Adding an appropriate condition produces a significantly tighter tail bound for discrete Gaussians on lattices than prior versions of Banaszczyk's inequality.
and Gheorghiu, Vlad and Postlethwaite, Eamonn W
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A Note on Banaszczyk's Inequality
Adding an appropriate condition produces a significantly tighter tail bound for discrete Gaussians on lattices than prior versions of Banaszczyk's inequality.