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41 We start by showing that ψ21∧ϕ12≍ψ21∧˜ϕ12

For anys1,s 2,d 1,d 2, we let ˜ϕ12 = d1 s2 1 log ( 1 +d2 s2 2 )

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Minimax optimal submatrix detection: Sharp non-asymptotic rates

math.ST · 2026-05-10 · unverdicted · novelty 7.0

Sharp non-asymptotic minimax rates are derived for submatrix detection in Gaussian matrices, with matching upper and lower bounds on the critical signal strength μ* for all parameter configurations.

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  • Minimax optimal submatrix detection: Sharp non-asymptotic rates math.ST · 2026-05-10 · unverdicted · none · ref 12

    Sharp non-asymptotic minimax rates are derived for submatrix detection in Gaussian matrices, with matching upper and lower bounds on the critical signal strength μ* for all parameter configurations.