Finding hidden cliques of size \(\sqrt{N/e}\) in nearly linear time

From MaRDI portal
Publication:896557

DOI10.1007/s10208-014-9215-yzbMath1347.05227arXiv1304.7047OpenAlexW2962704928MaRDI QIDQ896557

Yash Deshpande, Andrea Montanari

Publication date: 10 December 2015

Published in: Foundations of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.7047



Related Items

Tensor clustering with planted structures: statistical optimality and computational limits, Computational barriers to estimation from low-degree polynomials, Asymptotic Optimality of Constant-Order Policies for Lost Sales Inventory Models with Large Lead Times, High dimensional robust M-estimation: asymptotic variance via approximate message passing, Estimation of low-rank matrices via approximate message passing, Fundamental limits of weak recovery with applications to phase retrieval, Guaranteed recovery of planted cliques and dense subgraphs by convex relaxation, A Simple SVD Algorithm for Finding Hidden Partitions, Notes on computational-to-statistical gaps: predictions using statistical physics, Constrained low-rank matrix estimation: phase transitions, approximate message passing and applications, Parallel tempering for the planted clique problem, The Average-Case Complexity of Counting Cliques in Erdös--Rényi Hypergraphs, Submatrix localization via message passing, The likelihood ratio test in high-dimensional logistic regression is asymptotically a rescaled Chi-square, Recovering a hidden community beyond the Kesten–Stigum threshold in O(|E|log*|V|) time, Finding a planted clique by adaptive probing, Convex optimization for the densest subgraph and densest submatrix problems, Universality of approximate message passing algorithms, On the computational tractability of statistical estimation on amenable graphs, Superlogarithmic Cliques in Dense Inhomogeneous Random Graphs, The committee machine: computational to statistical gaps in learning a two-layers neural network, Consistency of spectral clustering in stochastic block models, Sparsistency and agnostic inference in sparse PCA, Notes on computational hardness of hypothesis testing: predictions using the low-degree likelihood ratio, A Unifying Tutorial on Approximate Message Passing, Mismatching as a tool to enhance algorithmic performances of Monte Carlo methods for the planted clique model, Planted Dense Subgraphs in Dense Random Graphs Can Be Recovered using Graph-based Machine Learning, Robust and computationally feasible community detection in the presence of arbitrary outlier nodes, Computational barriers in minimax submatrix detection, Do semidefinite relaxations solve sparse PCA up to the information limit?


Uses Software


Cites Work