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NeuSymEA: Neuro-symbolic Entity Alignment via Variational Inference

NeurIPS 2025 · Probabilistic and scientific modeling › Molecules and proteins · approach: Sparse concepts and hypothesis testing · 1 citations (OpenAlex)

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Proposes NeuSymEA, a neuro-symbolic entity alignment framework that models joint truth-score probabilities in a Markov random field with weighted cross-KG rules, optimized by variational EM with a neural E-step and logic-deduction-based symbolic M-step.

Problem

Entity alignment between knowledge graphs suffers from substructure heterogeneity and sparsity for symbolic methods, lack of interpretability and uncertainty handling for neural methods, and an exponentially large rule search space for long rules.

Approach

Model the joint probability of all entity-pair alignment indicators in a Markov random field regulated by weighted cross-KG rules, optimize with variational EM (neural model as the variational distribution in E-step, rule weights updated in M-step), and decompose long rules into unit-length sub-rules via logic deduction for efficient inference and explanation.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use NeuSymEA-D instead of LightEADBP15K full JA-EN · DBP15K full JA-ENHit@1: 0.736 -> 0.806Helped
Use NeuSymEA-L instead of LightEADBP15K full FR-EN · DBP15K full FR-ENHit@1: 0.782 -> 0.834Helped
Use NeuSymEA-D instead of LightEADBP15K full ZH-EN · DBP15K full ZH-ENHit@1: 0.725 -> 0.801Helped
Use NeuSymEA-L instead of RREADBP15K condensed JA-EN · DBP15K condensed JA-ENHit@1: 0.749 -> 0.811Helped
Use NeuSymEA-L instead of LightEADBP15K condensed FR-EN · DBP15K condensed FR-ENHit@1: 0.827 -> 0.858Helped
Use NeuSymEA-D instead of LightEADBP15K condensed ZH-EN · DBP15K condensed ZH-ENHit@1: 0.770 -> 0.815Helped
Use NeuSymEA-L instead of LightEA with 1% training pairsDBP15K FR-EN · DBP15K FR-EN, 1% training pairsH@1: 0.430 -> 0.737Helped
Use NeuSymEA-L instead of EMEA with 1% training pairsDBP15K JA-EN · DBP15K JA-EN, 1% training pairsH@1: 0.411 -> 0.632Helped
Use NeuSymEA-L instead of EMEA with 1% training pairsDBP15K ZH-EN · DBP15K ZH-EN, 1% training pairsH@1: 0.517 -> 0.676Helped

Surprising findings

Limitations

Experimental setup

Datasets: DBP15K OpenEA DBP1M

Benchmarks: DBP15K OpenEA DBP1M

Metrics: Hit@1 Hit@10 MRR precision recall runtime

Baselines: GCNAlign AlignE BootEA RREA Dual-AMN LightEA PEEA PARIS PRASE EMEA

Builds on: variational EM PRASE EMEA LightEA Dual-AMN

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