Isometric Transformation Invariant and Equivariant Graph Convolutional Networks. - Masanobu Horie; Naoki Morita; Yu Ihara; Naoto Mitsume (CoRR, 2020)

Fundamental theorem of matrix representations of hyper-dual numbers for computing higher-order derivatives. - Yusuke Imoto; Naoya Yamanaka; Takeo Uramoto; Masato Tanaka; Masaki Fujikawa; Naoto Mitsume (JSIAM Lett., 2020)

Isometric Transformation Invariant and Equivariant Graph Convolutional Networks. - Masanobu Horie; Naoki Morita; Toshiaki Hishinuma; Yu Ihara; Naoto Mitsume (ICLR, 2021)

Physics-Embedded Neural Networks: Graph Neural PDE Solvers with Mixed Boundary Conditions. - Masanobu Horie; Naoto Mitsume (NeurIPS, 2022)

Physics-Embedded Neural Networks: E(n)-Equivariant Graph Neural PDE Solvers. - Masanobu Horie; Naoto Mitsume (CoRR, 2022)

2D Slice-driven Physics-based 3D Motion Estimation Framework for Pancreatic Radiotherapy. - Yuki Hara; Noriyuki Kadoya; Naoto Mitsume; Naoto Ienaga; Rei Umezawa; Keiichi Jingu; Yoshihiro Kuroda (CoRR, 2023)

Compatible interface wave-structure interaction model for combining mesh-free particle and finite element methods. - Naoto Mitsume (Adv. Model. Simul. Eng. Sci., 2023)

Graph Neural PDE Solvers with Conservation and Similarity-Equivariance. - Masanobu Horie; Naoto Mitsume (ICML, 2024)

Higher-continuity s-version of finite element method with B-spline functions. - Nozomi Magome; Naoki Morita; Shigeki Kaneko; Naoto Mitsume (J. Comput. Phys., 2024)