For non-compact multiplication operators under white noise, the optimal balance between bias and variance is controlled by the new statistical effective ill-posedness D(α), provided the regularization vanishes for small multiplier values.
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Regularization of linear ill-posed problems involving multiplication operators
For non-compact multiplication operators under white noise, the optimal balance between bias and variance is controlled by the new statistical effective ill-posedness D(α), provided the regularization vanishes for small multiplier values.