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

Generalised Bayesian Filtering via Sequential Monte Carlo

NeurIPS 2020 · Probabilistic and scientific modeling › Uncertainty and Gaussian processes · approach: Nonparametric and PAC-Bayes Bayesian learning · 5 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace the standard likelihood update with a β-divergence updateBPF (FFBS) · London air quality GP regressionNMSE: 0.116 (0.015) -> 0.061(0.003)Helped
Replace the standard likelihood update with a β-divergence updateBPF (FFBS) · London air quality GP regressionEC: 0.650 (0.020) -> 0.760(0.015)Helped
Use β=0.2 instead of β=0.1 (ablation)β-BPF (FFBS) · London air quality GP regressionNMSE: 0.061(0.003) -> 0.059(0.002)Helped
Use β=0.2 instead of β=0.1 (ablation)β-BPF (FFBS) · London air quality GP regressionEC: 0.760(0.015) -> 0.803(0.020)Helped
Use β-BPF instead of the Gaussian BPFBPF · Wiener velocity with contaminated observationsNMSE: around 10× smaller than the BPFHelped
Use β-BPF instead of the Kalman filterKalman filter · Wiener velocity with contaminated observationsNMSE: around 100× smaller than the Kalman filterHelped
Use β-BPF or β-APF instead of standard robust filtersBPF and APF · Terrain Aided NavigationNMSEHelped
Use β-BPF instead of symmetric Student's t likelihoodst-BPF · Asymmetric Wiener velocity with multiplicative contaminationNMSEHelped

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