1 citations · 1 across the 4 of their papers we have counts for
6 papers
A data-based notion of quantiles on Hadamard spaces
Ha-Young Shin, Hee-Seok Oh
This paper defines an alternative notion, described as data-based, of geometric quantiles on Hadamard spaces, in contrast to the existing methodology, described as parameter-based.…
Absolute average and median treatment effects as causal estimands on metric spaces
Ha-Young Shin, Kyusoon Kim, Kwonsang Lee +1
We define the notions of absolute average and median treatment effects as causal estimands on general metric spaces such as Riemannian manifolds, propose estimators using stratific…
Geometric quantile-based measures of multivariate distributional characteristics
Ha-Young Shin, Hee-Seok Oh
Several new geometric quantile-based measures for multivariate dispersion, skewness, kurtosis, and spherical asymmetry are defined. These measures differ from existing measures, wh…
Radial fields on the manifolds of symmetric positive definite matrices
Ha-Young Shin
On Hadamard manifolds, the radial fields, which are the negative gradients of the Busemann functions, can be used to designate a canonical sense of direction. This could have many…
Quantiles on global non-positive curvature spaces
Ha-Young Shin, Hee-Seok Oh
This paper develops a notion of geometric quantiles on Hadamard spaces, also known as global non-positive curvature spaces. After providing some definitions and basic properties, i…
Robust Geodesic Regression
Ha-Young Shin, Hee-Seok Oh
This paper studies robust regression for data on Riemannian manifolds. Geodesic regression is the generalization of linear regression to a setting with a manifold-valued dependent…