7 papers
Towards an Intrinsic Definition of Robustness for a Classifier
Théo Giraudon, Vincent Gripon, Matthias Löwe +1
The robustness of classifiers has become a question of paramount importance in the past few years. Indeed, it has been shown that state-of-the-art deep learning architectures can e…
A Central Limit Theorem for the mean starting hitting time for a random walk on a random graph
Matthias Löwe, Sara Terveer
We consider simple random walk on a realization of an Erdős-Rényi graph that is asymptotically almost surely (a.a.s.) connected. We show a Central Limit Theorem (CLT) for the avera…
Fluctuations of the Magnetization for Ising Models on Erdős-Rényi Random Graphs -- the Regimes of Small p and the Critical Temperature
Zakhar Kabluchko, Matthias Löwe, Kristina Schubert
We continue our analysis of Ising models on the (directed) Erdős-Rényi random graph. This graph is constructed on vertices and every edge has probability to be present. The…
Fluctuations of the Magnetization for Ising Models on Dense Erdős-Rényi Random Graphs
Zakhar Kabluchko, Matthias Löwe, Kristina Schubert
We analyze Ising/Curie-Weiss models on the (directed) Erdős-Rényi random graph on vertices in which every edge is present with probability . These models were introduced by…
Equi-Energy sampling does not converge rapidly on the mean-field Potts model with three colors close to the critical temperature
Mirko Ebbers, Matthias Löwe
Equi-Energy Sampling (EES, for short) is a method to speed up the convergence of the Metropolis chain, when the latter is slow. We show that there are still models like the mean-fi…
Fluctuation results for general block spin Ising models
Holger Knöpfel, Matthias Löwe, Kristina Schubert +1
We study a block spin mean-field Ising model, i.e. a model of spins in which the vertices are divided into a finite number of blocks with each block having a fixed proportion of ve…