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Related papers: Optimal Conformal Prediction for Small Areas

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We study distribution free, nonparametric prediction bands with a special focus on their finite sample behavior. First we investigate and develop different notions of finite sample coverage guarantees. Then we give a new prediction band…

Methodology · Statistics 2012-03-27 Jing Lei , Larry Wasserman

Conformal predictors are machine learning algorithms that output prediction sets that have a guarantee of marginal validity for finite samples with minimal distributional assumptions. This is a property that makes conformal predictors…

Machine Learning · Computer Science 2021-03-03 Anthony Bellotti

We study the question of volume optimality in split conformal regression, a topic still poorly understood in comparison to coverage control. Using the fact that the calibration step can be seen as an empirical volume minimization problem,…

Machine Learning · Statistics 2025-02-17 Batiste Le Bars , Pierre Humbert

For exponentially distributed lifetimes, we consider the prediction of future order statistics based on having observed the first $m$ order statistics. We focus on the previously less explored aspects of predicting: (i) an arbitrary pair of…

Statistics Theory · Mathematics 2024-03-12 Akbar Asgharzadeh , Éric Marchand , Ali Saadati Nik

Conformal prediction can yield statistically valid prediction intervals for any regression model, with no model modifications and small computational costs. To assess its practical value, we apply conformal methods to quantify uncertainty…

Atmospheric and Oceanic Physics · Physics 2026-03-31 Miriam Simm , Corinna Hoose , Tom Beucler

Partition-wise models offer a flexible approach for modeling complex and multidimensional data that are capable of producing interpretable results. They are based on partitioning the observed data into regions, each of which is modeled with…

Methodology · Statistics 2017-06-07 Rex C. Y. Cheung , Alexander Aue , Thomas C. M. Lee

Zero-inflated outcomes, where responses are zero with positive probability and otherwise continuous, are common in biomedical, environmental, and social science studies. We propose a conformal prediction based framework that provides…

Conformal inference has played a pivotal role in providing uncertainty quantification for black-box ML prediction algorithms with finite sample guarantees. Traditionally, conformal prediction inference requires a data-independent…

Methodology · Statistics 2023-07-04 Siddhaarth Sarkar , Arun Kumar Kuchibhotla

We study the problem of conformal prediction in a novel online framework that directly optimizes efficiency. In our problem, we are given a target miscoverage rate $\alpha > 0$, and a time horizon $T$. On each day $t \le T$ an algorithm…

Machine Learning · Computer Science 2025-10-23 Vaidehi Srinivas

Conformal prediction delivers prediction intervals with distribution-free coverage, but its intervals can look overconfident in regions where the model is extrapolating, because standard conformal scores do not explicitly represent…

Machine Learning · Statistics 2026-03-10 Luben M. C. Cabezas , Sabina J. Sloman , Bruno M. Resende , Fanyi Wu , Michele Caprio , Rafael Izbicki

Forecasting surgical instrument trajectories and predicting the next surgical action recently started to attract attention from the research community. Both these tasks are crucial for automation and assistance in endoscopy surgery. Given…

Computer Vision and Pattern Recognition · Computer Science 2025-03-13 Sara Sangalli , Gary Sarwin , Ertunc Erdil , Alessandro Carretta , Victor Staartjes , Carlo Serra , Ender Konukoglu

The last decade has seen an explosion in data sources available for the monitoring and prediction of environmental phenomena. While several inferential methods have been developed that make predictions on the underlying process by combining…

Methodology · Statistics 2023-03-06 Eun-Hye Yoo , Andrew Zammit-Mangion , Michael G. Chipeta

Conformal predictive systems allow forecasters to issue predictive distributions for real-valued future outcomes that have out-of-sample calibration guarantees. On a more abstract level, conformal prediction makes use of in-sample…

Methodology · Statistics 2025-03-07 Sam Allen , Georgios Gavrilopoulos , Alexander Henzi , Gian-Reto Kleger , Johanna Ziegel

Conformal prediction is a framework for uncertainty quantification that constructs prediction sets for previously unseen data, guaranteeing coverage of the true label with a specified probability. However, the efficiency of these prediction…

Machine Learning · Computer Science 2026-01-06 Erfan Hajihashemi , Yanning Shen

Neural weather models have shown immense potential as inexpensive and accurate alternatives to physics-based models. However, most models trained to perform weather forecasting do not quantify the uncertainty associated with their…

This paper revisits the classical problem of interval estimation of a binomial proportion under Huber contamination. Our main result derives the rate of optimal interval length when the contamination proportion is unknown under a local…

Statistics Theory · Mathematics 2026-01-13 Minjun Cho , Yuetian Luo , Chao Gao

Conformal prediction has emerged as a powerful framework for constructing distribution-free prediction sets with guaranteed coverage assuming only the exchangeability assumption. However, this assumption is often violated in online…

Machine Learning · Statistics 2025-11-07 Jungbin Jun , Ilsang Ohn

We study the problem of uncertainty quantification via prediction sets, in an online setting where the data distribution may vary arbitrarily over time. Recent work develops online conformal prediction techniques that leverage regret…

Machine Learning · Computer Science 2023-02-16 Aadyot Bhatnagar , Huan Wang , Caiming Xiong , Yu Bai

Conformal prediction has recently emerged as a promising strategy for quantifying the uncertainty of a predictive model; these algorithms modify the model to output sets of labels that are guaranteed to contain the true label with high…

Machine Learning · Computer Science 2025-03-11 Botong Zhang , Shuo Li , Osbert Bastani

Conformal Prediction (CP) is a powerful statistical machine learning tool to construct uncertainty sets with coverage guarantees, which has fueled its extensive adoption in generating prediction regions for decision-making tasks, e.g.,…

Optimization and Control · Mathematics 2025-10-21 Han Wang , Chao Ning