Log-concave Ridge Estimation

2020/08/12 by Christof Strähl, Strähl, Christof
Computer Science · Physics and Astronomy · #62-08 #Blind Source Separation Techniques #FOS: Computer and information sciences #Galaxies: Formation, Evolution, Phenomena #Methodology (stat.ME) #Scientific Research and Discoveries

paper · pdf · doi:10.48550/arxiv.2008.05191

openalex publication_date 2020/08/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• The 16th Data Release of the Sloan Digital Sky Surveys: First Release from the APOGEE-2 Southern Survey and Full Release of eBOSS Spectra

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