Bayesian model comparison is often based on the posterior distribution over
the set of compared models. This distribution is often observed to concentrate
on a single model even when other measures of
Various methods have been developed to combine inference across multiple sets
of results for unsupervised clustering, within the ensemble and consensus
clustering literature. The approach of reporting
Modern statistical software and machine learning libraries are enabling
semi-automated statistical inference. Within this context, it appears easier
and easier to try and fit many models to the data a
Bayesian model comparison (BMC) offers a principled probabilistic approach to
study and rank competing models. In standard BMC, we construct a discrete
probability distribution over the set of possibl
Regular vine copulas can describe a wider array of dependency patterns than
the multivariate Gaussian copula or the multivariate Student's t copula. This
paper presents two contributions related to mo
Approximate Bayesian inference for neural networks is considered a robust
alternative to standard training, often providing good performance on
out-of-distribution data. However, Bayesian neural netwo
The use of cash bail as a mechanism for detaining defendants pre-trial is an
often-criticized system that many have argued violates the presumption of
"innocent until proven guilty." Many studies have
It is common practice to use Laplace approximations to compute marginal
likelihoods in Bayesian versions of generalised linear models (GLM). Marginal
likelihoods combined with model priors are then us
We outline a bayesian model-averaged meta-analysis for standardized mean differences in order to quantify evidence for both treatment effectiveness and across-study heterogeneity.
We construct four competingmodels by orthogonally combining two present-absent assumptions, one for the treatment effect and one for across-study heterogeneity.
Fitting the multi-wavelength spectral energy distributions (SEDs) of galaxies
is a widely used technique to extract information about the physical properties
of galaxies. However, a major difficulty l
In many applications, there is interest in clustering very high-dimensional
data. A common strategy is first stage dimensionality reduction followed by a
standard clustering algorithm, such as k-means
Bayesian model selection with improper priors is not well-defined because of
the dependence of the marginal likelihood on the arbitrary scaling constants of
the within-model prior densities. We show h
How do we compare between hypotheses that are entirely consistent with
observations? The marginal likelihood (aka Bayesian evidence), which represents
the probability of generating our observations fr
Probabilistic (bayesian) modeling has experienced a surge of applications in almost all quantitative sciences and industrial areas.
This development is driven by a combination of several factors, including better probabilisticestimation algorithms, flexible software, increased computing power, and a growing awareness of the benefits of probabilistic learning.
This paper presents a Bayesian model selection approach via Bayesian
quadrature and sensitivity analysis of the selection criterion for a
lithium-ion battery model. The Bayesian model evidence is adop
Bayesian model reduction provides an efficient approach for comparing the
performance of all nested sub-models of a model, without re-evaluating any of
these sub-models. Until now, Bayesian model redu
The integrated nested Laplace approximation (INLA) for Bayesian inference is an efficient approach to estimate the posterior marginal distributions of the parameters and latent effects of Bayesian hie
We present a bayesian model comparison framework for fitting models to data in order to infer the appropriate model complexity in a data-driven manner.
We aim to use them to detect the correct number of major episodes of starformation from the analysis of the spectral energy distributions (seds) of 3d-hst galaxies at z ~ 1.5. starting from the published stellar population properties of these galaxies, we use kernel density estimates to build multivariate input parameter distributions to obtain realistic simulations.
Federated learning aims to leverage users'own data and computational resources in learning a strong global model, without directly accessing their data but only local models.
It usually requires multiple rounds of communication, in which aggregating local models into a global model plays animportant role.
In a network meta-analysis, some of the collected studies may deviate
markedly from the others, for example having very unusual effect sizes. These
deviating studies can be regarded as outlying with r