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Ignacio Santamaria

2 accepted papers

2026

Riemannian optimization on the manifold of unitary and symmetric matrices with application to BD-RIS-assisted systems

ICASSP 2026poster

In this paper, we rigorously characterize for the first time the manifold of unitary and symmetric matrices, deriving its tangent space and its geodesics. The resulting parameterization of the geodesics (through a real and symmetric matrix) allows us to derive a new Riemannian manifold optimization…

Cited by 0SourcePDFScholar
2025

A Flag Decomposition for Hierarchical Datasets

CVPR 2025poster

Flag manifolds encode nested sequences of subspaces and serve as powerful structures for various computer vision and machine learning applications. Despite their utility in tasks such as dimensionality reduction, motion averaging, and subspace clustering, current applications are often restricted to…