Stochastic rounding: implementation, error analysis and applications

Stochastic rounding (SR) randomly maps a real number x to one of the two nearest values in a finite precision number system. The probability of choosing either of these two numbers is 1 minus their relative distance to x. This rounding mode was first proposed for use in computer arithmetic in the 19...

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Bibliographic Details
Main Authors: Matteo Croci, Massimiliano Fasi, Nicholas J. Higham, Theo Mary, Mantas Mikaitis
Format: Article
Language:English
Published: The Royal Society 2022-03-01
Series:Royal Society Open Science
Subjects:
Online Access:https://royalsocietypublishing.org/doi/10.1098/rsos.211631