2 papers
math.OC2025
Sharper Convergence Rates for Nonconvex Optimisation via Reduction Mappings
Evan Markou, Thalaiyasingam Ajanthan, Stephen Gould
Many high-dimensional optimisation problems exhibit rich geometric structures in their set of minimisers, often forming smooth manifolds due to over-parametrisation or symmetries.…
cs.LG2024
Guiding Neural Collapse: Optimising Towards the Nearest Simplex Equiangular Tight Frame
Evan Markou, Thalaiyasingam Ajanthan, Stephen Gould
Neural Collapse (NC) is a recently observed phenomenon in neural networks that characterises the solution space of the final classifier layer when trained until zero training loss.…