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Classification Algorithms based on Generalized Polynomial Chaos.

, 2016
Classification is one of the most important tasks in process system engineering. Since most of the classification algorithms are generally based on mathematical models, they inseparably involve the quantification and propagation of model uncertainty onto the variables used for classification.
Du, Yuncheng
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Intrusive generalized polynomial chaos with asynchronous time integration for the solution of the unsteady Navier–Stokes equations [PDF]

Computers and Fluids, 2021
Generalized polynomial chaos provides a reliable framework for many problems of uncertainty quantification in computational fluid dynamics. However, it fails for long-time integration of unsteady problems with stochastic frequency.
Pettersson, Per, Silva, Camilo F., Bonnaire, Philip   +2 more
exaly   +2 more sources

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Generalized Polynomial Chaos-based Ensemble Kalman Filtering for Orbit Estimation

2021 American Control Conference (ACC), 2021
In this paper a novel framework is proposed to carry out state and parameter estimation of a general nonlinear stochastic dynamical system in a prediction-correction fashion. The uncertainties in the initial states and parameters are propagated using generalized polynomial chaos expansion technique to compute the predicted estimates of states and ...
Rajnish Bhusal, Kamesh Subbarao
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Modeling uncertainty in flow simulations via generalized polynomial chaos

Journal of Computational Physics, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiu, Dongbin, Karniadakis, George Em
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Generalized polynomial chaos-based estimation of human knee stiffness

2016 IEEE International Conference on Multisensor Fusion and Integration for Intelligent Systems (MFI), 2016
Observation of the human knee stiffness is known to be an important issue in rehabilitation robotics in order to consider biomechanical knee parameters of the individual patient. As in-vivo identification often is a complicated task, modeling of biomechanical processes always comes with uncertainties.
Markus J. Lüken, Steffen Leonhardt, Berno J. E. Misgeld   +2 more
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Some recommendations for applying gPC (generalized polynomial chaos) to modeling: An analysis through the Airy random differential equation [PDF]

Applied Mathematics and Computation, 2013
In this paper we study the use of the generalized polynomial chaos method to differential equations describing a model that depends on more than one random input. This random input can be in the form of parameters or of initial or boundary conditions. We
Benito M Chen-Charpentier, J -C Cortes, J -V Romero   +2 more
exaly   +2 more sources

Statistical analysis via generalized decoupled polynomial chaos

2015 IEEE 24th Electrical Performance of Electronic Packaging and Systems (EPEPS), 2015
This paper describes a new approach to the statistical characterization of high-speed interconnect circuits. The proposed approach is based on the idea of polynomial chaos and works by decoupling the matrices that arise from the Galerkin projection.
Xiaochen Liu, Emad Gad
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General Introduction to Polynomial Chaos and Collocation Methods

2018
In this chapter, the basic principles of two methodologies for uncertainty quantification (UQ) are discussed, namely the polynomial chaos method and the collocation method. UQ deals with the propagation of uncertainties through complex numerical models, and in the present context of the UMRIDA project, mostly computational fluid dynamics (CFD) codes ...
Chris Lacor, Éric Savin
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Uncertainty quantification in acoustics through generalized polynomial chaos expansions

The Journal of the Acoustical Society of America, 2021
Modeling and simulation has become increasingly important within acoustics to support system design and evaluation while reducing the need for expensive or sometimes unattainable field experiments. Much time and money has been invested in developing computational models that propagate known (deterministic) input data through a deterministic, and often ...
Andrew S. Wixom, Gage S. Walters
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Generalized polynomial chaos for nonlinear random pantograph equations

Acta Mathematicae Applicatae Sinica, English Series, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shi, Wen-Jie, Zhang, Cheng-Jian
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