• Polynomial chaos (PC), also called polynomial chaos expansion (PCE) and Wiener chaos expansion, is a method for representing a random variable in terms...
    18 KB (2,446 words) - 19:46, 19 March 2024
  • uncertainty quantification a surrogate model, e.g. a Gaussian process or a Polynomial Chaos Expansion, is learnt from computer experiments, this surrogate exhibits...
    29 KB (3,876 words) - 14:11, 15 January 2024
  • Thumbnail for George Karniadakis
    spectral/hp-element methods for fluids in complex geometries, general polynomial chaos for uncertainty quantification, and the Sturm-Liouville theory for...
    8 KB (786 words) - 11:27, 28 May 2024
  • concept in mathematical topology Precalculus, a level in math education Polynomial chaos, a concept in stochastic mathematics Principal component Posterior...
    8 KB (911 words) - 05:33, 10 March 2024
  • weight data points to sequentially reduce error. Polynomial chaos expansions, which use orthogonal polynomials to approximate the response surface. Smoothing...
    48 KB (5,864 words) - 00:19, 13 May 2024
  • Thumbnail for Kriging
    the emulator uncertainty to the total uncertainty (see also Bayesian Polynomial Chaos). Bayesian kriging can also be mixed with co-kriging. The unknown value...
    39 KB (5,984 words) - 14:04, 4 May 2024
  • surface Kardar–Parisi–Zhang equation Kushner equation Malliavin calculus Polynomial chaos Wick product Zakai equation Prévôt, Claudia; Röckner, Michael (2007)...
    8 KB (826 words) - 08:16, 19 March 2024
  • GPC may refer to: Gel permeation chromatography Generalized polynomial chaos Giant papillary conjunctivitis, a disease of the eye Gigaparsec (Gpc), a unit...
    2 KB (245 words) - 01:41, 29 March 2024
  • Thumbnail for Inverse transform sampling
    Stochastic Collocation Monte Carlo sampler (SCMC sampler) within a polynomial chaos expansion framework. This allows us to generate any number of Monte...
    15 KB (2,085 words) - 06:58, 13 May 2024
  • Thumbnail for Multifidelity simulation
    Gaussian processes, auto-regressive Gaussian processes, or Bayesian polynomial chaos expansions. The approach used depends on the domain and properties...
    14 KB (1,553 words) - 02:21, 11 December 2023