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math.ST2026
Sharp minimax risks and phase transitions in sparse submatrix detection
Subhajit Goswami, Rajarshi Mukherjee
We study the minimax risk for detecting a sparse elevated-mean Gaussian submatrix inside a larger noisy matrix. When the planted submatrix has size and the ambient matr…
math.PR2026
Critical level-set percolation on finite graphs and spectral gap
Subhajit Goswami, Dipranjan Pal
We study the bond percolation on finite graphs induced by the level-sets of zero-average Gaussian free field on the associated metric graph above a given height (level) parameter $…