Are Expressive Encoders Necessary for Discrete Graph Generation?

📅 2026-03-09
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🤖 AI Summary
This work investigates whether high-capacity encoders such as Transformers are indispensable for discrete graph generation and proposes GenGNN—a lightweight, modular graph generation framework based on message passing—as a viable alternative. By employing graph neural networks (GNNs) as the backbone of a discrete diffusion model, GenGNN incorporates residual connections to mitigate over-smoothing and analyzes diffusion representations from a metric space perspective. Experimental results demonstrate that GenGNN achieves over 90% validity on Tree and Planar graph benchmarks and 99.49% validity in molecular generation, while offering 2–5× faster inference than graph Transformer-based approaches. These findings underscore the framework’s efficiency, scalability, and competitive performance without relying on computationally intensive architectures.

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📝 Abstract
Discrete graph generation has emerged as a powerful paradigm for modeling graph data, often relying on highly expressive neural backbones such as transformers or higher-order architectures. We revisit this design choice by introducing GenGNN, a modular message-passing framework for graph generation. Diffusion models with GenGNN achieve more than 90% validity on Tree and Planar datasets, within margins of graph transformers, at 2-5x faster inference speed. For molecule generation, DiGress with a GenGNN backbone achieves 99.49% Validity. A systematic ablation study shows the benefit provided by each GenGNN component, indicating the need for residual connections to mitigate oversmoothing on complicated graph-structure. Through scaling analyses, we apply a principled metric-space view to investigate learned diffusion representations and uncover whether GNNs can be expressive neural backbones for discrete diffusion.
Problem

Research questions and friction points this paper is trying to address.

discrete graph generation
expressive encoders
graph neural networks
diffusion models
Innovation

Methods, ideas, or system contributions that make the work stand out.

GenGNN
discrete graph generation
message-passing framework
diffusion models
graph neural networks
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