验证带有读出层的量化图神经网络是可判定但高度不可行的
Verifying Quantized GNNs With Readout Is Decidable But Highly Intractable
AI总结:
本文提出一种逻辑语言用于推理带有全局读出的量化聚合-结合图神经网络(ACR-GNNs),证明其验证任务为(co)NEXPTIME完全问题,表明量化GNN的验证计算上不可行,同时实验显示量化ACR-GNN模型轻量且保持良好精度和泛化能力。
摘要:
我们介绍了一种逻辑语言,用于推理带有全局读出的量化聚合-结合图神经网络(ACR-GNNs)。我们提供了逻辑特征,并利用其证明带有读出的量化GNN的验证任务是(co)NEXPTIME完全的。这一结果表明,量化GNN的验证在计算上是不可行的,促使大量研究致力于确保基于GNN的系统安全。我们还通过实验表明,量化ACR-GNN模型在保持良好精度和泛化能力的同时,具有轻量的特点。
英文摘要:
We introduce a logical language for reasoning about quantized aggregate-combine graph neural networks with global readout (ACR-GNNs). We provide a logical characterization and use it to prove that verification tasks for quantized GNNs with readout are (co)NEXPTIME-complete. This result implies that the verification of quantized GNNs is computationally intractable, prompting substantial research efforts toward ensuring the safety of GNN-based systems. We also experimentally demonstrate that quantized ACR-GNN models are lightweight while maintaining good accuracy and generalization capabilities with respect to non-quantized models.
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