Reliable Prediction Intervals with Regression Neural Networks
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Abstract (arXiv)
This paper proposes an extension to conventional regression Neural Networks (NNs) for replacing the point predictions they produce with prediction intervals that satisfy a required level of confidence. Our approach follows a novel machine learning framework, called Conformal Prediction (CP), for assigning reliable confidence measures to predictions without assuming anything more than that the data are independent and identically distributed (i.i.d.). We evaluate the proposed method on four benchmark datasets and on the problem of predicting Total Electron Content (TEC), which is an important parameter in trans-ionospheric links; for the latter we use a dataset of more than 60000 TEC measurements collected over a period of 11 years. Our experimental results show that the prediction intervals produced by our method are both well-calibrated and tight enough to be useful in practice.
Key facts. Cited by 11 papers in the map (data through 14 Oct 2026). Builds on 2 of its 49 references that are in the map. First posted on arXiv 15 Dec 2023.
Builds on
2 of 49 references.
References · 2
- 2013Learning by Transductioncited by 121
- 2014Regression Conformal Prediction with Nearest Neighbourscited by 59
Built on by
Citing papers per year: 2023: 1; 2024: 5; 2025: 3; 2026: 2.
11 papers.
- 2024Conformal Prediction: A Data Perspectivecited by 25
- 2025Rectifying Conformity Scores for Better Conditional Coveragecited by 17
- 2024Early Time Classification with Accumulated Accuracy Gap Controlcited by 11
- 2024TorchCP: A Python Library for Conformal Predictioncited by 9
- 2024Conformal Convolution and Monte Carlo Meta-learners for Predictive Inference of Individual Treatment Effectscited by 8
- 2024Conformalized Selective Regressioncited by 5
- 2025Reliable uncertainty quantification for 2D/3D anatomical landmark localization using multi-output conformal predictioncited by 3
- 2025Approximating Full Conformal Prediction for Neural Network Regression with Gauss-Newton Influencecited by 1
- 2023Vesicoureteral Reflux Detection with Reliable Probabilistic Outputscited by 0
- 2026Softmax is not Enough (for Adaptive Conformal Classification)cited by 0
- 2026SPACR: Single-Pass Adaptive Training of Uncertainty-Aware Conformal Regressorscited by 0
- 2026SPACR: Single-Pass Adaptive Training of Uncertainty-Aware Conformal Regressors9 Jun 2026
- 2026Softmax is not Enough (for Adaptive Conformal Classification)23 Feb 2026
- 2025Approximating Full Conformal Prediction for Neural Network Regression with Gauss-Newton Influence27 Jul 2025
- 2025Reliable uncertainty quantification for 2D/3D anatomical landmark localization using multi-output conformal prediction18 Mar 2025
- 2025Rectifying Conformity Scores for Better Conditional Coverage22 Feb 2025
- 2024Conformal Prediction: A Data Perspective9 Oct 2024
- 2024Conformalized Selective Regression26 Feb 2024
- 2024TorchCP: A Python Library for Conformal Prediction20 Feb 2024
- 2024Conformal Convolution and Monte Carlo Meta-learners for Predictive Inference of Individual Treatment Effects7 Feb 2024
- 2024Early Time Classification with Accumulated Accuracy Gap Control1 Feb 2024
- 2023Vesicoureteral Reflux Detection with Reliable Probabilistic Outputs18 Dec 2023