BRENDEL, Elliot (2016) Phase transition in Total Variation Regularization PRE - Research Project, ENSTA.
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Abstract
After formalising the phase transition issue for the Compressive Sensing (CS) and the Total Variation Regularization (TVR) cases, we attempt to compute bounds for the phase transition using a graph-theory point of view and adapting a scientific paper [1]. Second, we study the algorithmic aspect of the problem. We also try to compute directly the algorithmic phase transition and we expose our analysis of a modified algorithm. This work allows us to enlighten comparisons between algorithms. We finish being open on the question of the phase transition for practical applications.
| Item Type: | Thesis (PRE - Research Project) |
|---|---|
| Uncontrolled Keywords: | Compressive sensing, total variation regularization, tomography, phase transition, GPU programming, reconstruction algorithms. |
| Subjects: | Information and Communication Sciences and Technologies Mathematics and Applications Physics, Optics |
| ID Code: | 6732 |
| Deposited By: | Elliot Brendel |
| Deposited On: | 13 oct. 2016 10:48 |
| Dernière modification: | 13 oct. 2016 10:48 |
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