An efficient two-level DC operating points finder for transistor circuits

J Deng, K Batselier, Y Zhang… - 2014 51st ACM/EDAC …, 2014 - ieeexplore.ieee.org
… First of all, necessary facts about interval analysis and affine arithmetic are presented to build
the … We therefore introduce affine arithmetic, which allows us to shrink the starting interval. …

Classification using linear models with uncertain weights

G Manson, SG Pierce, K Worden… - Eurodyn 2005: 6th …, 2005 - strathprints.strath.ac.uk
… Vertex propagation, interval arithmetic and affine arithmetic were used to represent the
uncertainty in networks with linear and softmax output activation functions and were …

Power aware accuracy-guaranteed fractional bit-widths optimization

L Zhang, Y Zhang, W Zhou - 11th Joint International Conference …, 2008 - atlantis-press.com
… [5] use Affine Arithmetic (AA), which considers the correlations among signals, to model
range and precision analyses. It serves much better than Interval Arithmetic, but signal’s range …

Overview of the IBEX library

J NININ, G CHABERT - mode2016.sciencesconf.org
… It is based on interval arithmetic and affine arithmetic. The main feature of IBEX is its ability
to build strategies using contractor programming. The concept of contractor is directly inspired …

[HTML][HTML] A refined affine approximation method of multiplication for range analysis in word-length optimization

R Sun, Y Zhang, A Cui - EURASIP Journal on Advances in Signal …, 2014 - Springer
Affine arithmetic (AA) is widely used in range analysis in word-length optimization of
hardware designs. To reduce the uncertainty in the AA and achieve efficient and accurate range …

[HTML][HTML] Stochastic analysis of structures with uncertain-but-bounded parameters via improved interval analysis

G Muscolino, A Sofi - Probabilistic Engineering Mechanics, 2012 - Elsevier
… Specifically, the method adopts an improvement of the ordinary interval analysis, based on
the philosophy of the so-called affine arithmetic, introducing a particular unitary interval and …

Affine policies and principal components analysis for self-scheduling in CAES facilities

MFZ de Souza, CA Cañizares… - … on Power Systems, 2022 - ieeexplore.ieee.org
… To validate the proposed PCA-AP model and approach, the results obtained are compared
with an existing Affine Arithmetic (AA) model, which is also based on an affine approach, and …

Conductor Temperature Estimation under Uncertain External Conditions Using a Temperature-Dependent Power Flow

M Rahman, V Cecchi - 2019 IEEE Milan PowerTech, 2019 - ieeexplore.ieee.org
… -state analysis can be accounted for by coupling affine arithmetic with a temperature-dependent
power flow approach. Specifically, affine arithmetic is used in this work to model the …

Verification of Analog/Mixed-Signal Systems with AADD

C Zivkovic, C Grimm - ANALOG 2018; 16th GMM/ITG …, 2018 - ieeexplore.ieee.org
… 3.3 Affine arithmetic decision diagrams While affine arithmetic allows us to model real-valued …
In the following, we informally describe the idea of affine arithmetic decision diagrams (…

Semi-symbolic operational computation for robust control system design

L Gil, M Radetzki - … Conference on Methods and Models in …, 2017 - ieeexplore.ieee.org
… computation method for tolerance analysis using affine arithmetic. In order to carry out …
for control system robustness evaluation based on affine arithmetic in section II . In section III…