Search Results for author: Allan Sly

Found 6 papers, 0 papers with code

Binary perceptron: efficient algorithms can find solutions in a rare well-connected cluster

no code implementations4 Nov 2021 Emmanuel Abbe, Shuangping Li, Allan Sly

It was recently shown that almost all solutions in the symmetric binary perceptron are isolated, even at low constraint densities, suggesting that finding typical solutions is hard.

Proof of the Contiguity Conjecture and Lognormal Limit for the Symmetric Perceptron

no code implementations25 Feb 2021 Emmanuel Abbe, Shuangping Li, Allan Sly

We consider the symmetric binary perceptron model, a simple model of neural networks that has gathered significant attention in the statistical physics, information theory and probability theory communities, with recent connections made to the performance of learning algorithms in Baldassi et al. '15.

Ising model on trees and factors of IID

no code implementations17 Dec 2020 Danny Nam, Allan Sly, Lingfu Zhang

This model is known to be a factor of IID in the uniqueness regime, when the inverse temperature $\beta\ge 0$ satisfies $\tanh \beta \le (d-1)^{-1}$.

Probability Mathematical Physics Dynamical Systems Mathematical Physics 37A35, 37A50, 60G10, 60K35

Optimal Recovery of Block Models with $q$ Communities

no code implementations20 Oct 2020 Byron Chin, Allan Sly

This paper is motivated by the reconstruction problem on the sparse stochastic block model.

Probability Social and Information Networks

Learning Sparse Graphons and the Generalized Kesten-Stigum Threshold

no code implementations13 Jun 2020 Emmanuel Abbe, Shuangping Li, Allan Sly

The problem of learning graphons has attracted considerable attention across several scientific communities, with significant progress over the recent years in sparser regimes.

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