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Main Authors: Valdenegro-Toro, Matias, de Jong, Ivo Pascal, Zullich, Marco
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2406.18787
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author Valdenegro-Toro, Matias
de Jong, Ivo Pascal
Zullich, Marco
author_facet Valdenegro-Toro, Matias
de Jong, Ivo Pascal
Zullich, Marco
contents Modelling uncertainty in Machine Learning models is essential for achieving safe and reliable predictions. Most research on uncertainty focuses on output uncertainty (predictions), but minimal attention is paid to uncertainty at inputs. We propose a method for propagating uncertainty in the inputs through a Neural Network that is simultaneously able to estimate input, data, and model uncertainty. Our results show that this propagation of input uncertainty results in a more stable decision boundary even under large amounts of input noise than comparatively simple Monte Carlo sampling. Additionally, we discuss and demonstrate that input uncertainty, when propagated through the model, results in model uncertainty at the outputs. The explicit incorporation of input uncertainty may be beneficial in situations where the amount of input uncertainty is known, though good datasets for this are still needed.
format Preprint
id arxiv_https___arxiv_org_abs_2406_18787
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Unified Uncertainties: Combining Input, Data and Model Uncertainty into a Single Formulation
Valdenegro-Toro, Matias
de Jong, Ivo Pascal
Zullich, Marco
Machine Learning
Modelling uncertainty in Machine Learning models is essential for achieving safe and reliable predictions. Most research on uncertainty focuses on output uncertainty (predictions), but minimal attention is paid to uncertainty at inputs. We propose a method for propagating uncertainty in the inputs through a Neural Network that is simultaneously able to estimate input, data, and model uncertainty. Our results show that this propagation of input uncertainty results in a more stable decision boundary even under large amounts of input noise than comparatively simple Monte Carlo sampling. Additionally, we discuss and demonstrate that input uncertainty, when propagated through the model, results in model uncertainty at the outputs. The explicit incorporation of input uncertainty may be beneficial in situations where the amount of input uncertainty is known, though good datasets for this are still needed.
title Unified Uncertainties: Combining Input, Data and Model Uncertainty into a Single Formulation
topic Machine Learning
url https://arxiv.org/abs/2406.18787