Search Results for author: Noboru Isobe

Found 3 papers, 0 papers with code

Extended Flow Matching: a Method of Conditional Generation with Generalized Continuity Equation

no code implementations29 Feb 2024 Noboru Isobe, Masanori Koyama, Kohei Hayashi, Kenji Fukumizu

In this paper, we develop the theory of conditional generation based on Flow Matching, a current strong contender of diffusion methods.

A convergence result of a continuous model of deep learning via Łojasiewicz--Simon inequality

no code implementations26 Nov 2023 Noboru Isobe

This study focuses on a Wasserstein-type gradient flow, which represents an optimization process of a continuous model of a Deep Neural Network (DNN).

Variational formulations of ODE-Net as a mean-field optimal control problem and existence results

no code implementations9 Mar 2023 Noboru Isobe, Mizuho Okumura

This paper presents a mathematical analysis of ODE-Net, a continuum model of deep neural networks (DNNs).

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