Hyperspectral Uncertainty Quantification by Optimization

Abdullah Abdulaziz, Audrey Repetti, Yves Wiaux

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Abstract

We leverage convex optimization techniques to perform
Bayesian uncertainty quantification (UQ) for hyperspectral (HS) inverse
imaging problems. The proposed approach generalizes our recent work
for single-channel UQ [1]. Similarly, the Bayesian hypothesis test is
formulated as a convex minimization problem and solved using a primaldual
algorithm to quantify the uncertainty associated with particular 3D
structures appearing in the maximum a posteriori (MAP) estimate of the
HS cube. We investigate the interest of the proposed method for wideband
radio-interferometric (RI) imaging that consists in inferring the wideband
sky image from incomplete and noisy Fourier measurements. We showcase
the performance of our approach on realistic simulations.
Original languageEnglish
Title of host publicationSPARS 2019
Number of pages2
Publication statusPublished - 1 Jul 2019
EventSignal Processing with Adaptive Sparse Structured Representations (SPARS) workshop - Toulouse, France
Duration: 1 Jul 20194 Jul 2019

Workshop

WorkshopSignal Processing with Adaptive Sparse Structured Representations (SPARS) workshop
Abbreviated titleSPARS 2019
CountryFrance
CityToulouse
Period1/07/194/07/19

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