mlsanityData to 7 Oct 2026

Optimizing OOD Detection in Molecular Graphs: A Novel Approach with Diffusion Models

arXiv 2404.15625 ↗First posted 24 Apr 2024cs.LGcited by 21

On the map: Diffusion models → Flow matching, time series and science

Abstract (arXiv)

The open-world test dataset is often mixed with out-of-distribution (OOD) samples, where the deployed models will struggle to make accurate predictions. Traditional detection methods need to trade off OOD detection and in-distribution (ID) classification performance since they share the same representation learning model. In this work, we propose to detect OOD molecules by adopting an auxiliary diffusion model-based framework, which compares similarities between input molecules and reconstructed graphs. Due to the generative bias towards reconstructing ID training samples, the similarity scores of OOD molecules will be much lower to facilitate detection. Although it is conceptually simple, extending this vanilla framework to practical detection applications is still limited by two significant challenges. First, the popular similarity metrics based on Euclidian distance fail to consider the complex graph structure. Second, the generative model involving iterative denoising steps is time-consuming especially when it runs on the enormous pool of drugs. To address these challenges, our research pioneers an approach of Prototypical Graph Reconstruction for Molecular OOD Detection, dubbed as PGR-MOOD and hinges on three innovations: i) An effective metric to comprehensively quantify the matching degree of input and reconstructed molecules; ii) A creative graph generator to construct prototypical graphs that are in line with ID but away from OOD; iii) An efficient and scalable OOD detector to compare the similarity between test samples and pre-constructed prototypical graphs and omit the generative process on every new molecule. Extensive experiments on ten benchmark datasets and six baselines are conducted to demonstrate our superiority.

Key facts. Cited by 21 papers in the map (data through 7 Oct 2026). Placed in Flow matching, time series and science, one of 14 directions in Diffusion models. Builds on 34 of its 59 references that are in the map. First posted on arXiv 24 Apr 2024.

Builds on

34 of 59 references.

Closest ancestors · 5

Same direction, newest first

  1. 2023SaGess: Sampling Graph Denoising Diffusion Model for Scalable Graph Generation29 Jun
  2. 2023Efficient and Degree-Guided Graph Generation via Discrete Diffusion Modeling6 May
  3. 2023Data-Centric Learning from Unlabeled Graphs with Diffusion Model17 Mar
  4. 2022DiGress: Discrete Denoising diffusion for graph generation29 Sep
  5. 2020Permutation Invariant Graph Generation via Score-Based Generative Modeling2 Mar

Other references · 29

  1. 2016Semi-Supervised Classification with Graph Convolutional Networkscited by 11,282
  2. 2017Inductive Representation Learning on Large Graphscited by 6,284
  3. 2018How Powerful are Graph Neural Networks?cited by 4,355
  4. 2017Neural Message Passing for Quantum Chemistrycited by 3,460
  5. 2022Diffusion Models in Vision: A Surveycited by 1,008
  6. 2021Maximum Likelihood Training of Score-Based Diffusion Modelscited by 670
  7. 2021BernNet: Learning Arbitrary Graph Spectral Filters via Bernstein Approximationcited by 195
  8. 2022Graph neural networks for materials science and chemistrycited by 181
  9. 2018Optimal Transport for structured data with application on graphscited by 170
  10. 2021From Stars to Subgraphs: Uplifting Any GNN with Local Structure Awarenesscited by 154
  11. 2022GOOD: A Graph Out-of-Distribution Benchmarkcited by 140
  12. 2020Towards Deeper Graph Neural Networks with Differentiable Group Normalizationcited by 113
17 more
  1. 2022Denoising diffusion models for out-of-distribution detectioncited by 102
  2. 2018Multi-Objective De Novo Drug Design with Conditional Graph Generative Modelcited by 101
  3. 2021Dirichlet Energy Constrained Learning for Deep Graph Neural Networkscited by 97
  4. 2021Be Confident! Towards Trustworthy Graph Neural Networks via Confidence Calibrationcited by 91
  5. 2022How Powerful are K-hop Message Passing Graph Neural Networkscited by 90
  6. 2020Line Graph Neural Networks for Link Predictioncited by 89
  7. 2021Deep Graph-level Anomaly Detection by Glocal Knowledge Distillationcited by 67
  8. 2023Unsupervised Out-of-Distribution Detection with Diffusion Inpaintingcited by 57
  9. 2022GOOD-D: On Unsupervised Graph Out-Of-Distribution Detectioncited by 47
  10. 2022Raising the Bar in Graph-level Anomaly Detectioncited by 45
  11. 2017Learning Graph-Level Representation for Drug Discoverycited by 43
  12. 2023DiffGuard: Semantic Mismatch-Guided Out-of-Distribution Detection using Pre-trained Diffusion Modelscited by 25
  13. 2021MolGrow: A Graph Normalizing Flow for Hierarchical Molecular Generationcited by 22
  14. 2022Template based Graph Neural Network with Optimal Transport Distancescited by 20
  15. 2021Orthogonal Graph Neural Networkscited by 19
  16. 2021A Graph VAE and Graph Transformer Approach to Generating Molecular Graphscited by 16
  17. 2021Adaptive Label Smoothing To Regularize Large-Scale Graph Trainingcited by 12

