Research map / Probabilistic and scientific modeling / Uncertainty and Gaussian processes
Sparse Gaussian Processes with Spherical Harmonic Features
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use spherical harmonic inducing features instead of standard inducing points | Sparse GP · Energy, Concrete, Power | MSE: 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 ± 0.00 | Mixed |
| Use spherical harmonic features instead of additive VFF | Sparse GP · UCI regression datasets | MSE: 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 ± 0.00 | Helped |
| Increase spherical harmonic feature count from M=9 to M=225 or M=784 (ablation) | Spherical harmonics · Banana classification | ELBO | Helped |
| 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 ± 0.002 | Helped |
| 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 ± 3.80 | Hurt |
| Use spherical harmonic inducing features instead of SVGP inducing points | Sparse GP · Airline delay (N=5,929,413) | NLPD: 1.31 ± 0.002 -> 1.29 ± 0.002 | Helped |
| Use spherical harmonic inducing features instead of SVGP inducing points | Sparse GP · Airline delay (N=5,929,413) | Time (seconds): 918.77 ± 1.21 -> 41.32 ± 0.81 | Helped |
| Use spherical harmonic inducing features instead of SVGP with an SE kernel | Sparse GP classifier · SUSY | AuC: 0.852 ± 0.002 -> 0.859 ± 0.001 | Helped |
| Use spherical harmonic GP instead of a five-layer neural network | SUSY classifier · SUSY | AuC: 0.867 ± 0.002 -> 0.859 ± 0.001 | Hurt |
Closest papers by meaning
- Spherical Inducing Features for Orthogonally-Decoupled Gaussian Processes (ICML 2023 · similarity 0.92)
- Sparse Gaussian Processes: Structured Approximations and Power-EP Revisited (NeurIPS 2025 · similarity 0.90)
- Sparse within Sparse Gaussian Processes using Neighbor Information (ICML 2021 · similarity 0.90)
- Orthogonally Decoupled Variational Gaussian Processes (NeurIPS 2018 · similarity 0.90)
- Spatio-Temporal Variational Gaussian Processes (NeurIPS 2021 · similarity 0.89)
- New Bounds for Sparse Variational Gaussian Processes (ICML 2025 · similarity 0.89)
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