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Conformal inference is a popular tool for constructing prediction intervals (PI). We consider here the scenario of post-selection/selective conformal inference, that is PIs are reported only for individuals selected from an unlabeled test…

Methodology · Statistics 2024-03-13 Yajie Bao , Yuyang Huo , Haojie Ren , Changliang Zou

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

This paper aims to predict optimal solutions for combinatorial optimization problems (COPs) via machine learning (ML). To find high-quality solutions efficiently, existing work uses a ML prediction of the optimal solution to guide heuristic…

Optimization and Control · Mathematics 2023-01-30 Yunzhuang Shen , Yuan Sun , Xiaodong Li , Andrew Eberhard , Andreas Ernst

Machine learning has become an effective tool for automatically annotating unstructured data (e.g., images) with structured labels (e.g., object detections). As a result, a new programming paradigm called neurosymbolic programming has…

Programming Languages · Computer Science 2024-05-28 Ramya Ramalingam , Sangdon Park , Osbert Bastani

This tutorial focuses on efficient methods to predictive monitoring (PM), the problem of detecting at runtime future violations of a given requirement from the current state of a system. While performing model checking at runtime would…

Artificial Intelligence · Computer Science 2023-12-05 Francesca Cairoli , Luca Bortolussi , Nicola Paoletti

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

Data-driven surrogate models offer quick approximations to complex numerical and experimental systems but typically lack uncertainty quantification, limiting their reliability in safety-critical applications. While Bayesian methods provide…

Conformal Prediction (CP) has recently received a tremendous amount of interest, leading to a wide range of new theoretical and methodological results for predictive inference with formal theoretical guarantees. However, the vast majority…

Statistics Theory · Mathematics 2025-08-22 Manit Paul , Arun Kumar Kuchibhotla , Eric J. Tchetgen Tchetgen

The quantitative structure-activity relationship (QSAR) regression model is a commonly used technique for predicting biological activities of compounds using their molecular descriptors. Predictions from QSAR models can help, for example,…

Biomolecules · Quantitative Biology 2023-04-04 Yuting Xu , Andy Liaw , Robert P. Sheridan , Vladimir Svetnik

Conformal Prediction (CP) allows to perform rigorous uncertainty quantification by constructing a prediction set $C(X)$ satisfying $\mathbb{P}(Y \in C(X))\geq 1-\alpha$ for a user-chosen $\alpha \in [0,1]$ by relying on calibration data…

Machine Learning · Computer Science 2023-10-25 David Stutz , Abhijit Guha Roy , Tatiana Matejovicova , Patricia Strachan , Ali Taylan Cemgil , Arnaud Doucet

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

Conformal prediction (CP) and its extension, conformal risk control (CRC), are established frameworks for quantifying uncertainty in supervised machine learning through formal guarantees. However, recent breakthroughs in artificial…

Machine Learning · Computer Science 2026-05-29 Gabriel Loaiza-Ganem , Kevin Zhang , Wei Cui , Marc T. Law , Kin Kwan Leung

Conformal prediction (CP) offers distribution-free uncertainty quantification for machine learning models, yet its interplay with fairness in downstream decision-making remains underexplored. Moving beyond CP as a standalone operation…

Machine Learning · Statistics 2026-02-20 Pengqi Liu , Zijun Yu , Mouloud Belbahri , Arthur Charpentier , Masoud Asgharian , Jesse C. Cresswell

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

When a machine learning model is deployed, its predictions can alter its environment, as better informed agents strategize to suit their own interests. With such alterations in mind, existing approaches to uncertainty quantification break.…

Machine Learning · Statistics 2024-11-05 Daniel Csillag , Claudio José Struchiner , Guilherme Tegoni Goedert

We introduce Conformal Decision Theory, a framework for producing safe autonomous decisions despite imperfect machine learning predictions. Examples of such decisions are ubiquitous, from robot planning algorithms that rely on pedestrian…

In clinical applications, the utility of segmentation models is often based on the accuracy of derived downstream metrics such as organ size, rather than by the pixel-level accuracy of the segmentation masks themselves. Thus, uncertainty…

Image and Video Processing · Electrical Eng. & Systems 2026-03-03 Matt Y. Cheung , Ashok Veeraraghavan , Guha Balakrishnan

Uncertainty quantification in prediction presents a compelling challenge with vast applications across various domains, including biomedical science, economics, and weather forecasting. There exists a wide array of methods for constructing…

Methodology · Statistics 2024-07-16 Jianqing Fan , Jiawei Ge , Debarghya Mukherjee

Conformal Prediction provides distribution-free prediction intervals with guaranteed coverage, but its reliance on a single global calibration threshold obscures the sources of uncertainty at the instance level. In particular, it conflates…

Conformal prediction (CP) is a promising uncertainty quantification framework which works as a wrapper around a black-box classifier to construct prediction sets (i.e., subset of candidate classes) with provable guarantees. However,…

Machine Learning · Computer Science 2025-06-10 Yuanjie Shi , Hooman Shahrokhi , Xuesong Jia , Xiongzhi Chen , Janardhan Rao Doppa , Yan Yan
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