1. What are the contributions in this paper?
In this work the authors suggest an improved strategy for creating future databases, especially for extrinsic properties that depend on several material parameters.. The authors introduce two methods to improve the current state of the art.. Furthermore the authors show that it is more efficient to use a sequential sampling in a “ design of experiment ” scheme, rather than sampling all observations homogeneously in one batch.. This sequential design exhibits a smaller error than the simultaneous one, and thus can provide the same accuracy with fewer data points.
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![Figure 1: Energy as a function of plane inclination for a Σ9 misorientation (data from [9]).](/figures/figure-1-energy-as-a-function-of-plane-inclination-for-a-s9-2tkrbqkf.webp)
![Table 2: Simulated estimation error for different designs and the RSW functions F4, F5, F6 defined in [3] and shown in Figure 6. The total number of measurement points (misorientation angles) is n is always 50, of which n0 were chosen in a homogeneous fashion in the initial step, and ns sequentially at positions of maximum uncertainty. Thus, the first row corresponds to a completely homogeneous sampling scheme, the last row to a mostly sequential one. The numbers in bold face mark the smallest estimation error for the different designs. For more details see text.](/figures/table-2-simulated-estimation-error-for-different-designs-and-28dq40aw.webp)
![Table 1: Simulated estimation error for different designs and the RSW functions F1, F2, F3 defined in [3] and shown in Figure 6. The total number of measurement points (misorientation angles), n, is always 50, of which n0 were chosen in a homogeneous fashion in the initial step, and ns sequentially at positions of maximum uncertainty. Thus, the first row in the table corresponds to a completely homogeneous sampling scheme, the last row to a mostly sequential one. The numbers in bold face mark the smallest estimation error for the different designs. For more details see text.](/figures/table-1-simulated-estimation-error-for-different-designs-and-sbsqnrj3.webp)
![Figure 6: Six RSW energy functions considered in [3]. The RSW functions F1, F2 and F3 belong to the sets symmetric of tilt grain boundaries with fixed misorientation axis 〈100〉, 〈110〉 and 〈111〉, respectively. The other triple F4, F5 and F6 belongs to the sets of twist grain boundaries with fixed misorientation axis 〈100〉, 〈110〉 and 〈111〉, respectively. Note that, the shape parameter a given in [3] was set to a = 0.5, which only affected functions F4 and F6.](/figures/figure-6-six-rsw-energy-functions-considered-in-3-the-rsw-2ztov0ag.webp)
