First efficient sum-of-squares algorithms recover exact and approximate overlapping planted cliques in dense random intersection graphs for k ≫ √(n log n), with robustness to noise, monotone adversaries, and optimal edge corruptions.
On the fourier coefficients of high-dimensional random geometricgraphs.InProceedingsofthe56thAnnualACMSymposiumonTheoryofComputing,STOC 2024, page 549–560, New York, NY, USA, 2024
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Robust Algorithms for Finding Cliques in Random Intersection Graphs via Sum-of-Squares
First efficient sum-of-squares algorithms recover exact and approximate overlapping planted cliques in dense random intersection graphs for k ≫ √(n log n), with robustness to noise, monotone adversaries, and optimal edge corruptions.