3 papers
cs.LG2025
Simplicial covering dimension of extremal concept classes
Ari Blondal, Hamed Hatami, Pooya Hatami +2
Dimension theory is a branch of topology concerned with defining and analyzing dimensions of geometric and topological spaces in purely topological terms. In this work, we adapt th…
cs.LG2025
Borsuk-Ulam and Replicable Learning of Large-Margin Halfspaces
Ari Blondal, Hamed Hatami, Pooya Hatami +2
We prove that the list replicability number of -dimensional -margin half-spaces satisfies \[ \frac{d}{2}+1 \le \mathrm{LR}(H^d_γ) \le d, \] which grows with dimension. This r…
cs.CV2024
A Bottom-Up Approach to Class-Agnostic Image Segmentation
Sebastian Dille, Ari Blondal, Sylvain Paris +1
Class-agnostic image segmentation is a crucial component in automating image editing workflows, especially in contexts where object selection traditionally involves interactive too…