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Explorable INR: An Implicit Neural Representation for Ensemble Simulation Enabling Efficient Spatial and Parameter Exploration

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With the growing computational power available for high-resolution ensemble simulations in scientific fields such as cosmology and oceanology, storage and computational demands present significant challenges. Current surrogate models fall short in the flexibility of point- or region-based predictions as the entire field reconstruction is required for each parameter setting, hence hindering the efficiency of parameter space exploration. Limitations exist in capturing physical attribute distributions and pinpointing optimal parameter configurations. In this work, we propose Explorable INR, a novel implicit neural representation-based surrogate model, designed to facilitate exploration and allow point-based spatial queries without computing full-scale field data. In addition, to further address computational bottlenecks of spatial exploration, we utilize probabilistic affine forms (PAFs) for uncertainty propagation through Explorable INR to obtain statistical summaries, facilitating various ensemble analysis and visualization tasks that are expensive with existing models. Furthermore, we reformulate the parameter exploration problem as optimization tasks using gradient descent and KL divergence minimization that ensures scalability. We demonstrate that the Explorable INR with the proposed approach for spatial and parameter exploration can significantly reduce computation and memory costs while providing effective ensemble analysis.

Yi-Tang Chen, Haoyu Li, Neng Shi, Xihaier Luo, Wei Xu, Han-Wei Shen• 2025

Related benchmarks

TaskDatasetResultRank
Conditional GeneralizationNyx (test)
Relative L2 Error0.0464
4
Conditional GeneralizationMPAS-Ocean (test)
Rel L2 Error0.0113
4
Conditional GeneralizationCloverleaf3D (test)
Relative L2 Error0.146
4
Conditional GeneralizationNyx low-resolution (x2 reduced) (Unseen Fields)
Rel L2 Error0.0446
4
Conditional GeneralizationNyx Trained Fields low-resolution (x2 reduced)
Relative L2 Error0.0329
4
Conditional GeneralizationCloverleaf3D low-resolution (x2 reduced) (Unseen Fields)
Rel L2 Error0.117
4
Conditional GeneralizationCloverleaf3D low-resolution (x2 reduced) (train)
Relative L2 Error0.0748
4
Super-ResolutionNyx Unseen Fields (test)
Relative L2 Loss0.0648
4
Super-ResolutionNyx Trained Fields (train)
Rel L20.0844
4
Super-ResolutionCloverleaf3D Unseen Fields (test)
Rel L2 Error0.125
4
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