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math.ST2025
Consistency of Nonparametric Density Estimators in CAT(0) Orthant Space
Yuki Takazawa, Tomonari Sei
The inference of evolutionary histories is a central problem in evolutionary biology. The analysis of a sample of phylogenetic trees can be conducted in Billera-Holmes-Vogtmann tre…
cs.IT2025
Open problems in information geometry: a discussion at FDIG 2025
Tomonari Sei, Hiroshi Matsuzoe
Open problems in information geometry are collected and discussed in the conference ``Further Developments of Information Geometry (FDIG) 2025'' held at the University of Tokyo, Ja…
math.ST2025
Shrinkage priors for circulant correlation structure models
Michiko Okudo, Tomonari Sei
We consider a new statistical model called the circulant correlation structure model, which is a multivariate Gaussian model with unknown covariance matrix and has a scale-invarian…