3 citations · 5 across the 5 of their papers we have counts for
5 papers
Regular Calculi I: Graphical Regular Logic
Tslil Clingman, Brendan Fong, David I. Spivak
What is ergonomic syntax for relations? In this first paper in a series of two, to answer the question we define regular calculi: a suitably structured functor from a category repr…
A common misinterpretation of Isbell's obstruction to monoidal strictification
tslil clingman
A monoidal category has a natural isomorphism called the associator. In the case where the objects $(A\otimes B)\otim…
Bi-initial objects and bi-representations are not so different
Tslil Clingman, Lyne Moser
We introduce a functor extracting from a double category a -category whose objects and morphisms are the vert…
2-limits and 2-terminal objects are too different
tslil clingman, Lyne Moser
In ordinary category theory, limits are known to be equivalent to terminal objects in the slice category of cones. In this paper, we prove that the 2-categorical analogues of this…
Probability Density Functions from the Fisher Information Metric
T. Clingman, Jeff Murugan, Jonathan P. Shock
We show a general relation between the spatially disjoint product of probability density functions and the sum of their Fisher information metric tensors. We then utilise this resu…