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We consider the problem of parameterizing Newman-type models of Li-ion batteries focusing on quantifying the inherent uncertainty of this process and its dependence on the discharge rate. In order to rule out genuine experimental error and…

Computational Physics · Physics 2021-04-14 Jose Morales Escalante , Smita Sahu , Jamie M. Foster , Bartosz Protas

Systemic risk measures were introduced to capture the global risk and the corresponding contagion effects that is generated by an interconnected system of financial institutions. To this purpose, two approaches were suggested. In the first…

Optimization and Control · Mathematics 2024-02-23 Sarah Kaakai , Anis Matoussi , Achraf Tamtalini

Roughness parameters that characterize contacting surfaces with regard to friction and wear are commonly stated without uncertainties, or with an uncertainty only taking into account a very limited amount of aspects such as repeatability of…

Data Analysis, Statistics and Probability · Physics 2016-07-20 Dorothee Hüser , Jonathan Hüser , Sebastian Rief , Jörg Seewig , Peter Thomsen-Schmidt

We consider a risk-averse stochastic capacity planning problem under uncertain demand in each period. Using a scenario tree representation of the uncertainty, we formulate a multistage stochastic integer program to adjust the capacity…

Optimization and Control · Mathematics 2024-11-05 Xian Yu , Siqian Shen

To improve the predictive capacity of system models in the input-output sense, this paper presents a framework for model updating via learning of modeling uncertainties in locally (and thus also in globally) Lipschitz nonlinear systems.…

Systems and Control · Electrical Eng. & Systems 2024-06-11 Farhad Ghanipoor , Carlos Murguia , Peyman Mohajerin Esfahani , Nathan van de Wouw

Practitioners making decisions based on causal effects typically ignore structural uncertainty. We analyze when this uncertainty is consequential enough to warrant methodological solutions (Bayesian model averaging over competing causal…

Machine Learning · Computer Science 2025-08-01 Maurits Kaptein

Fitting models with high predictive accuracy that include all relevant but no irrelevant or redundant features is a challenging task on data sets with similar (e.g. highly correlated) features. We propose the approach of tuning the…

Machine Learning · Statistics 2022-03-23 Andrea Bommert , Jörg Rahnenführer , Michel Lang

There is a fundamental disconnect between what is tested in a model adequacy test, and what we would like to test. The usual approach is to test the null hypothesis "Model M is the true model." However, Model M is never the true model. A…

Methodology · Statistics 2016-08-23 Toby Kenney , Hong Gu

Clinical prediction models are increasingly used to support patient care, yet many deep learning-based approaches remain unstable, as their predictions can vary substantially when trained on different samples from the same population. Such…

Machine Learning · Computer Science 2026-02-13 Sara Matijevic , Christopher Yau

The optimization of large portfolios displays an inherent instability to estimation error. This poses a fundamental problem, because solutions that are not stable under sample fluctuations may look optimal for a given sample, but are, in…

Portfolio Management · Quantitative Finance 2015-05-14 Susanne Still , Imre Kondor

In a capital adequacy framework, risk measures are used to determine the minimal amount of capital that a financial institution has to raise and invest in a portfolio of pre-specified eligible assets in order to pass a given capital…

Optimization and Control · Mathematics 2018-01-03 Michel Baes , Pablo Koch-Medina , Cosimo Munari

The main goal of this paper is an application of Bayesian inference in testing the relation between risk and return on the financial instruments. On the basis of the Intertemporal CAPM model we built a general sampling model suitable in…

Applications · Statistics 2008-10-06 Mateusz Pipien

Non-probabilistic convex model utilizes a convex set to quantify the uncertainty domain of uncertain-but-bounded parameters, which is very effective for structural uncertainty analysis with limited or poor-quality experimental data. To…

Other Statistics · Statistics 2018-01-18 Ni Bingyu , Jiang Chao , Huang Zhiliang

This article concerns the application of bootstrap methodology to construct a likelihood-based confidence region for operating conditions associated with the maximum of a response surface constrained to a specified region. Unlike classical…

Methodology · Statistics 2007-11-14 Roger D. Gibb , I-Li Lu , Walter H. Carter

Modern autonomous systems with machine learning components often use uncertainty quantification to help produce assurances about system operation. However, there is a lack of consensus in the community on what uncertainty is and how to…

Systems and Control · Electrical Eng. & Systems 2026-01-27 Sampada Deglurkar , Haotian Shen , Anish Muthali , Marco Pavone , Dragos Margineantu , Peter Karkus , Boris Ivanovic , Claire J. Tomlin

Subjective judgements from experts provide essential information when assessing and modelling threats in respect to cyber-physical systems. For example, the vulnerability of individual system components can be described using multiple…

Cryptography and Security · Computer Science 2019-10-03 Zack Ellerby , Josie McCulloch , Melanie Wilson , Christian Wagner

Complex systems are sometimes subject to non Gaussian alpha stable Levy fluctuations. A new method is devised to estimate this uncertain parameter and other system parameters, using observations on either mean exit time or escape…

Dynamical Systems · Mathematics 2013-06-04 Ting Gao , Jinqiao Duan

In healthcare applications, predictive uncertainty has been used to assess predictive accuracy. In this paper, we demonstrate that predictive uncertainty estimated by the current methods does not highly correlate with prediction error by…

Machine Learning · Computer Science 2021-07-08 Shi Hu , Nicola Pezzotti , Max Welling

Obtaining accurate estimates of machine learning model uncertainties on newly predicted data is essential for understanding the accuracy of the model and whether its predictions can be trusted. A common approach to such uncertainty…

We consider a class of semiparametric regression models which are one-parameter extensions of the Cox [J. Roy. Statist. Soc. Ser. B 34 (1972) 187-220] model for right-censored univariate failure times. These models assume that the hazard…

Statistics Theory · Mathematics 2007-06-13 Michael R. Kosorok , Bee Leng Lee , Jason P. Fine
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