Determine whether alternative aggregation rules preserve ordinal structure
Determine whether an aggregation rule other than the fixed deterministic per-attribute-type choice used in the transaction-pattern attribute database preserves ordinal structure better, particularly for education attributes, by evaluating alternatives such as threshold-based, per-attribute-type, or prior-weighted aggregation.
References
The pattern-to-user aggregation rule is fixed at a deterministic per-attribute-type choice without ablation; on education this fixed choice keeps ordinal MAE stable while losing the ordering signal (Section~\ref{sec:results}), and whether a different rule preserves ordinal structure better is left to future work.
The breadth-dispersion statistic is a new and systematic failure no earlier diagnostic surfaced: real buyers are substantially more heterogeneous in breadth than the simulator, and the statistic lies outside band in three of four cells while passing cleanly in the fourth. That axis is one the variance-injection weight does not touch, since it diversifies which brands an agent buys rather than how many. We therefore report partial transfer on one untouched axis together with a previously undetected limitation on another, and treat a breadth-generating mechanism as future work.