Results 191 to 200 of about 1,379 (241)
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ACM Transactions on Mathematical Software, 2019
Uncertainties practically arise from numerous factors, such as ambiguous information, inaccurate model, and environment disturbance. Interval arithmetic has emerged to solve problems with uncertain parameters, especially in the computational process where only the upper and lower bounds of parameters can be ascertained.
Wang, Shouxiang +3 more
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Uncertainties practically arise from numerous factors, such as ambiguous information, inaccurate model, and environment disturbance. Interval arithmetic has emerged to solve problems with uncertain parameters, especially in the computational process where only the upper and lower bounds of parameters can be ascertained.
Wang, Shouxiang +3 more
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Robust symbolic regression with affine arithmetic
Proceedings of the 12th annual conference on Genetic and evolutionary computation, 2010We use affine arithmetic to improve both the performance and the robustness of genetic programming for symbolic regression. During evolution, we use affine arithmetic to analyze expressions generated by the genetic operators, estimating their output range given the ranges of their inputs over the training data. These estimated output ranges allow us to
Cassio L. Pennachin +2 more
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A generalization of p-boxes to affine arithmetic
Computing, 2012Input variables with both interval and probabilistic uncertainties can be modelled by \(p\)-boxes and Dempster-Shafer structures (see, e.g., [\textit{S. Ferson, V. Kreinovich, L. Ginzburg, D. S. Myers} and \textit{K. Sentz}, ``Constructing probability boxes and Dempster-Shafer structures'', SAND report, SAND2002-4015 (2003), \url{http://www.sandia.gov ...
Bouissou, Olivier +3 more
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Affine Texture Mapping and Antialiasing Using Integer Arithmetic
Computer Graphics Forum, 1992AbstractTexture mapping techniques are very useful for generating more realistic images. However, texture compression, generally induced by geometric transformations, is at the origin of aliasing artifacts especially the well‐known “moire” patterns. Two discrete affine texture mapping methods based exclusively on integer arithmetic are presented here ...
Nehlig, P., Ghazanfarpour, D.
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Fatigue damage prognosis using affine arithmetic
AIP Conference Proceedings, 2014Among the essential steps to be taken in structural health monitoring systems, damage prognosis would be the field that is least investigated due to the complexity of the uncertainties. This paper presents the possibility of using Affine Arithmetic for uncertainty propagation of crack damage in damage prognosis.
Audrey Gbaguidi, Daewon Kim
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Signed-symmetric function approximation in affine arithmetic
2013 10th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology, 2013One major cause of the error explosion is the overestimation of a non-affine function introducing a new noise symbol term with non-minimum coefficient. This paper proposes theorems and its proofs to construct the best univariate affine approximation to a non-affine function in the exception case, Signed-symmetric function, that the existing theorem is ...
Prapeepat Uewichitrapochana +1 more
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Finite-precision error modeling using affine arithmetic
2013 IEEE International Conference on Acoustics, Speech and Signal Processing, 2013This paper introduces a new approach for finite-precision error modeling based on affine arithmetic. The paper demonstrates that there is a common hazard in affine arithmetic-based error modeling methods described in the literature. The hazard is linked to early substitution of the signal terms that emerge in operations such as multiplication and ...
Shervin Vakili +2 more
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Circuit simulations with uncertainties using affine arithmetic and piecewise affine statemodels
2008 9th International Conference on Solid-State and Integrated-Circuit Technology, 2008Especially in the field of safety critical applications the impact of process variations on the behavior of integrated circuits can not be neglected. Usually, simulation is costly due to the need for multiple simulation runs with different technology parameter settings.
M. Freisfeld, M. Olbrich, E. Barke
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Approximating parametric curves with strip trees using affine arithmetic
Proceedings. XV Brazilian Symposium on Computer Graphics and Image Processing, 2003Abstract We show how to use affine arithmetic to represent a parametric curve with a strip tree. The required bounding rectangles for pieces of the curve are computed by exploiting the linear correlation information given by affine arithmetic. As an application, we show how to compute approximate distance fields for parametric curves.
Luiz Henrique de Figueiredo +2 more
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Surface intersection using affine arithmetic
1996We describe a variant of a domain decomposition method proposed by Gleicher and Kass for intersecting and trimming parametric surfaces. Instead of using interval arithmetic to guide the decomposition, the variant described here uses affine arithmetic, a tool recently proposed for range analysis.
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