math.AG

A semicontinuous relaxation of Saito’s criterion and freeness as angular minimization

Tom\'as S. R. Silva / April 6, 2026

arXiv:2604.02995v1 Announce Type: cross
Abstract: We introduce a nonnegative functional on the space of line arrangements in $\mathbb{P}^2$ that vanishes precisely on free arrangements, obtained as a semicontinuous relaxation of Saito’s criterion for …

cs.LG, math.AG

The Geometry of Polynomial Group Convolutional Neural Networks

Yacoub Hendi, Daniel Persson, Magdalena Larfors / April 1, 2026

arXiv:2603.29566v1 Announce Type: new
Abstract: We study polynomial group convolutional neural networks (PGCNNs) for an arbitrary finite group $G$. In particular, we introduce a new mathematical framework for PGCNNs using the language of graded group …