QGraphLIME - Explaining Quantum Graph Neural Networks

Fuente: arXiv
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Autores principales: Jena, Haribandhu, Shivottam, Jyotirmaya, Mishra, Subhankar
Formato: Preprint
Publicado: 2025
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author Jena, Haribandhu
Shivottam, Jyotirmaya
Mishra, Subhankar
author_facet Jena, Haribandhu
Shivottam, Jyotirmaya
Mishra, Subhankar
contents Quantum graph neural networks offer a powerful paradigm for learning on graph-structured data, yet their explainability is complicated by measurement-induced stochasticity and the combinatorial nature of graph structure. In this paper, we introduce QuantumGraphLIME (QGraphLIME), a model-agnostic, post-hoc framework that treats model explanations as distributions over local surrogates fit on structure-preserving perturbations of a graph. By aggregating surrogate attributions together with their dispersion, QGraphLIME yields uncertainty-aware node and edge importance rankings for quantum graph models. The framework further provides a distribution-free, finite-sample guarantee on the size of the surrogate ensemble: a Dvoretzky-Kiefer-Wolfowitz bound ensures uniform approximation of the induced distribution of a binary class probability at target accuracy and confidence under standard independence assumptions. Empirical studies on controlled synthetic graphs with known ground truth demonstrate accurate and stable explanations, with ablations showing clear benefits of nonlinear surrogate modeling and highlighting sensitivity to perturbation design. Collectively, these results establish a principled, uncertainty-aware, and structure-sensitive approach to explaining quantum graph neural networks, and lay the groundwork for scaling to broader architectures and real-world datasets, as quantum resources mature. Code is available at https://github.com/smlab-niser/qglime.
format Preprint
id arxiv_https___arxiv_org_abs_2510_05683
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle QGraphLIME - Explaining Quantum Graph Neural Networks
Jena, Haribandhu
Shivottam, Jyotirmaya
Mishra, Subhankar
Machine Learning
Artificial Intelligence
68T05, 68T07, 68Q12
I.2.6
Quantum graph neural networks offer a powerful paradigm for learning on graph-structured data, yet their explainability is complicated by measurement-induced stochasticity and the combinatorial nature of graph structure. In this paper, we introduce QuantumGraphLIME (QGraphLIME), a model-agnostic, post-hoc framework that treats model explanations as distributions over local surrogates fit on structure-preserving perturbations of a graph. By aggregating surrogate attributions together with their dispersion, QGraphLIME yields uncertainty-aware node and edge importance rankings for quantum graph models. The framework further provides a distribution-free, finite-sample guarantee on the size of the surrogate ensemble: a Dvoretzky-Kiefer-Wolfowitz bound ensures uniform approximation of the induced distribution of a binary class probability at target accuracy and confidence under standard independence assumptions. Empirical studies on controlled synthetic graphs with known ground truth demonstrate accurate and stable explanations, with ablations showing clear benefits of nonlinear surrogate modeling and highlighting sensitivity to perturbation design. Collectively, these results establish a principled, uncertainty-aware, and structure-sensitive approach to explaining quantum graph neural networks, and lay the groundwork for scaling to broader architectures and real-world datasets, as quantum resources mature. Code is available at https://github.com/smlab-niser/qglime.
title QGraphLIME - Explaining Quantum Graph Neural Networks
topic Machine Learning
Artificial Intelligence
68T05, 68T07, 68Q12
I.2.6
url https://arxiv.org/abs/2510.05683