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We present a technique to perform dimensionality reduction on data that is subject to uncertainty. Our method is a generalization of traditional principal component analysis (PCA) to multivariate probability distributions. In comparison to…

Machine Learning · Computer Science 2019-10-14 Jochen Görtler , Thilo Spinner , Dirk Streeb , Daniel Weiskopf , Oliver Deussen

In causal inference, sensitivity analysis is important to assess the robustness of study conclusions to key assumptions. We perform sensitivity analysis of the assumption that missing outcomes are missing completely at random. We follow a…

Statistics Theory · Mathematics 2023-05-12 Bart Eggen , Stéphanie L. van der Pas , Aad W. van der Vaart

We propose and discuss sensitivity metrics for reliability analysis, which are based on the value of information. These metrics are easier to interpret than other existing sensitivity metrics in the context of a specific decision and they…

Optimization and Control · Mathematics 2021-12-03 Daniel Straub , Max Ehre , Iason Papaioannou

In its quest for approaches to taming uncertainty in self-adaptive systems (SAS), the research community has largely focused on solutions that adapt the SAS architecture or behaviour in response to uncertainty. By comparison, solutions that…

Software Engineering · Computer Science 2024-02-02 Marc Carwehl , Calum Imrie , Thomas Vogel , Genaína Rodrigues , Radu Calinescu , Lars Grunske

When using multiple imputation (MI) for missing data, maintaining compatibility between the imputation model and substantive analysis is important for avoiding bias. For example, some causal inference methods incorporate an outcome model…

We consider the estimation of measures of model performance in a target population when covariate and outcome data are available on a sample from some source population and covariate data, but not outcome data, are available on a simple…

Methodology · Statistics 2023-06-16 Jon A. Steingrimsson , Sarah E. Robertson , Issa J. Dahabreh

Much of uncertainty quantification to date has focused on determining the effect of variables modeled probabilistically, and with a known distribution, on some physical or engineering system. We develop methods to obtain information on the…

Numerical Analysis · Mathematics 2015-03-19 Kamaljit Chowdhary , Paul Dupuis

Noise is an unavoidable part of most measurements which can hinder a correct interpretation of the data. Uncertainties propagate in the data analysis and can lead to biased results even in basic descriptive statistics such as the central…

Instrumentation and Methods for Astrophysics · Physics 2023-11-27 Lorenzo Rimoldini

Classifiers are often tested on relatively small data sets, which should lead to uncertain performance metrics. Nevertheless, these metrics are usually taken at face value. We present an approach to quantify the uncertainty of…

Machine Learning · Statistics 2021-03-05 Niklas Tötsch , Daniel Hoffmann

Many safety failures in machine learning arise when models are used to assign predictions to people (often in settings like lending, hiring, or content moderation) without accounting for how individuals can change their inputs. In this…

Machine Learning · Computer Science 2025-07-04 Seung Hyun Cheon , Meredith Stewart , Bogdan Kulynych , Tsui-Wei Weng , Berk Ustun

Bayesian Model Calibration is used to revisit the problem of scaling factor calibration for semi-empirical correction of ab initio calculations. A particular attention is devoted to uncertainty evaluation for scaling factors, and to their…

Data Analysis, Statistics and Probability · Physics 2009-01-12 Pascal Pernot

Estimating the effects of continuous-valued interventions from observational data is a critically important task for climate science, healthcare, and economics. Recent work focuses on designing neural network architectures and…

Machine Learning · Computer Science 2022-10-13 Andrew Jesson , Alyson Douglas , Peter Manshausen , Maëlys Solal , Nicolai Meinshausen , Philip Stier , Yarin Gal , Uri Shalit

Large language models for subjectivity analysis are typically trained with aggregated labels, which compress variations in human judgment into a single supervision signal. This paradigm overlooks the intrinsic uncertainty of low-agreement…

Computation and Language · Computer Science 2026-05-14 Junyu Lu , Deyi Ji , Xuanyi Liu , Lanyun Zhu , Bo Xu , Liang Yang , Xian-Sheng Hua , Hongfei Lin

Inverse Uncertainty Quantification (UQ), or Bayesian calibration, is the process to quantify the uncertainties of random input parameters based on experimental data. The introduction of model discrepancy term is significant because…

Applications · Statistics 2019-07-24 Xu Wu , Koroush Shirvan , Tomasz Kozlowski

We present a general framework for uncertainty quantification that is a mosaic of interconnected models. We define global first and second order structural and correlative sensitivity analyses for random counting measures acting on risk…

Probability · Mathematics 2021-01-05 Caleb Deen Bastian , Herschel Rabitz

Both industry and academia have made considerable progress in developing trustworthy and responsible machine learning (ML) systems. While critical concepts like fairness and explainability are often addressed, the safety of systems is…

Machine Learning · Statistics 2022-11-08 Patrick Kaiser , Christoph Kern , David Rügamer

Model uncertainty is a crucial issue in statistics, econometrics and machine learning, yet its definition remains ambiguous and is subject to various interpretations in the literature. So far, there has not been a universally accepted…

Methodology · Statistics 2025-08-12 Guangyuan Cui , Yuting Wei , Xinyu Zhang

Conventional saliency maps highlight input features to which neural network predictions are highly sensitive. We take a different approach to saliency, in which we identify and analyze the network parameters, rather than inputs, which are…

Computer Vision and Pattern Recognition · Computer Science 2022-10-11 Roman Levin , Manli Shu , Eitan Borgnia , Furong Huang , Micah Goldblum , Tom Goldstein

Class distribution skews in imbalanced datasets may lead to models with prediction bias towards majority classes, making fair assessment of classifiers a challenging task. Metrics such as Balanced Accuracy are commonly used to evaluate a…

Accurately estimating uncertainties in neural network predictions is of great importance in building trusted DNNs-based models, and there is an increasing interest in providing accurate uncertainty estimation on many tasks, such as security…

Machine Learning · Computer Science 2020-07-14 Yukun Ding , Jinglan Liu , Jinjun Xiong , Yiyu Shi