before and after the non-negative least squares (NNLS) recombination step when the sample covariance is split into two blocks. The paths are plotted for all values of the tuning parameter $\lambda$.

![*Coefficient paths for : the naive elastic net (top left), the non naive elastic net (top right), the component lasso before non-negative least squares (bottom left), and the component lasso (bottom right). The signal variables are shown in blue, while the non-signal variables are in red.*[]{data-label="fig:paths"}](naiveen_path.png){width="\linewidth"}

![*Coefficient paths for : the naive elastic net (top left), the non naive elastic net (top right), the component lasso before non-negative least squares (bottom left), and the component lasso (bottom right). The signal variables are shown in blue, while the non-signal variables are in red.*[]{data-label="fig:paths"}](en_path.png){width="\linewidth"}

![*Coefficient paths for : the naive elastic net (top left), the non naive elastic net (top right), the component lasso before non-negative least squares (bottom left), and the component lasso (bottom right). The signal variables are shown in blue, while the non-signal variables are in red.*[]{data-label="fig:paths"}](cl_nonnls.png){width="\linewidth"}

![*Coefficient paths for : the naive elastic net (top left), the non naive elastic net (top right), the component lasso before non-negative least squares (bottom left), and the component lasso (bottom 