References in raw/Page_45.html

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Static analysis by abstract interpretation: A mathematical programming approach
E Goubault, S Le Roux, J Leconte, L Liberti... - Electronic notes in ..., 2010 - Elsevier
... Although we limit the discussion to integer affine arithmetic semantics in the interval domain,
the flexibility and power of mathematical programming tools have the potential for enriching ...
Convex Interval Taylorization in Constrained Global Optimization
I Araya, G Trombettoni, B Neveu - www-sop.inria.fr
... this affine arithmetic and our corner-based taylorization. ... Compared to affine arithmetic, first
experiments suggest that our ... has the potential to complement affine arithmetic and Quad. ...
A Review of Interval Field Approaches for Uncertainty Quantification in Numerical Models
M Faes, M Imholz, D Vandepitte... - Modern Trends in ..., 2021 - Wiley Online Library
... The methods based on affine arithmetic integrate well with the well-known KL expansion
method, allowing for the application of a globally defined homogeneous auto-dependence ...
Quantization analysis of the infrared interferometer of the tj-ii stellarator for its optimized fpga-based implementation
L Esteban, JA López, E Sedano... - ... on Nuclear Science, 2013 - ieeexplore.ieee.org
... In [7], the temporal correlation problem of Affine Arithmetic is solved by including all the terms
with ... However, since the applied analytical method is Affine Arithmetic, the treatment of the ...
A Contractor based on Convex Interval Taylorization
I Araya, G Trombettoni, B Neveu - www-sop.inria.fr
... Compared to affine arithmetic, preliminary experiments suggest that our convex interval ...
reliable convexification method has the potential to complement affine arithmetic and Quad. ...
Proteins Structure Determination with Imprecise Distances
I Sendin, SK Goldenstein - Proceedings of DGA, 2013 - ic.unicamp.br
... Affine arithmetic ensures that the resulting affine form contains the true value provided that
the operands contain the true value. This property, useful for reliable computing, in general is ...
Reliable distance and intersection computation using finite precision geometry
K Bühler, E Dyllong, W Luther - Numerical Software with Result Verification, 2004 - Springer
... They are constructed using Taylor models or affine arithmetic. The particular structure of (I)LIEs
allows the construction of effective hierarchies of bounding volumes and the ...
Solution proposal to the unit commitment problem incorporating manifold uncertainties
F Zhai, L Shi - IET Generation, transmission & distribution, 2020 - researchgate.net
... Furthermore, the uncertainty of power loss is considered and modeled by applying the
ET and the extended affine arithmetic framework. Regarding the highly nonlinear mix-discrete ...
Implicit linear interval estimations
K Bühler - Proceedings of the 18th spring conference on ..., 2002 - dl.acm.org
... This section requires some basic knowledge about interval and affine arithmetic. A short ...
way is to use affine arithmetic: Like in the straight forward use of affine arithmetic for cell/object in...
Instrumentation of the Control Flow of SystemC AMS-Models for Symbolic Simulation
C Radojicic, C Grimm - ANALOG 2016; 15. ITG/GMM ..., 2016 - ieeexplore.ieee.org
... In Section 2 we give an overview of the symbolic simulation based on Extended Affine Arithmetic.
... with Extended Affine Arithmetic. The demonstration example is described in Section 5. ...