P
Pierre-Antoine Absil
Researcher at Université catholique de Louvain
Publications - 219
Citations - 10316
Pierre-Antoine Absil is an academic researcher from Université catholique de Louvain. The author has contributed to research in topics: Rank (linear algebra) & Manifold. The author has an hindex of 40, co-authored 201 publications receiving 9026 citations. Previous affiliations of Pierre-Antoine Absil include Florida State University & University College London.
Papers
More filters
Book
Optimization Algorithms on Matrix Manifolds
TL;DR: Optimization Algorithms on Matrix Manifolds offers techniques with broad applications in linear algebra, signal processing, data mining, computer vision, and statistical analysis and will be of interest to applied mathematicians, engineers, and computer scientists.
Journal Article
Manopt, a matlab toolbox for optimization on manifolds
TL;DR: The Manopt toolbox as discussed by the authors is a user-friendly, documented piece of software dedicated to simplify experimenting with state-of-the-art Riemannian optimization algorithms.
Journal ArticleDOI
Trust-Region Methods on Riemannian Manifolds
TL;DR: A general scheme for trust-region methods on Riemannian manifolds is proposed and analyzed, and particular attention is paid to the truncated conjugate-gradient technique.
Journal ArticleDOI
Riemannian Geometry of Grassmann Manifolds with a View on Algorithmic Computation
TL;DR: In this article, simple formulas for the canonical metric, gradient, Lie derivative, Riemannian connection, parallel translation, geodesics and distance on the Grassmann manifold of p-planes in R n were given.
Journal ArticleDOI
Convergence of the Iterates of Descent Methods for Analytic Cost Functions
TL;DR: It is shown that the iterates of numerical descent algorithms, for an analytic cost function, share this convergence property if they satisfy certain natural descent conditions and strengthen classical "weak convergence" results for descent methods to "strong limit-point convergence" for a large class of cost functions of practical interest.