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Traditional Statistical Process Control (SPC) is essential for quality management but is limited by its reliance on often violated statistical assumptions, leading to unreliable monitoring in modern, complex manufacturing environments. This…

Machine Learning · Computer Science 2025-12-30 Christopher Burger

To quantify uncertainty around point estimates of conditional objects such as conditional means or variances, parameter uncertainty has to be taken into account. Attempts to incorporate parameter uncertainty are typically based on the…

Econometrics · Economics 2019-01-23 Eric Beutner , Alexander Heinemann , Stephan Smeekes

Quantifying uncertainty in clinical predictions is critical for high-stakes diagnosis tasks. Conformal prediction offers a principled approach by providing prediction sets with theoretical coverage guarantees. However, in practice, patient…

Machine Learning · Computer Science 2026-05-01 Arjun Chatterjee , Sayeed Sajjad Razin , John Wu , Siddhartha Laghuvarapu , Jathurshan Pradeepkumar , Jimeng Sun

Modern image classifiers are very accurate, but the predictions come without uncertainty estimates. Conformal predictors provide uncertainty estimates by computing a set of classes containing the correct class with a user-specified…

Machine Learning · Computer Science 2023-06-06 Fatih Furkan Yilmaz , Reinhard Heckel

Conformal prediction is a popular method to construct prediction intervals with marginal coverage guarantees from black-box machine learning models. In applications with potentially high-impact events, such as flooding or financial crises,…

Methodology · Statistics 2026-04-02 Olivier C. Pasche , Henry Lam , Sebastian Engelke

Medical imaging classifiers can achieve high predictive accuracy, but quantifying their uncertainty remains an unresolved challenge, which prevents their deployment in medical clinics. We present an algorithm that can modify any classifier…

Machine Learning · Computer Science 2024-08-12 Roy Hirsch , Jacob Goldberger

This paper develops a method to construct uniform confidence bands for a nonparametric regression function where a predictor variable is subject to a measurement error. We allow for the distribution of the measurement error to be unknown,…

Statistics Theory · Mathematics 2019-06-17 Kengo Kato , Yuya Sasaki

Conformal prediction (CP) provides powerful, distribution-free prediction sets, but its guarantees rely on the exchangeability of training and test data, which is often violated in practice due to covariate shifts. While weighted conformal…

Machine Learning · Computer Science 2026-05-05 James Wang , Surbhi Goel

Quantile and quantile effect functions are important tools for descriptive and causal analyses due to their natural and intuitive interpretation. Existing inference methods for these functions do not apply to discrete random variables. This…

Methodology · Statistics 2018-09-03 Victor Chernozhukov , Iván Fernández-Val , Blaise Melly , Kaspar Wüthrich

We extend conformal prediction methodology beyond the case of exchangeable data. In particular, we show that a weighted version of conformal prediction can be used to compute distribution-free prediction intervals for problems in which the…

Methodology · Statistics 2020-07-08 Ryan J. Tibshirani , Rina Foygel Barber , Emmanuel J. Candes , Aaditya Ramdas

Traditional regression and prediction tasks often only provide deterministic point estimates. To estimate the distribution or uncertainty of the response variable, traditional methods either assume that the posterior distribution of samples…

Machine Learning · Computer Science 2025-01-08 Daojun Liang , Haixia Zhang , Dongfeng Yuan

Volumetry is one of the principal downstream applications of 3D medical image segmentation, for example, to detect abnormal tissue growth or for surgery planning. Conformal Prediction is a promising framework for uncertainty quantification,…

Computer Vision and Pattern Recognition · Computer Science 2024-07-30 Benjamin Lambert , Florence Forbes , Senan Doyle , Michel Dojat

Prediction sets provide a means of quantifying the uncertainty in predictive tasks. Using held out calibration data, conformal prediction and risk control can produce prediction sets that exhibit statistically valid error control in a…

Machine Learning · Statistics 2026-02-05 Bror Hultberg , Dave Zachariah , Antônio H. Ribeiro

Let $f$ be a probability density and $C$ be an interval on which $f$ is bounded away from zero. By establishing the limiting distribution of the uniform error of the kernel estimates $f_n$ of $f$, Bickel and Rosenblatt (1973) provide…

Statistics Theory · Mathematics 2007-06-13 Abdelkader Mokkadem , Mariane Pelletier

We propose several prediction intervals procedures for the individual treatment effect with either finite-sample or asymptotic coverage guarantee in a non-parametric regression setting, where non-linear regression functions,…

Methodology · Statistics 2020-06-03 Danijel Kivaranovic , Robin Ristl , Martin Posch , Hannes Leeb

Conformal prediction is widely used to equip black-box machine learning models with uncertainty quantification, offering formal coverage guarantees under exchangeable data. However, these guarantees fail when faced with subpopulation…

Machine Learning · Computer Science 2025-11-10 Nien-Shao Wang , Duygu Nur Yaldiz , Yavuz Faruk Bakman , Sai Praneeth Karimireddy

We propose an estimation method for the conditional mode when the conditioning variable is high-dimensional. In the proposed method, we first estimate the conditional density by solving quantile regressions multiple times. We then estimate…

Machine Learning · Statistics 2017-12-27 Hirofumi Ohta , Satoshi Hara

Conformal prediction (CP) constructs prediction sets with marginal coverage guarantees under the assumption that the calibration and test distributions are identical. However, under distribution shift, existing approaches primarily align…

Machine Learning · Computer Science 2026-05-05 Rui Xu , Xingyuan Chen , Wenxing Huang , Minxuan Huang , Weiyan Chen , Sihong Xie , Hui Xiong

Constructing valid confidence sets is a crucial task in statistical inference, yet traditional methods often face challenges when dealing with complex models or limited observed sample sizes. These challenges are frequently encountered in…

Conformal prediction constructs a confidence set for an unobserved response of a feature vector based on previous identically distributed and exchangeable observations of responses and features. It has a coverage guarantee at any nominal…

Machine Learning · Statistics 2022-12-08 Eugene Ndiaye , Ichiro Takeuchi