Design a coherent theoretical framework for a new statistics / ML theory research topic, paper-type aware. Three modes — Theory paper (explain phenomena or provide new theoretical tools), Methodology paper (propose a new method with theoretical guarantees), Application paper (apply existing methods to scientific data with assumption verification). Each mode walks a different logical order: the centerpiece of a theory paper is the theorem itself, of a methodology paper the estimator, of an application paper the empirical findings. Mandatory literature anchoring step (recent top-venue papers) identifies the field's theoretical inertia and positioning options BEFORE any phas…