3 citations · 4 across the 4 of their papers we have counts for
4 papers
Giants through higher-order paths in random simplicial complexes
Souvik Dhara, Taegyu Kang
We investigate the giant component formed via high-dimensional paths in the multi-parameter random simplicial complex (MRSC) model. For a -dimensional simplicial complex, we def…
Layered Hill estimator for extreme data in clusters
Taegyu Kang, Takashi Owada
A new estimator is proposed for estimating the tail exponent of a heavy-tailed distribution. This estimator, referred to as the layered Hill estimator, is a generalization of the t…
Differentially Private Topological Data Analysis
Taegyu Kang, Sehwan Kim, Jinwon Sohn +1
This paper is the first to attempt differentially private (DP) topological data analysis (TDA), producing near-optimal private persistence diagrams. We analyze the sensitivity of p…
Large deviations for the volume of -nearest neighbor balls
Christian Hirsch, Taegyu Kang, Takashi Owada
This paper develops the large deviations theory for the point process associated with the Euclidean volume of -nearest neighbor balls centered around the points of a homogeneous…