Floating-point to fixed-point transformation using extreme value theory

L Zhang, Y Zhang, W Zhou - 2009 Eighth IEEE/ACIS …, 2009 - ieeexplore.ieee.org
… Range results obtained by 108 random generated simulations and analytical method in [4],
which uses Affine Arithmetic (AA) to analyze integer and fractional bit-widths, are listed in …

[PDF][PDF] Fast and accurate computation of the round-off noise of linear time-invariant systems

JALGCC Carreras, O Nieto-Taladriz - 2008 - academia.edu
… Abstract: From its introduction in the last decade, affine arithmetic (AA) has shown beneficial
properties to speed up the time of computation procedures in a wide variety of areas. In the …

Interval Arithmetic

JM Muller, N Brunie, F Dinechin, CP Jeannerod… - Handbook of Floating …, 2018 - Springer
… Several variants of interval arithmetic have been developed to cure the variable dependency
problem, such as affine arithmetic or Taylor models. They will be briefly explained in …

A critical Review on distributed generation planning in Distribution Networks

B Singh, A Prasad, A Pratap… - … on Electrical and …, 2020 - ieeexplore.ieee.org
This paper shows the study on coordinated management of various kinds of distributed
generations (DGs) like DG1, DG2, DG3 and DG4 in distribution networks with static and realistic …

Hybrid Probabilistic and Interval Load Flow Calculation based on Data Clustering

C Wang, F Tang, Y Zhang, W Liang… - 2020 12th IEEE PES …, 2020 - ieeexplore.ieee.org
… Then, HPILF can be transformed into a number of interval load flow (ILF) calculations and
solved by the well-established affine arithmetic methods. The performance of the proposed …

[HTML][HTML] False data injection attack detection based on interval affine state estimation

Y Wang, A Xing, Z Qu, X Han, H Dong… - Electric Power Systems …, 2022 - Elsevier
… Compared with interval arithmetic, affine arithmetic can more effectively reduce the
conservativeness of the result when performing linear calculations. After the calculation steps of …

Affine relaxations for the solutions of constrained parametric ordinary differential equations

SM Harwood, PI Barton - Optimal Control Applications and …, 2018 - Wiley Online Library
… can be obtained in an automated way through some sort of affine arithmetic, as mentioned
before. We could proceed by the affine arithmetic of Harwood20 , Ch. 3 or Taylor model …

A comparison of interval methods in symbolic circuit analysis applications

B Thanigaivelan, TJ Hamilton, A Postula - ANZIAM Journal, 2010 - journal.austms.org.au
… This article is concerned with using interval methods—such as Affine Arithmetic (aa) [6],
Revised Affine Arithmetic (raa) [5], Extension to Affine Arithmetic (eaa) [4], and Generalized …

[HTML][HTML] Multivariate dependent interval finite element analysis via convex hull pair constructions and the Extended Transformation Method

M Faes, D Moens - Computer Methods in Applied Mechanics and …, 2019 - Elsevier
Classical (independent) interval analysis considers a hyper-cubic input space consisting of
independent intervals. This stems from the inability of intervals to model dependence and …

A formally verified motion planner for autonomous vehicles

A Rizaldi, F Immler, B Schürmann, M Althoff - International Symposium on …, 2018 - Springer
… Compared to VeriPhy, we use affine arithmetic and VeriPhy uses interval arithmetic—a special
case of affine arithmetic. However, our approach needs to trust the code generation setup …