658 citations · 2.2k across the 187 of their papers we have counts for
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Robust Optimality of Gaussian Noise Stability
Elchanan Mossel, Joe Neeman
We prove that under the Gaussian measure, half-spaces are uniquely the most noise stable sets. We also prove a quantitative version of uniqueness, showing that a set which is almos…
Asymptotic Learning on Bayesian Social Networks
Elchanan Mossel, Allan Sly, Omer Tamuz
Understanding information exchange and aggregation on networks is a central problem in theoretical economics, probability and statistics. We study a standard model of economic agen…
Geometric Influences II: Correlation Inequalities and Noise Sensitivity
Nathan Keller, Elchanan Mossel, Arnab Sen
In a recent paper, we presented a new definition of influences in product spaces of continuous distributions, and showed that analogues of the most fundamental results on discrete…
Robust dimension free isoperimetry in Gaussian space
Elchanan Mossel, Joe Neeman
We prove the first robust dimension free isoperimetric result for the standard Gaussian measure and the corresponding boundary measure in . The main re…
Stochastic Block Models and Reconstruction
Elchanan Mossel, Joe Neeman, Allan Sly
The planted partition model (also known as the stochastic blockmodel) is a classical cluster-exhibiting random graph model that has been extensively studied in statistics, physics,…