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Accurate and efficient implementation of affine arithmetic using floating-point arithmetic
2014Affine arithmetic is one of the extensions of interval arithmetic that aim at counteracting the variable dependency problem.With affine arithmetic, defined in [5] by Stolfi and Figueiredo, variables are represented as affine combination of symbolic noises.It differs from the generalized interval arithmetic, defined by Hansen in [1], where variables are
Ninin, Jordan, Revol, Nathalie
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Functional and Affine Completeness and Arithmetical Varieties
1993Our understanding of affine complete and functionally complete algebras and varieties of affine complete algebras is closely related to our understanding of arithmetical algebras and varieties. Because of this we first survey basic results about arithmetical algebras and varieties, emphasizing finite algebras and finitely generated varieties.
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The Arithmetic Optimization Algorithm
Computer Methods in Applied Mechanics and Engineering, 2021Laith Mohammad Abualigah +2 more
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MXene Ti3C2 memristor for neuromorphic behavior and decimal arithmetic operation applications
Nano Energy, 2021Jingsheng Chen, Xiaobing Yan
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Implementation of affine arithmetic using floating-point arithmetic: how to handle roundoff errors
2014Affine arithmetic is one of the extensions of interval arithmetic, which aimsat counteracting the variable dependency problem. The focus of our work isthe implementation of affine arithmetic using floating-point arithmetic. Moreprecisely, roundoff errors are properly accounted for in our implementation.
Ninin, Jordan, Revol, Nathalie
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A novel hybrid arithmetic optimization algorithm for solving constrained optimization problems
Knowledge-Based Systems, 2023Natee Panagant +2 more
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A distributed particle-PHD filter using arithmetic-average fusion of Gaussian mixture parameters
Information Fusion, 2021Tian-cheng Li, Franz Hlawatsch
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