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Pierre-Louis Poirion

2 accepted papers

2025

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method

ICML 2025poster

Optimization with orthogonality constraints frequently arises in various fields such as machine learning. Riemannian optimization offers a powerful framework for solving these problems by equipping the constraint set with a Riemannian manifold structure and performing optimization intrinsically on t…

2025

Improving Convergence Guarantees of Random Subspace Second-order Algorithm for Nonconvex Optimization

ICLR 2025spotlight

In recent years, random subspace methods have been actively studied for large-dimensional nonconvex problems. Recent subspace methods have improved theoretical guarantees such as iteration complexity and local convergence rate while reducing computational costs by deriving descent directions in rand…

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