Neural Proposals, Symbolic Guarantees: Neuro-Symbolic Graph Generation with Hard Constraints

Fuente: arXiv
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Autori principali: Geng, Chuqin, Zhang, Li, Zhang, Mark, Ye, Haolin, Zhao, Ziyu, Si, Xujie
Natura: Preprint
Pubblicazione: 2026
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author Geng, Chuqin
Zhang, Li
Zhang, Mark
Ye, Haolin
Zhao, Ziyu
Si, Xujie
author_facet Geng, Chuqin
Zhang, Li
Zhang, Mark
Ye, Haolin
Zhao, Ziyu
Si, Xujie
contents We challenge black-box purely deep neural approaches for molecules and graph generation, which are limited in controllability and lack formal guarantees. We introduce Neuro-Symbolic Graph Generative Modeling (NSGGM), a neurosymbolic framework that reapproaches molecule generation as a scaffold and interaction learning task with symbolic assembly. An autoregressive neural model proposes scaffolds and refines interaction signals, and a CPU-efficient SMT solver constructs full graphs while enforcing chemical validity, structural rules, and user-specific constraints, yielding molecules that are correct by construction and interpretable control that pure neural methods cannot provide. NSGGM delivers strong performance on both unconstrained generation and constrained generation tasks, demonstrating that neuro-symbolic modeling can match state-of-the-art generative performance while offering explicit controllability and guarantees. To evaluate more nuanced controllability, we also introduce a Logical-Constraint Molecular Benchmark, designed to test strict hard-rule satisfaction in workflows that require explicit, interpretable specifications together with verifiable compliance.
format Preprint
id arxiv_https___arxiv_org_abs_2602_16954
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Neural Proposals, Symbolic Guarantees: Neuro-Symbolic Graph Generation with Hard Constraints
Geng, Chuqin
Zhang, Li
Zhang, Mark
Ye, Haolin
Zhao, Ziyu
Si, Xujie
Machine Learning
We challenge black-box purely deep neural approaches for molecules and graph generation, which are limited in controllability and lack formal guarantees. We introduce Neuro-Symbolic Graph Generative Modeling (NSGGM), a neurosymbolic framework that reapproaches molecule generation as a scaffold and interaction learning task with symbolic assembly. An autoregressive neural model proposes scaffolds and refines interaction signals, and a CPU-efficient SMT solver constructs full graphs while enforcing chemical validity, structural rules, and user-specific constraints, yielding molecules that are correct by construction and interpretable control that pure neural methods cannot provide. NSGGM delivers strong performance on both unconstrained generation and constrained generation tasks, demonstrating that neuro-symbolic modeling can match state-of-the-art generative performance while offering explicit controllability and guarantees. To evaluate more nuanced controllability, we also introduce a Logical-Constraint Molecular Benchmark, designed to test strict hard-rule satisfaction in workflows that require explicit, interpretable specifications together with verifiable compliance.
title Neural Proposals, Symbolic Guarantees: Neuro-Symbolic Graph Generation with Hard Constraints
topic Machine Learning
url https://arxiv.org/abs/2602.16954