Explaining GNN-Based Recommendations in Logic

This paper proposes Makex (MAKE senSE), a logic approach to explaining why a GNN-based model M ( x, y ) recommends item y to user x. It proposes a class of Rules for ExPlanations, denoted as REPs and defined with a graph pattern Q and dependency X → M ( x, y ), where X is a collection of predicates, and the model M ( x, y ) is treated as the consequence of the rule. Intuitively, given M ( x, y ), we discover pattern Q to identify relevant topology, and precondition X to disclose correlations, interactions and dependencies of vertex features; together they provide rationals behind prediction M ( x, y ), identifying what features are decisive for M to make predictions and under what conditions the decision can be made. We (a) define REPs with 1-WL test, on which most GNN models for recommendation are based; (b) develop an algorithm for discovering REPs for M as global explanations, and (c) provide a top- k algorithm to compute top-ranked local explanations. Using real-life graphs, we empirically verify that Makex outperforms previous explanation methods in terms of fidelity, sparsity and efficiency.