This paper addresses the problem of minimizing the average query complexity of inferring a pair of nested monotone Boolean functions defined on {0,1} using a pair of oracles. Here, nested refers to the case when one of the functions is always greater than or equal to the other function. It is shown that the nested case is equivalent to inferring the single function case defined on {0,1} when ac...

Although cohort studies which are based on intention-to-treat (ITT) approach offer a simple design with data which are simpler to analyse and results easier to interpret, such studies also intrinsically assume that any time-varying treatment effect that exits can be adequately estimated by a fixed-effect component. However, such an assumption may not reflect real-life drug use. Reflection of re...

This paper describes an approach to representing cases as nested graph-structures, i.e., as hierarchically, spatially, temporally and causally interconnected nodes (case nodes), which may be themselves recursively described by other sets of interconnected nodes. Each case node represents a case piece (sub-case). An adjacency matrix may represent these nested graph-structured cases. Within our a...

We present an extension of the recently introduced declarative process model Dynamic Condition Response Graphs ( DCR Graphs) to allow nested subgraphs and a new milestone relation between events. The extension was developed during a case study carried out jointly with our industrial partner Exformatics, a danish provider of case and workflow management systems. We formalize the semantics by giv...