In the ever-evolving toolkit of statistical analysis techniques, Bayesian statistics has emerged as a popular and powerful methodology for making decisions from data in the applied sciences. Bayesian ...

Just because I get asked this question pretty often when talking about vaes with flexible base distributions and figured i'd make a simple example. If we think of diffusion models as hierachical VAE ...

The Posterior distribution of the Likelihood Ratio (PLR) is proposed by Dempster in 1974 for significance testing in the simple vs composite hypotheses case. In this hypotheses test case, classical ...

Comparing phenotypic traits with speciation/extinction rates using samples from a posterior distribution, with Phylogenetic Generalized Least Squares in R. In my case I used color evolution rates ...

Abstract: The paper describes a Bayesian approach to estimate the amplitude of a given signal embedded in complex zero-mean Gaussian noise with unknown covariance. By employing Jeffreys priors to ...