6 papers
Minimum information Markov model
Issey Sukeda, Tomonari Sei
The analysis of high-dimensional time series data has become increasingly important across a wide range of fields. Recently, a method for constructing the minimum information Marko…
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…
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…
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…
Relative local dependence of bivariate copulas
Issey Sukeda, Tomonari Sei
For a bivariate probability distribution, local dependence around a single point on the support is often formulated as the second derivative of the logarithm of the probability den…
Frank copula is minimum information copula under fixed Kendall's
Issey Sukeda, Tomonari Sei
In dependence modeling, various copulas have been utilized. Among them, the Frank copula has been one of the most typical choices due to its simplicity. In this work, we demonstrat…