A feature analysis for dimension reduction based on a data generation model with class factors and environment factors

Singularity and Slow Convergence of the EM algorithm for Gaussian Mixtures

A subspace method based on data generation model with class information

Classification of Bio-data with Small Data Set Using Additive Factor Model and SVM

Singularity Affect Dynamics of Learning in Neuromanifold

Singularities affect dynamics of learning in neuromanifolds

A Robust SVM Design for Multi-Class Classification

Multilayer perceptron and natural gradient learning

Slow Dynamics Due to Singularities of Hierarchical Learning Mahines

Geometry of Grandient Learning(in Japanese)