18 citations · 31 across the 15 of their papers we have counts for
18 papers
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…
Spectral properties of the stochastic block model and their application to hitting times of random walks
Matthias Löwe, Sara Terveer
We analyze hitting times of simple random walk on realizations of the stochastic block model. We show that under some natural assumptions the hitting time averaged over the target…
Fluctuations of the Magnetization for Ising models on Erdős-Rényi Random Graphs -- the Regimes of Low Temperature and External Magnetic Field
Zakhar Kabluchko, Matthias Löwe, Kristina Schubert
We continue our analysis of Ising models on the (directed) Erdős-Rényi random graph . We prove a quenched Central Limit Theorem for the magnetization and describe the fluct…