2 papers
math.ST2026
Inference for Fréchet Mean Sets
Ryunosuke Miyazaki
We construct confidence sets for the entire Fréchet mean set by inverting studentized pairwise risk inequalities. Gaussian multiplier calibration localized around empirical near mi…
stat.ME2025
Testing Conditional Independence via the Spectral Generalized Covariance Measure: Beyond Euclidean Data
Ryunosuke Miyazaki, Yoshimasa Uematsu
We propose a conditional independence (CI) test based on a new measure, the \emph{spectral generalized covariance measure} (SGCM). The SGCM is constructed by expressing the squared…