2 papers
math.AP2023
Variational formulations of ODE-Net as a mean-field optimal control problem and existence results
Noboru Isobe, Mizuho Okumura
This paper presents a mathematical analysis of ODE-Net, a continuum model of deep neural networks (DNNs). In recent years, Machine Learning researchers have introduced ideas of rep…
math.FA2021
Generalization of the Ehrling inequality and universal characterization of completely continuous operators
Mizuho Okumura
The present work is devoted to an extension of the well-known Ehrling inequalities, which quantitatively characterize compact embeddings of function spaces, to more general operato…