1 code implementation • 4 Feb 2024 • Snir Hordan, Tal Amir, Nadav Dym
Recently, GNNs whose expressive power is equivalent to the $2$-WL test were proven to be universal on weighted graphs which encode $3\mathrm{D}$ point cloud data, yet this result is limited to invariant continuous functions on point clouds.
no code implementations • 31 Jan 2023 • Snir Hordan, Tal Amir, Steven J. Gortler, Nadav Dym
Neural networks for point clouds, which respect their natural invariance to permutation and rigid motion, have enjoyed recent success in modeling geometric phenomena, from molecular dynamics to recommender systems.