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- Aurelien Decelle, Florent Krzakala, Cristopher Moore, Lenka Zdeborová
- Physical review. E, Statistical, nonlinear, and…
- 2011

In this paper we extend our previous work on the stochastic block model, a commonly used generative model for social and biological networks, and the problem of inferring functional groups or communities from the topology of the network. We use the cavity method of statistical physics to obtain an asymptotically exact analysis of the phase diagram. We… (More)

We present an asymptotically exact analysis of the problem of detecting communities in sparse random networks. Our results are also applicable to detection of functional modules, partitions, and colorings in noisy planted models. Using a cavity method analysis, we unveil a phase transition from a region where the original group assignment is undetectable to… (More)

- Lenka Zdeborová, Aurélien Decelle, Michael Chertkov
- Physical review. E, Statistical, nonlinear, and…
- 2009

We use a power grid model with M generators and N consumption units to optimize the grid and its control. Each consumer demand is drawn from a predefined finite-size-support distribution, thus simulating the instantaneous load fluctuations. Each generator has a maximum power capability. A generator is not overloaded if the sum of the loads of consumers… (More)

- Aurélien Decelle
- 2011

- Aurelien Decelle, Janina Hüttel, Alaa Saade, Cristopher Moore
- ArXiv
- 2014

These are notes from the lecture of Cristopher Moore given at the autumn school

- Shogo Yamanaka, Masayuki Ohzeki, Aurelien Decelle
- ArXiv
- 2014

We expand the item response theory to study the case of " cheating students " for a set of exams , trying to detect them by applying a greedy algorithm of inference. This extended model is closely related to the Boltzmann machine learning. In this paper we aim to infer the correct biases and interactions of our model by considering a relatively small number… (More)

- Michele Castellana, Aurélien Decelle, Elia Zarinelli
- Physical review letters
- 2011

We study the probability distribution of the pseudocritical temperature in a mean-field and in a short-range spin-glass model: the Sherrington-Kirkpatrick and the Edwards-Anderson (EA) model. In both cases, we put in evidence the underlying connection between the fluctuations of the pseudocritical point and the extreme value statistics of random variables.… (More)

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