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Gaussian Process Uniform Error Bounds with Unknown Hyperparameters for Safety-Critical Applications

ICML 2022 · Learning theory and algorithms › Kernels and regression theory · approach: Statistical perspectives on generalization · 2 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use the robust bound accounting for uncertain hyperparameters instead of a vanilla GP boundGaussian process regression · BSTN₅₀error bound violation rate: 0.41 -> 0.19Helped
Use the robust bound accounting for uncertain hyperparameters instead of a vanilla GP boundGaussian process regression · BSTN₄₅₀error bound violation rate: 0.48 -> 0.35Helped
Use the robust bound accounting for uncertain hyperparameters instead of a vanilla GP boundGaussian process regression · ML₅₀error bound violation rate: 0.11 -> 0.00Helped
Use the robust bound accounting for uncertain hyperparameters instead of a vanilla GP boundGaussian process regression · ML₃₀₀error bound violation rate: 0.01 -> 0.00Helped
Use the robust bound accounting for uncertain hyperparameters instead of a vanilla GP boundGaussian process regression · Wine₂₀₀error bound violation rate: 0.04 -> 0.01Helped
Use the robust bound accounting for uncertain hyperparameters instead of a vanilla GP boundGaussian process regression · Wine₁₀₀₀error bound violation rate: 0.04 -> 0.01Helped
Use the robust bound accounting for uncertain hyperparameters instead of a vanilla GP boundGaussian process regression · SRCS₈₅₀error bound violation rate: 0.98 -> 0.08Helped
Use the robust bound accounting for uncertain hyperparameters instead of a vanilla GP boundGaussian process regression · SRCS₅₀₀₀error bound violation rate: 0.98 -> 0.02Helped
Use the robust bound accounting for uncertain hyperparameters instead of a vanilla GP boundGaussian process regression · SRCS₁₀₀₀₀error bound violation rate: 0.97 -> 0.01Helped

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