3 papers
cs.LG2026
Grokking Finite-Dimensional Algebra
Pascal Jr Tikeng Notsawo, Guillaume Dumas, Guillaume Rabusseau
This paper investigates the grokking phenomenon, which refers to the sudden transition from a long memorization to generalization observed during neural networks training, in the c…
math.GR2026
On free components of Artin and Coxeter groups
Guillaume Dumas, Jingyin Huang, Srivatsav Kunnawalkam Elayavalli +1
The number of connected components can be remembered by the von Neumann algebra among Artin groups, the only possible exception being the case that corresponds to the free group fa…
math.GR2025
Cartan motion groups: regularity of K-finite matrix coefficients
Guillaume Dumas
If is a connected semisimple Lie group with finite center and is a maximal compact subgroup of G, then the Lie algebra of admits a Cartan decomposition $\mathfrak{g}=\m…