Paper proves orthogonal symmetry of the differential neural tangent kernel
Operators from the same group orbit share spectra, and shallow RePU networks get an eigenvalue decay rate.
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Latent-MoE: Domain-Aware Mixture-of-Experts for PDEs with Multi-Regime Physics
Latent-MoE adds domain-aware mixture-of-experts routing to PINNs, improving accuracy over an order of magnitude on multi-regime physics PDEs.