File(s) not publicly available
Selecting the corner in the L-curve approach to Tikhonov regularization
journal contribution
posted on 2023-05-16, 12:04 authored by Johnston, PR, Gulrajani, MThe performance of two methods for selecting the corner in the L-curve approach to Tikhonov regularization is evaluated via computer simulation. These methods are selecting the corner as the point of maximum curvature in the L-curve, and selecting it as the point where the product of abcissa and ordinate is a minimum. It is shown that both these methods resulted in significantly better regularization parameters than that obtained with an often-used empirical Composite REsidual and Smoothing Operator approach, particularly in conditions where correlated geometry noise exceeds Gaussian measurement noise. It is also shown that the regularization parameter that results with the minimum-product method is identical to that selected with another empirical zero-crossing approach proposed earlier. | The performance of two methods for selecting the corner in the L-curve approach to Tikhonov regularization is evaluated via computer simulation. These methods are selecting the corner as the point of maximum curvature in the L-curve, and selecting it as the point where the product of abcissa and ordinate is a minimum. It is shown that both these methods resulted in significantly better regularization parameters than that obtained with an often-used empirical Composite REsidual and Smoothing Operator approach, particularly in conditions where correlated geometry noise exceeds Gaussian measurement noise. It is also shown that the regularization parameter that results with the minimum-product method is identical to that selected with another empirical zero-crossing approach proposed earlier.
History
Publication title
IEEE Transactions on Biomedical EngineeringVolume
47Issue
9Pagination
1293-1296ISSN
0018-9294Department/School
Tasmanian School of MedicinePublisher
IEEE Engineering in Medicine & Biology SocietyPlace of publication
USARepository Status
- Restricted