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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

Time series forecasting is critical for many applications, where deep learning-based point prediction models have demonstrated strong performance. However, in practical scenarios, there is also a need to quantify predictive uncertainty…

Machine Learning · Computer Science 2025-05-14 Xiannan Huang , Shuhan Qiu

Uncertainty estimates must be calibrated (i.e., accurate) and sharp (i.e., informative) in order to be useful. This has motivated a variety of methods for recalibration, which use held-out data to turn an uncalibrated model into a…

Machine Learning · Computer Science 2022-07-06 Charles Marx , Shengjia Zhao , Willie Neiswanger , Stefano Ermon

While conformal predictors reap the benefits of rigorous statistical guarantees on their error frequency, the size of their corresponding prediction sets is critical to their practical utility. Unfortunately, there is currently a lack of…

Machine Learning · Statistics 2024-03-12 Guneet S. Dhillon , George Deligiannidis , Tom Rainforth

We study conformal prediction in the one-shot federated learning setting. The main goal is to compute marginally and training-conditionally valid prediction sets, at the server-level, in only one round of communication between the agents…

Statistics Theory · Mathematics 2024-05-22 Pierre Humbert , Batiste Le Bars , Aurélien Bellet , Sylvain Arlot

In statistics, forecast uncertainty is often quantified using a specified statistical model, though such approaches may be vulnerable to model misspecification, selection bias, and limited finite-sample validity. While bootstrapping can…

Methodology · Statistics 2026-03-12 Han Lin Shang

Conformal Prediction is a machine learning methodology that produces valid prediction regions under mild conditions. In this paper, we explore the application of making predictions over multiple data sources of different sizes without…

Machine Learning · Statistics 2018-06-15 Ola Spjuth , Lars Carlsson , Niharika Gauraha

Depth measures have gained popularity in the statistical literature for defining level sets in complex data structures like multivariate data, functional data, and graphs. Despite their versatility, integrating depth measures into…

We revisit the problem of constructing predictive confidence sets for which we wish to obtain some type of conditional validity. We provide new arguments showing how ``split conformal'' methods achieve near desired coverage levels with high…

Statistics Theory · Mathematics 2025-03-04 John C. Duchi

We introduce Volume-Sorted Prediction Set (VSPS), a novel method for uncertainty quantification in multi-target regression that uses conditional normalizing flows with conformal calibration. This approach constructs flexible, non-convex…

Machine Learning · Computer Science 2025-03-05 Rui Luo , Zhixin Zhou

Conformal prediction is a powerful post-hoc framework for uncertainty quantification that provides distribution-free coverage guarantees. However, these guarantees crucially rely on the assumption of exchangeability. This assumption is…

Methodology · Statistics 2025-11-18 M. Stocker , W. Małgorzewicz , M. Fontana , S. Ben Taieb

Conformal prediction methods construct prediction regions for iid data that are valid in finite samples. We provide two parametric conformal prediction regions that are applicable for a wide class of continuous statistical models. This…

Methodology · Statistics 2019-10-29 Daniel J. Eck , Forrest W. Crawford

Conformal prediction has received tremendous attention in recent years and has offered new solutions to problems in missing data and causal inference; yet these advances have not leveraged modern semiparametric efficiency theory for more…

Methodology · Statistics 2022-12-14 Yachong Yang , Arun Kumar Kuchibhotla , Eric Tchetgen Tchetgen

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

We propose a nonparametric quantile regression method using deep neural networks with a rectified linear unit penalty function to avoid quantile crossing. This penalty function is computationally feasible for enforcing non-crossing…

Machine Learning · Statistics 2022-10-20 Wenlu Tang , Guohao Shen , Yuanyuan Lin , Jian Huang

Existing conformal prediction algorithms estimate prediction intervals at target confidence levels to characterize the performance of a regression model on new test samples. However, considering an autonomous system consisting of multiple…

Machine Learning · Computer Science 2023-09-25 Yunye Gong , Yi Yao , Xiao Lin , Ajay Divakaran , Melinda Gervasio

There are relatively few works dealing with conformal prediction for multi-task learning issues, and this is particularly true for multi-target regression. This paper focuses on the problem of providing valid (i.e., frequency calibrated)…

Machine Learning · Computer Science 2021-01-29 Soundouss Messoudi , Sébastien Destercke , Sylvain Rousseau

Conformal prediction methods provide statistically rigorous marginal coverage guarantees for machine learning models, but such guarantees fail to account for algorithmic biases, thereby undermining fairness and trust. This paper introduces…

Machine Learning · Computer Science 2026-05-13 Senrong Xu , Yanke Zhou , Yuhao Tan , Zenan Li , Yuan Yao , Taolue Chen , Feng Xu , Xiaoxing Ma

We develop fast distribution-free conformal prediction algorithms for obtaining multivalid coverage on exchangeable data in the batch setting. Multivalid coverage guarantees are stronger than marginal coverage guarantees in two ways: (1)…

Machine Learning · Computer Science 2022-10-03 Christopher Jung , Georgy Noarov , Ramya Ramalingam , Aaron Roth

This paper introduces a conformal inference method to evaluate uncertainty in classification by generating prediction sets with valid coverage conditional on adaptively chosen features. These features are carefully selected to reflect…

Machine Learning · Statistics 2024-10-31 Yanfei Zhou , Matteo Sesia