My only topology knowledge comes from "Experiments in Topology" by Barr where one chapter was something like a court case about making holes and using them and repairing or something like that. Book was written in 1960s and I read it when I was teen in early 2000s. The book covered the most basics of topology and was quite fun even for teenager me as it had fun exercises.
Sure! Typical graph data usually takes on a node-edge form where the data is assigned to each node with connections via edges. This notion of a graph can be generalized by considering a graph with faces formed through a connection of edges, for example a triangle or square. These graphs are called "cell complexes" as each face kind of looks like a cell. Instead of data being put only on vertices, we can also assign data to edges and faces. This makes the data representation and model more expressive since we look at higher-order connections on faces rather than only on edges. The authors form a transformer utilizing the properties of higher order structures and find good resouls on a few datasets.
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My only topology knowledge comes from "Experiments in Topology" by Barr where one chapter was something like a court case about making holes and using them and repairing or something like that. Book was written in 1960s and I read it when I was teen in early 2000s. The book covered the most basics of topology and was quite fun even for teenager me as it had fun exercises.
Спасибо за видно, ничего не понял
eli5?
Sure! Typical graph data usually takes on a node-edge form where the data is assigned to each node with connections via edges. This notion of a graph can be generalized by considering a graph with faces formed through a connection of edges, for example a triangle or square. These graphs are called "cell complexes" as each face kind of looks like a cell. Instead of data being put only on vertices, we can also assign data to edges and faces. This makes the data representation and model more expressive since we look at higher-order connections on faces rather than only on edges. The authors form a transformer utilizing the properties of higher order structures and find good resouls on a few datasets.
@@gabrielmongaras thanks, wasn't exactly eli5 but i understand this is a difficult topic
Is there anything that's particularly confusing?
@@gabrielmongaras thanks i don't want to take your time, i'm going to study this myself