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Beyond Edge Deletion: A Comprehensive Approach to Counterfactual Explanation in Graph Neural Networks

About

Graph Neural Networks (GNNs) are increasingly adopted across domains such as molecular biology and social network analysis, yet their black-box nature hinders interpretability and trust. This is especially problematic in high-stakes applications, such as predicting molecule toxicity, drug discovery, or guiding financial fraud detections, where transparent explanations are essential. Counterfactual explanations - minimal changes that flip a model's prediction - offer a transparent lens into GNNs' behavior. In this work, we introduce XPlore, a novel technique that significantly broadens the counterfactual search space. It consists of gradient-guided perturbations to adjacency and node feature matrices. Unlike most prior methods, which focus solely on edge deletions, our approach belongs to the growing class of techniques that optimize edge insertions and node-feature perturbations, here jointly performed under a unified gradient-based framework, enabling a richer and more nuanced exploration of counterfactuals. To quantify both structural and semantic fidelity, we introduce a cosine similarity metric for learned graph embeddings that addresses a key limitation of traditional distance-based metrics, and demonstrate that XPlore produces more coherent and minimal counterfactuals. Empirical results on 13 real-world and 5 synthetic benchmarks show up to +56.3% improvement in validity and +52.8% in fidelity over state-of-the-art baselines, while retaining competitive runtime.

Matteo De Sanctis, Riccardo De Sanctis, Stefano Faralli, Paola Velardi, Bardh Prenkaj• 2026

Related benchmarks

TaskDatasetResultRank
Counterfactual ExplanationTCR
Validity100
14
Counterfactual ExplanationTG
Validity100
7
Counterfactual ExplanationBAS
Validity100
7
Counterfactual ExplanationMUTAG
Validity67.55
7
Counterfactual ExplanationBZR
Validity100
7
Counterfactual ExplanationAIDS
Validity32.3
7
Counterfactual ExplanationBBBP
Validity81.51
7
Counterfactual ExplanationENZYMES
Validity100
7
Counterfactual ExplanationPROTEINS
Validity65.41
7
Counterfactual ExplanationFingerprint
Validity100
7
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