Hidden Clique Inference in Random Ising Model I: the planted random field Curie-Weiss model

Yihan He, Han Liu, Jianqing Fan

We study the problem of testing and recovering the hidden $k$-clique Ferromagnetic correlation in the planted Random Field Curie-Weiss model (a.k.a. the pRFCW model). The pRFCW mod…