end{aligned} (3)We optimized the parameters (alpha) and (beta) to minimize the evaluation function (E_{m}).
Red line shows PM solution of the MCMC calculations; gray line shows the top 5% of solutions that minimize the evaluation function (Eq. 4).
The slip distribution that minimized the evaluation function better reproduced images in terms of both area and amplitude compared to other methods.
We take possible candidate sets of the model parameters in order to minimize the evaluation function in Eq. 4, i.e., the probability distribution function of the posterior probability p(s|d; α ', β ', ν) in terms of the Bayesian estimation.
The model parameter (s), which minimizes the evaluation function in Eq. 4, is expected to be the best solution in terms of satisfying the reproducibility of the observation, the continuity of the slip with a discontinuous boundary, and the sparsity of a slip area.
In the depth profile in Fig. 4i, several solutions of the top 5% of solutions that minimize the evaluation function (Eq. 4) showed a few zero- and nearly-zero-slip subfaults within the coseismic slip area (gray lines in Fig. 4i).
Figure 4 shows the root-mean-square (RMS) errors (the square root of the average of the squared residuals between the true and estimated values) for the values of ϕ and α that minimize the evaluation function E for each iteration of the steepest descent method.
The retained values are α1 = 1, α2 = 0.1, β1 = 0.1, and β2 = 0.1, which are chosen to minimize the average evaluation errors for synthetic data.
An advantage of this practice is to evaluate the artifacts before introducing them directly in industrial practice, thereby minimizing the impact of an evaluation involving real projects.
Second, the equal access to care independent of a patient's financial status provided by the Veterans Health Administration (32) permits epidemiologic evaluations while minimizing the influence of disparities in medical care (33).
