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math.OC2021
Nonconvex flexible sparsity regularization: theory and monotone numerical schemes
Daria Ghilli, Dirk A. Lorenz, Elena Resmerita
Flexible sparsity regularization means stably approximating sparse solutions of operator equations by using coefficient-dependent penalizations. We propose and analyse a general no…
math.OC2021
On Hamilton-Jacobi PDEs and image denoising models with certain non-additive noise
Jérôme Darbon, Tingwei Meng, Elena Resmerita
We consider image denoising problems formulated as variational problems. It is known that Hamilton-Jacobi PDEs govern the solution of such optimization problems when the noise mode…