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有理克里金
This article proposes a new kriging that has a rational form.It is shown that the generalized least squares estimator of the mean from rational kriging is much more well behaved than that of ordinary kriging.Parameter estimation and uncertainty quantification for rational kriging are proposed using a Gaussian process framework.A generalized version of rational kriging is also proposed, which includes ordinary and rational kriging as special cases.Extensive simulations…
支撑点：概率分布的代表点构造
This paper introduces a new way to compact a continuous probability distribution $F$ into a set of representative points called support points. These points are obtained by minimizing the energy distance, a statistical potential measure initially proposed by Székely and Rizzo [InterStat 5 (2004) 1–6] for testing goodness-of-fit. The energy distance has two appealing features. First, its distance-based structure allows us to exploit the duality between powers of the Euclidean…
大涡模拟的高效代理模型与物理机制提取
In the quest for advanced propulsion and power-generation systems, high-fidelity simulations are too computationally expensive to survey the desired design space, and a new design methodology is needed that combines engineering physics, computer simulations, and statistical modeling. In this article, we propose a new surrogate model that provides efficient prediction and uncertainty quantification of turbulent flows in swirl injectors with varying geometries, devices…
心肌细胞离子通道模型中函数型参数的校准
Computational modeling is a popular tool to understand a diverse set of complex systems. The output from a computational model depends on a set of parameters that are unknown to the designer, but a modeler can estimate them by collecting physical data. In the described study of the ion channels of ventricular myocytes, the parameter of interest is a function as opposed to a scalar or a set of scalars. This article develops a new modeling strategy to nonparametrically study…