Paul R. Lessard

activity

20142024

most citedPosition: Categorical Deep Learning is an Algebraic Theory of All Architectures

2 citations · 2 across the 5 of their papers we have counts for

collaborators

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3 papers · 1 filter

math.CT2022

On The Combinatorics of the Gray Cylinder

Paul Lessard

This paper develops some combinatorics of the lax Gray cylinder on the cells of Θ understood as a full subcategory of the category of strict ω-categories. More, we construct a span…

math.CT2022

$Z$ -Categories I

Paul Lessard

This paper is the first in a series of two papers, $Z$ -Categories I and $Z$ -Categories II, which develop the notion of $Z$ -category, the natural bi-infin…

math.CT2018

Joyal's Suspension Functor on $Θ$ and Kan's Combinatorial Spectra

Paul Lessard

In [Joyal] where the category $Θ$ is first defined it is noted that the dimensional shift on $Θ$ suggests an elegant presentation of the unreduced suspension on cellular sets. In t…

On The Combinatorics of the Gray Cylinder

Z-Categories I

Joyal's Suspension Functor on Θ and Kan's Combinatorial Spectra

$Z$ -Categories I

Joyal's Suspension Functor on $Θ$ and Kan's Combinatorial Spectra