Variational formulations of ODE-Net as a mean-field optimal control problem and existence results. - Noboru Isobe; Mizuho Okumura (CoRR, 2023)

A Convergence result of a continuous model of deep learning via Łojasiewicz-Simon inequality. - Noboru Isobe (CoRR, 2023)

Extended Flow Matching: a Method of Conditional Generation with Generalized Continuity Equation. - Noboru Isobe; Masanori Koyama; Kohei Hayashi; Kenji Fukumizu (CoRR, 2024)

Flow matching achieves minimax optimal convergence. - Kenji Fukumizu; Taiji Suzuki; Noboru Isobe; Kazusato Oko; Masanori Koyama (CoRR, 2024)

String Diagram of Optimal Transports. - Kazuki Watanabe 003; Noboru Isobe (CoRR, 2024)

Last Iterate Convergence in Monotone Mean Field Games. - Noboru Isobe; Kenshi Abe; Kaito Ariu (CoRR, 2024)

Sinkhorn Algorithm for Sequentially Composed Optimal Transports. - Kazuki Watanabe 003; Noboru Isobe (CoRR, 2024)

Flow matching achieves almost minimax optimal convergence. - Kenji Fukumizu; Taiji Suzuki; Noboru Isobe; Kazusato Oko; Masanori Koyama (ICLR, 2025)