\caption{Early pruning illustration: primal and dual iterates.
\caption{Early pruning\footnote[frame]{principle close to node screening of \cite{Guyard_node_screening}} illustration: primal and dual iterates.
% for the optimization of~\eqref{pb:l2pl1_M:node}.
% (dashed and full lines, respectively), and the best known upper bound (dotted horizontal line). Left: pruning of the node is achieved after convergence of the primal descent algorithm minimizing~\eqref{pb:l2pl1_M:node} (here in 100 iterations), but the dual value after 10 iterations informs us that the node can be pruned (green circle). Right: in this case, the lower bound $\lbn$ is too low and the node cannot be pruned.