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Affine arithmetic

Affine arithmetic (AA) is a model for self-validated numerical analysis. In AA, the quantities of interest are represented as affine combinations… 
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Related topics

Related topics

9 relations
2D computer graphicsDynamical systemError analysis (mathematics)Implicit surface

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2018
2018
Uncertain Power Flow Analysis Based on Evidence Theory and Affine Arithmetic
A novel uncertain power flow analysis method is proposed in this letter. It utilizes evidence theory to fuse probabilistic… 
2015
2015
Unbalanced three-phase distribution system power flow with distributed generation using affine arithmetic
Due to the high penetration of the uncertain distributed generations (DGs), including wind power generators (WTG), photovoltaic… 
2014
2014
Hierarchical control of piecewise affine hybrid systems
This paper extends the hierarchical control structures in [4], [6], [17] to the important class of piecewise affine (PWA) hybrid… 
2008
2008
Adendum to Self-verified extension of affine arithmetic to arbitrary order
Affine Arithmetic (AA) is a self-verifying computational approach that keeps track of first-order correlation between uncertainties… 
2006
2006
An automated, efficient and static bit-width optimization methodology towards maximum bit-width-to-error tradeoff with affine arithmetic model
  • Y. PuYajun Ha
  • Asia and South Pacific Conference on Design…
  • 2006
  • Corpus ID: 10305886
Ideally, bit-width analysis methods should be able to find the most appropriate bit-widths to achieve the optimum bit-width-to… 
2004
2004
An Improved Interval Linearization for Solving Nonlinear Problems
Let f(x) denote a system of n nonlinear functions in m variables, m≥n. Recently, a linearization of f(x) in a box x has been… 
2004
2004
Using directed acyclic graphs to coordinate propagation and search for numerical constraint satisfaction problems
The paper of H. Schichl & A. Neumaier has given the fundamentals of interval analysis on DAGs for global optimization and… 
2004
2004
Refinement of mixed-signals systems with affine arithmetic
This paper describes a framework for the refinement of control and signal processing functions. The design starts with an… 
2002
2002
Analog circuit sizing based on formal methods using affine arithmetic
We present a novel approach to optimization-based variation-tolerant analog circuit sizing. Using formal methods based on affine… 
1997
1997
Fast Interval Branch-And-Bound Methods For Unconstrained Global Optimization With Affine Arithmetic
We show that faster solutions to unconstrained global optimization problems can be obtained by combining previous accelerations… 
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