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math.ST2024
Minimax estimation of functionals in sparse vector model with correlated observations
Yuhao Wang, Pengkun Yang, Alexandre B. Tsybakov
We consider the observations of an unknown -sparse vector corrupted by Gaussian noise with zero mean and unknown covariance matrix . We propos…
cs.IT2024
Information-Theoretic Thresholds for the Alignments of Partially Correlated Graphs
Dong Huang, Xianwen Song, Pengkun Yang
This paper studies the problem of recovering the hidden vertex correspondence between two correlated random graphs. We propose the partially correlated Erdős-Rényi graphs model, wh…