• AK-MCS

  • 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 ... high-level 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 Karhunen-Loeve expansions; Building...
  • Uncertainpy

  • Referenced in 4 articles [sw31267]
  • both quasi-Monte Carlo methods and polynomial chaos expansions using either point collocation ... pseudo-spectral 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, scikit-learn’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: Data-driven 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; Multi-element ProbabilisticZCollocation Method...
  • Pygpc

  • Referenced in 2 articles [sw41525]
  • based on the non-intrusive 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, non-differentiable and non-Lipschitz...
  • 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 multi-element 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...
  • ADOL-C

  • Referenced in 257 articles [sw00019]
  • ADOL-C: Automatic Differentiation of C/C++. We present...
  • CoCoA

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