Tootfinder

citeseer: CiteSeer citations (2014)
Citations among papers indexed by the CiteSeer digital library. If a paper i cites a paper j also in this data set, then a directed edge connects i to j. (Papers not in the data set are excluded.) Self-loops may be present.
This network has 384413 nodes and 1751463 edges.
Tags: Informational, Citation, Unweighted

Reverse Fa\`a di Bruno's Formula for Cartesian Reverse Differential Categories
Aaron Biggin (Macquarie University), Jean-Simon Pacaud Lemay (Macquarie University)
https://arxiv.org/abs/2509.20931

Reverse Faà di Bruno's Formula for Cartesian Reverse Differential Categories
Reverse differentiation is an essential operation for automatic differentiation. Cartesian reverse differential categories axiomatize reverse differentiation in a categorical framework, where one of the primary axioms is the reverse chain rule, which is the formula that expresses the reverse derivative of a composition. Here, we present the reverse differential analogue of Faa di Bruno's Formula, which gives a higher-order reverse chain rule in a Cartesian reverse differential category. To prop…

How to build a Hopf algebra
Theo Johnson-Freyd, David Reutter
https://arxiv.org/abs/2508.16787 https://arxiv.org/pdf/2508.16787

How to build a Hopf algebra
We construct a functor that inputs a retract in an $(\infty,3)$-category satisfying some adjunctibility conditions and outputs a Hopf algebra in a braided monoidal $(\infty,1)$-category. Provided the braided monoidal category is presentable, any Hopf algebra can be obtained in this way. Our functor specializes to - and provides a higher-categorical explanation for - the Tannakian reconstruction of a Hopf algebra from a monoidal category with duals and a fiber functor. Towards this end, we rev…

On the representation type of a finite tensor category
Petter Andreas Bergh, Karin Erdmann, Julia Yael Plavnik, Sarah Witherspoon
https://arxiv.org/abs/2509.20853 https://

On the representation type of a finite tensor category
Given an exact module category over a finite tensor category with finitely generated cohomology, we show that if there exists an object of complexity at least three, then the category is of wild representation type. In particular, if the Krull dimension of the cohomology ring of the finite tensor category is at least three, then this category is wild.

Food's Carbon Footprint - Are you as green as you eat? Your diet has a big impact on carbon footprint. #food #cutCarbon - https://www.

Foods Carbon Footprint
Are you as green as you eat? Your diet has a big impact on carbon footprint. #food #cutCarbon

A Markovian Approach for Cross-Category Complementarity in Choice Modeling
Omar El Housni, Shuo Sun, Rajan Udwani
https://arxiv.org/abs/2508.18566 https://…

A Markovian Approach for Cross-Category Complementarity in Choice Modeling
While single-purchase choice models have been widely studied in assortment optimization, customers in modern retail and e-commerce environments often purchase multiple items across distinct product categories, exhibiting both substitution and complementarity. We consider the cross-category assortment optimization problem where retailers jointly determine assortments across categories to maximize expected revenue. Most prior work on the topic either overlooks complementarity or proposes models t…

arxiv_authors: Arxiv authors (1993-2003)
Scientific collaborations between authors of papers submitted to arxiv.org, under 5 categories: gr-qc, astro-ph, cond-mat, hep-ph, and hep-th categories, spanning January 1993 to April 2003. If an author i co-authored a paper with author j, the graph contains a undirected edge from i to j. If the paper is co-authored by k authors this generates a completely connected (sub)graph on k nodes.
This network has 108300 nodes and 186936 edges.

Learners are Almost Free Compact Closed
Mitchell Riley
https://arxiv.org/abs/2509.20930 https://arxiv.org/pdf/2509.20930

Learners are Almost Free Compact Closed
The category of learners has a pleasant symmetric formulation when the morphisms are considered up to a coarser equivalence than the one originally described in the paper "Backprop as Functor". A quotient of this modified category gives a new construction of the free compact closed category on a symmetric monoidal category.

Super-Insulating Our Living Room (2010) - Learn how we retrofitted interior wall insulation for winter warmth and summer cool, and trimmed our carbon footprint. #aerogel #frugal #cutCarbon -

Super-Insulating Our Living Room (2010)
Learn how we retrofitted interior wall insulation for winter warmth and summer cool, and trimmed our carbon footprint. #aerogel #frugal #cutCarbon

citeseer: CiteSeer citations (2014)
Citations among papers indexed by the CiteSeer digital library. If a paper i cites a paper j also in this data set, then a directed edge connects i to j. (Papers not in the data set are excluded.) Self-loops may be present.
This network has 384413 nodes and 1751463 edges.
Tags: Informational, Citation, Unweighted