Search Results for author: Christopher Criscitiello

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Accelerated Methods for Riemannian Min-Max Optimization Ensuring Bounded Geometric Penalties

no code implementations25 May 2023 David Martínez-Rubio, Christophe Roux, Christopher Criscitiello, Sebastian Pokutta

In this work, we study optimization problems of the form $\min_x \max_y f(x, y)$, where $f(x, y)$ is defined on a product Riemannian manifold $\mathcal{M} \times \mathcal{N}$ and is $\mu_x$-strongly geodesically convex (g-convex) in $x$ and $\mu_y$-strongly g-concave in $y$, for $\mu_x, \mu_y \geq 0$.

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