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The increasing interest in spatially correlated functional data has led to the development of appropriate geostatistical techniques that allow to predict a curve at an unmonitored location using a functional kriging with external drift…

统计方法学 · 统计学 2017-06-23 Maria Franco-Villoria , Rosaria Ignaccolo

Conformal prediction is a distribution-free and model-agnostic uncertainty-quantification method that provides finite-sample prediction intervals with guaranteed coverage. In this work, for the first time, we apply conformal-prediction to…

核理论 · 物理学 2026-02-02 Habib Yousefi Dezdarani , Ryan Curry , Alexandros Gezerlis

Conformal predictive systems are a recent modification of conformal predictors that output, in regression problems, probability distributions for labels of test observations rather than set predictions. The extra information provided by…

机器学习 · 计算机科学 2019-11-05 Vladimir Vovk , Ivan Petej , Ilia Nouretdinov , Valery Manokhin , Alex Gammerman

For estimation and predictions of random fields it is increasingly acknowledged that the kriging variance may be a poor representative of true uncertainty. Experimental designs based on more elaborate criteria that are appropriate for…

统计方法学 · 统计学 2013-05-15 Werner G. Müller , Luc Pronzato , Joao Rendas , Helmut Waldl

Kriging is the predominant method used for spatial prediction, but relies on the assumption that predictions are linear combinations of the observations. Kriging often also relies on additional assumptions such as normality and…

机器学习 · 统计学 2019-03-29 Haoyu Wang , Yawen Guan , Brian J Reich

Kriging is a widely employed technique, in particular for computer experiments, in machine learning or in geostatistics. An important challenge for Kriging is the computational burden when the data set is large. This article focuses on a…

统计理论 · 数学 2021-03-01 François Bachoc , Nicolas Durrande , Didier Rullière , Clément Chevalier

Conformal methods provide prediction sets for outcomes with confidence guarantees. We study their use in a selective inference setting, where inference is performed only when the prediction set is informative. The analyst may consider as…

统计方法学 · 统计学 2026-05-22 Israela Solomon , Etienne Roquain , Saharon Rosset , Ruth Heller

In this paper, we further investigate the problem of selecting a set of design points for universal kriging, which is a widely used technique for spatial data analysis. Our goal is to select the design points in order to make simultaneous…

统计方法学 · 统计学 2024-01-18 Helmut Waldl , Werner G. Müller , Paula Camelia Trandafir

Conformal prediction is a learning framework controlling prediction coverage of prediction sets, which can be built on any learning algorithm for point prediction. This work proposes a learning framework named conformal loss-controlling…

机器学习 · 计算机科学 2024-01-24 Di Wang , Ping Wang , Zhong Ji , Xiaojun Yang , Hongyue Li

In this work we provide a review of basic ideas and novel developments about Conformal Prediction -- an innovative distribution-free, non-parametric forecasting method, based on minimal assumptions -- that is able to yield in a very…

机器学习 · 计算机科学 2024-02-01 Matteo Fontana , Gianluca Zeni , Simone Vantini

As a natural extension to the standard conformal prediction method, several conformal risk control methods have been recently developed and applied to various learning problems. In this work, we seek to control the conformal risk in…

机器学习 · 计算机科学 2024-05-02 Yunpeng Xu , Wenge Guo , Zhi Wei

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,…

统计方法学 · 统计学 2022-06-30 Paolo Vergottini , Matteo Fontana , Jacopo Diquigiovanni , Aldo Solari , Simone Vantini

Conformal prediction is a non-parametric technique for constructing prediction intervals or sets from arbitrary predictive models under the assumption that the data is exchangeable. It is popular as it comes with theoretical guarantees on…

机器学习 · 统计学 2025-12-01 Jase Clarkson , Wenkai Xu , Mihai Cucuringu , Yvik Swan , Gesine Reinert

Conformal prediction provides a distribution-free framework for uncertainty quantification via prediction sets with exact finite-sample coverage. In low dimensions these sets are easy to interpret, but in high-dimensional or structured…

机器学习 · 统计学 2026-05-08 Trevor Harris

Often we wish to predict a large number of variables that depend on each other as well as on other observed variables. Structured prediction methods are essentially a combination of classification and graphical modeling, combining the…

机器学习 · 统计学 2010-11-19 Charles Sutton , Andrew McCallum

The field of distribution-free predictive inference provides tools for provably valid prediction without any assumptions on the distribution of the data, which can be paired with any regression algorithm to provide accurate and reliable…

统计理论 · 数学 2023-01-19 Michael Bian , Rina Foygel Barber

The existing fractional grey prediction models mainly use discrete fractional-order difference and accumulation, but in the actual modeling, continuous fractional-order calculus has been proved to have many excellent properties, such as…

综合数学 · 数学 2020-10-28 Wanli Xie , Caixia Liu , Weidong Li , Wenze Wu , Chong Liu

We develop an online learning method for prediction, which is important in problems with large and/or streaming data sets. We formulate the learning approach using a covariance-fitting methodology, and show that the resulting predictor has…

机器学习 · 计算机科学 2017-03-16 Dave Zachariah , Petre Stoica , Thomas B. Schön

In demographic literature, forecast uncertainty is often quantified with a statistical model. This model-based approach may potentially suffer from drawbacks, namely model misspecification, selection effect, and lack of finite-sample…

应用统计 · 统计学 2026-05-29 Han Lin Shang

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…

计算机视觉与模式识别 · 计算机科学 2025-03-10 Luca Mossina , Corentin Friedrich