Results 1 to 10 of about 175,165 (277)
Stochastic rounding: implementation, error analysis and applications [PDF]
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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Stochastic Rounding and Its Probabilistic Backward Error Analysis [PDF]
SIAM Journal on Scientific Computing, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Connolly, Michael +2 more
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Probabilistic Rounding Error Analysis of Householder QR Factorization [PDF]
SIAM Journal on Matrix Analysis and Applications, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Michael P. Connolly, Nicholas J. Higham
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Project-led Engineering Education : assessment model and rounding errors analysis [PDF]
, 2009 This paper presents an analysis of the assessment model used in an interdisciplinary Project-Led Education (PLE) process implemented in the Integrated Master Course on Industrial Management and Engineering (IME) at University of Minho.
Alves, Anabela Carvalho +4 more
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Design and Implementation of Multithreaded Reproducible DGEMV for Phytium Processor [PDF]
Jisuanji kexue, 2022 In high-performance computing,the accumulation of rounding error in the process of solving the large-scale,long time and ill-conditioned problem will lead to invalidated results.These results are useful for the developers to debug programs and check ...
CHEN Lei, TANG Tao, QI Hai-jun, JIANG Hao, HE Kang
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Sensors, 2022 Multi-robot motion and observation generally have nonlinear characteristics; in response to the problem that the existing extended Kalman filter (EKF) algorithm used in robot position estimation only considers first-order expansion and ignores the higher-
Miao Wang, Weifeng Liu, Chenglin Wen
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Analysis and application of real-time compensation of positioning precision of the turntable with a harmonic function [PDF]
Metrology and Measurement Systems, 2022 In order to guarantee the accuracy of turntable angle measurement, a real-time compensation method for turntable positioning precision based on harmonic analysis is proposed in this paper.
Yi Zhou +5 more
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Statistical Analysis of Rounded Data: Measurement Errors vs Rounding Errors [PDF]
Journal 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.
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Algorithm for Calculating Primary Spectral Density Estimates Using FFT and Analysis of its Accuracy
Кібернетика та комп'ютерні технології, 2022 Introduction. Fast algorithms for solving problems of spectral and correlation analysis of random processes began to appear mainly after 1965, when the algorithm of fast Fourier transform (FFT) entered computational practice.
Olena Kolomys, Liliya Luts
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Cryptography, 2023 In this paper, we present new variants of Newton–Raphson-based protocols for the secure computation of the reciprocal and the (reciprocal) square root.
Stan Korzilius, Berry Schoenmakers
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