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#machine learning Preprint Open access

Refined Grid Sampling for Efficient Implicit Neural Representations of Large-Scale Scientific Data

Guang Zhao Xihaier Luo Sean McCue Luke P. Van Roekel Seungjun Lee Yihui Ren Shinjae Yoo Wei Xu
Oct 2026
Machine Learning

Abstract

Implicit neural representations (INRs) offer a powerful framework for modeling high-dimensional physical fields, but their training remains inefficient because evaluating dense coordinate grids is computationally expensive. Existing coordinate-pruning strategies rely on local error functions that can oversample correlated points and incur substantial overhead from full-grid error evaluation. We introduce Refined Grid Sampling (RGS), which combines stratified grid sampling, error-based refinement, and dynamic grid-resolution adjustment. This design reduces spatial redundancy without evaluating errors over the full grid. On high-resolution Navier--Stokes fields, RGS achieves higher reconstruction accuracy within a fixed wall-clock budget and reaches the accuracy of full-grid training up to $6\times$ faster than the evaluated baselines.

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