Speaker: Yen-Chi Chen

Abstract: Density ridges are curve-like structures characterizing high density regions. In cosmology, density ridges are excellent models for tracing structures of the Universe. We study asymptotic theory for density ridges and propose a procedure for constructing confidence sets using the bootstrap. Moreover, we generalize the integrated distance to assess the risk for estimating ridges, and choose smooth bandwidth via minimizing the risk.

References:
Yen-Chi Chen, Christopher Genovese, Larry Wasserman. "Asymptotic theory for density ridges", 2014
Yen-Chi Chen, Christopher Genovese, Shirley Ho, Larry Wasserman. "Optimal Ridge Detection using Coverage Risk", 2015