18 citations · 31 across the 15 of their papers we have counts for
4 papers · 1 filter
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…
The infinite block spin Ising model
Jonas Jalowy, Isabel Lammers, Matthias Löwe
We study a block mean-field Ising model with spins split into blocks, with Curie-Weiss interaction within blocks and nearest-neighbor coupling between blocks. While previ…
On the Effect of Bottlenecks in Block Spin Models
Isabel Lammers, Matthias Löwe
We study a bottleneck spin model with spins, split into two Curie-Weiss models at low temperature with a bottleneck between them. We propose multiple ways of how to realize suc…
High-Temperature Increasing Propagation of Chaos and its breakdown for the Hopfield Model
Matthias Löwe
We analyze increasing propagation of chaos in the high temperature regime of a disordered mean-field model, the Hopfield model. We show that for (the true high temperature re…