6 citations · 33 across the 14 of their papers we have counts for
4 papers · 1 filter
Generalised Brègman relative entropies: a brief introduction
Ryszard Paweł Kostecki
We present some basic elements of the theory of generalised Brègman relative entropies over nonreflexive Banach spaces. Using nonlinear embeddings of Banach spaces together with th…
Categories of Brègman operations and epistemic (co)monads
Ryszard Paweł Kostecki
We construct a categorical framework for nonlinear postquantum inference, with embeddings of convex closed sets of suitable reflexive Banach spaces as objects and pullbacks of Brèg…
Equivalence of tensor products over a category of W*-algebras
Ryszard Paweł Kostecki, Tomasz Ignacy Tylec
We prove the equivalence of two tensor products over a category of W*-algebras with normal (not necessarily unital) *-homomorphisms, defined by Guichardet and Dauns, respectively.…
Quantum theory as inductive inference
Ryszard Paweł Kostecki
We present the elements of a new approach to the foundations of quantum theory and probability theory which is based on the algebraic approach to integration, information geometry,…