3 papers
stat.ME2025
Heteroscedastic Double Bayesian Elastic Net
Masanari Kimura
In many practical applications, regression models are employed to uncover relationships between predictors and a response variable, yet the common assumption of constant error vari…
stat.ML2025
Theoretical and Practical Analysis of Fréchet Regression via Comparison Geometry
Masanari Kimura, Howard Bondell
Fréchet regression extends classical regression methods to non-Euclidean metric spaces, enabling the analysis of data relationships on complex structures such as manifolds and grap…
stat.ML2024
Density Ratio Estimation via Sampling along Generalized Geodesics on Statistical Manifolds
Masanari Kimura, Howard Bondell
The density ratio of two probability distributions is one of the fundamental tools in mathematical and computational statistics and machine learning, and it has a variety of known…