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L-curve

Visualization method From Wikipedia, the free encyclopedia

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L-curve is a visualization method used in the field of regularization in numerical analysis and mathematical optimization.[1] It represents a logarithmic plot where the norm of a regularized solution is plotted against the norm of the corresponding residual norm. It is useful for picking an appropriate regularization parameter for the given data.[2]

This method can be applied on methods of regularization of least-square problems, such as Tikhonov regularization and the Truncated SVD,[2] and iterative methods of solving ill-posed inverse problems, such as the Landweber algorithm, Modified Richardson iteration and Conjugate gradient method.

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