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Sparse Gaussian Processes with Spherical Harmonic Features

ICML 2020 · Probabilistic and scientific modeling › Uncertainty and Gaussian processes · approach: Sparse variational Gaussian processes · 14 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use spherical harmonic inducing features instead of standard inducing pointsSparse GP · Energy, Concrete, PowerMSE: Energy: 0.013 ± 0.00 -> 0.003 ± 0.00; Concrete: 0.128 ± 0.01 -> 0.122 ± 0.02; Power: 0.055 ± 0.00 -> 0.054 ± 0.00Mixed
Use spherical harmonic features instead of additive VFFSparse GP · UCI regression datasetsMSE: Concrete: 0.123 ± 0.01 -> 0.122 ± 0.02; Kin8mn: 0.561 ± 0.02 -> 0.219 ± 0.01; Power: 0.058 ± 0.00 -> 0.054 ± 0.00Helped
Increase spherical harmonic feature count from M=9 to M=225 or M=784 (ablation)Spherical harmonics · Banana classificationELBOHelped
Increase feature count from M=210 to M=660 (ablation)Spherical harmonics · Airline delay (N=5,929,413)NLPD: 1.29 ± 0.002 -> 1.27 ± 0.002Helped
Increase feature count from M=210 to M=660 (ablation)Spherical harmonics · Airline delay (N=5,929,413)Time (seconds): 41.32 ± 0.81 -> 160.8 ± 3.80Hurt
Use spherical harmonic inducing features instead of SVGP inducing pointsSparse GP · Airline delay (N=5,929,413)NLPD: 1.31 ± 0.002 -> 1.29 ± 0.002Helped
Use spherical harmonic inducing features instead of SVGP inducing pointsSparse GP · Airline delay (N=5,929,413)Time (seconds): 918.77 ± 1.21 -> 41.32 ± 0.81Helped
Use spherical harmonic inducing features instead of SVGP with an SE kernelSparse GP classifier · SUSYAuC: 0.852 ± 0.002 -> 0.859 ± 0.001Helped
Use spherical harmonic GP instead of a five-layer neural networkSUSY classifier · SUSYAuC: 0.867 ± 0.002 -> 0.859 ± 0.001Hurt

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