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Conformal Prediction: a Unified Review of Theory and New Challenges

Matteo Fontana, Gianluca Zeni, Simone Vantini

arXiv 16 May 2020 · Machine Learning · publishedBernoulli (2022) · 156 citations (OpenAlex)

arXiv:2005.07972 · PDF · DOI · OpenAlex · Extracted main text

Abstract

In this work we provide a review of basic ideas and novel developments about Conformal Prediction -- an innovative distribution-free, non-parametric forecasting method, based on minimal assumptions -- that is able to yield in a very straightforward way predictions sets that are valid in a statistical sense also in in the finite sample case. The in-depth discussion provided in the paper covers the theoretical underpinnings of Conformal Prediction, and then proceeds to list the more advanced developments and adaptations of the original idea.

Citation extraction

76
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in-text mentions
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distinct cited
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main-text words

appendix boundary found by none_found · 100% of the source is main text. Read the extracted text to check this.

Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1M. Fontana, G. Zeni and S. Vantini (2021) Supplementary Material to "Conformal Prediction: a Unified Review of Theory and New Challenges" self1.00093100%
2Balasubramanian, V., Ho, S.-S., and Vovk, V (2014) Conformal prediction for reliable machine learning: theory, adaptations and applications1.00063100%
3Vovk, V., Gammerman, A., and Shafer, G (2005) Algorithmic Learning in a Random World0.874122100%
4Lei, J., G'Sell, M., Rinaldo, A., Tibshirani, R. J. and Wasserman, L (2018) Distribution-free predictive inference for regression0.87462100%
5Shafer, G. and Vovk, V (2008) A tutorial on conformal prediction0.87452100%
6Lei, J., Rinaldo, A., and Wasserman, L (2015) A conformal prediction approach to explore functional data0.81142100%
7Vovk, V (2002) Online confidence machines are well-calibrated0.73732100%
Vovk et~al.unmatched citation key Vovk et~al.0.69371100%
Papadopoulos et~al.unmatched citation key Papadopoulos et~al.0.64441100%
Vovkunmatched citation key Vovk0.64441100%

Showing the top 10 of 114 scored citations. 3 of these could not be matched to a bibliography entry, so only the citation key is shown.

Cited by, within the corpus

arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.

Citing paperIntensityMentionsSections
1Conformal Prediction Bands for Two-Dimensional Functional Time Series0.40511
2Calibrated quantile prediction for Growth-at-Risk0.40511
3A Gentle Introduction to Conformal Time Series Forecasting0.40511