References in raw/Page_29.html

• Spelunking the deep: guaranteed queries on general neural implicit surfaces via range analysis
  N Sharp, A Jacobson - ACM Transactions on Graphics (TOG), 2022 - dl.acm.org
  ... Appendix A gives formulae for 𝛼,𝛽,𝛾 for common activation functions, and furthermore explicitly defines all affine arithmetic rules used in this work. Here, we consider only MLP-like ...
  

• A robust game optimization for electromagnetic buffer under parameters uncertainty
  F Xu, G Yang, L Wang, Z Li, X Wang - Engineering with Computers, 2022 - Springer
  ... Using the affine arithmetic, the uncertainty quantity is re-... However, affine arithmetic can only deal with functions with explicit ... the affine arithmetic to eliminate the inner-loop optimization. ...
  

• Uncertain Static Problems
  S Chakraverty, S Rout - Affine Arithmetic Based Solution of Uncertain ..., 2020 - Springer
  ... For simplicity, let us first consider a 2 2 ISLE, and using the proposed method described below, the system can be solved by using affine arithmetic computations. The resulting solution ...
  

• Interval Raus criterion for stability analysis of linear systems with dependent coefficients in the characteristic polynomial
  L Kolev, S Petrakieva - 27th International Spring Seminar on ..., 2004 - ieeexplore.ieee.org
  ... The interval extensions are also determined by using modified affine arithmetic. Two ... Then we apply the necessary simple mathematical operations 9f modified affine arithmetic (...
  

• A hybrid arithmetic transform for precision analysis of floating-point polynomial specifications
  O Sarbishei, K Radecka, Z Zilic - 2014 IEEE 12th International ..., 2014 - ieeexplore.ieee.org
  ... We compare our solution with Affine Arithmetic (AA), the Gappa tool, which uses IA, as well as simulation-based methods, on a set of polynomial benchmarks. Experiments show that ...
  

• Tracing harmonic contributions of multiple distributed generations in distribution systems with uncertainty
  S Wang, X Liu, K Wang, L Wu, Y Zhang - International Journal of Electrical ..., 2018 - Elsevier
  ... In this paper, a Complex Affine arithmetic based Three-phase Harmonic Power Flow method (CATHPF) is proposed to trace the harmonic contributions of individual DGs to distribution ...
  

• Solving fully fuzzy nonlinear eigenvalue problems of damped spring-mass structural systems using novel fuzzy-affine approach
  S Chakraverty - Computer Modeling in Engineering & Sciences, 2019 - ingentaconnect.com
  ... Further due to the presence of interval overestimation problem in standard interval arithmetic,
  

• Computer-aided verification of matrix Riccati algorithms^*
  VA Tsachouridis, G Giantamidis - 2019 IEEE 58th Conference ..., 2019 - ieeexplore.ieee.org
  ... Combining existing theoretical results with an affine arithmetic computational framework, it is illustrated ... via numerical examples using a custom made affine arithmetic reachability tool. ...
  

• An Affine-Interval Arithmetic-Based Feasible Region Evaluation Method
  XIE Yong-qiang, C Jian-jun... - Journal of Beijing ..., 2015 - journal.bupt.edu.cn
  ... Finite鄄precision error modeling using affine arithmetic[C]椅Acoustics, Speech and Signal ... by a modified affine arithmetic [ J]. Computers and Chemical Engineering, 2013(48): 48鄄57. ...
  

• A Comparison of Range Arithmetic Methods in Symbolic-Numeric Circuit Analysis Applications
  B Thanigaivelan, TJ Hamilton, A Postula - academia.edu
  ... The range arithmetic methods considered in this paper are affine arithmetic (AA), Extensions to AA (EAA) suggested by Messine, and generalized interval arithmetic (GIA) suggested by ...