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20122026
most citedThe Landscape of the Planted Clique Problem: Dense subgraphs and the Overlap Gap Property

23 citations · 149 across the 33 of their papers we have counts for

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Showing 2022Show all

7 papers · 1 filter

math.CO2022★ 1 cited

A second moment proof of the spread lemma

Elchanan Mossel, Jonathan Niles-Weed, Nike Sun +1

This note concerns a well-known result which we term the ``spread lemma,'' which establishes the existence (with high probability) of a desired structure in a random set. The sprea…

math.CO2022

On the Second Kahn--Kalai Conjecture

Elchanan Mossel, Jonathan Niles-Weed, Nike Sun +1

For any given graph , we are interested in , the minimal such that the Erdős-Rényi graph contains a copy of with probability at least .…

math.ST2022★ 1 cited

Archimedes Meets Privacy: On Privately Estimating Quantiles in High Dimensions Under Minimal Assumptions

Omri Ben-Eliezer, Dan Mikulincer, Ilias Zadik

The last few years have seen a surge of work on high dimensional statistics under privacy constraints, mostly following two main lines of work: the ``worst case'' line, which does…

stat.ML2022★ 6 cited

Statistical and Computational Phase Transitions in Group Testing

Amin Coja-Oghlan, Oliver Gebhard, Max Hahn-Klimroth +2

We study the group testing problem where the goal is to identify a set of k infected individuals carrying a rare disease within a population of size n, based on the outcomes of poo…

math.ST2022★ 11 cited

The Franz-Parisi Criterion and Computational Trade-offs in High Dimensional Statistics

Afonso S. Bandeira, Ahmed El Alaoui, Samuel B. Hopkins +3

Many high-dimensional statistical inference problems are believed to possess inherent computational hardness. Various frameworks have been proposed to give rigorous evidence for su…

cs.DS2022

Almost-Linear Planted Cliques Elude the Metropolis Process

Zongchen Chen, Elchanan Mossel, Ilias Zadik

A seminal work of Jerrum (1992) showed that large cliques elude the Metropolis process. More specifically, Jerrum showed that the Metropolis algorithm cannot find a clique of size…