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Generalized Cluster Trees and Singular Measures
Yen-Chi Chen
In this paper, we study the -cluster tree (-tree) under both singular and nonsingular measures. The -tree uses probability contents within a level set to construct a clust…
Statistical Inference Using Mean Shift Denoising
Yunhua Xiang, Yen-Chi Chen
In this paper, we study how the mean shift algorithm can be used to denoise a dataset. We introduce a new framework to analyze the mean shift algorithm as a denoising approach by v…
Statistical Inference for Cluster Trees
Jisu Kim, Yen-Chi Chen, Sivaraman Balakrishnan +2
A cluster tree provides a highly-interpretable summary of a density function by representing the hierarchy of its high-density clusters. It is estimated using the empirical tree, w…
Intrinsic alignments in redMaPPer clusters -- I. Central galaxy alignments and angular segregation of satellites
Hung-Jin Huang, Rachel Mandelbaum, Peter E. Freeman +4
The shapes of cluster central galaxies are not randomly oriented, but rather exhibit coherent alignments with the shapes of their parent clusters as well as with the surrounding la…