal purposes is to abolish the issues caused by underflows and overflows in floating point. However, level-index arithmetic does not expand the set of numbers but spaces out the numbers of large magnitude even more than floating-point representations to move the infinities further away from zero: gaps between numbers on both ends of the range become very large. We revisit level index by presenting a custom precision simulator in MATLAB. This toolbox is useful for exploring performance of level-index arithmetic in research projects, such as using 8-bit and 16-bit representations in machine learning algorithms where narrow bit-width is desired but overflow/underflow of floating-point representations causes difficulties.
Metadata
Item Type: | Proceedings Paper |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2024 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Computing (Leeds) > Computation Science & Engineering |
Depositing User: | Symplectic Publications |
Date Deposited: | 29 Apr 2024 12:12 |
Last Modified: | 31 Jul 2024 04:11 |
Published Version: | https://ieeexplore.ieee.org/document/10579434 |
Status: | Published |
Publisher: | IEEE |
Identification Number: | 10.1109/ARITH61463.2024.00020 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:211995 |