Inverse problems in the Bayesian framework Preface

Articles published in the special issue of the Inverse Problems journal reveal that the Bayesian methodology has gained a lot of popularity as a framework for considering inverse problems and has integrated successfully with many traditional inverse problems ideas and techniques, providing novel ways to interpret and implement traditional procedures in numerical analysis, computational statistics, signal analysis and data assimilation. The range of applications where the Bayesian framework has been fundamental extends from geophysics, engineering and imaging to astronomy, life sciences and economy, along with many other areas. This special issue widens the spectrum of Bayesian inverse problems to include developments designed for a variety of applications known to the readers of the journal.