arXiv stat.ML
· Papers
Topological complexity of spiked random polynomials and finite-rank spherical integrals
arXiv:2312.12323v2 Announce Type: replace-cross Abstract: We study the annealed complexity of Gaussian random homogeneous polynomials on the $(N-1)$-dimensional unit sphere in the presence of deterministic perturbations depending on fixed orthonormal vectors and external parameters. We derive variational formulas for t