4 papers
Local Geometry of Least Squares for Unmixing Signals with Parameter-Dependent Dictionaries
Santos Michelena, Maxime Ferreira Da Costa, José Picheral
Modeling signals as linear combinations of atoms from a dictionary is ubiquitous in modern signal processing. In the finite-dimensional setting, whenever atoms depend nonlinearly u…
Sensor array and camera fusion via unbalanced optimal transport for 3D source localization
Ilyes Jaouedi, Gilles Chardon, José Picheral
We address the problem of localizing multiple sources in 3D by combining sensor array measurements with camera observations. We propose a fusion framework extending the covariance…
Strong Basin of Attraction for Unmixing Kernels With the Variable Projection Method
Santos Michelena, Maxime Ferreira Da Costa, José Picheral
The problem of recovering a mixture of spike signals convolved with distinct point spread functions (PSFs) lying on a parametric manifold, under the assumption that the spike locat…
Convergence Guarantees for Unmixing PSFs over a Manifold with Non-Convex Optimization
Santos Michelena, Maxime Ferreira Da Costa, José Picheral
The problem of recovering the parameters of a mixture of spike signals convolved with different PSFs is considered. Herein, the spike support is assumed to be known, while the PSFs…