A Fourier-basis plus NUFFT framework solves Sobolev, physics-informed, and additive kernel regressions in O(n log n) time on GPUs while retaining minimax rates.
The second term E(∥ √ Σ( ˆΣ + λR)−1Φ∗ϵ/n∥2
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Fast kernel methods: Sobolev, physics-informed, and additive models
A Fourier-basis plus NUFFT framework solves Sobolev, physics-informed, and additive kernel regressions in O(n log n) time on GPUs while retaining minimax rates.