Showing 2026Show all
3 papers · 1 filter
math.AG2026
Linear Independence of Polynomial Compositions with Bounded Input Degree
Xiaotian Chang, Yacoub Hendi
We prove the weak composition-independence conjectures of Kohn, Marchetti, Massarenti and Mella. The proof uses deformations of rational curves and a single kernel of the linearize…
stat.ML2026
Learning the Graphical Nature of Symmetries
Rashid Barket, Enrico Grimaldi, Yacoub Hendi +3
Finite groups are rigid algebraic objects, whose Cayley graphs expose a rich network geometry through which group-theoretic structure can be measured, compared, and learned. In thi…
cs.LG2026
The Geometry of Polynomial Group Convolutional Neural Networks
Yacoub Hendi, Daniel Persson, Magdalena Larfors
We study polynomial group convolutional neural networks (PGCNNs) for an arbitrary finite group . In particular, we introduce a new mathematical framework for PGCNNs using the la…