
AKMCS
 Referenced in 72 articles
[sw18303]
 numerous variants of response surfaces. Polynomial Chaos [1] and Support Vector Machine [2] are also...

ALEA
 Referenced in 60 articles
[sw10167]
 emphasis lies on: generalised polynomial chaos (gpc) methods; stochastic Galerkin FEM; adaptive numerical methods; tensor...

UQLab
 Referenced in 43 articles
[sw19740]
 engaged by its members, e.g. metamodeling (polynomial chaos expansions, Gaussian process modelling, a.k.a. Kriging...

Chaospy
 Referenced in 13 articles
[sw31225]
 Chaospy for performing uncertainty quantification via polynomial chaos expansions and Monte Carlo simulation. The paper ... highlevel computer code define custom distributions, polynomials, integration rules, sampling schemes, and statistical metrics ... approach for creating polynomial chaos expansions with dependent stochastic variables...

muq
 Referenced in 6 articles
[sw33064]
 chain Monte Carlo (MCMC) sampling; Constructing polynomial chaos expansions (PCE); Computing KarhunenLoeve expansions; Building...

Uncertainpy
 Referenced in 4 articles
[sw31267]
 both quasiMonte Carlo methods and polynomial chaos expansions using either point collocation ... pseudospectral method. Both of the polynomial chaos expansion methods have support for the rosenblatt...

BATMAN
 Referenced in 4 articles
[sw29121]
 sample, Surrogate Models (Gaussian process, Polynomial Chaos, RBF, scikitlearn’s regressors), Optimization (Expected Improvement...

GPC
 Referenced in 2 articles
[sw24937]
 package GPC Generalized Polynomial Chaos: A generalized polynomial chaos expansion of a model taking...

aPC
 Referenced in 1 article
[sw40982]
 Matlab Toolbox: Datadriven Arbitrary Polynomial Chaos. Polynomial chaos expansion (PCE) introduced by Norbert Wiener ... uncertain model parameters. Recently the polynomial chaos expansion received a generalization towards the arbitrary polynomial ... generalization of the PCE. Like all polynomial chaos expansion techniques, aPC approximates the dependence ... rate and converges faster than classical polynomial chaos expansion techniques. The aPC Matlab Toolbox have...

PoCET
 Referenced in 1 article
[sw33956]
 PoCET: a Polynomial Chaos Expansion Toolbox for Matlab. We introduce PoCET: a free and open ... scource Polynomial Chaos Expansion Toolbox for Matlab, featuring the automatic generation of polynomial chaos expansion ... show how to perform a polynomial chaos expansion on a simple ordinary differential equation using...

UQToolbox
 Referenced in 2 articles
[sw20360]
 with MPI support; Tools for Generalized Polynomial Chaos; Probabilistic Collocation Method; Multielement ProbabilisticZCollocation Method...

Pygpc
 Referenced in 2 articles
[sw41525]
 based on the nonintrusive generalized polynomial chaos method allowing one to treat the investigated...

PolyChaos
 Referenced in 1 article
[sw33430]
 PolyChaos.jl  A Julia Package for Polynomial Chaos in Systems and Control. Polynomial chaos expansion ... theory of Hilbert spaces and orthogonal polynomials, PCE allows for a unifying mathematical framework...

PCA_SA
 Referenced in 1 article
[sw38319]
 MATLAB tutorial PCA_SA: Polynomial (chaos) approximation of maximum eigenvalue functions. This tutorial reviews ... article, Fenzi & Michiels (2019) ”Polynomial (chaos) approximation of maximum eigenvalue functions: efficiency and limitations”, providing ... your own. The tutorial explores the polynomial approximation of smooth, nondifferentiable and nonLipschitz...

NISP
 Referenced in 1 article
[sw32115]
 inputs. The analysis is based on chaos polynomials, which are orthogonal polynomials which are used ... model. Once the coefficients of the chaos polynomial are computed, the associated sensitivity indices...

BaPC
 Referenced in 1 article
[sw40983]
 BaPC Matlab Toolbox: Bayesian Arbitrary Polynomial Chaos. BaPC Matlab Toolbox offers an advanced framework ... parameter inference based on the arbitrary polynomial chaos expansion (aPC) and strict Bayesian principles. BaPC ... model parameters by expansion in an orthogonal polynomial basis and the resulting response surface...

MEPCMP
 Referenced in 1 article
[sw33641]
 used for the multielement probabilistic polynomial chaos method...

proFit
 Referenced in 1 article
[sw39177]
 Current functionality covers uncertainty quantification via polynomial chaos expansion with chaospy as a backend. Support...

ADOLC
 Referenced in 257 articles
[sw00019]
 ADOLC: Automatic Differentiation of C/C++. We present...

CoCoA
 Referenced in 659 articles
[sw00143]
 CoCoA is a system for Computations in Commutative...