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THE ELEVENTH AND TWELFTH DATA RELEASES OF THE SLOAN DIGITAL SKY SURVEY: FINAL DATA FROM SDSS-III
The third generation of the Sloan Digital Sky Survey (SDSS-III) took data from 2008 to 2014 using the original SDSS wide-field imager, the original and an upgraded multi-object fiber-fed optical…
Nonparametric modal regression
A simple nonparametric method for modal regression, based on a kernel density estimate of the joint distribution of Y and X, is studied, and asymptotic error bounds for this method are derived, and techniques for constructing confidence sets and prediction sets are proposed.
A tutorial on kernel density estimation and recent advances
- Yen-Chi Chen
- Mathematics, Computer Science
- 1 January 2017
This tutorial provides a gentle introduction to kernel density estimation (KDE) and recent advances regarding confidence bands and geometric/topological features, and illustrates how one can use KDE to estimate a cumulative distribution function and a receiver operating characteristic curve.
Density Level Sets: Asymptotics, Inference, and Visualization
This work derives asymptotic theory for this estimator for density level sets under Hausdorff loss, and based on this theory, two bootstrap confidence regions for level sets are developed.
Cosmic web reconstruction through density ridges: method and algorithm
The detection and characterization of filamentary structures in the cosmic web allows cosmologists to constrain parameters that dictates the evolution of the Universe. While many filament estimators…
Detecting Effects of Filaments on Galaxy Properties in the Sloan Digital Sky Survey III
We study the effects of filaments on galaxy properties in the Sloan Digital Sky Survey (SDSS) Data Release 12 using filaments from the `Cosmic Web Reconstruction' catalogue (Chen et al. 2016), a…
Statistical Analysis of Persistence Intensity Functions
This work provides a modification and formalization of the persistence intensity function, which can be used to visualize multiple diagrams, perform clustering and conduct two-sample tests.
Intrinsic alignments in redMaPPer clusters -- I. Central galaxy alignments and angular segregation of satellites
National Science Foundation [AST-1313169]; William S. Dietrich II Presidential PhD Fellowship Award; US Department of Energy [DE-SC0007901]
A Comprehensive Approach to Mode Clustering
This work provides several enhancements to mode clustering, a soft variant of cluster assignment, a measure of connectivity between clusters, a technique for choosing the bandwidth, a method for denoising small clusters, and an approach to visualizing the clusters.
Asymptotic theory for density ridges
The large sample theory of estimators for density modes is well understood. In this paper we consider density ridges, which are a higher-dimensional extension of modes. Modes correspond to…