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Convergence Rates of General Regularization Methods for Statistical Inverse Problems and Applications

Convergence Rates of General Regularization Methods for Statistical Inverse Problems and Applications

Previously, the convergence analysis for linear statistical inverse problems has mainly focused on spectral cut-off and Tikhonov-type estimators. Spectral cut-off estimators achieve minimax rates for a broad range of smoothness classes and operators, but their practical usefulness is limited by the fact that they require a complete spectral decomposition of …