References in raw/Page_79.html

• Rigorous solution techniques for numerical constraint satisfaction problems
  XH Vu - 2005 - infoscience.epfl.ch
  ... Section 5.4 presents some improvements and proposals to affine arithmetic. Section 5.5 present the concept of an inclusion representation. A summary of our contributions in this ...
  

• Long-range interactions in 1D heterogeneous solids with uncertainty
  G Muscolino, A Sofi, M Zingales - Procedia IUTAM, 2013 - Elsevier
  ... To limit the conservatism due to the dependency phenomenon, the so-called generalized interval analysis [13] and the affine arithmetic [14] have been introduced in the literature. ...
  

• Guest editors' introduction to the special section on graphical models in computer vision
  JM Rehg, V Pavlovic, TS Huang... - IEEE Transactions on ..., 2003 - cs.rutgers.edu
  ... This framework supports the efficient integration of information from edges and other cues using the machinery of affine arithmetic and the propagation of uncertainties. They present ...
  

• A review of Interval Field Approaches for Uncertainty Quantification in Numerical Models
  F Matthias, M IMHOLZ, D VANDEPITTE, M David - researchgate.net
  ... The methods based on affine arithmetic integrate well with the well-known Karhunen-Loève expansion method, allowing for the application of a globally defined homogeneous auto-...
  

• Rigorous Enclosure of Round-Off Errors in Floating-Point Computations
  R Garcia, C Michel, M Rueher - Software Verification, 2020 - Springer
  ... For instance, Fluctuat [10, 11] is an abstract interpreter that combines affine arithmetic and zonotopes to analyze the robustness of programs over the floats, FPTaylor [23, 24] uses ...
  

• Transparent rendering and slicing of integral surfaces using per-primitive interval arithmetic
  M Aydinlilar, C Zanni - Eurographics 2022-43rd annual conference of the ..., 2022 - hal.inria.fr
  ... Another recent approach relies on a variant of interval and revised affine arithmetic, such as ... using extended revised affine arithmetic. Computers & Graphics 34, 6 (2010), 708–718. 2, 3 ...
  

• A novel random fuzzy P-Q-V voltage stability security region of power system interconnected with DFIG high penetration
  R Ma, M Li - International Transactions on Electrical Energy ..., 2019 - Wiley Online Library
  ... A method based on affine arithmetic is proposed, which is used for voltage stability assessment of power systems considering intermittent generation sources.9 By using scalable ...
  

• Porównywanie form afinicznych
  P Róg - Zeszyt Naukowy/Wyższa Szkoła Ekonomii, Prawa i ..., 2007 - yadda.icm.edu.pl
  ... Affine arithmetic is modification of interval arithmetic which is able to track dependences between input, intermediate and output intervals. In many real-life applications (eg optimization, ...
  

• Co-simulation framework for calculating balancing energy needs of a microgrid with renewable energy penetration
  B Sinkovics, J Kiss, B Polgari... - International Journal of ..., 2021 - Wiley Online Library
  This paper introduces a unique simulation framework for testing and validating multiple operation issues of grid connected microgrids. The framework is widely adjustable and enables ...
  

• Local interval fields for spatial inhomogeneous uncertainty modelling
  R Callens, M Faes, D Moens - International Symposium on Uncertainty ..., 2020 - Springer
  ... Another approach to model interval fields is via an affine arithmetic representation of the interval uncertainty in combination with the Karhunen-Loeve expansion by Sofi et al. [9]. Also, ...