Bayesian Model and Dimension Reduction for Uncertainty Propagation: Applications in Random Media
نویسندگان
چکیده
منابع مشابه
A nonparametric belief propagation method for uncertainty quantification with applications to flow in random porous media
Article history: Received 10 December 2012 Accepted 8 May 2013 Available online 31 May 2013
متن کاملTwo models for Bayesian supervised dimension reduction
We study and develop two Bayesian frameworks for supervised dimension reduction that apply to nonlinear manifolds: Bayesian mixtures of inverse regressions and gradient based methods. Formal probabilistic models with likelihoods and priors are given for both methods and efficient posterior estimates of the effective dimension reduction space and predictive factors can be obtained by a Gibbs sam...
متن کاملPropagation and organization in lattice random media
We show that a signal can propagate in a particular direction through a model random medium regardless of the precise state of the medium. As a prototype, we consider a point particle moving on a one-dimensional lattice whose sites are occupied by scatterers with the following properties: (i) the state of each site is defined by its spin (up or down); (ii) the particle arriving at a site is sca...
متن کاملWave propagation and scattering in random media
No wonder you activities are, reading will be always needed. It is not only to fulfil the duties that you need to finish in deadline time. Reading will encourage your mind and thoughts. Of course, reading will greatly develop your experiences about everything. Reading wave propagation and scattering in random media is also a way as one of the collective books that gives many advantages. The adv...
متن کاملPropagation Models and Fitting Them for the Boolean Random Sets
In order to study the relationship between random Boolean sets and some explanatory variables, this paper introduces a Propagation model. This model can be applied when corresponding Poisson process of the Boolean model is related to explanatory variables and the random grains are not affected by these variables. An approximation for the likelihood is used to find pseudo-maximum likelihood esti...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SIAM/ASA Journal on Uncertainty Quantification
سال: 2019
ISSN: 2166-2525
DOI: 10.1137/17m1155867