http://maxim.ece.illinois.edu/cv.pdf WebbQ&A for people studying math at any level and professionals in related fields

probability theory - Comparison between Shannon

WebbSuppose we have a pair of information channels, κ 1 , κ 2 , with a common input. The Blackwell order is a partial order over channels that compares κ 1 and κ 2 by the … Webb3 maj 2024 · This fact is used to derive a characterization of the Shannon ordering that is similar to the Blackwell-Sherman-Stein theorem. Two channels are said to be Shannon … birthstone for april 3

Maxim Raginsky

WebbRaginsky M., “ Shannon meets Blackwell and Le Cam: Channels, codes, and statistical experiments,” in 2011 IEEE International Symposium on Information Theory Proceedings, … WebbIn generalized resource theories, one aims to reformulate the problem of deciding whether a suitable transition (typically a transition that preserves the Gibbs state of the theory) between two given states ρ and σ exists or not, into the problem of checking whether a set of second-law–like inequalities hold or not. The aim of these preliminary notes is to … WebbDrawing on an analogy with the second law of thermodynamics for adiabatically isolated systems, Cover argued that data-processing inequalities may be seen as second laws for “computationally isolated systems,” namely, systems evolving without an … darien wisconsin conagra