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Using the discrepancy principle, we provide a new a posteriori parameter choice rule.
We propose to choose the regularization parameter by an a posteriori rule using the discrepancy principle.
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Furthermore, if we use the discrepancy principle we can avoid the selection of the a priori bound.
New implementations that are particularly well suited for use with the discrepancy principle are described.
Using the Morozov discrepancy principle, we obtain an a posteriori parameter choice rule which only depends on the measured data.
Performance analyzes of the LPIC detector using the Morozov discrepancy principle showed that the value of the weighting factor should tradeoff between two conflicting goals: convergence speed and small discrepancy error.
The stopping criteria used when iterating Eq. (18) is the discrepancy principle [ 24], in that the iterations are stopped when the norm of the residual has reached the noise level within a certain tolerance.
During the infant's third month a second principle, called the discrepancy principle, begins to assume precedence.
The discrepancy principle requires that an estimate of the norm of the noise in the contaminated image be available.
The other method is based on the discrepancy principle, which requires that the variance of the discrepancy between the calculated and measured responses is close to the variance of the measurement noise.
In this section, we consider the determination of (alpha(delta)) from the discrepancy principle of Morozov.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com