2 papers
math.PR2026
A mathematical analysis of hierarchical Hopfield models
Markus Heydenreich, Christian Hirsch, Matthias Löwe
The central question that we address is: How can structured information be stored in a hierarchical Hopfield model involving hidden layers? To this end, we develop a formalism of s…
math.PR2025
Mean-field behaviour of the random connection model on hyperbolic space
Matthew Dickson, Markus Heydenreich
We study the random connection model on hyperbolic space in dimension . Vertices of the spatial random graph are given as a Poisson point process with intensi…