\(2\left(\boldsymbol{\beta}^\top_1\mathbf{x}\right)^2 + 2\exp\left(\boldsymbol{\beta}^\top_2\mathbf{x}\right)\epsilon\) (both papers)
SSPs

Sim boxplots

\(\left(\boldsymbol{\beta}^\top_1\mathbf{x}\right) + \left(\boldsymbol{\beta}^\top_2\mathbf{x}\right)^2\epsilon\)
SSPs

Sim boxplots

\(3\sin^{2}\left(\boldsymbol{\beta}^\top_1\mathbf{x}/4\right) + 0.2\left(1 + \left(\boldsymbol{\beta}^\top_2\mathbf{x}\right)^2\right)\epsilon\)
SSPs

Sim boxplots

\(3\sin\left(\boldsymbol{\beta}^\top_1\mathbf{x}/4\right) + 0.2\left(1 + \left(\boldsymbol{\beta}^\top_2\mathbf{x}\right)^2\right)\epsilon\)
SSPs

Sim boxplots

\(0.5\left(\boldsymbol{\beta}^\top_1\mathbf{x}\right)^3 + 0.5\left(1 + \boldsymbol{\beta}^\top_2\mathbf{x}\right)^2 + 0.2\epsilon\) (both papers)
SSPs

Sim boxplots

\(\displaystyle\frac{\boldsymbol{\beta}^\top_1\mathbf{x}}{0.5 + \left(1.5 + \boldsymbol{\beta}^\top_2\mathbf{x}\right)^2} + 0.1\epsilon\) (first paper)
SSPs

Sim boxplots

\(\displaystyle\frac{\boldsymbol{\beta}^\top_1\mathbf{x}}{0.5 + \left(1.5 + \boldsymbol{\beta}^\top_2\mathbf{x}\right)^2} + 0.1\epsilon\) (first paper). Nonelliptical contour distribution
SSPs

Sim boxplots
