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A scalable estimator of sets of integral operators
- Source :
- in Proceedings of iTWIST'18, Paper-ID: 2, Marseille, France, November, 21-23, 2018
- Publication Year :
- 2018
-
Abstract
- We propose a scalable method to find a subspace $\widehat{\mathcal{H}}$ of low-rank tensors that simultaneously approximates a set of integral operators. The method can be seen as a generalization of the Tucker-2 decomposition model, which was never used in this context. In addition, we propose to construct a convex set $\widehat{\mathcal{C}} \subset \widehat{\mathcal{H}}$ as the convex hull of the observed operators. It is a minimax optimal estimator under the Nikodym metric. We then provide an efficient algorithm to compute projection on $\widehat{\mathcal{C}}$. We observe a good empirical behavior of the method in simulations. The main aim of this work is to improve the identifiability of complex linear operators in blind inverse problems.
- Subjects :
- Electrical Engineering and Systems Science - Signal Processing
Subjects
Details
- Database :
- arXiv
- Journal :
- in Proceedings of iTWIST'18, Paper-ID: 2, Marseille, France, November, 21-23, 2018
- Publication Type :
- Report
- Accession number :
- edsarx.1811.12192
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1088/1361-6420/ab2fb3