5 papers
Smooth projective surfaces with bounded cohomology property II
Sichen Li
Let be a smooth projective surface with Picard number two, where either is a geometrically ruled surface or the closed Mori cone is rational polyhedral. In this paper, we c…
Planar Symmetric Pattern Generation
Ning Lin, Luxi Chen, Huaguan Chen +4
Generating objects with specific symmetries is essential in various real-world scenarios. However, adapting existing 2D continuous representations to enforce planar group symmetry…
Geometric Mixture Models for Electrolyte Conductivity Prediction
Anyi Li, Jiacheng Cen, Songyou Li +3
Accurate prediction of ionic conductivity in electrolyte systems is crucial for advancing numerous scientific and technological applications. While significant progress has been ma…
Are High-Degree Representations Really Unnecessary in Equivariant Graph Neural Networks?
Jiacheng Cen, Anyi Li, Ning Lin +3
Equivariant Graph Neural Networks (GNNs) that incorporate E(3) symmetry have achieved significant success in various scientific applications. As one of the most successful models,…
Fast and Distributed Equivariant Graph Neural Networks by Virtual Node Learning
Yuelin Zhang, Jiacheng Cen, Jiaqi Han +1
Equivariant Graph Neural Networks (GNNs) have achieved remarkable success across diverse scientific applications. However, existing approaches face critical efficiency challenges w…