L- and V-curves for optimal smoothing

G Frasso, Paul Eilers

Research output: Contribution to journalArticleAcademicpeer-review


The L-curve is a tool for the selection of the regularization parameter in ill-posed inverse problems. It is a parametric plot of the size of the residuals vs that of the penalty. The corner of the L indicates the right amount of regularization. In the context of smoothing the L-curve is easy to compute and works surprisingly well, even for data with correlated noise. We present the theoretical background and applications to real data together with an alternative criterion for finding the corner automatically. We introduce as simplification, the V-curve, which replaces finding the corner of the L-curve by locating a minimum.
Original languageUndefined/Unknown
Pages (from-to)91-111
Number of pages21
JournalStatistical Modelling
Issue number1
Publication statusPublished - 2015

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