mlsanityData to 7 Oct 2026

Conformalized Interval Arithmetic with Symmetric Calibration

arXiv 2408.10939 ↗First posted 20 Aug 2024cs.LG stat.MLcited by 8

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Abstract (arXiv)

Uncertainty quantification is essential in decision-making, especially when joint distributions of random variables are involved. While conformal prediction provides distribution-free prediction sets with valid coverage guarantees, it traditionally focuses on single predictions. This paper introduces novel conformal prediction methods for estimating the sum or average of unknown labels over specific index sets. We develop conformal prediction intervals for single target to the prediction interval for sum of multiple targets. Under permutation invariant assumptions, we prove the validity of our proposed method. We also apply our algorithms on class average estimation and path cost prediction tasks, and we show that our method outperforms existing conformalized approaches as well as non-conformal approaches.

Key facts. Cited by 8 papers in the map (data through 7 Oct 2026). Builds on 26 of its 39 references that are in the map. First posted on arXiv 20 Aug 2024.

Builds on

26 of 39 references.

References · 26

  1. 2016Distribution-Free Predictive Inference For Regressioncited by 657
  2. 2019Conformalized Quantile Regressioncited by 620
  3. 2022Conformal Risk Controlcited by 290
  4. 2021Testing for Outliers with Conformal p-valuescited by 133
  5. 2023Uncertainty Quantification over Graph with Conformalized Graph Neural Networkscited by 79
  6. 2021Conformal Prediction using Conditional Histogramscited by 77
  7. 2019A comparison of some conformal quantile regression methodscited by 76
  8. 2021Fair Conformal Predictors for Applications in Medical Imagingcited by 74
  9. 2022Selection by Prediction with Conformal p-valuescited by 66
  10. 2021Conformal Uncertainty Sets for Robust Optimizationcited by 49
  11. 2021Improving Conditional Coverage via Orthogonal Quantile Regressioncited by 48
  12. 2019With Malice Towards None: Assessing Uncertainty via Equalized Coveragecited by 43
14 more
  1. 2023Conformal Prediction Regions for Time Series using Linear Complementarity Programmingcited by 33
  2. 2022Bayesian Optimization with Conformal Prediction Setscited by 27
  3. 2023Conformal Contextual Robust Optimizationcited by 25
  4. 2024Trustworthy Classification through Rank-Based Conformal Prediction Setscited by 20
  5. 2022Conformalized Fairness via Quantile Regressioncited by 19
  6. 2021Anomalous Edge Detection in Edge Exchangeable Social Network Modelscited by 17
  7. 2023Predict-then-Calibrate: A New Perspective of Robust Contextual LPcited by 17
  8. 2023Derandomized Novelty Detection with FDR Control via Conformal E-valuescited by 15
  9. 2024Conformal Load Prediction with Transductive Graph Autoencoderscited by 11
  10. 2024Weighted Aggregation of Conformity Scores for Classificationcited by 11
  11. 2024Conformal Thresholded Intervals for Efficient Regressioncited by 11
  12. 2023Group-Conditional Conformal Prediction via Quantile Regression Calibration for Crop and Weed Classificationcited by 8
  13. 2024Entropy Reweighted Conformal Classificationcited by 8
  14. 2018Algorithms and Uncertainty Sets for Data-Driven Robust Shortest Path Problemscited by 6

Built on by

Cited by year (2026 to 7 Oct)

Citing papers per year: 2024: 1; 2025: 5; 2026: 2.

8 papers.

  1. 2025Volume-Sorted Prediction Set: Efficient Conformal Prediction for Multi-Target Regressioncited by 6
  2. 2025Enhancing Adversarial Robustness with Conformal Prediction: A Framework for Guaranteed Model Reliabilitycited by 6
  3. 2025Enhanced Route Planning with Calibrated Uncertainty Setcited by 5
  4. 2025Conditional Conformal Risk Adaptationcited by 5
  5. 2024Adaptive Conformal Inference by Particle Filtering under Hidden Markov Modelscited by 4
  6. 2026Fast Conformal Prediction using Conditional Interquantile Intervalscited by 3
  7. 2025Residual Reweighted Conformal Prediction for Graph Neural Networkscited by 2
  8. 2026Simulation-Augmented Multi-Step Split Conformal Prediction for Aggregated Forecastscited by 0