arXiv — Machine Learning · · 3 min read

GraViti: Graph-Level Variational Autoencoders with Relaxed Permutation Invariance

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Computer Science > Machine Learning

arXiv:2605.16668 (cs)
[Submitted on 15 May 2026]

Title:GraViti: Graph-Level Variational Autoencoders with Relaxed Permutation Invariance

View a PDF of the paper titled GraViti: Graph-Level Variational Autoencoders with Relaxed Permutation Invariance, by Roman Bresson and Konstantinos Divriotis and Johannes F. Lutzeyer and Iakovos Evdaimon and Michalis Vazirgiannis
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Abstract:We introduce GraViti, a transformer-based graph-level variational autoencoder that maps entire graphs to compact latent vectors. This design produces a true graph-level latent space that supports smooth interpolation, property-guided search, and other downstream tasks beyond the constraints of node-level embeddings. On molecular benchmarks, GraViti learns to decode valid samples that follow the chemical constraints present in the training data, showing that the model recovers domain rules directly from graph-level representations. We also show that, in domains where a reliable canonical node ordering exists such as molecules or bayesian networks, enforcing permutation invariance can prove detrimental for consistent reconstruction. GraViti achieves state-of-the-art reconstruction accuracy on large datasets, and provides solid generative performance. Its single-step decoding offers a lightweight alternative to more complex generation pipelines while maintaining practical sample quality.
Subjects: Machine Learning (cs.LG); Artificial Intelligence (cs.AI)
Cite as: arXiv:2605.16668 [cs.LG]
  (or arXiv:2605.16668v1 [cs.LG] for this version)
  https://doi.org/10.48550/arXiv.2605.16668
arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Roman Bresson [view email]
[v1] Fri, 15 May 2026 22:08:45 UTC (855 KB)
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