Nonparametric Uncertainty Quantification for Single Deterministic Neural Network
Nikita Kotelevskii, Aleksandr Artemenkov, Kirill Fedyanin, Fedor Noskov, Alexander Fishkov, Artem Shelmanov, Artem Vazhentsev, Aleksandr Petiushko, Maxim Panov
Abstract
This paper proposes a fast and scalable method for uncertainty quantification of machine learning models' predictions. First, we show the principled way to measure the uncertainty of predictions for a classifier based on Nadaraya-Watson's nonparametric estimate of the conditional label distribution. Importantly, the proposed approach allows to disentangle explicitly aleatoric and epistemic uncertainties. The resulting method works directly in the feature space. However, one can apply it to any neural network by considering an embedding of the data induced by the network. We demonstrate the strong performance of the method in uncertainty estimation tasks on text classification problems and a variety of real-world image datasets, such as MNIST, SVHN, CIFAR-100 and several versions of ImageNet. 36th Conference on Neural Information Processing Systems (NeurIPS 2022).
Ask about this paper
Your agent reads all of it.
Lune indexed this paper to the last equation, along with the top-tier papers that cite it. Ask a question and the answer quotes them.
Your agent calls
Luneget_paper_fulltext
Free to start. No credit card required.
Terminal
Install the CLIlune papers fulltext 2ef7ae08-b2b8-4489-874e-5b06d985650fCited by top-tier papers14
- Uncertainty Estimation by Density Aware Evidential Deep LearningTaeseong Yoon, Heeyoung KimICML 2024 · 16 citations
- Uncertainty Estimation by Flexible Evidential Deep LearningTaeseong Yoon, Heeyoung KimNeurIPS 2025 · 12 citations
- Hybrid Uncertainty Quantification for Selective Text Classification in Ambiguous TasksArtem Vazhentsev, Gleb Kuzmin, Akim Tsvigun, Alexander Panchenko et al.ACL 2023 · 11 citations
- A Data-Driven Measure of Relative Uncertainty for Misclassification DetectionEduardo Dadalto Câmara Gomes, Marco Romanelli, Georg Pichler, Pablo PiantanidaICLR 2024 · 11 citations
- Uncertainty Quantification with the Empirical Neural Tangent KernelJoseph Wilson, Chris van der Heide, Liam Hodgkinson, Fred RoostaNeurIPS 2025 · 11 citations
Builds on9
- The Many Faces of Robustness: A Critical Analysis of Out-of-Distribution GeneralizationDan Hendrycks, Steven Basart, Norman Mu, Saurav Kadavath et al.ICCV 2021 · 2,294 citations
- Energy-based Out-of-distribution DetectionWeitang Liu, Xiaoyun Wang, John D. Owens, Yixuan LiNeurIPS 2020 · 2,213 citations
- Simple and Principled Uncertainty Estimation with Deterministic Deep Learning via Distance AwarenessJeremiah Z. Liu, Zi Lin, Shreyas Padhy, Dustin Tran et al.NeurIPS 2020 · 604 citations
- Uncertainty Estimation Using a Single Deep Deterministic Neural NetworkJoost van Amersfoort, Lewis Smith, Yee Whye Teh, Yarin GalICML 2020 · 529 citations
- Detecting Out-of-Distribution Examples with Gram MatricesChandramouli Shama Sastry, Sageev OoreICML 2020 · 275 citations
Related papers
- The Unreasonable Effectiveness of Deep Evidential RegressionNis Meinert, Jakob Gawlikowski, Alexander LavinAAAI 2023 · 58 citations
- Pitfalls of Epistemic Uncertainty Quantification through Loss MinimisationViktor Bengs, Eyke Hüllermeier, Willem WaegemanNeurIPS 2022 · 78 citations
- Estimating Epistemic and Aleatoric Uncertainty with a Single ModelMatthew Chan, Maria Molina, Chris MetzlerNeurIPS 2024 · 76 citations
- Evidential Turing ProcessesMelih Kandemir, Abdullah Akgül, Manuel Haußmann, Gozde UnalICLR 2022 · 10 citations
- Rethinking Approximate Gaussian Inference in ClassificationBálint Mucsányi, Nathaël Da Costa, Philipp HennigNeurIPS 2025 · 2 citations
