@@ -88,7 +88,7 @@ and $g$ for an exploration with different base scores.
8888 )
8989 ```
9090
91- ??? Surface of the discounted utility function
91+ ??? " Surface of the discounted utility function"
9292 The level curves for $f(x)=x$ and $g(x)=e^x$ are depicted below. The lines
9393 illustrate the contour lines, annotated with their respective gradients.
9494 ![ Level curves of the class-wise
@@ -117,7 +117,10 @@ the scale of the features. The following table shows the datasets used in the
117117experiments. In general there are three different experiments: point removal, noise
118118removal and a distribution analysis. Metrics are evaluated as tables for mean and
119119coefficient of variation (CV) $\frac{\sigma}{\mu}$ of an inner metric. The former
120- displays the performance of the method, whereas the latter displays the repeatability of
120+ displays the performance of the method, whereas the latter displays the stability of a
121+ method. We normalize by the mean to make standard deviations for different runs
122+ comparable.
123+
121124the method. We assume the mean has to be maximized and the CV has to be minimized.
122125Furthermore, we remark that for all sampling-based valuation methods the same number of
123126_ evaluations of the marginal utility_ was used. This is important, to make the
@@ -231,8 +234,8 @@ dataset.
231234CWS] ( img/classwise-shapley-density.svg ) { class=invertible }
232235
233236Similar to the behaviour of the CV from the previous section, the variance of CWS is
234- lower than for TCMS. They seem to approximate the same of distribution, although their
235- utility functions are quite different.
237+ lower than for TCMS. They seem to approximate the same mode although their utility
238+ function is very different.
236239
237240For ` Click ` TMCS has a multi-modal distribution of values. This is inferior to CWS which
238241has only one-mode and is more stable on that dataset. ` Click ` is a very unbalanced
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