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Dropout as a Bayesian Approximation: Representing Model Uncertainty in Deep Learning

ICML 2016 · Probabilistic and scientific modeling › Uncertainty and Gaussian processes · approach: Single-model predictive uncertainty · 2,628 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use MC dropout uncertaintyDropout neural networks · Boston Housing, Concrete Strength, Energy Efficiency, Kin8nm, Naval Propulsion, Power Plant, Protein Structure, Wine Quality Red, Yacht Hydrodynamicspredictive log-likelihood: Boston Housing: -2.57 $\pm$ 0.09 -> -2.46 $\pm$ 0.06; Concrete Strength: -3.16 $\pm$ 0.02 -> -3.04 $\pm$ 0.02; Energy EfHelped
Use MC dropout uncertaintyDropout neural networks · Boston Housing, Concrete Strength, Energy Efficiency, Power Plant, Protein Structure, Wine Quality RedRMSE: Boston Housing: 3.01 $\pm$ 0.18 -> 2.97 $\pm$ 0.19; Concrete Strength: 5.67 $\pm$ 0.09 -> 5.23 $\pm$ 0.12; Energy EfficiHelped
Use MC dropout uncertaintyDropout neural networks · Kin8nm and Naval PropulsionRMSE: Kin8nm: 0.10 $\pm$ 0.00 -> 0.10 $\pm$ 0.00; Naval Propulsion: 0.01 $\pm$ 0.00 -> 0.01 $\pm$ 0.00No clear effect
Use MC dropout uncertaintyDropout neural networks · Yacht HydrodynamicsRMSE: 1.02 $\pm$ 0.05 -> 1.11 $\pm$ 0.09Hurt
Train for 10 times the number of epochs (ablation)Dropout on Boston Housing · Boston HousingRMSE: 2.97 $\pm$ 0.19 -> 2.80 $\pm$ 0.19Helped
Train for 10 times the number of epochs (ablation)Dropout on Boston Housing · Boston Housingpredictive log-likelihood: -2.46 $\pm$ 0.06 -> -2.39 $\pm$ 0.05Helped
Use 2 layers instead of 1 (ablation)Dropout on Boston Housing · Boston HousingRMSE: 2.97 $\pm$ 0.19 -> 2.80 $\pm$ 0.13Helped
Use 2 layers instead of 1 (ablation)Dropout on Boston Housing · Boston Housingpredictive log-likelihood: -2.46 $\pm$ 0.06 -> -2.34 $\pm$ 0.02Helped
Set dropout probability to 0 (ablation)Dropout on Boston Housing · Boston HousingRMSE: 2.97 -> 3.07Hurt
Set dropout probability to 0 (ablation)Dropout on Boston Housing · Boston Housingpredictive log-likelihood: -2.46 -> -2.59Hurt

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