Built on by

Cited by year (2026 to 7 Oct)

Citing papers per year: 2024: 4; 2025: 13; 2026: 4.

21 papers.

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  1. 2024Out-of-Distribution Detection: A Task-Oriented Survey of Recent Advancescited by 24
  2. 2024Unifying Unsupervised Graph-Level Anomaly Detection and Out-of-Distribution Detection: A Benchmarkcited by 18
  3. 2024Dynamic Graph Unlearning: A General and Efficient Post-Processing Method via Gradient Transformationcited by 15
  4. 2025GOLD: Graph Out-of-Distribution Detection via Implicit Adversarial Latent Generationcited by 15
  5. 2025Adaptive Multi-prompt Contrastive Network for Few-shot Out-of-distribution Detectioncited by 8
  6. 2024Rethinking Independent Cross-Entropy Loss For Graph-Structured Datacited by 4
  7. 2025Mamba-Based Graph Convolutional Networks: Tackling Over-smoothing with Selective State Spacecited by 4
  8. 2025Graph Defense Diffusion Modelcited by 3
  9. 2025BOOM: Benchmarking Out-Of-distribution Molecular Property Predictions of Machine Learning Modelscited by 3
  10. 2025Text Meets Topology: Rethinking Out-of-distribution Detection in Text-Rich Networkscited by 3
  11. 2025SpectralGap: Graph-Level Out-of-Distribution Detection via Laplacian Eigenvalue Gapscited by 2
  12. 2025Learnable Kernel Density Estimation for Graphs and Its Application to Graph-Level Anomaly Detectioncited by 2
9 more
  1. 2025Can Molecular Foundation Models Know What They Don't Know? A Simple Remedy with Preference Optimizationcited by 2
  2. 2025Coarse-to-Fine Open-Set Graph Node Classification with Large Language Modelscited by 1
  3. 2026From Subtle to Significant: Prompt-Driven Self-Improving Optimization in Test-Time Graph OOD Detectioncited by 1
  4. 2026What Information Matters? Graph Out-of-Distribution Detection via Tri-Component Information Decompositioncited by 1
  5. 2025Soft causal learning for generalized molecule property prediction: An environment perspectivecited by 0
  6. 2025Prompt Optimization Meets Subspace Representation Learning for Few-shot Out-of-Distribution Detectioncited by 0
  7. 2025Out-of-Distribution Detection in Molecular Complexes via Diffusion Models for Irregular Graphscited by 0
  8. 2026Learning to Explore: Policy-Guided Outlier Synthesis for Graph Out-of-Distribution Detectioncited by 0
  9. 2026Autonomous Drift Learning in Data Streams: A Unified Perspectivecited by 0

Similar, not cited

Close in wording, no citation either way

  1. 2026Geometry over Density: Few-Shot Cross-Domain OOD Detection
  2. 2024Distributional Priors Guided Diffusion for Generating 3D Molecules in Low Data Regimes
  3. 2026OOD-GraphLLM: Graph Large Language Model for Out-of-Distribution Generalized Drug Synergy Prediction
  4. 2025EigenScore: OOD Detection using Covariance in Diffusion Models
  5. 2024SubGDiff: A Subgraph Diffusion Model to Improve Molecular Representation Learning
  6. 2025Composable Score-based Graph Diffusion Model for Multi-Conditional Molecular Generation
  7. 2023Classifier-free graph diffusion for molecular property targeting
  8. 2024Graph Diffusion Transformers for Multi-Conditional Molecular Generation