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math.PR2019★ 6 cited
Modified log-Sobolev inequalities and two-level concentration
Holger Sambale, Arthur Sinulis
We consider a generic modified logarithmic Sobolev inequality (mLSI) of the form for some difference operator , and s…
math.PR2019★ 35 cited
Concentration inequalities for polynomials in -sub-exponential random variables
Friedrich Götze, