September 2026

Task-restricted remote sensing asks for the cheapest virtual sensor whose information matrix lies in a given admissible cone. On the published four-state example, the plotted rate–cost frontiers are optima over the whole cone, including its rank-deficient boundary, to within $0.07$ cost units inside the digitisation band, whereas no isotropic-noise family...

Adaptive-computation methods usually route one resource at a time, and many route it by a single notion of difficulty. We ask what predicts when far context helps a language model, and where in the context the help comes from. Measured token by token on text written after the models' training...

Evaluation systems often screen candidates before the conditions in which those candidates will succeed are known. When screening and downstream matching are separated, channel-marginal scoring can reject candidates whose value would become high after later information reveals where they fit. This paper studies the design of such staged systems. Blackwell’s...

We formulate a residual-and-information framework for continuous quantum measurement in which non-Markovian record history is represented by an exact anchored accumulation and conditional measurement ambiguity is represented by a residual whose zero set is the extremal record manifold. The construction is deliberately layered on established quantum instruments, nondemolition filtering, and...