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Deep learning models are being adopted and applied on various critical decision-making tasks, yet they are trained to provide point predictions without providing degrees of confidence. The trustworthiness of deep learning models can be…

Machine Learning · Computer Science 2024-10-28 Daniel Nolte , Souparno Ghosh , Ranadip Pal

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

Conformal prediction is an uncertainty quantification method that constructs a prediction set for a previously unseen datum, ensuring the true label is included with a predetermined coverage probability. Adaptive conformal prediction has…

Machine Learning · Computer Science 2024-11-07 Erfan Hajihashemi , Yanning Shen

A rich set of frequentist model averaging methods has been developed, but their applications have largely been limited to point prediction, as measuring prediction uncertainty in general settings remains an open problem. In this paper we…

Econometrics · Economics 2025-10-21 Zhongjun Qu , Wendun Wang , Xiaomeng Zhang

We introduce a fine-grained framework for uncertainty quantification of predictive models under distributional shifts. This framework distinguishes the shift in covariate distributions from that in the conditional relationship between the…

Methodology · Statistics 2025-05-20 Jiahao Ai , Zhimei Ren

Seasonal time series Forecasting remains a challenging problem due to the long-term dependency from seasonality. In this paper, we propose a two-stage framework to forecast univariate seasonal time series. The first stage explicitly learns…

Machine Learning · Computer Science 2021-06-08 Qingyang Xu , Qingsong Wen , Liang Sun

Conformal prediction is a simple and powerful tool that can quantify uncertainty without any distributional assumptions. Many existing methods only address the average coverage guarantee, which is not ideal compared to the stronger…

Machine Learning · Statistics 2023-02-21 Xing Han , Ziyang Tang , Joydeep Ghosh , Qiang Liu

Image segmentation is a challenging task influenced by multiple sources of uncertainty, such as the data labeling process or the sampling of training data. In this paper we focus on binary segmentation and address these challenges using…

Computer Vision and Pattern Recognition · Computer Science 2025-03-10 Luca Mossina , Corentin Friedrich

Current instance segmentation models achieve high performance on average predictions, but lack principled uncertainty quantification: their outputs are not calibrated, and there is no guarantee that a predicted mask is close to the ground…

Computer Vision and Pattern Recognition · Computer Science 2026-02-11 Kerri Lu , Dan M. Kluger , Stephen Bates , Sherrie Wang

We present a new distribution-free conformal prediction algorithm for sequential data (e.g., time series), called the \textit{sequential predictive conformal inference} (\texttt{SPCI}). We specifically account for the nature that time…

Machine Learning · Statistics 2023-05-31 Chen Xu , Yao Xie

This paper proposes a flexible and analytically tractable class of frequency and severity models for predicting insurance claims. The proposed model is able to capture nonlinear relationships in explanatory variables by characterizing the…

Econometrics · Economics 2025-04-01 Dong-Young Lim

Reliable uncertainty quantification is crucial for reinforcement learning (RL) in high-stakes settings. We propose a unified conformal prediction framework for infinite-horizon policy evaluation that constructs distribution-free prediction…

Machine Learning · Statistics 2025-10-31 Feichen Gan , Youcun Lu , Yingying Zhang , Yukun Liu

Time evolving surfaces can be modeled as two-dimensional Functional time series, exploiting the tools of Functional data analysis. Leveraging this approach, a forecasting framework for such complex data is developed. The main focus revolves…

Methodology · Statistics 2023-07-19 Niccolò Ajroldi , Jacopo Diquigiovanni , Matteo Fontana , Simone Vantini

We develop a skew-adaptive extension of split conformal prediction for regression. The method starts from an asymmetric interval family centered at a point prediction and uses the gauge approach to deduce the conformity score induced by…

Machine Learning · Statistics 2026-05-18 Paulo C. Marques F. , Helton Graziadei

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

We propose a multi-scale extension of conformal prediction, an approach that constructs prediction sets with finite-sample coverage guarantees under minimal statistical assumptions. Classic conformal prediction relies on a single notion of…

Statistics Theory · Mathematics 2025-02-11 Ali Baheri , Marzieh Amiri Shahbazi

We develop a general framework for distribution-free predictive inference in regression, using conformal inference. The proposed methodology allows for the construction of a prediction band for the response variable using any estimator of…

Methodology · Statistics 2017-03-09 Jing Lei , Max G'Sell , Alessandro Rinaldo , Ryan J. Tibshirani , Larry Wasserman

Conformal prediction is a technique for constructing prediction intervals that attain valid coverage in finite samples, without making distributional assumptions. Despite this appeal, existing conformal methods can be unnecessarily…

Methodology · Statistics 2019-05-09 Yaniv Romano , Evan Patterson , Emmanuel J. Candès

Split conformal prediction has recently sparked great interest due to its ability to provide formally guaranteed uncertainty sets or intervals for predictions made by black-box neural models, ensuring a predefined probability of containing…

Machine Learning · Computer Science 2024-01-29 António Farinhas , Chrysoula Zerva , Dennis Ulmer , André F. T. Martins

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