An evolutionary nested sampling algorithm for Bayesian model updating and model selection using modal measurement

2017 ◽  
Vol 140 ◽  
pp. 298-307 ◽  
Author(s):  
Feng Qian ◽  
Wei Zheng
Keyword(s):  
Model Selection ◽  
Bayesian Model ◽  
Model Updating ◽  
Sampling Algorithm ◽  
Nested Sampling

The ellipsoidal nested sampling and the expression of the model uncertainty in measurements

2016 ◽  
Vol 30 (15) ◽  
pp. 1541002
Author(s):  
Gianpiero Gervino ◽  
Giovanni Mana ◽  
Carlo Palmisano
Keyword(s):  
Model Selection ◽  
Measurement Uncertainty ◽  
Model Uncertainty ◽  
Physical System ◽  
Bayesian Model ◽  
Model Averaging ◽  
Nested Sampling ◽  
Contour Lines ◽  
The Many ◽  
Numerical Strategy

In this paper, we consider the problems of identifying the most appropriate model for a given physical system and of assessing the model contribution to the measurement uncertainty. The above problems are studied in terms of Bayesian model selection and model averaging. As the evaluation of the “evidence” [Formula: see text], i.e., the integral of Likelihood × Prior over the space of the measurand and the parameters, becomes impracticable when this space has [Formula: see text] dimensions, it is necessary to consider an appropriate numerical strategy. Among the many algorithms for calculating [Formula: see text], we have investigated the ellipsoidal nested sampling, which is a technique based on three pillars: The study of the iso-likelihood contour lines of the integrand, a probabilistic estimate of the volume of the parameter space contained within the iso-likelihood contours and the random samplings from hyperellipsoids embedded in the integration variables. This paper lays out the essential ideas of this approach.

scholarly journals A Nested Sampling Algorithm for Cosmological Model Selection

2006 ◽  
Vol 638 (2) ◽  
pp. L51-L54 ◽  
Author(s):  
Pia Mukherjee ◽  
David Parkinson ◽  
Andrew R. Liddle
Keyword(s):  
Model Selection ◽  
Cosmological Model ◽  
Sampling Algorithm ◽  
Nested Sampling

scholarly journals Bayesian model selection on scalar ε -field dark energy

2021 ◽  
Vol 103 (4) ◽  
Author(s):  
J. Alberto Vázquez ◽  
David Tamayo ◽  
Anjan A. Sen ◽  
Israel Quiros
Keyword(s):  
Dark Energy ◽  
Model Selection ◽  
Bayesian Model ◽  
Bayesian Model Selection

scholarly journals Accounting for cell lineage and sex effects in the identification of cell-specific DNA methylation using a Bayesian model selection algorithm

PLoS ONE ◽  
2017 ◽  
Vol 12 (9) ◽  
pp. e0182455 ◽  
Author(s):  
Nicole White ◽  
Miles Benton ◽  
Daniel Kennedy ◽  
Andrew Fox ◽  
Lyn Griffiths ◽  
...  
Keyword(s):  
Dna Methylation ◽  
Model Selection ◽  
Bayesian Model ◽  
Cell Lineage ◽  
Bayesian Model Selection ◽  
Selection Algorithm ◽  
Sex Effects
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