论文标题

对数凸脊估计

Log-concave Ridge Estimation

论文作者

Strähl, Christof

论文摘要

我们根据新型密度脊定义开发了密度脊搜索算法。该定义基于条件方差矩阵和较低维子空间中的模式。它与基于潜在概率密度函数的梯度和黑森的子空间约束平均移位算法进行了比较。我们在仿真研究中显示了新算法的优势,并从巴里昂振荡光谱调查的数据集估算了星系丝。

We develop a density ridge search algorithm based on a novel density ridge definition. This definition is based on a conditional variance matrix and the mode in the lower dimensional subspace. It is compared to the subspace constraint mean shift algorithm, based on the gradient and Hessian of the underlying probability density function. We show the advantages of the new algorithm in a simulation study and estimate galaxy filaments from a data set of the Baryon Oscillation Spectroscopic Survey.

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