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We develop and analyze a principled approach to kernel ridge regression under covariate shift. The goal is to learn a regression function with small mean squared error over a target distribution, based on unlabeled data from there and…

Methodology · Statistics 2025-07-25 Kaizheng Wang

Conformal prediction (CP) has become a cornerstone of distribution-free uncertainty quantification, conventionally evaluated by its coverage and interval length. This work critically examines the sufficiency of these standard metrics. We…

Machine Learning · Statistics 2026-01-30 Yizhou Min , Yizhou Lu , Lanqi Li , Zhen Zhang , Jiaye Teng

Conformal Prediction (CP) controls the prediction uncertainty of classification systems by producing a small prediction set, ensuring a predetermined probability that the true class lies within this set. This is commonly done by defining a…

Machine Learning · Computer Science 2025-08-14 Coby Penso , Jacob Goldberger , Ethan Fetaya

Calibrated probability outputs of trained classifiers are increasingly used as inputs to downstream regression estimands such as effects, prevalences, or disparities for a latent group observed only on a small labelled subset. A standard…

Methodology · Statistics 2026-05-14 Marcell T. Kurbucz

Conformal Prediction (CP) provides a statistical framework for uncertainty quantification that constructs prediction sets with coverage guarantees. While CP yields uncontrolled prediction set sizes, Backward Conformal Prediction (BCP)…

Machine Learning · Statistics 2026-05-19 Junxian Liu , Hao Zeng , Hongxin Wei

Conformal prediction (CP) offers a principled framework for uncertainty quantification, but it fails to guarantee coverage when faced with missing covariates. In addressing the heterogeneity induced by various missing patterns,…

Machine Learning · Statistics 2025-12-17 Jiarong Fan , Juhyun Park. Thi Phuong Thuy Vo , Nicolas Brunel

When one observes a sequence of variables $(x_1, y_1), \ldots, (x_n, y_n)$, Conformal Prediction (CP) is a methodology that allows to estimate a confidence set for $y_{n+1}$ given $x_{n+1}$ by merely assuming that the distribution of the…

Machine Learning · Statistics 2022-12-08 Eugene Ndiaye

In high-stakes scenarios, such as medical imaging applications, it is critical to equip the predictions of a regression model with reliable confidence intervals. Recently, Conformal Prediction (CP) has emerged as a powerful statistical…

Machine Learning · Computer Science 2025-09-19 Yahav Cohen , Jacob Goldberger , Tom Tirer

Conformal prediction (CP) provides sets of candidate classes with a guaranteed probability of containing the true class. However, it typically relies on a calibration set with clean labels. We address privacy-sensitive scenarios where the…

Machine Learning · Computer Science 2025-12-08 Coby Penso , Bar Mahpud , Jacob Goldberger , Or Sheffet

Traditional conformal prediction methods construct prediction sets such that the true label falls within the set with a user-specified coverage level. However, poorly chosen coverage levels can result in uninformative predictions, either…

Machine Learning · Statistics 2026-04-03 Etienne Gauthier , Francis Bach , Michael I. Jordan

Deploying trustworthy AI systems requires principled uncertainty quantification. Conformal prediction (CP) is a widely used framework for constructing prediction sets with distribution-free coverage guarantees. In many practical settings,…

Machine Learning · Computer Science 2026-03-18 Haifeng Wen , Osvaldo Simeone , Hong Xing

Continual Test-Time Adaptation (CTTA) aims to adapt models to sequentially changing domains during testing, relying on pseudo-labels for self-adaptation. However, incorrect pseudo-labels can accumulate, leading to performance degradation.…

Machine Learning · Computer Science 2025-02-06 Fan Lyu , Hanyu Zhao , Ziqi Shi , Ye Liu , Fuyuan Hu , Zhang Zhang , Liang Wang

Recently there has been a surge of interest to deploy confidence set predictions rather than point predictions in machine learning. Unfortunately, the effectiveness of such prediction sets is frequently impaired by distribution shifts in…

Machine Learning · Computer Science 2025-08-14 Kevin Kasa , Zhiyu Zhang , Heng Yang , Graham W. Taylor

Prediction sets capture uncertainty by predicting sets of labels rather than individual labels, enabling downstream decisions to conservatively account for all plausible outcomes. Conformal inference algorithms construct prediction sets…

Machine Learning · Statistics 2023-10-20 Wenwen Si , Sangdon Park , Insup Lee , Edgar Dobriban , Osbert Bastani

Conformal prediction is often calibrated with a single pooled threshold, but this can hide cross-group heterogeneity in score distributions and distort group-wise coverage. We study this phenomenon through the population score distributions…

Machine Learning · Statistics 2026-05-18 Ziang Gao , Pengqi Liu , Archer Yi Yang , Mouloud Belbahri , Jesse C. Cresswell , Masoud Asgharian

Uncertainty quantification is essential in decision-making, especially when joint distributions of random variables are involved. While conformal prediction provides distribution-free prediction sets with valid coverage guarantees, it…

Machine Learning · Computer Science 2025-01-03 Rui Luo , Zhixin Zhou

Conformal prediction has emerged as an effective strategy for uncertainty quantification by modifying a model to output sets of labels instead of a single label. These prediction sets come with the guarantee that they contain the true label…

Machine Learning · Computer Science 2025-05-28 Haosen Ge , Hamsa Bastani , Osbert Bastani

In unsupervised adaptation for vision-language models such as CLIP, pseudo-labels derived from zero-shot predictions often exhibit significant noise, particularly under domain shifts or in visually complex scenarios. Conventional…

Machine Learning · Computer Science 2025-07-31 Eman Ali , Chetan Arora , Muhammad Haris Khan

Conformal Prediction (CP) is a popular method for uncertainty quantification that converts a pretrained model's point prediction into a prediction set, with the set size reflecting the model's confidence. Although existing CP methods are…

Machine Learning · Computer Science 2025-08-18 Shuqi Liu , Jianguo Huang , Luke Ong

We develop a new method for generating prediction sets that combines the flexibility of conformal methods with an estimate of the conditional distribution $P_{Y \mid X}$. Existing methods, such as conformalized quantile regression and…

Machine Learning · Statistics 2024-10-10 Vincent Plassier , Alexander Fishkov , Mohsen Guizani , Maxim Panov , Eric Moulines