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Stochastic rounding: implementation, error analysis and applications
Royal Society Open Science, 2022 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.
Matteo Croci +4 more
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Epidemiology of Rounding Error [PDF]
MedicinaThis work represents a significant contribution to understanding the importance of appropriately rounding numbers with minimal error. That is, to reduce inexact rounding and data truncation error and simultaneously eliminate unintentional misleading ...
Jimmy T. Efird
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Rounding errors and index numbers [PDF]
, 1991 Economic indicators ; Consumer price indexes ; Time-series ...
Thomas A. Gittings
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Over-deterministic method: The influence of rounding numbers on the accuracy of the values of Williams’ expansion terms [PDF]
Fracture and Structural Integrity, 2017 A study on the accuracy of the values of Williams’ expansion terms influenced by rounding numbers is presented. The results are presented taking into account a three-point bend single edge notched beam.
Vladimir Ruzicka +2 more
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Cancer Informatics, 2021 Researchers often report a measure to several decimal places more than what is sensible or realistic. Rounding involves replacing a number with a value of lesser accuracy while minimizing the practical loss of validity.
Jimmy T Efird
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Rounding, stipulation and notation issues in measurement [PDF]
International Journal of Metrology and Quality Engineering, 2013 In the context of measurement and of the definition of measurement units, a problem well known in computing science, the inherent propagation and accumulation of rounding errors throughout the intermediate steps of numerical calculation, is discussed in ...
Pavese F.
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A Rigorous Extension of the Schönhage-Strassen Integer Multiplication Algorithm Using Complex Interval Arithmetic [PDF]
Electronic Proceedings in Theoretical Computer Science, 2010 Multiplication of n-digit integers by long multiplication requires O(n^2) operations and can be time-consuming. In 1970 A. Schoenhage and V. Strassen published an algorithm capable of performing the task with only O(n log(n)) arithmetic operations over ...
Thomas Steinke, Raazesh Sainudiin
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Journal of Advances in Modeling Earth Systems, 2022 Most Earth‐system simulations run on conventional central processing units in 64‐bit double precision floating‐point numbers Float64, although the need for high‐precision calculations in the presence of large uncertainties has been questioned.
Milan Klöwer +4 more
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Heaping at Round Numbers on Financial Questions: The Role of Satisficing
Survey Research Methods, 2017 Survey responses to quantitative financial questions frequently display strong patterns of heaping at round numbers. This paper uses two studies to examine variation in rounding across questions and by individual characteristics. Rounding was more common
Michael Gideon +2 more
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Numerical behavior of NVIDIA tensor cores [PDF]
PeerJ Computer Science, 2021 We explore the floating-point arithmetic implemented in the NVIDIA tensor cores, which are hardware accelerators for mixed-precision matrix multiplication available on the Volta, Turing, and Ampere microarchitectures.
Massimiliano Fasi +3 more
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