Figure 3.

A hypothetical experiment with (a) 200 and (b) 400 samples uniformly distributed over the stimulus space . The stimulus-response relation (ground truth), shown as dashed line, is inferred without taking information from proximal x into account. The thick continuous line shows the first moment $\mathbb{E}[p_{x,s}\mid {\mathit{Y}}_{{\mathit{n}}_{\mathcal{X}}}^{\mathcal{X}}]$ of the stimulus-response function given all outcomes of previous measurements. The standard deviation is shown as a thin continuous line around the expectation. The marginal posterior density $f(p_{x,s}\mid {\mathit{Y}}_{{\mathit{n}}_{\mathcal{X}}}^{\mathcal{X}})$ is plotted as shadings in the back of the figure. The number of measurements at each x ∈ is shown as a bar plot in the lower plot with utility U (x) (thin continuous line), which is the negative number of counts, see (17).