2 citations · 6 across the 9 of their papers we have counts for
9 papers
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…
A Nesterov-style Accelerated Gradient Descent Algorithm for the Symmetric Eigenvalue Problem
Foivos Alimisis, Simon Vary, Bart Vandereycken
We develop an accelerated gradient descent algorithm on the Grassmann manifold to compute the subspace spanned by a number of leading eigenvectors of a symmetric positive semi-defi…
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…
A Riemannian Proximal Newton Method
Wutao Si, P. -A. Absil, Wen Huang +2
In recent years, the proximal gradient method and its variants have been generalized to Riemannian manifolds for solving optimization problems with an additively separable structur…
Direct Exoplanet Detection Using L1 Norm Low-Rank Approximation
Hazan Daglayan, Simon Vary, Valentin Leplat +2
We propose to use low-rank matrix approximation using the component-wise L1-norm for direct imaging of exoplanets. Exoplanet detection by direct imaging is a challenging task for t…
Infeasible Deterministic, Stochastic, and Variance-Reduction Algorithms for Optimization under Orthogonality Constraints
Pierre Ablin, Simon Vary, Bin Gao +1
Orthogonality constraints naturally appear in many machine learning problems, from principal component analysis to robust neural network training. They are usually solved using Rie…
Low-rank plus sparse trajectory decomposition for direct exoplanet imaging
Simon Vary, Hazan Daglayan, Laurent Jacques +1
We propose a direct imaging method for the detection of exoplanets based on a combined low-rank plus structured sparse model. For this task, we develop a dictionary of possible eff…
Likelihood ratio map for direct exoplanet detection
Hazan Daglayan, Simon Vary, Faustine Cantalloube +2
Direct imaging of exoplanets is a challenging task due to the small angular distance and high contrast relative to their host star, and the presence of quasi-static noise. We propo…
Optimization flows landing on the Stiefel manifold
Bin Gao, Simon Vary, Pierre Ablin +1
We study a continuous-time system that solves optimization problems over the set of orthonormal matrices, which is also known as the Stiefel manifold. The resulting optimization fl…