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math.PR2026
On associative neural networks for sparse patterns with huge capacities
Matthias Löwe, Franck Vermet
Generalized Hopfield models with higher-order or exponential interaction terms are known to have substantially larger storage capacities than the classical quadratic model. On the…
math.PR2019
Multi-group Binary Choice with Social Interaction and a Random Communication Structure -- a Random Graph Approach
Matthias Löwe, Kristina Schubert, Franck Vermet
We construct and analyze a random graph model for discrete choice with social interaction and several groups of equal size. We concentrate on the case of two groups of equal sizes…