对数凹岭估计
Log-concave Ridge Estimation
摘要：
我们开发了一种基于新的密度脊定义的密度脊搜索算法。该定义基于条件方差矩阵和低维子空间中的模式。它是比较子空间约束的均值漂移算法，基于梯度和海森的潜在的概率密度函数。我们在模拟研究中展示了新算法的优势，并根据重子振荡光谱巡天的数据集估计了星系细丝。
英文摘要：
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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