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Collapsed Inference for Bayesian Deep Learning

NeurIPS 2023 · Probabilistic and scientific modeling › Uncertainty and Gaussian processes · approach: Approximate inference in Bayesian neural networks · 1 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use CIBER collapsed samples and WMI marginalization instead of SGLDVGG-16 · CIFAR-10NLL: 0.2001 $\pm$ 0.0059 -> 0.1927 $\pm$ 0.0029Helped
Use CIBER collapsed samples and WMI marginalization instead of SGLDVGG-16 · CIFAR-100NLL: 0.9699 $\pm$ 0.0057 -> 0.9193 $\pm$ 0.0027Helped
Use CIBER instead of SGLDVGG-16 · CIFAR-10ECE: 0.0082 $\pm$ 0.0012 -> 0.0130 $\pm$ 0.0011Hurt
Use CIBER instead of SGLDVGG-16 · CIFAR-100ECE: 0.0424 $\pm$ 0.0029 -> 0.0168 $\pm$ 0.0025Helped
Use CIBER instead of the strongest reported log-likelihood baselineBayesian regression model · Yachttest log likelihood: -0.225 $\pm$ 0.400 -> -0.678 $\pm$ 0.301Hurt
Replace Monte Carlo point estimates with uniform collapsed posterior integrationCIBER · Bayesian linear regressionKL divergence: 0.130 -> 0.069Helped
Use CIBER instead of SWAGVGG-16 · CIFAR-10 to STL-10NLL: 1.3425 $\pm$ 0.0015 -> 0.9869 $\pm$ 0.0102Helped
Choose the last layer rather than three weights at the second-to-last layer as the collapsed set (ablation)CIBER · Concretetest log likelihood: -2.975 $\pm$ 0.102 -> -2.959 $\pm$ 0.109Helped
Choose the last layer rather than three weights at the second-to-last layer as the collapsed set (ablation)CIBER · Navaltest log likelihood: 7.276 $\pm$ 0.532 -> 7.482 $\pm$ 0.188Helped
Choose the last layer rather than three weights at the second-to-last layer as the collapsed set (ablation)CIBER · KeggDtest log likelihood: 1.245 $\pm$ 0.090 -> 1.178 $\pm$ 0.088Hurt
Choose the last layer rather than three weights at the second-to-last layer as the collapsed set (ablation)CIBER · KeggUtest log likelihood: 1.125 $\pm$ 0.269 -> 0.964 $\pm$ 0.231Hurt
Choose the last layer rather than three weights at the second-to-last layer as the collapsed set (ablation)CIBER · Poltest log likelihood: 2.555 $\pm$ 0.115 -> 2.506 $\pm$ 0.150Hurt

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