Flowette: Flow Matching with Graphette Priors for Graph Generation

• URL: http://arxiv.org/abs/2602.23566v1
• Date: Fri, 27 Feb 2026 00:22:21 GMT
• Title: Flowette: Flow Matching with Graphette Priors for Graph Generation
• Authors: Asiri Wijesinghe, Sevvandi Kandanaarachchi, Daniel M. Steinberg, Cheng Soon Ong,
• Abstract summary: Flowette is a continuous flow matching framework that employs a graph neural network based transformer to learn a velocity field defined over graph representations with node and edge attributes.<n>To incorporate domain driven structural priors, we introduce graphettes, a new probabilistic family of graph structure models that generalize graphons via controlled structural edits for motifs like rings, stars and trees.<n>Flowette demonstrates consistent improvements, highlighting the effectiveness of combining structural priors with flow-based training for modeling complex graph distributions.
• Score: 8.684988468368454
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study generative modeling of graphs with recurring subgraph motifs. We propose Flowette, a continuous flow matching framework, that employs a graph neural network based transformer to learn a velocity field defined over graph representations with node and edge attributes. Our model preserves topology through optimal transport based coupling, and long-range structural dependencies through regularisation. To incorporate domain driven structural priors, we introduce graphettes, a new probabilistic family of graph structure models that generalize graphons via controlled structural edits for motifs like rings, stars and trees. We theoretically analyze the coupling, invariance, and structural properties of the proposed framework, and empirically evaluate it on synthetic and small-molecule graph generation tasks. Flowette demonstrates consistent improvements, highlighting the effectiveness of combining structural priors with flow-based training for modeling complex graph distributions.

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