  User post-click conversion prediction is of high interest to researchers and
developers. Recent studies employ multi-task learning to tackle the selection
bias and data sparsity problem, two severe challenges in post-click behavior
prediction, by incorporating click data. However, prior works mainly focused on
pointwise learning and the orders of labels (i.e., click and post-click) are
not well explored, which naturally poses a listwise learning problem. Inspired
by recent advances on differentiable sorting, in this paper, we propose a novel
multi-task framework that leverages orders of user behaviors to predict user
post-click conversion in an end-to-end approach. Specifically, we define an
aggregation operator to combine predicted outputs of different tasks to a
unified score, then we use the computed scores to model the label relations via
differentiable sorting. Extensive experiments on public and industrial datasets
show the superiority of our proposed model against competitive baselines.
