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This article introduces methods for constructing prediction bounds or intervals for the number of future failures from heterogeneous reliability field data. We focus on within-sample prediction where early data from a failure-time process…

统计方法学 · 统计学 2021-04-13 Colin Lewis-Beck , Qinglong Tian , William Q. Meeker

Statistical inference of the high-dimensional regression coefficients is challenging because the uncertainty introduced by the model selection procedure is hard to account for. A critical question remains unsettled; that is, is it possible…

统计方法学 · 统计学 2025-01-06 Xiaorui Zhu , Yichen Qin , Peng Wang

By treating intervals as inseparable sets, this paper proposes sparse machine learning regressions for high-dimensional interval-valued time series. With LASSO or adaptive LASSO techniques, we develop a penalized minimum distance…

计量经济学 · 经济学 2024-11-15 Haowen Bao , Yongmiao Hong , Yuying Sun , Shouyang Wang

Predictive uncertainty estimation is an essential next step for the reliable deployment of deep object detectors in safety-critical tasks. In this work, we focus on estimating predictive distributions for bounding box regression output with…

计算机视觉与模式识别 · 计算机科学 2021-03-15 Ali Harakeh , Steven L. Waslander

Performance estimation aims at estimating the loss that a predictive model will incur on unseen data. These procedures are part of the pipeline in every machine learning project and are used for assessing the overall generalisation ability…

机器学习 · 计算机科学 2021-08-31 Vitor Cerqueira , Luis Torgo , Igor Mozetic

We present a novel approach for training deep neural networks in a Bayesian way. Classical, i.e. non-Bayesian, deep learning has two major drawbacks both originating from the fact that network parameters are considered to be deterministic.…

机器学习 · 统计学 2019-03-11 Konstantin Posch , Jan Steinbrener , Jürgen Pilz

When outcome data are expensive or onerous to collect, scientists increasingly substitute predictions from machine learning and AI models for unlabeled cases, a process which has consequences for downstream statistical inference. While…

机器学习 · 统计学 2026-03-13 Stephen Salerno , Zhenke Wu , Tyler McCormick

The exponential growth of volume, variety and velocity of data is raising the need for investigations of automated or semi-automated ways to extract useful patterns from the data. It requires deep expert knowledge and extensive…

机器学习 · 计算机科学 2020-07-22 Abbas Raza Ali , Marcin Budka , Bogdan Gabrys

Improving the robustness of neural nets in regression tasks is key to their application in multiple domains. Deep learning-based approaches aim to achieve this goal either by improving their prediction of specific values (i.e., point…

机器学习 · 计算机科学 2021-06-22 Eli Simhayev , Gilad Katz , Lior Rokach

In this paper, we present a new explainability formalism designed to shed light on how each input variable of a test set impacts the predictions of machine learning models. Hence, we propose a group explainability formalism for trained…

机器学习 · 统计学 2022-08-12 François Bachoc , Fabrice Gamboa , Max Halford , Jean-Michel Loubes , Laurent Risser

Time series prediction is often complicated by distribution shift which demands adaptive models to accommodate time-varying distributions. We frame time series prediction under distribution shift as a weighted empirical risk minimisation…

机器学习 · 计算机科学 2022-07-26 Stefanos Bennett , Jase Clarkson

Accurate quantification of model uncertainty has long been recognized as a fundamental requirement for trusted AI. In regression tasks, uncertainty is typically quantified using prediction intervals calibrated to a specific operating point,…

机器学习 · 计算机科学 2021-06-03 Jiri Navratil , Benjamin Elder , Matthew Arnold , Soumya Ghosh , Prasanna Sattigeri

We develop a novel method for counterfactual analysis based on observational data using prediction intervals for units under different exposures. Unlike methods that target heterogeneous or conditional average treatment effects of an…

统计理论 · 数学 2018-07-18 Dave Zachariah , Petre Stoica

This paper presents a backfitting-type method for estimating and forecasting a periodically correlated partially linear model with exogeneous variables and heteroskedastic input noise. A rate of convergence of the estimator is given. The…

统计理论 · 数学 2011-02-23 Xavier Brossat , Georges Oppenheim , Marie-Claude Viano

The evaluation of supervised machine learning models is a critical stage in the development of reliable predictive systems. Despite the widespread availability of machine learning libraries and automated workflows, model assessment is often…

机器学习 · 计算机科学 2026-04-16 Xuanyan Liu , Ignacio Cabrera Martin , Marcello Trovati , Xiaolong Xu , Nikolaos Polatidis

Conformal inference, cross-validation+, and the jackknife+ are hold-out methods that can be combined with virtually any machine learning algorithm to construct prediction sets with guaranteed marginal coverage. In this paper, we develop…

统计方法学 · 统计学 2021-02-24 Yaniv Romano , Matteo Sesia , Emmanuel J. Candès

Researchers in explainable artificial intelligence have developed numerous methods for helping users understand the predictions of complex supervised learning models. By contrast, explaining the $\textit{uncertainty}$ of model outputs has…

机器学习 · 统计学 2023-11-01 David S. Watson , Joshua O'Hara , Niek Tax , Richard Mudd , Ido Guy

Prediction, where observed data is used to quantify uncertainty about a future observation, is a fundamental problem in statistics. Prediction sets with coverage probability guarantees are a common solution, but these do not provide…

统计理论 · 数学 2022-11-22 Leonardo Cella , Ryan Martin

Bayesian inference allows machine learning models to express uncertainty. Current machine learning models use only a single learnable parameter combination when making predictions, and as a result are highly overconfident when their…

机器学习 · 计算机科学 2022-02-23 Andrew Wood , Moshik Hershcovitch , Daniel Waddington , Sarel Cohen , Peter Chin

A variety of methods have been proposed for inference about extreme dependence for multivariate or spatially-indexed stochastic processes and time series. Most of these proceed by first transforming data to some specific extreme value…

统计理论 · 数学 2018-05-22 James E. Johndrow , Robert L. Wolpert