Research map / Probabilistic and scientific modeling / Uncertainty and Gaussian processes
Robust and Scalable Gaussian Process Regression and Its Applications
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use a uniform-outlier and Gaussian-inlier mixture with variational inference | Gaussian process regression · Neal and Friedman datasets | MAE: Neal: 0.03 -> 0.01 (10%); 0.06 -> 0.03 (50%); 0.35 -> 0.03 (80%). Friedman: 0.11 -> 0.04 (20%); 0.13 -> 0.06 (30%); 1.47 | Helped |
| Use robust GPR for correspondence filtering | Feature matching · YFCC100M relative pose estimation | precision: 63.0 -> 85.3 | Helped |
| Use robust GPR for geometric estimation | Feature matching · HPatches homography estimation | accuracy: 77.7 -> 78.1 | Helped |
| Use robust GPR for geometric estimation | Feature matching · CPC fundamental matrix estimation | accuracy: 47.0 -> 49.6 | Helped |
| Use robust GPR for dense expression imputation | Gene expression imputation · Mouse olfactory bulb, Pattern 1 | MAE: 0.07 -> 0.03 | Helped |
| Use robust GPR for dense expression imputation | Gene expression imputation · Breast cancer tissue, Pattern 1 | MAE: 0.19 -> 0.12 | Helped |
| Add stochastic variational inference (ablation) | RS-GPR · YFCC100M feature matching | F1: 70.0 -> 75.6 | Helped |
| Add inducing variables (ablation) | RS-GPR · YFCC100M feature matching | F1: 69.5 -> 75.6 | Helped |
| Use fixed default kernel hyperparameters rather than optimizing them (ablation) | RS-GPR · YFCC100M feature matching | F1: 67.7 -> 75.6 | Helped |
| Use variational inference instead of EM optimization (ablation) | RS-GPR · YFCC100M feature matching | F1: 65.5 -> 75.6 | Helped |
| Include the posterior variance term Aii when estimating inlier probabilities (ablation) | Robust GPR · Neal data | regression fit | Helped |
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