ProtoGuide: Prototype-Driven Guidance for Class-Conditional Graph Generation
On the map: Diffusion models → Flow matching, time series and science
Abstract (arXiv)
Discrete diffusion models are a prominent family for graph generation, but standard class-conditional mechanisms embed the class signal in the denoiser during training, tying the conditioning mechanism to the trained model. Classifier guidance avoids this coupling in continuous domains by steering a frozen model with a classifier's gradient, but discrete graph diffusion samples discrete edge states, so gradients cannot propagate through the sampled graph. We introduce ProtoGuide, a post-hoc, backbone-agnostic framework that recovers an analogous mechanism. At each reverse step the denoiser's per-edge output is relaxed into a differentiable soft adjacency, embedded by a frozen Siamese graph neural network, and scored against a target-class prototype and its nearest competitor; the resulting per-edge gradient, damped by a cosine schedule, is injected back into the denoiser output. All components stay frozen, so guidance is retargeted by supplying a different prototype. On five classes of real-world networks and two architecturally different backbones, EDGE and DiGress, ProtoGuide raises macro classification accuracy from 50.7% to 73.5% and from 73.6% to 83.8%, and outperforms DiGress's built-in conditional training under our configuration. Gains are largest where the unguided models are weakest, and are not uniform across classes. Per-graph coverage remains high in most settings, while distributional effects are class-dependent. A Best-of-N selection baseline matches this accuracy given enough oversampling, but at a substantial cost in graph diversity. An independently initialized classifier, a directionality test, and a few-shot analysis support target-directed steering and robustness to very small support sets.
Key facts. No citing papers in the map yet (data through 13 Oct 2026). Placed in Flow matching, time series and science, one of 14 directions in Diffusion models. Builds on 34 of its 51 references that are in the map. First posted on arXiv 14 Sep 2026.
Builds on
34 of 51 references.
Closest ancestors · 6
Same direction, newest first
- 2025Graph Guided Diffusion: Unified Guidance for Conditional Graph Generation26 May
- 2023Efficient and Degree-Guided Graph Generation via Discrete Diffusion Modeling6 May
- 2022Diffusion Models for Graphs Benefit From Discrete State Spaces4 Oct
- 2022DiGress: Discrete Denoising diffusion for graph generation29 Sep
- 2022Score-based Generative Modeling of Graphs via the System of Stochastic Differential Equations5 Feb
- 2020Permutation Invariant Graph Generation via Score-Based Generative Modeling2 Mar
Other references · 28
- 2020Denoising Diffusion Probabilistic Modelscited by 20,952
- 2016Semi-Supervised Classification with Graph Convolutional Networkscited by 11,318
- 2020Score-Based Generative Modeling through Stochastic Differential Equationscited by 9,028
- 2017Graph Attention Networkscited by 8,888
- 2021Diffusion Models Beat GANs on Image Synthesiscited by 8,213
- 2015Deep Unsupervised Learning using Nonequilibrium Thermodynamicscited by 7,023
- 2017Inductive Representation Learning on Large Graphscited by 6,303
- 2022Classifier-Free Diffusion Guidancecited by 5,785
- 2018How Powerful are Graph Neural Networks?cited by 4,373
- 2017Prototypical Networks for Few-shot Learningcited by 3,011
- 2015FaceNet: A Unified Embedding for Face Recognition and Clusteringcited by 2,838
- 2021Structured Denoising Diffusion Models in Discrete State-Spacescited by 1,685
16 more
- 2016Variational Graph Auto-Encoderscited by 1,379
- 2018Representation Learning on Graphs with Jumping Knowledge Networkscited by 877
- 2019Graph Transformer Networkscited by 522
- 2018GraphRNN: Generating Realistic Graphs with Deep Auto-regressive Modelscited by 410
- 2018GraphVAE: Towards Generation of Small Graphs Using Variational Autoencoderscited by 378
- 2019Efficient Graph Generation with Graph Recurrent Attention Networkscited by 233
- 2024Simple Guidance Mechanisms for Discrete Diffusion Modelscited by 151
- 2024Unlocking Guidance for Discrete State-Space Diffusion and Flow Modelscited by 128
- 2023Conditional Diffusion Based on Discrete Graph Structures for Molecular Graph Generationcited by 46
- 2021Evaluation Metrics for Graph Generative Models: Problems, Pitfalls, and Practical Solutionscited by 38
- 2019Stacking Models for Nearly Optimal Link Prediction in Complex Networkscited by 35
- 2023Classifier-free graph diffusion for molecular property targetingcited by 14
- 2014Solving the Problem of the K Parameter in the KNN Classifier Using an Ensemble Learning Approachcited by 7
- 2017A nonuniform popularity-similarity optimization (nPSO) model to efficiently generate realistic complex networks with communitiescited by 6
- 2026Plug-and-Play Guidance for Discrete Diffusion Models via Gradient-Informed Logit Correctioncited by 3
- 2025Beyond MMD: Evaluating Graph Generative Models with Geometric Deep Learningcited by 1
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- 2023GraphGUIDE: interpretable and controllable conditional graph generation with discrete Bernoulli diffusion
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