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Semantic segmentation networks (SSNs) are central to safety-critical applications such as medical imaging and autonomous driving, where robustness under uncertainty is essential. However, existing probabilistic verification methods often…

计算机视觉与模式识别 · 计算机科学 2025-11-18 Navid Hashemi , Samuel Sasaki , Diego Manzanas Lopez , Lars Lindemann , Ipek Oguz , Meiyi Ma , Taylor T. Johnson

Methods to quantify uncertainty in predictions from arbitrary models are in demand in high-stakes domains like medicine and finance. Conformal prediction has emerged as a popular method for producing a set of predictions with specified…

机器学习 · 计算机科学 2025-03-19 Jessica Hullman , Yifan Wu , Dawei Xie , Ziyang Guo , Andrew Gelman

Functional Data Analysis represents a field of growing interest in statistics. Despite several studies have been proposed leading to fundamental results, the problem of obtaining valid and efficient prediction sets has not been thoroughly…

统计方法学 · 统计学 2021-04-13 Jacopo Diquigiovanni , Matteo Fontana , Simone Vantini

We develop a fast and accurate grouped penalized credible region approach for variable selection and prediction in Bayesian high-dimensional linear regression. Most existing Bayesian methods either are subject to high computational costs…

统计方法学 · 统计学 2026-01-26 Weichang Yu , Khue-Dung Dang

Conformal prediction is a powerful framework for constructing prediction sets with valid coverage guarantees in multi-class classification. However, existing methods often rely on a single score function, which can limit their efficiency…

机器学习 · 统计学 2025-03-05 Rui Luo , Zhixin Zhou

Distribution-free uncertainty estimation for ensemble methods is increasingly desirable due to the widening deployment of multi-modal black-box predictive models. Conformal prediction is one approach that avoids such distributional…

统计方法学 · 统计学 2025-05-26 Eduardo Ochoa Rivera , Yash Patel , Ambuj Tewari

This letter studies a distribution-free, finite-sample data perturbation (DP) method, the Residual-Permuted Sums (RPS), which is an alternative of the Sign-Perturbed Sums (SPS) algorithm, to construct confidence regions. While SPS assumes…

系统与控制 · 电气工程与系统科学 2024-06-11 Szabolcs Szentpéteri , Balázs Csanád Csáji

Bayesian inference provides principled uncertainty quantification, but accurate posterior sampling with MCMC can be computationally prohibitive for modern applications. Variational inference (VI) offers a scalable alternative and often…

统计方法学 · 统计学 2026-05-14 Laura Battaglia , Stefano Cortinovis , Chris Holmes , David T. Frazier , Jack Jewson

Many segmentation tasks, such as medical image segmentation or future state prediction, are inherently ambiguous, meaning that multiple predictions are equally correct. Current methods typically rely on generative models to capture this…

计算机视觉与模式识别 · 计算机科学 2026-03-23 Sebastian Gerard , Josephine Sullivan

Probabilistic Regression refers to predicting a full probability density function for the target conditional on the features. We present a nonparametric approach to this problem which combines base classifiers (typically gradient boosted…

机器学习 · 计算机科学 2022-10-31 Brian Lucena

This paper focuses on the problem of determining as large a region as possible where a function exceeds a given threshold with high probability. We assume that we only have access to a noise-corrupted version of the function and that…

机器学习 · 统计学 2018-11-27 Andrea Zanette , Junzi Zhang , Mykel J. Kochenderfer

Conformal prediction provides a principled framework for uncertainty quantification with finite-sample coverage guarantees. While recent work has extended conformal prediction to online and sequential settings, existing methods typically…

机器学习 · 统计学 2026-05-14 Eduardo Ochoa Rivera , Ambuj Tewari

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…

统计方法学 · 统计学 2026-03-12 Han Lin Shang

This paper presents a new conformal method for generating simultaneous forecasting bands guaranteed to cover the entire path of a new random trajectory with sufficiently high probability. Prompted by the need for dependable uncertainty…

机器学习 · 统计学 2024-05-16 Yanfei Zhou , Lars Lindemann , Matteo Sesia

Conformal predictors, introduced by Vovk et al. (2005), serve to build prediction intervals by exploiting a notion of conformity of the new data point with previously observed data. In the present paper, we propose a novel method for…

统计理论 · 数学 2009-02-12 Mohamed Hebiri

We propose a generalization of the recently developed system identification method called Sign-Perturbed Sums (SPS). The proposed construction is based on the instrumental variables estimate and, unlike the original SPS, it can construct…

统计方法学 · 统计学 2015-09-17 Valerio Volpe , Balázs Cs. Csáji , Algo Carè , Erik Weyer , Marco C. Campi

The focus of this paper is on the quantification of sampling variation in frequentist probabilistic forecasts. We propose a method of constructing confidence sets that respects the functional nature of the forecast distribution, and use…

统计方法学 · 统计学 2017-08-09 David Harris , Gael M. Martin , Indeewara Perera , D. S. Poskitt

Geographical data are generally autocorrelated. In this case, it is preferable to select spread units. In this paper, we propose a new method for selecting well-spread samples from a finite spatial population with equal or unequal inclusion…

统计方法学 · 统计学 2020-08-11 Raphaël Jauslin , Yves Tillé

Self-supervised contrastive learning has predominantly adopted deterministic methods, which are not suited for environments characterized by uncertainty and noise. This paper introduces a new perspective on incorporating uncertainty into…

Conformal predictions make it possible to define reliable and robust learning algorithms. But they are essentially a method for evaluating whether an algorithm is good enough to be used in practice. To define a reliable learning framework…