Results 241 to 250 of about 197,009 (283)

Rounding errors in autoregressive processes

International Journal of Forecasting, 1993
Abstract Time series observations are often rounded, but are modelled as though they were continuous and no rounding had occurred. This paper examines the impact of rounding on the estimation of parameters in autoregressive time series models, deriving appropriate adjustments for the estimates of the true parameters when using rounded data ...
Antonie Stam, Kenneth O. Cogger
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ROUNDING-OFF ERRORS IN MATRIX PROCESSES

The Quarterly Journal of Mechanics and Applied Mathematics, 1948
A number of methods of solving sets of linear equations and inverting matrices are discussed. The theory of the rounding-off errors involved is investigated for some of the methods. In all cases examined, including the well-known 'Gauss elimination process', it is found that the errors are normally quite moderate: no exponential build-up need occur ...
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Shorthand Notation for Rounding Errors

1980
The first modern papers dealing with rounding errors were rather long. Gradually the presentation became more concise. Here we discuss a shorthand notation. It leads almost immediately to basic results concerning polynomials, triangular systems, elimination, and other problems.
R. Scherer, K. Zeller
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Round-off errors in variational calculations

Journal of Computational Physics, 1968
Abstract Rigorous bounds are derived for the effect of round-off errors in variational calculations for eigenvalues of linear operators. These bounds are simple to compute. They are used to derive an alternative variation principle which minimizes the effect of round-off errors. A numerical example of the use of the techniques is given.
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Weight-Rounding Error in Deep Neural Networks

Current AI technologies based on deep neural networks (DNNs) are computationally extremely demanding, which limits their widespread deployment in embedded devices with constrained energy resources (e.g. battery-powered smartphones). One possible approach to solving this problem is to reduce the precision of weight parameters, which can save an enormous
Jiří Šíma, Petra Vidnerová
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Rounding Error Analysis of Mixed Precision Block Householder QR Algorithms

SIAM Journal of Scientific Computing, 2021
Alyson Fox
exaly  

Probabilistic Rounding Error Analysis of Householder QR Factorization

SIAM Journal on Matrix Analysis and Applications, 2023
Nicholas J Higham
exaly  

Round-Off Error Propagation

2021
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Rounding errors in algebraic processes

USSR Computational Mathematics and Mathematical Physics, 1965
Harlan D. Mills, J. H. Wilkinson
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Round-off error

Analytical Chemistry, 1980
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