References in raw/Page_33.html

• 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 ...
  

• 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 ...
  

• 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...