no code implementations • 3 Apr 2024 • Jules Hedges, Riu Rodríguez Sakamoto
The outline of the main construction in this paper is: (1) We extend the Bellman operators to parametrised optics that apply to action-value functions and depend on a sample.
no code implementations • 10 May 2023 • Dylan Braithwaite, Jules Hedges, Toby St Clere Smithe
Bayes' rule tells us how to invert a causal process in order to update our beliefs in light of new evidence.
1 code implementation • 26 Oct 2020 • Cole Comfort, Antonin Delpeuch, Jules Hedges
Bimonoidal categories (also known as rig categories) are categories with two monoidal structures, one of which distributes over the other.
Category Theory 18M30, 18M50
no code implementations • 5 Jun 2020 • Elena Di Lavore, Jules Hedges, Paweł Sobociński
The analysis of games played on graph-like structures is of increasing importance due to the prevalence of social networks, both virtual and physical, in our daily life.
Computer Science and Game Theory Category Theory
no code implementations • 22 Feb 2019 • Jules Hedges
The categories of open learners (due to Fong, Spivak and Tuy\'eras) and open games (due to the present author, Ghani, Winschel and Zahn) bear a very striking and unexpected similarity.
no code implementations • 6 Nov 2018 • Martha Lewis, Bob Coecke, Jules Hedges, Dimitri Kartsaklis, Dan Marsden
Moreover, the interaction between the three disciplines of cognitive science, linguistics and game theory is a fertile ground for research.
no code implementations • 20 Jul 2018 • Jules Hedges, Martha Lewis
In categorical compositional semantics of natural language one studies functors from a category of grammatical derivations (such as a Lambek pregroup) to a semantic category (such as real vector spaces).
1 code implementation • 15 Mar 2016 • Neil Ghani, Jules Hedges, Viktor Winschel, Philipp Zahn
We introduce open games as a compositional foundation of economic game theory.
Computer Science and Game Theory
no code implementations • 4 Feb 2016 • Jules Hedges, Mehrnoosh Sadrzadeh
Categorical compositional distributional semantics is a model of natural language; it combines the statistical vector space models of words with the compositional models of grammar.