Parker Knight

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math.ST2026

Minimax optimal submatrix detection: Sharp non-asymptotic rates

Parker Knight, Julien Chhor

Given an observation $Y \in R^{d_{1} \times d_{2}}$ from the model $Y = X + E$ where $X$ is constant and $E$ has i.i.d. $N (0, 1)$ …

math.ST2025

Optimal community detection in dense bipartite graphs

Julien Chhor, Parker Knight

We consider the problem of detecting a community of densely connected vertices in a high-dimensional bipartite graph of size $n_{1} \times n_{2}$ . Under the null hypothesis, the observ…