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 …

[HTML][HTML] 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 …

[HTML][HTML] 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,
affine arithmetic based approach has been implemented. In the proposed method, the …

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. …

[PDF][PDF] 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 …