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Dropout Inference in Bayesian Neural Networks with Alpha-divergences

ICML 2017 · Probabilistic and scientific modeling › Uncertainty and Gaussian processes · approach: Single-model predictive uncertainty · 105 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use α=0.5 instead of α=0 for dropout inference (ablation)Dropout BNN regression · UCI regression datasetsnegative test log likelihood: Boston: 2.42 ± 0.05 -> 2.38 ± 0.06; Concrete: 2.98 ± 0.02 -> 2.88 ± 0.02; Energy: 1.75 ± 0.01 -> 0.74 ± 0.02; Kin8nm: -0Helped
Use α=0.5 instead of α=0 for dropout inference (ablation)Dropout BNN regression · Power and Yachtnegative test log likelihood: Power: 2.79 ± 0.01 -> 2.78 ± 0.01; Yacht: 1.38 ± 0.01 -> 1.08 ± 0.04Helped
Use α=1.0 instead of α=0 for dropout inference (ablation)Dropout BNN regression · Protein, Red wine, Naval, and Yearnegative test log likelihood: Protein: 2.87 ± 0.00 -> 2.86 ± 0.00; Red wine: 0.92 ± 0.01 -> 0.95 ± 0.02; Naval: -2.80 ± 0.00 -> -2.80 ± 0.00; Year: 3.Mixed
Use α=0.5 instead of α=0 for dropout inference (ablation)Dropout BNN regression · UCI regression datasetstest RMSE: Concrete: 4.92 ± 0.13 -> 4.62 ± 0.12; Boston: 2.85 ± 0.19 -> 2.97 ± 0.19; Energy: 1.02 ± 0.03 -> 1.11 ± 0.02Mixed
Use α=0.5 instead of α=0 for dropout inference (ablation)Dropout BNN · MNIST fully connected classificationtest RMSEHelped
Use α=0.5 instead of α=0 for dropout inference (ablation)Dropout BNN · MNIST fully connected classificationtest log likelihoodHelped
Increase training Monte Carlo samples from K=1 to K=10 (ablation)Dropout BB-α (α=1) · MNIST, fully connected NNtest log likelihood: -600 within 1000 seconds; -500 after 3000 secondsHelped
Increase training Monte Carlo samples from K=1 to K=10 (ablation)Dropout BB-α (α=1) · MNIST, fully connected NNtest accuracy: 98.8%No clear effect
Increase training Monte Carlo samples from K=10 to K=100 (ablation)Dropout BB-α (α=1) · MNIST, fully connected NNtest log likelihood: -500 after 3000 secondsHurt
Use dropout-trained Bayesian inference instead of a deterministic maximum-likelihood networkMNIST fully connected network · MNIST adversarial examplespredictive uncertaintyHelped

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