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Last edited by MakaMido (talk | contribs) 3 months ago. (Update) |
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L-curve is a visualization method used in the field of regularization in numerical analysis and mathematical optimization. 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. [1]
This method can be applied on methods of regularization of least-square problems, such as Tikhonov regularization and the Truncated SVD [1], and iterative methods of solving ill-posed inverse problems, such as the Landweber algorithm, Modified Richardson iteration and Conjugate gradient method.
References
edit- ^ a b Hansen, P. C. (2001). "The L-curve and its use in the numerical treatment of inverse problems". In Johnston, P. R. (ed.). Computational Inverse Problems in Electrocardiography (PDF). WIT Press. pp. 119–142. ISBN 978-1-85312-614-7.[page needed]