#higherorder

Charo del Genioparaw@mathstodon.xyz
2025-04-10

New paper, just out.

Often, in real-world situations, one does not know the full structure of a network. However, at the same time, one can often observe some interactions that take place on it, and may be interested in knowing its full structure. For example, one may be detecting some partial criminal activity and may want to determine the whole organization. We consider higher-order networks, which are structures with many-body interactions, and specifically simplicial complexes, and show that one can reconstruct a whole network almost perfectly simply by observing the transient of the dynamics that takes place on it. In fact, we give 3 different algorithms to do it, with different complexities and accuracies, so you can choose which one suits you best.

#physics #mathematics #networks #reconstruction #higherorder #simplicialcomplex #hypergraphs #evolutionarygames #transient #dynamics #algorithm

Nine plots, arranged in a 3-by-3 grid. The columns, left to right, correspond to three real-world data sets, marked "Malawi", "SFHH" and "LH10", left to right. The rows, from top to bottom, correspond to the three algorithms introduced in the article, namely PBP, GLO and GLOC. Each plot show how the F1 score, on the y axis, very quickly approaches almost 100% for 1-simplices and 2-simplices as the size of the observation set, on the x axis, increases. In general, GLO and GLOC perform better than PBP.
2024-10-10

The recently disproven bunkbed conjecture is fascinating - very topical for nowaday's hype in #multilayer #higherorder #networkscience
Not very useful with the 10^(-4331) result, but interesting: arxiv.org/abs/2410.02545
Here a nice explainer: youtube.com/watch?v=aDU-oTiHnC

Spektrum (inoffiziell)spektrum@anonsys.net
2024-02-09
Gleich mehrere konkurrierende Theorien versuchen zu erklären, was Bewusstsein ist. Nun sollen sie empirisch getestet werden. Doch das erweist sich als ziemlich kompliziert.#Bewusstsein #Gehirn #Komplexität #Theorien #Verarbeitung #Top-down #Bottom-up #Vernetzung #Emergenz #Rekurrenz #Workspace #HöhereOrdnung #Higherorder #Informationsverarbeitung #Geist #PsychologieHirnforschung
Der ewige Streit ums Bewusstsein

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