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Research map / Probabilistic and scientific modeling / Uncertainty and Gaussian processes

Robust and Scalable Gaussian Process Regression and Its Applications

CVPR 2023 · Probabilistic and scientific modeling › Uncertainty and Gaussian processes · approach: Sparse variational Gaussian processes · 20 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use a uniform-outlier and Gaussian-inlier mixture with variational inferenceGaussian process regression · Neal and Friedman datasetsMAE: 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%); 1.47Helped
Use robust GPR for correspondence filteringFeature matching · YFCC100M relative pose estimationprecision: 63.0 -> 85.3Helped
Use robust GPR for geometric estimationFeature matching · HPatches homography estimationaccuracy: 77.7 -> 78.1Helped
Use robust GPR for geometric estimationFeature matching · CPC fundamental matrix estimationaccuracy: 47.0 -> 49.6Helped
Use robust GPR for dense expression imputationGene expression imputation · Mouse olfactory bulb, Pattern 1MAE: 0.07 -> 0.03Helped
Use robust GPR for dense expression imputationGene expression imputation · Breast cancer tissue, Pattern 1MAE: 0.19 -> 0.12Helped
Add stochastic variational inference (ablation)RS-GPR · YFCC100M feature matchingF1: 70.0 -> 75.6Helped
Add inducing variables (ablation)RS-GPR · YFCC100M feature matchingF1: 69.5 -> 75.6Helped
Use fixed default kernel hyperparameters rather than optimizing them (ablation)RS-GPR · YFCC100M feature matchingF1: 67.7 -> 75.6Helped
Use variational inference instead of EM optimization (ablation)RS-GPR · YFCC100M feature matchingF1: 65.5 -> 75.6Helped
Include the posterior variance term Aii when estimating inlier probabilities (ablation)Robust GPR · Neal dataregression fitHelped

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