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Scaling Laws for Uncertainty in Deep Learning

  • Deep learning has revealed scaling laws that predict model performance based on dataset and model sizes.
  • Researchers are exploring whether similar scaling laws govern predictive uncertainties in deep learning.
  • In identifiable parametric models, scaling laws for uncertainty can be derived by treating model parameters in a Bayesian way.
  • Guarantees on uncertainty contraction rates do not hold in over-parameterized models.
  • Empirical evidence shows scaling laws for predictive uncertainty with respect to dataset and model sizes.
  • Experiments on vision and language tasks confirm scaling laws for predictive uncertainty using Bayesian inference and ensemble methods.
  • This research challenges skepticism towards Bayesian approaches in deep learning.
  • Having a large amount of data is not sufficient to eliminate epistemic uncertainty.

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