mlsanityData to 7 Oct 2026

Conformal Risk Control for Non-Monotonic Losses

arXiv 2602.20151 ↗First posted 23 Feb 2026stat.ME cs.LG math.STcited by 5

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Abstract (arXiv)

Conformal risk control is an extension of conformal prediction for controlling risk functions beyond miscoverage. The original algorithm controls the expected value of a loss that is monotonic in a one-dimensional parameter. Here, we present risk control guarantees for generic algorithms applied to possibly non-monotonic losses with multidimensional parameters. The guarantees depend on the stability of the algorithm -- unstable algorithms have looser guarantees. We give applications of this technique to selective image classification, FDR and IOU control of tumor segmentations, and multigroup debiasing of recidivism predictions across overlapping race and sex groups using empirical risk minimization.

Key facts. Cited by 5 papers in the map (data through 7 Oct 2026). Builds on 25 of its 49 references that are in the map. First posted on arXiv 23 Feb 2026.

Builds on

25 of 49 references.

References · 25

  1. 2015Deep Residual Learning for Image Recognitioncited by 51,809
  2. 2021A Gentle Introduction to Conformal Prediction and Distribution-Free Uncertainty Quantificationcited by 777
  3. 2016Distribution-Free Predictive Inference For Regressioncited by 657
  4. 2015Train faster, generalize better: Stability of stochastic gradient descentcited by 547
  5. 2019Conformal Prediction Under Covariate Shiftcited by 511
  6. 2020PraNet: Parallel Reverse Attention Network for Polyp Segmentationcited by 460
  7. 2022Conformal prediction beyond exchangeabilitycited by 348
  8. 2022Conformal Risk Controlcited by 290
  9. 2021Learn then Test: Calibrating Predictive Algorithms to Achieve Risk Controlcited by 256
  10. 2018Multiaccuracy: Black-Box Post-Processing for Fairness in Classificationcited by 221
  11. 2023Conformal Prediction With Conditional Guaranteescited by 146
  12. 2013Learning by Transductioncited by 120
13 more
  1. 2024Theoretical Foundations of Conformal Predictioncited by 96
  2. 2019Sharper bounds for uniformly stable algorithmscited by 91
  3. 2013A Conformal Prediction Approach to Explore Functional Datacited by 85
  4. 2022Batch Multivalid Conformal Predictioncited by 66
  5. 2022Practical Adversarial Multivalid Conformal Predictioncited by 65
  6. 2018Generalization Bounds for Uniformly Stable Algorithmscited by 56
  7. 2023How to Trust Your Diffusion Model: A Convex Optimization Approach to Conformal Risk Controlcited by 50
  8. 2024Conformal Validity Guarantees Exist for Any Data Distribution (and How to Find Them)cited by 26
  9. 2022Efficiently Controlling Multiple Risks with Pareto Testingcited by 21
  10. 2024Automatically Adaptive Conformal Risk Controlcited by 16
  11. 2021Black-box tests for algorithmic stabilitycited by 15
  12. 2025Gradient Equilibrium in Online Learning: Theory and Applicationscited by 12
  13. 2020Post-Selection Inference via Algorithmic Stabilitycited by 7

Built on by

Cited by year (2026 to 7 Oct)

Citing papers per year: 2026: 5.

5 papers.

  1. 2026Conformal Policy Controlcited by 5
  2. 2026A Joint Finite-Sample Certificate for Adaptive Selective Conformal Risk Controlcited by 3
  3. 2026Conformal Risk Control under Non-Monotone Losses: Theory and Finite-Sample Guaranteescited by 2
  4. 2026Risk-Controlled Post-Processing of Decision Policiescited by 1
  5. 2026Certified Domain Consistency for Multi-Domain Retrieval: Label-Free Per-Domain Contamination Control with Conformal Risk Guaranteescited by 0