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The use of the generalization error allows to objectively rank among competing models.
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In this paper, we try to introduce a mixed plan of pure and applied mathematics, where measure of non-compactness on a Banach space is used for the generalization of Darbo fixed point theorem for existence of solution singular integral equations with fractional order.
The former is a natural extension of the conventional generative model (9) and has often been used for the generalization of Laplace IVA or time-varying Gaussian IVA as GGD-IVA.
which can be used for the generalization of the first order 3-ary Reed-Muller code[3].
Further, they can be used for the generalization of the input which is not included in the data for training, even in a noise-contained environment.
In the sequel we will make use of the following generalization of Gronwall's lemma for two independent variables and singular kernel.
Focussing on the domain model of cooking recipes described above, it seems as though the use of the term generalization as intended by SFL practitioners differs from this definition.
This paper aims to discuss the use of abstraction and generalization in the conceptual design process within the Theory of Inventive Problem Solving (TRIZ) environment, specifically, in TRIZ-SDA (Systematic Design Approach), which was developed to increase the understanding of safety principles in the conceptual design process.
This scheme is associated with the use of a generalization of the classic approach to considering the uncertainty of information to multicriteria problems, based on analyzing special aggregations of payoff matrices.
We used a version of the generalization task introduced by Frank et al. (2004, 2007 b ).
Median values, together with 2.5 – 97.5 percentiles, from these 100 validation sets were used as measures of the generalization performance of the prediction models.
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