On a Singular Point to Contribute to a Learning Coefficient and Weighted Resolution of Singularities

摘要

A lot of learning machines which have the hidden variables or the hierarchical structures are the singular statistical models. They have a different learning performance from the regular statistical models. In this paper, we show that the learning coefficient is easily computed by weighted blow up, in contrast, and that there is the case that the learning coefficient cannot be correctly computed by blowing up at the origin O only.