We propose a linear-time, single-pass, top-down algorithm for multiple testing on directed acyclic graphs, where nodes represent hypotheses and edges specify a partial ordering in which the hypotheses ...

This process mimics human problem-solving, where ideas are proposed, critiqued, and refined iteratively. Diagram of Thought: Directed Acyclic Graph of Iterative Reasoning ...

Collapsibility means that the same statistical result of interest can be obtained before and after marginalization over some variables. In this paper, we discuss three kinds of collapsibility for ...