4 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…
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…