The detectability radius for adversarial corruption of Gaussian data is approximately twice the scaled Gaussian width of the adversary's trick set T when T is highly symmetric.
Ingster, Minimax detection of a signal in ℓp metrics, Journal of Mathematical Sciences 68 (1994), 503–515
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The detectability radius for adversarial corruption of Gaussian data is approximately twice the scaled Gaussian width of the adversary's trick set T when T is highly symmetric.