28 citations · 77 across the 9 of their papers we have counts for
5 papers · 1 filter
Clock systems for stochastic and non-deterministic categorical systems theories
Owen Lynch, David Jaz Myers, Eigil Fjeldgren Rischel +1
One of the characteristic features of categorical systems theory is that the behavior of systems can be characterized by certain morphisms into them. In other words, behaviors form…
The Universal Property of Measure-Theoretic Probability
Eigil Fjeldgren Rischel
Building on work of Chen, we give a universal property of the Markov category BorelStoch of standard Borel spaces and Markov kernels between them. To do this, we introduce a new no…
Fibre optics
Dylan Braithwaite, Matteo Capucci, Bruno Gavranović +2
Lenses, optics and dependent lenses (or equivalently morphisms of containers, or equivalently natural transformations of polynomial functors) are all widely used in applied categor…
Towards Foundations of Categorical Cybernetics
Matteo Capucci, Bruno Gavranović, Jules Hedges +1
We propose a categorical framework for processes which interact bidirectionally with both an environment and a 'controller'. Examples include open learners, in which the controller…
Infinite products and zero-one laws in categorical probability
Tobias Fritz, Eigil Fjeldgren Rischel
Markov categories are a recent category-theoretic approach to the foundations of probability and statistics. Here we develop this approach further by treating infinite products and…