A unified approach to convergence rates for ℓ1-regularization and lacking sparsity
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[1] Bernd Hofmann,et al. Regularization properties of the sequential discrepancy principle for Tikhonov regularization in Banach spaces , 2014 .
[2] Bernd Hofmann,et al. Parameter choice in Banach space regularization under variational inequalities , 2012 .
[3] Otmar Scherzer,et al. Variational Methods in Imaging , 2008, Applied mathematical sciences.
[4] O. Scherzer,et al. A convergence rates result for Tikhonov regularization in Banach spaces with non-smooth operators , 2007 .
[5] O. Scherzer,et al. Generalized Convergence Rates Results for Linear Inverse Problems in Hilbert Spaces , 2014, 1409.7610.
[6] Convergence rates in ℓ1-regularization when the basis is not smooth enough , 2013, 1311.1923.
[7] D. Lorenz,et al. Convergence rates and source conditions for Tikhonov regularization with sparsity constraints , 2008, 0801.1774.
[8] E. Candès,et al. Stable signal recovery from incomplete and inaccurate measurements , 2005, math/0503066.
[9] Bernd Hofmann,et al. An extension of the variational inequality approach for obtaining convergence rates in regularization of nonlinear ill-posed problems , 2010 .
[10] M. Grasmair. Generalized Bregman distances and convergence rates for non-convex regularization methods , 2010 .
[11] Martin Burger,et al. ERROR ESTIMATES FOR GENERAL FIDELITIES , 2011 .
[12] B. Hofmann,et al. The impact of a curious type of smoothness conditions on convergence rates in l1-regularization , 2013 .
[13] M. Z. Nashed,et al. A NEW APPROACH TO CLASSIFICATION AND REGULARIZATION OF ILL-POSED OPERATOR EQUATIONS , 1987 .
[14] Ronny Ramlau,et al. CONVERGENCE RATES FOR REGULARIZATION WITH SPARSITY CONSTRAINTS , 2010 .
[15] B. Hofmann,et al. On the interplay of basis smoothness and specific range conditions occurring in sparsity regularization , 2013, 1307.7493.
[16] K. Bredies,et al. Regularization with non-convex separable constraints , 2009 .
[17] Thorsten Hohage,et al. Convergence rates in expectation for Tikhonov-type regularization of inverse problems with Poisson data , 2012, 1204.1669.
[18] Martin Burger,et al. Convergence rates in $\mathbf{\ell^1}$-regularization if the sparsity assumption fails , 2012 .
[19] Jens Flemming,et al. On ℓ1-Regularization in Light of Nashed's Ill-Posedness Concept , 2015, Comput. Methods Appl. Math..