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IFSA
2007
Springer

From Interval Computations to Constraint-Related Set Computations: Towards Faster Estimation of Statistics and ODEs Under Interv

8 years 11 months ago
From Interval Computations to Constraint-Related Set Computations: Towards Faster Estimation of Statistics and ODEs Under Interv
One of the important components of granular computing is interval computations. In interval computations, at each intermediate stage of the computation, we have intervals of possible values of the corresponding quantities. In our previous papers, we proposed an extension of this technique to set computations, where on each stage, in addition to intervals of possible values of the quantities, we also keep sets of possible values of pairs (triples, etc.). In this paper, we show that in several practical problems, such as estimating statistics (variance, correlation, etc.) and solutions to ordinary differential equations (ODEs) with given accuracy, this new formalism enables us to find estimates in feasible (polynomial) time. 1
Martine Ceberio, Vladik Kreinovich, Andrzej Pownuk
Added 08 Jun 2010
Updated 08 Jun 2010
Type Conference
Year 2007
Where IFSA
Authors Martine Ceberio, Vladik Kreinovich, Andrzej Pownuk, Barnabás Bede
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