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Optimal uncertainty quantification for legacy data observations of Lipschitz functions
9 references·1 citing·40 second hop
Optimal uncertainty quantification for legacy data observations of Lipschitz functions (2013)Optimal uncertainty quantification for le…Optimal Uncertainty Quantification (2013)Optimal Uncertainty Quantific…Rigorous model-based uncertainty quantification with application to terminal ballistics, part I: Systems with controllable inputs and small scatter (2011)Rigorous model-based uncertai…Rigorous model-based uncertainty quantification with application to terminal ballistics—Part II. Systems with uncontrollable inputs and large scatter (2011)Rigorous model-based uncertai…Building a Framework for Predictive Science (2011)Building a Framework for Pred…A Complete Framework for Verification, Validation, and Uncertainty Quantification in Scientific Computing (Invited) (2010)A Complete Framework for Veri…Rigorous verification, validation, uncertainty quantification and certification through concentration-of-measure inequalities (2008)Rigorous verification, valida…Reliability of computational science (2007)Reliability of computational …Verification, validation, and predictive capability in computational engineering and physics (2004)Verification, validation, and…Challenge problems: uncertainty in system response given uncertain parameters (2004)Challenge problems: uncertain…Toward Machine Wald (2015)Toward Machine WaldEquilibrium points in n -person games (1950)Non-Cooperative Games (1951)Theory of games and economic behavior (2019)A Difficulty in the Concept of Social Welfare (1950)Manipulation of Voting Schemes: A General Result (1973)Strategy-proofness and Arrow's conditions: Existence and correspondence theorems for voting procedures and social welfare functions (1975)A distributionally robust perspective on uncertainty quantification and chance constrained programming (2015)Ambiguous Joint Chance Constraints Under Mean and Dispersion Information (2017)An Introduction to Stochastic Differential Equations (2013)Optimal uncertainty quantification with model uncertainty and legacy data (2014)Local maximum-entropy based surrogate model and its application to structural reliability analysis (2017)Hierarchical multiscale quantification of material uncertainty (2021)A mathematical theory of evidence (1977)Propagation of Uncertainty in Risk Assessments: The Need to Distinguish Between Uncertainty Due to Lack of Knowledge and Uncertainty Due to Variability (1994)Uncertainties in risk analysis: Six levels of treatment (1996)An exploration of alternative approaches to the representation of uncertainty in model predictions (2004)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)Imprecise probabilities in engineering analyses (2013)Verification of Computer Simulation Models (1967)Verification and Validation in Computational Science and Engineering (1998)Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations (2004)INTERNATIONAL ASSESSMENT OF RESEARCH AND DEVELOPMENT IN SIMULATION-BASED ENGINEERING AND SCIENCE (2011)ORTHOGONAL BASES FOR POLYNOMIAL REGRESSION WITH DERIVATIVE INFORMATION IN UNCERTAINTY QUANTIFICATION (2011)Stochastic analysis and validation under aleatory and epistemic uncertainties (2020)Simulation Modeling and Analysis. (1983)Geostatistics: Modeling Spatial Uncertainty (2000)Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation (2004)Calibration, validation, and sensitivity analysis: What's what (2006)Model validation and predictive capability for the thermal challenge problem (2007)Structural Reliability Analysis and Prediction (2017)DAKOTA : a multilevel parallel object-oriented framework for design optimization, parameter estimation, uncertainty quantification, and sensitivity analysis. Version 5.0, user's manual. (2010)Toward Machine Wald (2017)Integration of heterogeneous terrain data into Discrete Global Grid Systems (2021)Statistics for Experimenters (1979)Stochastic Finite Elements: A Spectral Approach (1991)Error and Uncertainty Analysis of Inexact and Imprecise Computer Models (2012)Gradient-based methods for uncertainty quantification in hypersonic flows (2012)Analysis of Uncertainty and Variability in Finite Element Computational Models for Biomedical Engineering: Characterization and Propagation (2016)Quantification of margins and mixed uncertainties using evidence theory and stochastic expansions (2015)Uncertainty Quantification of Material Properties in Ballistic Impact of Magnesium Alloys (2022)
this work references cited by second hop

References

  • 2004Verification, validation, and predictive capability in computational engineering and physics721 cited
  • 2004Challenge problems: uncertainty in system response given uncertain parameters570 cited
  • 2011Building a Framework for Predictive Science191 cited
  • 2013Optimal Uncertainty Quantification129 cited
  • 2010A Complete Framework for Verification, Validation, and Uncertainty Quantification in Scientific Computing (Invited)78 cited
  • 2008Rigorous verification, validation, uncertainty quantification and certification through concentration-of-measure inequalities56 cited
  • 2007Reliability of computational science55 cited
  • 2011Rigorous model-based uncertainty quantification with application to terminal ballistics, part I: Systems with controllable inputs and small scatter33 cited
  • 2011Rigorous model-based uncertainty quantification with application to terminal ballistics—Part II. Systems with uncontrollable inputs and large scatter24 cited

Cited by

  • 2015Toward Machine Wald10 cited

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