Representing Model Discrepancy in Bound-to-Bound Data Collaboration
نویسندگان
چکیده
We extend the existing methodology in bound-to-bound data collaboration (B2BDC), an optimization-based deterministic uncertainty quantification (UQ) framework, to explicitly take into account model discrepancy. The discrepancy is represented as a linear combination of finite basis functions, and feasible set constructed according collection modified model-data constraints. Formulas for making predictions are also include function. Prior information about can be added framework additional Dataset consistency, central feature B2BDC, generalized based on extended framework.
منابع مشابه
Consistency Analysis for Massively Inconsistent Datasets in Bound-to-Bound Data Collaboration
Bound-to-Bound Data Collaboration (B2BDC) provides a natural framework for addressing both forward and inverse uncertainty quantification problems. In this approach, QOI (quantity of interest) models are constrained by related experimental observations with interval uncertainty. A collection of such models and observations is termed a dataset and carves out a feasible region in the parameter sp...
متن کاملA generalized discrepancy and quadrature error bound
An error bound for multidimensional quadrature is derived that includes the Koksma-Hlawka inequality as a special case. This error bound takes the form of a product of two terms. One term, which depends only on the integrand, is defined as a generalized variation. The other term, which depends only on the quadrature rule, is defined as a generalized discrepancy. The generalized discrepancy is a...
متن کاملA LeVeque-type Lower Bound for Discrepancy
A sharp lower bound for discrepancy on R/Z is derived that resembles the upper bound due to LeVeque. An analogous bound is proved for discrepancy on R/Z. These are discussed in the more general context of the discrepancy of probablity measures. As applications, the bounds are applied to Kronecker sequences and to a random walk on the torus.
متن کامل3D gravity data-space inversion with sparseness and bound constraints
One of the most remarkable basis of the gravity data inversion is the recognition of sharp boundaries between an ore body and its host rocks during the interpretation step. Therefore, in this work, it is attempted to develop an inversion approach to determine a 3D density distribution that produces a given gravity anomaly. The subsurface model consists of a 3D rectangular prisms of known sizes ...
متن کاملA bound for Feichtinger conjecture
In this paper, using the discrete Fourier transform in the finite-dimensional Hilbert space C^n, a class of nonRieszable equal norm tight frames is introduced and using this class, a bound for Fiechtinger Conjecture is presented. By the Fiechtinger Conjecture that has been proved recently, for given A,C>0 there exists a universal constant delta>0 independent of $n$ such that every C-equal...
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: 2021
ISSN: ['2166-2525']
DOI: https://doi.org/10.1137/19m1270185