mlsanityData to 7 Oct 2026

GNN-Surrogate: A Hierarchical and Adaptive Graph Neural Network for Parameter Space Exploration of Unstructured-Mesh Ocean Simulations

arXiv 2202.08956 ↗First posted 18 Feb 2022physics.ao-ph cs.AI cs.GRcited by 32

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Abstract (arXiv)

We propose GNN-Surrogate, a graph neural network-based surrogate model to explore the parameter space of ocean climate simulations. Parameter space exploration is important for domain scientists to understand the influence of input parameters (e.g., wind stress) on the simulation output (e.g., temperature). The exploration requires scientists to exhaust the complicated parameter space by running a batch of computationally expensive simulations. Our approach improves the efficiency of parameter space exploration with a surrogate model that predicts the simulation outputs accurately and efficiently. Specifically, GNN-Surrogate predicts the output field with given simulation parameters so scientists can explore the simulation parameter space with visualizations from user-specified visual mappings. Moreover, our graph-based techniques are designed for unstructured meshes, making the exploration of simulation outputs on irregular grids efficient. For efficient training, we generate hierarchical graphs and use adaptive resolutions. We give quantitative and qualitative evaluations on the MPAS-Ocean simulation to demonstrate the effectiveness and efficiency of GNN-Surrogate. Source code is publicly available at https://github.com/trainsn/GNN-Surrogate.

Key facts. Cited by 32 papers in the map (data through 7 Oct 2026). Builds on 14 of its 45 references that are in the map. First posted on arXiv 18 Feb 2022.

Builds on

14 of 45 references.

References · 14

  1. 2019PyTorch: An Imperative Style, High-Performance Deep Learning Librarycited by 20,160
  2. 2016Image-to-Image Translation with Conditional Adversarial Networkscited by 4,510
  3. 2018Spectral Normalization for Generative Adversarial Networkscited by 1,618
  4. 2016Instance Normalization: The Missing Ingredient for Fast Stylizationcited by 1,187
  5. 2017Mixed Precision Trainingcited by 1,135
  6. 2020Learning Mesh-Based Simulation with Graph Networkscited by 840
  7. 2017Dynamic Edge-Conditioned Filters in Convolutional Neural Networks on Graphscited by 307
  8. 2018DeepSphere: Efficient spherical Convolutional Neural Network with HEALPix sampling for cosmological applicationscited by 61
  9. 2019InSituNet: Deep Image Synthesis for Parameter Space Exploration of Ensemble Simulationscited by 37
  10. 2018Modeling Local Geometric Structure of 3D Point Clouds using Geo-CNNcited by 33
  11. 2017A Generative Model for Volume Renderingcited by 30
  12. 2020A Survey on ML4VIS: Applying Machine Learning Advances to Data Visualizationcited by 28
2 more
  1. 2019DeepSphere: towards an equivariant graph-based spherical CNNcited by 13
  2. 2019NNVA: Neural Network Assisted Visual Analysis of Yeast Cell Polarization Simulationcited by 12

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2022: 5; 2023: 6; 2024: 9; 2025: 7; 2026: 5.

32 papers.

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  1. 2022DL4SciVis: A State-of-the-Art Survey on Deep Learning for Scientific Visualizationcited by 32
  2. 2024Generative AI for Visualization: State of the Art and Future Directionscited by 23
  3. 2022VDL-Surrogate: A View-Dependent Latent-based Model for Parameter Space Exploration of Ensemble Simulationscited by 20
  4. 2023Efficient deep data assimilation with sparse observations and time-varying sensorscited by 14
  5. 2024A review of graph neural network applications in mechanics-related domainscited by 14
  6. 2023A Hierarchical Spatial Transformer for Massive Point Samples in Continuous Spacecited by 10
  7. 2025Explorable INR: An Implicit Neural Representation for Ensemble Simulation Enabling Efficient Spatial and Parameter Explorationcited by 8
  8. 2024ParamsDrag: Interactive Parameter Space Exploration via Image-Space Draggingcited by 6
  9. 2024SurroFlow: A Flow-Based Surrogate Model for Parameter Space Exploration and Uncertainty Quantificationcited by 5
  10. 2024Dynamical system prediction from sparse observations using deep neural networks with Voronoi tessellation and physics constraintcited by 5
  11. 2023Learning CO2 plume migration in faulted reservoirs with Graph Neural Networkscited by 3
  12. 2024Uncertainty-Aware Deep Neural Representations for Visual Analysis of Vector Field Datacited by 3
20 more
  1. 2024Uncertainty-Informed Volume Visualization using Implicit Neural Representationcited by 3
  2. 2024Beyond Grid Data: Exploring Graph Neural Networks for Earth Observationcited by 3
  3. 2022Deep learning and multi-level featurization of graph representations of microstructural datacited by 2
  4. 2023HAiVA: Hybrid AI-assisted Visual Analysis Framework to Study the Effects of Cloud Properties on Climate Patternscited by 2
  5. 2024Visual Analysis of Prediction Uncertainty in Neural Networks for Deep Image Synthesiscited by 2
  6. 2022Minority Report: A Graph Network Oracle for In Situ Visualizationcited by 1
  7. 2023Deep Learning for Spatiotemporal Big Data: A Vision on Opportunities and Challengescited by 1
  8. 2025ConfEviSurrogate: A Conformalized Evidential Surrogate Model for Uncertainty Quantificationcited by 1
  9. 2025Topology Guidance: Controlling the Outputs of Generative Models via Vector Field Topologycited by 1
  10. 2025FA-INR: Adaptive Implicit Neural Representations for Interpretable Exploration of Simulation Ensemblescited by 1
  11. 2025SWR-Viz: AI-assisted Interactive Visual Analytics Framework for Ship Weather Routingcited by 1
  12. 2022SOLAR: A Highly Optimized Data Loading Framework for Distributed Training of CNN-based Scientific Surrogatescited by 0
  13. 2023Neural Stream Functionscited by 0
  14. 2025Seeing the Many: Exploring Parameter Distributions Conditioned on Features in Surrogatescited by 0
  15. 2025Compressive Modeling and Visualization of Multivariate Scientific Data using Implicit Neural Representationcited by 0
  16. 2026Refine Now, Query Fast: A Decoupled Refinement Paradigm for Implicit Neural Fieldscited by 0
  17. 2026GS-Surrogate: Deformable Gaussian Splatting for Parameter Space Exploration of Ensemble Simulationscited by 0
  18. 2026Quantifying the Impact of Lossy Compression on Neural Generative Surrogate Modelingcited by 0
  19. 2026Scale-Aware Learning of Chaotic Dynamics on Unstructured Meshes via Binned Spectral Lossescited by 0
  20. 2026OceanLight: Efficient Global Ocean Forecasting via Geometry-Adaptive Unstructured Mesh Representationcited by 0