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Exchangeability, Conformal Prediction, and Rank Tests

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arxiv 2005.06095 v3 pith:VCLWF4YH submitted 2020-05-13 stat.ME stat.APstat.ML

classification stat.MEstat.APstat.ML
keywords predictionconformalexchangeabilityranktestsconceptcorediscuss
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Conformal prediction has been a very popular method of distribution-free predictive inference in recent years in machine learning and statistics. Its popularity stems from the fact that it works as a wrapper around any prediction algorithm such as neural networks or random forests. Exchangeability is at the core of the validity of conformal prediction. The concept of exchangeability is also at the core of rank tests widely known in nonparametric statistics. In this paper, we review the concept of exchangeability and discuss the implications for conformal prediction and rank tests. We provide a low-level introduction to these topics, and discuss the similarities between conformal prediction and rank tests.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Conformalized Lee Inference: Distribution-Free Individual Treatment Effect Intervals under Monotone Sample Selection

    econ.EM 2026-07 conditional novelty 7.0 of 10

    Under monotone sample selection, calibrating conformal scores at the (1−απ) treated-selected quantile yields finite-sample, minimax-valid prediction intervals for always-selected counterfactuals and ITEs.

  2. CRT*: Conditional Randomization Testing with Heterogeneous External and Unlabeled Data

    stat.ME 2026-07 conditional novelty 6.0 of 10

    CRT* adaptively fuses internal, external, and unlabeled data via transfer learning and smooth residual bootstrap to give valid and more powerful conditional randomization tests under distributional heterogeneity.

  3. Multiply Robust Conformal Risk Control with Coarsened Data

    math.ST 2025-08 unverdicted novelty 6.0 of 10

    A conformal risk control framework using efficient influence functions yields distribution-free prediction sets for outcomes trained on coarsened, missing, or censored data.

  4. Test-time augmentation improves efficiency in conformal prediction

    cs.LG 2025-05 conditional novelty 6.0 of 10

    Applying learned test-time augmentation before conformal scoring reduces prediction set sizes by 10-14% with no loss of nominal coverage.

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