Uncertainty Quantification

Uncertainty Quantification is a mathematical and computational framework that quantifies and propagates uncertainties inherent in model inputs, parameters, and structure through probabilistic and statistical methods to assess the confidence and reliability of computational predictions.

71.6K

Publications

4.3M

Citations

166.2K

Authors

13.2K

Institutions

Publications per year

2017–2026

23.1K

Variants

Parents

Computational Engineering

Children

Bayesian CalibrationBayesian InferenceData AssimilationDecision-making Under UncertaintyGaussian Process ModelingInverse ProblemsModel CalibrationModel ValidationMonte Carlo SimulationMultifidelity Uncertainty Quantification

Publications

71.6K

Random sample consensus

Martin A. Fischler, Robert C. Bolles · Communications of the ACM · 1981 · 25.5K citations · Full text

Computing, Computer Science, Computer Vision +13

Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information

Emmanuel J. Candès, Justin Romberg, Terence Tao · IEEE Transactions on Information Theory · 2006 · 15.8K citations

Natural Sciences, Electrical Engineering, Mathematics +16

Advances in prospect theory: Cumulative representation of uncertainty

Amos Tversky, Daniel Kahneman · Journal of Risk and Uncertainty · 1992 · 15.6K citations

Business, Decision Sciences, Behavioral Economics +13

Investment Under Uncertainty.

Eduardo S. Schwartz, Avinash Dixit, Robert S. Pindyck · The Journal of Finance · 1994 · 9.9K citations

Business, Business Economics, Economics +16

Describing the uncertainties in experimental results

R. J. Moffat · Experimental Thermal and Fluid Science · 1988 · 9.6K citations

Computing, Data Science, Experimental Design +16

1–5 of 71.6K

Authors

166.2K

SM
Sankaran Mahadevan
Vanderbilt University, United States
137 publications · 9.7K citations
52
h-index
KB
Keith Beven
Lancaster University, United Kingdom
84 publications · 11.5K citations
51
h-index
GH
Guohe Huang
University of Regina, Canada
177 publications · 8.2K citations
48
h-index
EZ
Enrico Zio
Politecnico di Milano, Italy
112 publications · 6.3K citations
47
h-index
YD
Yong Deng
University of Electronic Science and Technology of China, China
62 publications · 4.4K citations
42
h-index

1–5 of 166.2K

Institutions

13.2K

1–8 of 13.2K

Venues

IEEE Transactions on Automatic Control
683 publications · 74.5K citations
132
h-index
Water Resources Research
763 publications · 69.5K citations
131
h-index
IEEE Transactions on Power Systems
633 publications · 59.1K citations
128
h-index
Reliability Engineering & System Safety
961 publications · 69.7K citations
119
h-index
Journal of the American Statistical Association
411 publications · 50.5K citations
99
h-index

1–5

See also Uncertainty Quantification
Core Methods	Sensitivity Analysis Bayesian Inference Markov Chain Monte Carlo Monte Carlo Methods Gaussian Processes Bayesian Neural Networks Bootstrap Methods Surrogate Modeling Dimension Reduction Multifidelity Uncertainty Quantification Ensemble Modeling Perturbation Methods
Applications	Engineering Outlier Detection Failure Detection Active Learning Out-of-distribution Detection Safety-critical Decision Making
Evaluation	Brier Score Out-of-distribution Detection Calibration Uncertainty Analysis Expected Calibration Error Area Under The Receiver Operating Characteristic Curve Probabilistic Coverage Control Adaptivity
Variants	Uncertainty Quantification Bayesian Neural Networks Monte Carlo Dropout Deep Ensembles Multifidelity Uncertainty Quantification Simulation-based Inference Multifidelity Modeling
Limitations	Model Misspecification Uncertainty Quantification In Coupled Systems