Results 11 to 20 of about 197,009 (283)

Stochastic Rounding and Its Probabilistic Backward Error Analysis [PDF]

open access: yesSIAM Journal on Scientific Computing, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Connolly, Michael   +2 more
openaire   +5 more sources

A Higher-Order Extended Cubature Kalman Filter Method Using the Statistical Characteristics of the Rounding Error of the System Model

open access: yesMathematics
The cubature Kalman filter (CKF) cannot accurately estimate the nonlinear model, and these errors will have an impact on the accuracy. In order to improve the filtering performance of the CKF, this paper proposes a new CKF method to improve the ...
Haiyang Zhang, Chenglin Wen
doaj   +3 more sources

An Improved Magnetic Field Method to Locate the Grounding Conductor

open access: yesSensors, 2023
The location of the grounding grid conductors is critical for performing corrosion diagnosis and maintenance work. An improved magnetic field differential method to locate the unknown grounding grid based on truncation errors and the round-off errors ...
Fan Yang   +4 more
doaj   +1 more source

Statistical Analysis of Rounded Data: Measurement Errors vs Rounding Errors [PDF]

open access: yesJournal of Mathematical Sciences, 2018
Consider the measurements in which the discretization step is constant and without loss of generality is equal to 1. The measured value \(X\) is rounded to the closest integer \(X^*\) according to the rule \(X^*=[X+0.5]\) where \([x]\) is the integer part of \(x\). Measurements of the quantity \(\mu\) are considered as i.i.d. random samples \(X_1,\dots,
Ushakov, Nikolai, Ushakov, Vladimir G.
openaire   +2 more sources

Computer Technology for Construction ε-Solution of the Problem

open access: yesКібернетика та комп'ютерні технології, 2023
Introduction. Issues of selection and construction of computing resources and methods of their effective use to calculate an approximate solution of the problem with the given accuracy in a limited processor time are considered.
Valerii Zadiraka, Inna Shvidchenko
doaj   +1 more source

Models of Computer Calculations

open access: yesКібернетика та комп'ютерні технології, 2022
Introduction. The complexity of computational algorithms for solving typical problems of computational, applied, and discrete mathematics is analyzed from the perspective of the theory of computation, depending on the computer architecture and the used ...
Valerii Zadiraka   +2 more
doaj   +1 more source

Parallel Algorithm for Solving Overdetermined Systems of Linear Equations, Taking into Account Round-Off Errors

open access: yesAlgorithms, 2023
The paper proposes a parallel algorithm for solving large overdetermined systems of linear algebraic equations with a dense matrix. This algorithm is based on the use of a modification of the conjugate gradient method, which is able to take into account ...
Dmitry Lukyanenko
doaj   +1 more source

Symmetric and Asymmetric Rounding [PDF]

open access: yes, 2006
If rounded data are used in estimating moments and regression coefficients, the estimates are typically more or less biased. The purpose of the paper is to study the bias inducing effect of rounding, which is also seen when population moments instead of ...
Ahmad, A.   +2 more
core   +2 more sources

Unbiased Rounding for HUB Floating-point Addition [PDF]

open access: yes, 2018
Copyright (c) 2018 IEEE doi:10.1109/TC.2018.2807429Half-Unit-Biased (HUB) is an emerging format based on shifting the represented numbers by half Unit in the Last Place.
Gonzalez-Navarro, Sonia   +2 more
core   +1 more source

Goldilocks Rounding: Achieving Balance Between Accuracy and Parsimony in the Reporting of Relative Effect Estimates

open access: yesCancer 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
doaj   +1 more source

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