Abstract We review the materials science applications of nested sampling (NS) method, which was originally conceived for calculating evidence in Bayesian inference. describe how NS can be adapted to sample potential energy surface (PES) atomistic systems, providing a straightforward approximation partition function and allowing evaluation thermodynamic variables at arbitrary temperatures. After...

ABSTRACT It was recently emphasized that in the presence of plateaus likelihood function nested sampling (NS) produces faulty estimates evidence and posterior densities. After informally explaining cause problem, we present a modified version NS handles can be applied retrospectively to runs from popular software using anesthetic. In NS, live points plateau are evicted one by without replacemen...

Nested iteration is an important technique for query evaluation. It is the default way of executing nested subqueries in SQL. Although decorrelation often results in cheaper non-nested plans, decorrelation is not always applicable for nested subqueries. Nested iteration, if implemented properly, can also win over decorrelation for several classes of queries. Decorrelation is also hard to apply ...