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cs.LG2024
Graph Neural PDE Solvers with Conservation and Similarity-Equivariance
Masanobu Horie, Naoto Mitsume
Utilizing machine learning to address partial differential equations (PDEs) presents significant challenges due to the diversity of spatial domains and their corresponding state co…
cs.LG2020
Isometric Transformation Invariant and Equivariant Graph Convolutional Networks
Masanobu Horie, Naoki Morita, Toshiaki Hishinuma +2
Graphs are one of the most important data structures for representing pairwise relations between objects. Specifically, a graph embedded in a Euclidean space is essential to solvin…