M. Burger

activity

20112024

most citedMaximum-A-Posteriori Estimates in Linear Inverse Problems with Log-concave Priors are Proper Bayes Estimators

55 citations · 598 across the 84 of their papers we have counts for

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Showing 2012 · math.NAShow all

2 papers · 2 filters

math.NA2012

Ground States and Singular Vectors of Convex Variational Regularization Methods

Martin Benning, Martin Burger

Singular value decomposition is the key tool in the analysis and understanding of linear regularization methods. In the last decade nonlinear variational approaches such as $\ell^1…

math.NA2012★ 28 cited

Convergence rates in $ℓ^{1}$ -regularization if the sparsity assumption fails

Martin Burger, Jens Flemming, Bernd Hofmann

Variational sparsity regularization based on $ℓ^{1}$ -norms and other nonlinear functionals has gained enormous attention recently, both with respect to its applications and its ma…

Ground States and Singular Vectors of Convex Variational Regularization Methods

Convergence rates in ℓ1-regularization if the sparsity assumption fails

Convergence rates in $ℓ^{1}$ -regularization if the sparsity assumption fails