Bayesian parameter estimation of miss-specified models

12/19/2018
by   Johannes Oberpriller, et al.
0

Fitting a simplifying model with several parameters to real data of complex objects is a highly nontrivial task, but enables the possibility to get insights into the objects physics. Here, we present a method to infer the parameters of the model, the model error as well as the statistics of the model error. This method relies on the usage of many data sets in a simultaneous analysis in order to overcome the problems caused by the degeneracy between model parameters and model error. Errors in the modeling of the measurement instrument can be absorbed in the model error allowing for applications with complex instruments.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
03/24/2023

FixFit: using parameter-compression to solve the inverse problem in overdetermined models

All fields of science depend on mathematical models. One of the fundamen...
research
11/26/2017

Calibration Concordance for Astronomical Instruments via Multiplicative Shrinkage

Calibration data are often obtained by observing several well-understood...
research
07/19/2023

Amortised Experimental Design and Parameter Estimation for User Models of Pointing

User models play an important role in interaction design, supporting aut...
research
08/05/2022

Hierarchical Bayesian data selection

There are many issues that can cause problems when attempting to infer m...
research
04/01/2022

Deep Q-learning of global optimizer of multiply model parameters for viscoelastic imaging

Objective: Estimation of the global optima of multiple model parameters ...
research
10/31/2018

Model parameter estimation using coherent structure coloring

Lagrangian data assimilation is a complex problem in oceanic and atmosph...
research
10/20/2019

Speech-Based Parameter Estimation of an Asymmetric Vocal Fold Oscillation Model and Its Application in Discriminating Vocal Fold Pathologies

So far, several physical models have been proposed for the study of voca...

Please sign up or login with your details

Forgot password? Click here to reset