ResearchResearch paperTraining & Scaling1 source · Oct 17, 2026

Spherical Physics-informed Neural Operator with Multi-scale Coupling for Meteorological Downscaling

We propose the Spherical Physics-informed Neural Operator, which utilizes a Spherical Laplacian Decomposition to partition atmospheric fields into hierarchical frequency components, maintaining exact point-wise correspondence across scales.

Key points

  • Meteorological downscaling is crucial for high-resolution regional climate forecasting and disaster early warning.
  • While neural operators have emerged as a promising paradigm for modeling complex spatiotemporal mappings, existing frameworks often struggle with spherical manifold geometric distortions, inherent atmospheric multi-scale coupling mismatches, and lack of explicit atmospheric laws.
  • To evaluate these representations at arbitrary locations, we introduce a localized spherical integral operator that approximates continuous kernel transforms via geometry-aware attention.
  • Extensive experiments demonstrate that our framework attains superior accuracy and zero-shot generalization across various meteorological variables and unseen queries, representing a robust and interpretable solution for global-to-regional meteorological downscaling.

Sources (1)

  • [1]Spherical Physics-informed Neural Operator with Multi-scale Coupling for Meteorological Downscaling
    arXiv (AI, ML, NLP, CV, robotics, multi-agent) · Oct 17, 02:13 PM
    We propose the Spherical Physics-informed Neural Operator, which utilizes a Spherical Laplacian Decomposition to partition atmospheric fields into hierarchical frequency components, maintaining exact point-wise correspondence across scales.
    Meteorological downscaling is crucial for high-resolution regional climate forecasting and disaster early warning.

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