Analyzing GPS datasets and Singular Distributions

Generalized Cluster Trees and Singular Measures
Yen-Chi Chen.
Preprint (2016)

Statistical Analysis for Geometric Features

Statistical Inference using Meanshift Denoising
Yunhua Xiang, Yen-Chi Chen.
Preprint (2016)
Statistical Inference Using the Morse-Smale Complex
Yen-Chi Chen, Christopher R. Genovese, Larry Wasserman.
Electronic Journal of Statistics 11, no. 1 (2017): 1390-1433. R-code: MSHD
Density Level Sets: Asymptotics, Inference, and Visualization
Yen-Chi Chen, Christopher R. Genovese, Larry Wasserman.
To appear in Journal of the American Statistical Association–Theory and Method (2016+). R code: HDLV
Optimal Ridge Detection using Coverage Risk
Yen-Chi Chen, Christopher R. Genovese, Shirley Ho, Larry Wasserman.
Advances in Neural Information Processing Systems 28 (NIPS 2015), 316-324.
Generalized Mode and Ridge Estimation
Yen-Chi Chen, Christopher R. Genovese, Larry Wasserman.
Preprint (2014)
Asymptotic Theory for Density Ridges
Yen-Chi Chen, Christopher R. Genovese, Larry Wasserman.
The Annals of Statistics 43, no. 5 (2015): 1896–1928.

Cluster Analysis

Improved \(k\)-means Clustering
Yen-Chi Chen.
(In progress)
Statistical Inference Using the Morse-Smale Complex
Yen-Chi Chen, Christopher R. Genovese, Larry Wasserman.
Preprint (2015). R code: MSHD
Risk Bounds for Mode Clustering
Martin Azizyan, Yen-Chi Chen, Aarti Singh and Larry Wasserman.
Preprint (2015)
A Comprehensive Approach to Mode Clustering
Yen-Chi Chen, Christopher R. Genovese, Larry Wasserman.
Electronic Journal of Statistics 10, no. 1 (2016): 210-241. R code: EMC

Nonparametric Inference


Topological Data Analysis

Generalized Cluster Trees and Singular Measures
Yen-Chi Chen.
Preprint (2016)
Confidence Sets for Density Trees
Jisu Kim, Yen-Chi Chen, Alessandro Rinaldo, Larry Wasserman.
Advances in Neural Information Processing Systems 29 (NIPS 2016), 1831-1839.
Statistical Analysis of Persistence Intensity Functions
Yen-Chi Chen, Daren Wang, Alexandro Rinaldo, Larry Wasserman.
Preprint (2015)

Cosmic Web Reconstruction

Detecting Galaxy-Filament Alignments in the Sloan Digital Sky Survey III
Yen-Chi Chen, Shirley Ho, Jonathan Blazek, Siyu He, Rachel Mandelbaum, Peter Melchior, Sukhdeep Singh.
(In Progress)
Detecting Effects of Filaments on Galaxy Properties in Sloan Digital Sky Survey III
Yen-Chi Chen, Shirley Ho, Rachel Mandelbaum et al.
Monthly Notices of the Royal Astronomical Society 466, no. 2 (2017): 1880-1893.
Cosmic Web Reconstruction through Density Ridges: Catalogue
Yen-Chi Chen, Shirley Ho, Jon Brinkmann et al.
Monthly Notices of the Royal Astronomical Society 461, no. 4 (2016): 3896–3909.
Investigating Galaxy-Filament Alignment in Hydrodynamic Simulations using Density Ridges
Yen-Chi Chen, Shirley Ho, Ananth Tenneti et al.
Monthly Notices of the Royal Astronomical Society 454, no. 3 (2015): 3341–3350.
Cosmic Web Reconstruction through Density Ridges: Method and Algorithm
Yen-Chi Chen, Shirley Ho, Peter E. Freeman, Christopher R. Genovese, Larry Wasserman.
Monthly Notices of the Royal Astronomical Society 454, no. 1 (2015): 1140–1156.

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