Researchers propose a novel evolutionary algorithm for optimizing real-valued objective functions on the Grassmann manifold.
Existing optimization techniques on the Grassmann manifold primarily rely on first- or second-order Riemannian methods, which struggle with nonconvex or multimodal landscapes.
The proposed algorithm adapts the Differential Evolution algorithm, a global, population-based optimization method, for effective operation on the Grassmann manifold.
The algorithm incorporates adaptive control parameter schemes and introduces a projection mechanism to maintain feasibility with manifold structure and explore beyond local neighborhoods.