1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.OC2025
Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms
Christopher Criscitiello, Jungbin Kim
Geodesic convexity (g-convexity) is a natural generalization of convexity to Riemannian manifolds. However, g-convexity lacks many desirable properties satisfied by Euclidean conve…
math.OC2023
Open Problem: Polynomial linearly-convergent method for geodesically convex optimization?
Christopher Criscitiello, David Martínez-Rubio, Nicolas Boumal
Let be a Lipschitz and geodesically convex function defined on a -dimensional Riemannian manifold . Does there exist a first-o…
math.OC2023★ 1 cited
Curvature and complexity: Better lower bounds for geodesically convex optimization
Christopher Criscitiello, Nicolas Boumal
We study the query complexity of geodesically convex (g-convex) optimization on a manifold. To isolate the effect of that manifold's curvature, we primarily focus on hyperbolic spa…