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Uncertainty Estimation using Variance-Gated Distributions

Machine Learning 2025-09-12 v1 Artificial Intelligence Machine Learning

Abstract

Evaluation of per-sample uncertainty quantification from neural networks is essential for decision-making involving high-risk applications. A common approach is to use the predictive distribution from Bayesian or approximation models and decompose the corresponding predictive uncertainty into epistemic (model-related) and aleatoric (data-related) components. However, additive decomposition has recently been questioned. In this work, we propose an intuitive framework for uncertainty estimation and decomposition based on the signal-to-noise ratio of class probability distributions across different model predictions. We introduce a variance-gated measure that scales predictions by a confidence factor derived from ensembles. We use this measure to discuss the existence of a collapse in the diversity of committee machines.

Keywords

Cite

@article{arxiv.2509.08846,
  title  = {Uncertainty Estimation using Variance-Gated Distributions},
  author = {H. Martin Gillis and Isaac Xu and Thomas Trappenberg},
  journal= {arXiv preprint arXiv:2509.08846},
  year   = {2025}
}
R2 v1 2026-07-01T05:30:37.376Z