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We propose a framework for general Bayesian inference. We argue that a valid update of a prior belief distribution to a posterior can be made for parameters which are connected to observations through a loss function rather than the…

统计理论 · 数学 2016-02-29 Pier Giovanni Bissiri , Chris Holmes , Stephen Walker

Probabilistic programs are a powerful and convenient approach to formalise distributions over system executions. A classical verification problem for probabilistic programs is temporal inference: to compute the likelihood that the execution…

计算机科学中的逻辑 · 计算机科学 2025-02-21 Kazuki Watanabe , Sebastian Junges , Jurriaan Rot , Ichiro Hasuo

We introduce a unified framework for random forest prediction error estimation based on a novel estimator of the conditional prediction error distribution function. Our framework enables simple plug-in estimation of key prediction…

机器学习 · 统计学 2021-03-04 Benjamin Lu , Johanna Hardin

We present a toolbox of new techniques and concepts for the efficient forecasting of experimental sensitivities. These are applicable to a large range of scenarios in (astro-)particle physics, and based on the Fisher information formalism.…

天体物理仪器与方法 · 物理学 2018-02-28 Thomas D. P. Edwards , Christoph Weniger

Statistical models incorporating change points are common in practice, especially in the area of biomedicine. This approach is appealing in that a specific parameter is introduced to account for the abrupt change in the response variable…

统计理论 · 数学 2008-12-18 Hongling Zhou , Kung-Yee Liang

We study policy evaluation of offline contextual bandits subject to unobserved confounders. Sensitivity analysis methods are commonly used to estimate the policy value under the worst-case confounding over a given uncertainty set. However,…

机器学习 · 统计学 2026-01-13 Kei Ishikawa , Niao He , Takafumi Kanamori

We establish a general framework for statistical inferences with non-probability survey samples when relevant auxiliary information is available from a probability survey sample. We develop a rigorous procedure for estimating the propensity…

统计方法学 · 统计学 2018-05-17 Yilin Chen , Pengfei Li , Changbao Wu

We consider the estimation of average treatment effects in observational studies and propose a new framework of robust causal inference with unobserved confounders. Our approach is based on distributionally robust optimization and proceeds…

统计方法学 · 统计学 2023-02-06 Dimitris Bertsimas , Kosuke Imai , Michael Lingzhi Li

Calibration of large-scale differential equation models to observational or experimental data is a widespread challenge throughout applied sciences and engineering. A crucial bottleneck in state-of-the art calibration methods is the…

最优化与控制 · 数学 2021-02-23 Jon Cockayne , Andrew B. Duncan

Model-form uncertainty (MFU) in assumptions made during physics-based model development is widely considered a significant source of uncertainty; however, there are limited approaches that can quantify MFU in predictions extrapolating…

计算工程、金融与科学 · 计算机科学 2025-09-16 Teresa Portone , Rebekah D. White , Joseph L. Hart

Bayesian inference can often be sensitive to the choice of hyperparameters of the prior or likelihood, yet defining and quantifying this sensitivity in a principled and computationally feasible way remains challenging in practice.…

统计方法学 · 统计学 2026-05-28 Arina Odnoblyudova , Charita Dellaporta , François-Xavier Briol

A wide array of graphical models can be parametrised to have atomic probabilities represented by monomial functions. Such monomial structure has proven very useful when studying robustness under the assumption of a multilinear model where…

统计理论 · 数学 2019-01-09 Manuele Leonelli

When eliciting probability models from experts, knowledge engineers may compare the results of the model with expert judgment on test scenarios, then adjust model parameters to bring the behavior of the model more in line with the expert's…

人工智能 · 计算机科学 2013-03-08 Kathryn Blackmond Laskey

We investigate a data-driven approach to constructing uncertainty sets for robust optimization problems, where the uncertain problem parameters are modeled as random variables whose joint probability distribution is not known. Relying only…

最优化与控制 · 数学 2020-09-22 Polina Alexeenko , Eilyan Bitar

Traditionally, the sensitivity analysis of a Bayesian network studies the impact of individually modifying the entries of its conditional probability tables in a one-at-a-time (OAT) fashion. However, this approach fails to give a…

人工智能 · 计算机科学 2024-06-11 Rafael Ballester-Ripoll , Manuele Leonelli

Some classical uncertainty quantification problems require the estimation of multiple expectations. Estimating all of them accurately is crucial and can have a major impact on the analysis to perform, and standard existing Monte Carlo…

统计方法学 · 统计学 2022-12-02 Julien Demange-Chryst , François Bachoc , Jérôme Morio

The infinite-dimensional information operator for the nuisance parameter plays a key role in semiparametric inference, as it is closely related to the regular estimability of the target parameter. Calculation of information operators has…

统计理论 · 数学 2018-10-16 Lu Mao

Parametric statistical methods play a central role in analyzing risk through its underlying frequency and severity components. Given the wide availability of numerical algorithms and high-speed computers, researchers and practitioners often…

应用统计 · 统计学 2025-06-17 Michael R. Powers , Jiaxin Xu

Verification, validation and uncertainty quantification (VVUQ) have become a common practice in thermal-hydraulics analysis. An important step in the uncertainty analysis is the sensitivity analysis of various uncertain input parameters.…

计算物理 · 物理学 2018-05-04 Guojun Hu , Tomasz Kozlowski

In a statistical analysis in Particle Physics, nuisance parameters can be introduced to take into account various types of systematic uncertainties. The best estimate of such a parameter is often modeled as a Gaussian distributed variable…

数据分析、统计与概率 · 物理学 2019-02-25 Glen Cowan