The quest for the GRAph Level autoEncoder (GRALE)

Fuente: arXiv
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Main Authors: Krzakala, Paul, Melo, Gabriel, Laclau, Charlotte, d'Alché-Buc, Florence, Flamary, Rémi
Format: Preprint
Published: 2025
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author Krzakala, Paul
Melo, Gabriel
Laclau, Charlotte
d'Alché-Buc, Florence
Flamary, Rémi
author_facet Krzakala, Paul
Melo, Gabriel
Laclau, Charlotte
d'Alché-Buc, Florence
Flamary, Rémi
contents Although graph-based learning has attracted a lot of attention, graph representation learning is still a challenging task whose resolution may impact key application fields such as chemistry or biology. To this end, we introduce GRALE, a novel graph autoencoder that encodes and decodes graphs of varying sizes into a shared embedding space. GRALE is trained using an Optimal Transport-inspired loss that compares the original and reconstructed graphs and leverages a differentiable node matching module, which is trained jointly with the encoder and decoder. The proposed attention-based architecture relies on Evoformer, the core component of AlphaFold, which we extend to support both graph encoding and decoding. We show, in numerical experiments on simulated and molecular data, that GRALE enables a highly general form of pre-training, applicable to a wide range of downstream tasks, from classification and regression to more complex tasks such as graph interpolation, editing, matching, and prediction.
format Preprint
id arxiv_https___arxiv_org_abs_2505_22109
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The quest for the GRAph Level autoEncoder (GRALE)
Krzakala, Paul
Melo, Gabriel
Laclau, Charlotte
d'Alché-Buc, Florence
Flamary, Rémi
Machine Learning
Artificial Intelligence
Although graph-based learning has attracted a lot of attention, graph representation learning is still a challenging task whose resolution may impact key application fields such as chemistry or biology. To this end, we introduce GRALE, a novel graph autoencoder that encodes and decodes graphs of varying sizes into a shared embedding space. GRALE is trained using an Optimal Transport-inspired loss that compares the original and reconstructed graphs and leverages a differentiable node matching module, which is trained jointly with the encoder and decoder. The proposed attention-based architecture relies on Evoformer, the core component of AlphaFold, which we extend to support both graph encoding and decoding. We show, in numerical experiments on simulated and molecular data, that GRALE enables a highly general form of pre-training, applicable to a wide range of downstream tasks, from classification and regression to more complex tasks such as graph interpolation, editing, matching, and prediction.
title The quest for the GRAph Level autoEncoder (GRALE)
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2505.22109