1 citations · 1 across the 9 of their papers we have counts for
9 papers
Smooth Reparameterizations of Functions on Simplicial Product Spaces: Applications to Probabilistic Tensor Decomposition and Functional Data Registration
Shashwat Kumar, Arafat Rahman, Anuj Srivastava +1
We consider optimization problems defined on product spaces of simplices. Examples of this class of problems include learning low-rank discrete multivariate probability distributio…
Diffeomorphic Logarithm of Special Orthogonal Matrices
Zhifeng Deng, P. -A. Absil, Kyle A. Gallivan +1
The special orthogonal group is a Lie group whose geometry and local structure are encoded by the exponential map in its Lie algebra , the set of s…
A Jacobi-like algorithm for normal matrices by the skew-symmetric part
Simon Mataigne, P. -A. Absil
We present a fast Jacobi-like algorithm for computing the eigenvalues, and optionally the eigenvectors, of a real normal matrix. The method gains a computational advantage by using…
The sketched landing method for large-scale optimization under orthogonality constraints
Florentin Goyens, Simon Mataigne, Pierre-Antoine Absil
We propose the sketched landing method, a randomized variant of the landing method for optimization under orthogonality constraints. Each landing step consists of the sum of a norm…
Shortest Geodesic Loops, Sectional Curvature, and Injectivity Radius of the Stiefel Manifold
Jakob Stoye, Simon Mataigne, P. -A. Absil +1
We determine the length of the shortest nontrivial geodesic loops on the Stiefel manifold endowed with any member of the one-parameter family of Riemannian metrics introduced by Hü…
On the approximation of the Riemannian barycenter
Simon Mataigne, P. -A. Absil, Nina Miolane
We present a method for computing an approximate Riemannian barycenter of a collection of points lying on a Riemannian manifold. Our approach relies on the use of theoretically pro…
An Alternating Minimization Algorithm with Trajectory for Direct Exoplanet Detection -- The AMAT Algorithm
Hazan Daglayan, Simon Vary, Olivier Absil +6
Effective image post-processing algorithms are vital for the successful direct imaging of exoplanets. Standard PSF subtraction methods use techniques based on a low-rank approximat…
Bounds on the geodesic distances on the Stiefel manifold for a family of Riemannian metrics
Simon Mataigne, P. -A. Absil, Nina Miolane
We give bounds on geodesic distances on the Stiefel manifold, derived from new geometric insights. The considered geodesic distances are induced by the one-parameter family of Riem…
Optimization without Retraction on the Random Generalized Stiefel Manifold
Simon Vary, Pierre Ablin, Bin Gao +1
Optimization over the set of matrices that satisfy , referred to as the generalized Stiefel manifold, appears in many applications involving sampled covarianc…