Towards Scalable Persistence-Based Topological Optimization

Abderrahim Bendahi, Alexandre Duplessis, Arnaud Fickinger

Persistence-based topological optimization deforms a point cloud $X\subset {\mathbb{R}}^d$ by minimizing objectives of the form $L(X)=\ell (\mathrm{Dgm}(X))$, where $\mathrm{Dgm}(X…