Author

Mrigank Dhingra

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Preprint Aug 2026

Iterative Refinement Diffusion for Super-Resolved Data Assimilation of Multiscale Physical Systems

These results show that one-shot generative reconstruction can be effective for simpler settings, while hierarchical forecast-analysis refinement becomes advantageous in strongly multiscale and underdetermined regimes.

Mrigank Dhingra, Ramchandran Muthukumar, Rebecca Willett et al. · 0 citations

#machine learning Preprint Sep 2026

Two-Scale Localized PCA-Net: Coarse-Global and Local-Residual Representations for Artifact-Reduced PDE Operator Learning

Two-Scale Localized PCA-Net is introduced, which decomposes the solution into a coarse-global component and local residual corrections and provides an efficient representation for artifact-reduced PDE operator learning.

Mrigank Dhingra, J. Stout, O. San · 0 citations