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arXiv cs.LG
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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