共查询到20条相似文献,搜索用时 31 毫秒
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The problem of interest is to estimate the concentration curve and the area under the curve (AUC) by estimating the parameters of a linear regression model with autocorrelated error process. We introduce a simple linear nonparametric unbiased estimator of the concentration curve and the AUC. We show that this estimator constructed from an appropriate regular sampling design is asymptotically optimal. 相似文献
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Jocelyne Erhel Zoubida Mghazli Mestapha Oumouni 《Comptes Rendus Mathematique》2011,349(15-16):861-865
In this Note, we present an efficient method to approximate the expectation of the response of a one-dimensional elliptic problem with stochastic inputs. In conventional methods, the computational effort and cost of the approximation of the response can be dramatic. Our method presented here is based on the Karhunen–Loève (K-L) expansion of the inverse of the diffusion parameter, allowing us to build a base of random variables in reduced numbers, from which we construct a projected solution. We show that the expectation of this projected solution is a good approximation, and give an a priori error estimate. A numerical example is presented to show the efficiency of this approach. 相似文献
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Adaptive computation using adaptive meshes is now recognized as essential for solving complex PDE problems. This computation requires, at each step, the definition of a continuous metric field to govern the generation of the adapted meshes. In practice, via an appropriate a posteriori error estimation, metrics are calculated at the vertices of the computational domain mesh. In order to obtain a continuous metric field, the discrete field is interpolated in the whole domain mesh. In this Note, a new method for interpolating discrete metric fields, based on a so-called “natural decomposition” of metrics, is introduced. The proposed method is based on known matrix decompositions and is computationally robust and efficient. Some qualitative comparisons with classical methods are made to show the relevance of this methodology. 相似文献
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Samuele Giraudo 《Comptes Rendus Mathematique》2012,350(11-12):549-552
We study a functorial construction from the category of monoids to the category of set-operads and we give some combinatorial examples of applications. 相似文献
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Armand Borel 《Commentarii Mathematici Helvetici》1955,29(1):27-39
Sans résumé
A Monsieur H. Hopf, à l’occasion de son soixantième anniversaire 相似文献
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