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基于层级模型的贝叶斯配准及其蛋白质生物信息学应用AI 解读

An important problem in shape analysis is to match configurations of points in space after filtering out some geometrical transformation. In this paper we introduce hierarchical models for such tasks, in which the points in the configurations are either unlabelled or have at most a partial labelling constraining the matching, and in which some points may only appear in one of the configurations. We derive procedures for simultaneous inference about the matching and the…

方向与射影形状AI 解读

This paper deals with projective shape analysis, which is a study of finite configurations of points modulo projective transformations. The topic has various applications in machine vision. We introduce a convenient projective shape space, as well as an appropriate coordinate system for this shape space. For generic configurations of k points in m dimensions, the resulting projective shape space is identified as a product of k−m−2 copies of axial spaces ℝPm. This…

Procrustes 估计量的一致性AI 解读

Summary Lele has shown that the Procrustes estimator of form is inconsistent and raised the question about the consistency of the Procrustes estimator of shape. In this paper the consistency of estimators of form and shape is studied under various assumptions. In particular, it is shown that the Procrustes estimator of shape is consistent under the assumption of an isotropic error distribution and that consistency breaks down if the assumption of isotropy is relaxed. The…

平面标志点数据的形状变化AI 解读

This paper deals with the statistical analysis of matched pairs of shapes of configurations of landmarks in the plane. We provide inference procedures on the complex projective plane for a basic measure of shape change in the plane, on observing that shapes of configurations of $(k + 1)$ landmarks in the plane may be represented as points on $\mathbb{C} P^{k-1}$ and that complex rotations are the only maps on $\mathbb{C} S^{k-1}$ which preserve the usual Hermitian inner…

对尺度具有稳健性的球面相关系数AI 解读

There are several bidirectional situations where it is required to obtain a measure of correlation. The question has been raised often that the bidirectional correlation coefficients so far known are not scale invariant, even asymptotically in the sense that their asymptotic distributions under the hypothesis of independence with von Mises marginals depend upon concentration parameters. Following a conditional approach of Cox (1975), we introduce a new correlation…

二元两样本位置问题的若干检验AI 解读

The asymptotic efficiencies relative to Hotelling's T 2 test of two nonparametric tests for the bivariate two-sample location problem are compared for some mixtures of bivariate normal distributions.

二维两样本位置问题的若干检验AI 解读

The asymptotic efficiencies relative to Hotelling's T 2 test of two nonparametric tests for the bivariate two-sample location problem are compared for some mixtures of bivariate normal distributions.