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Computer Science > Mathematical Software
Title: MATLAB Simulator of Level-Index Arithmetic
(Submitted on 3 Feb 2024 (v1), last revised 26 Apr 2024 (this version, v2))
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.
Submission history
From: Mantas Mikaitis [view email][v1] Sat, 3 Feb 2024 23:49:08 GMT (21kb)
[v2] Fri, 26 Apr 2024 16:09:10 GMT (21kb)
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