Results 21 to 30 of about 27,297,467 (168)
A Note on the Perturbation of arithmetic expressions
In this paper we present the theoretical foundation of forward error analysis of numerical algorithms under;• Approximations in "built-in" functions.• Rounding errors in arithmetic floating-point operations.• Perturbations of data.The error analysis is ...
Baghdad Science Journal
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Stochastic Rounding: Implementation, Error Analysis, and Applications [PDF]
Stochastic rounding randomly maps a real number to one of the two nearest values in a finite precision number system. First proposed for use in computer arithmetic in the 1950s, it is attracting renewed interest.
Mary, Theo +4 more
core
ANALYSIS OF ROUND OFF ERRORS WITH REVERSIBILITY TEST AS A DYNAMICAL INDICATOR [PDF]
We compare the divergence of orbits and the reversibility error for discrete time dynamical systems. These two quantities are used to explore the behavior of the global error induced by round off in the computation of orbits. The similarity of results found for any system we have analyzed suggests the use of the reversibility error, whose computation ...
Davide Faranda +2 more
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Relative distance—an error measure in round-off error analysis [PDF]
Olver ( SIAM J. Numer. Anal. , v. 15, 1978, pp. 368-393) suggested relative precision as an attractive substitute for relative error in round-off error analysis. He remarked that in certain respects the error measure
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Randomized Low Rank Matrix Approximation: Rounding Error Analysis and a Mixed Precision Algorithm [PDF]
The available error bounds for randomized algorithms for computing a low rank approximation to a matrix assume exact arithmetic. Rounding errors potentially dominate the approximation error, though, especially when the algorithms are run in low precision
Connolly, Michael P. +2 more
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The R Package hmi: A Convenient Tool for Hierarchical Multiple Imputation and Beyond
Applications of multiple imputation have long outgrown the traditional context of dealing with item nonresponse in cross-sectional data sets. Nowadays multiple imputation is also applied to impute missing values in hierarchical data sets, address ...
Matthias Speidel +2 more
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Design and Implementation of a System-on-Chip for Self-Calibration of an Angular Position Sensor
In this study, a novel signal processing algorithm and hardware processing circuit for the self-calibration of angular position sensors is proposed. To calibrate error components commonly found in angular position sensors, a parameter identification ...
Zhenyi Gao +6 more
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A machine learningsemi-supervised method was developed for the classification analysis of defects on the surface of the sewer pipe based on CCTV video inspection images.
В’ячеслав Васильович Москаленко +4 more
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Models and training methods for water-level classification analysis on the footage of sewage pipe inspections have been developed and investigated. The object of the research is the process of water-level recognition, considering the spatial and temporal
В’ячеслав Васильович Москаленко +6 more
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Background The Visual Analog Scale (VAS) has been extensively used in the valuation of health-related quality of life (HRQL). The objective of this paper is to examine the measurement error (rounding) explanation for the higher prevalence of VAS scores ...
Shmueli Amir
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