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

Deep Variational Implicit Processes

ICLR 2023 · Probabilistic and scientific modeling › Uncertainty and Gaussian processes · approach: PAC-Bayes and decoupled GP learning · 0 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Stack implicit-process layers rather than use a single-layer VIPVIP · Rectanglesaccuracy (%): 85.63 ± 0.18 -> 88.21 ± 0.12Helped
Use a CNN prior in the first layerDVIP · Rectanglesaccuracy (%): 88.21 ± 0.12 vs 75.16 ± 0.16Helped
Increase depth from one layer to five layersDVIP · SUSYAUC: 0.8572 -> 0.8756Helped
Increase depth from one layer to five layersDVIP · HIGGSAUC: 0.6247 -> 0.7962Helped
Use DVIP rather than DGPDGP · HIGGSAUC: 0.8324 vs 0.7962Hurt
Increase prior sample count from 10 to 40 (ablation)DVIP 3 · PowerRMSE: 4.03 ± 0.04 -> 3.92 ± 0.04Helped
Increase prior sample count from 10 to 50 (ablation)DVIP 3 · ProteinRMSE: 4.53 ± 0.01 -> 4.21 ± 0.01Helped
Increase prior sample count from 20 to 50 (ablation)DVIP 3 · ProteinCPU Time (s): 2734 ± 19 -> 4330 ± 52Hurt
Change prior BNN to 3 hidden layers of 10 units (ablation)DVIP 3 · ProteinRMSE: 4.40 ± 0.01 -> 4.37 ± 0.01No clear effect
Change prior BNN to 2 hidden layers of 20 units (ablation)DVIP 3 · PowerRMSE: 3.94 ± 0.04 -> 3.99 ± 0.04No clear effect
Replace BNN prior with approximate GP prior (ablation)DVIP 3 · ProteinRMSE: 4.14 ± 0.01 -> 4.07 ± 0.01Helped
Use an unconstrained rather than constrained prior BNN (ablation)VIP · BostonRMSE Test: 4.73 ± 0.24 -> 5.85 ± 0.14Hurt

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