Uncertainty-aware Sensitivity Analysis Using Rényi Divergences

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Conference article in proceedings
Date
2021-12-12
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Language
en
Pages
1185-1194
Series
Proceedings of the Thirty-Seventh Conference on Uncertainty in Artificial Intelligence, Proceedings of Machine Learning Research, Volume 161
Abstract
For nonlinear supervised learning models, assessing the importance of predictor variables or their interactions is not straightforward because importance can vary in the domain of the variables. Importance can be assessed locally with sensitivity analysis using general methods that rely on the model's predictions or their derivatives. In this work, we extend derivative based sensitivity analysis to a Bayesian setting by differentiating the Rényi divergence of a model's predictive distribution. By utilising the predictive distribution instead of a point prediction, the model uncertainty is taken into account in a principled way. Our empirical results on simulated and real data sets demonstrate accurate and reliable identification of important variables and interaction effects compared to alternative methods.
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Paananen , T , Andersen , M & Vehtari , A 2021 , Uncertainty-aware Sensitivity Analysis Using Rényi Divergences . in Proceedings of the Thirty-Seventh Conference on Uncertainty in Artificial Intelligence . Proceedings of Machine Learning Research , vol. 161 , JMLR , pp. 1185-1194 , Conference on Uncertainty in Artificial Intelligence , Virtual, Online , 27/07/2021 . < https://proceedings.mlr.press/v161/paananen21a.html >