arXiv cs.LG
7/7/2026

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Original: LiNO: Lifting based multiresolution neural operator
Short summary
Researchers propose LiNO, a neural operator using wavelet lifting schemes to learn multiscale features in differential equations. The method handles both coarse and fine-scale structures simultaneously through adaptive, invertible multiresolution decomposition. Benchmarks on physics simulations (Navier-Stokes, Poisson equations) show LiNO outperforms existing neural operators on multiscale and chaotic systems.
- •Wavelet lifting scheme enables adaptive multiresolution operator learning
- •Exactly invertible construction preserves information across scales
- •Strong performance on physics benchmarks: Darcy flow, Navier-Stokes, Allen-Cahn, Gray-Scott
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