Efficient Control of the Dependency Problem Based on Taylor Model Methods
Abstract
It is shown how the Taylor Model approach allows the rigorous
description of functional dependencies with far-reaching control of the
dependency problem. The amount of overestimation decreases with a high
power of the interval over which the information is required, at a
computational expense that increases rather moderately with the
dimensionality of the problem. This leads to the possibility of treating
even cases with a very significant dependency problem that are
intractable using conventional methods.
K. Makino, M. Berz, Reliable Computing 5 (1999) 3-12
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