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Conformal Prediction (CP) is a principled framework for quantifying uncertainty in blackbox learning models, by constructing prediction sets with finite-sample coverage guarantees. Traditional approaches rely on scalar nonconformity scores,…

Machine Learning · Statistics 2025-05-07 Gauthier Thurin , Kimia Nadjahi , Claire Boyer

We study distribution-free predictive inference for data with group symmetries, aiming to establish near-conditional coverage guarantees beyond exchangeability for structured data. While many predictive inference methods achieve a target…

Methodology · Statistics 2026-05-19 Yichen Shen , Mengxin Yu

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

Ensemble models can be used to estimate prediction uncertainties in machine learning models. However, an ensemble of N models is approximately N times more computationally demanding compared to a single model when it is used for inference.…

Machine Learning · Computer Science 2026-03-04 Vidit Agrawal , Shixin Zhang , Lane E. Schultz , Dane Morgan

Ensemble learning combines several individual models to obtain a better generalization performance. In this work we present a practical method for estimating the joint power of several classifiers. It differs from existing approaches which…

Artificial Intelligence · Computer Science 2023-12-22 Simi Haber , Yonatan Wexler

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

Bayesian optimization is a coherent, ubiquitous approach to decision-making under uncertainty, with applications including multi-arm bandits, active learning, and black-box optimization. Bayesian optimization selects decisions (i.e.…

Machine Learning · Computer Science 2023-12-13 Samuel Stanton , Wesley Maddox , Andrew Gordon Wilson

This paper proposes probabilistic conformal prediction (PCP), a predictive inference algorithm that estimates a target variable by a discontinuous predictive set. Given inputs, PCP construct the predictive set based on random samples from…

Machine Learning · Statistics 2022-06-22 Zhendong Wang , Ruijiang Gao , Mingzhang Yin , Mingyuan Zhou , David M. Blei

Neural weather models have shown immense potential as inexpensive and accurate alternatives to physics-based models. However, most models trained to perform weather forecasting do not quantify the uncertainty associated with their…

We propose a stochastic model predictive control (MPC) framework for linear systems subject to joint-in-time chance constraints under unknown disturbance distributions. Unlike existing approaches that rely on parametric or Gaussian…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Lukas Vogel , Andrea Carron , Eleftherios E. Vlahakis , Dimos V. Dimarogonas

Conformal prediction provides prediction sets with finite-sample marginal coverage, but many applications require coverage guarantees that adapt to individual test points, a subpopulation, or a structural component of the data. Existing…

Methodology · Statistics 2026-05-27 Yinjie Min , Liuhua Peng , Changliang Zou

This paper presents a novel probabilistic forecasting method called ensemble conformalized quantile regression (EnCQR). EnCQR constructs distribution-free and approximately marginally valid prediction intervals (PIs), which are suitable for…

Machine Learning · Computer Science 2022-11-08 Vilde Jensen , Filippo Maria Bianchi , Stian Norman Anfinsen

Building on top of a regression model, Conformal Prediction methods produce distribution free prediction sets, requiring only i.i.d. data. While R packages implementing such methods for the univariate response framework have been developed,…

Methodology · Statistics 2022-06-30 Paolo Vergottini , Matteo Fontana , Jacopo Diquigiovanni , Aldo Solari , Simone Vantini

Traditional statistical inference in cluster randomized trials typically invokes the asymptotic theory that requires the number of clusters to approach infinity. In this article, we propose an alternative conformal causal inference…

Methodology · Statistics 2024-10-03 Bingkai Wang , Fan Li , Mengxin Yu

The problem of combining individual forecasters to produce a forecaster with improved performance is considered. The connections between probability elicitation and classification are used to pose the combining forecaster problem as that of…

Methodology · Statistics 2017-07-11 Hamed Masnadi-Shirazi

The popularity of data augmentation techniques in machine learning has increased in recent years, as they enable the creation of new samples from existing datasets. Rotational augmentation, in particular, has shown great promise by…

Computer Vision and Pattern Recognition · Computer Science 2023-06-13 Unai Muñoz-Aseguinolaza , Basilio Sierra , Naiara Aginako

Gaussian processes provide a flexible framework for spatial prediction, but their computational cost limits applicability to large-scale data with large sample size $n$. Predictive processes (PPs), a popular low-rank approximation, mitigate…

Methodology · Statistics 2026-03-23 Nicolas Bianco , Nadja Klein

The goal of ensemble forecasting is to maximise sharpness subject to reliability. Marginal reliability means that, over all cases, the ensemble is statistically consistent with reality: the ensemble mean is unbiased, the expected ensemble…

Atmospheric and Oceanic Physics · Physics 2026-04-08 Jonas Spaeth , Christopher D. Roberts

An influential step in weather forecasting was the introduction of ensemble forecasts in operational use due to their capability to account for the uncertainties in the future state of the atmosphere. However, ensemble weather forecasts are…

Applications · Statistics 2023-05-25 Mária Lakatos , Sebastian Lerch , Stephan Hemri , Sándor Baran

Interest has been growing in decision-focused machine learning methods which train models to account for how their predictions are used in downstream optimization problems. Doing so can often improve performance on subsequent decision…

Machine Learning · Computer Science 2025-03-03 Santiago Cortes-Gomez , Carlos Patiño , Yewon Byun , Steven Wu , Eric Horvitz , Bryan Wilder
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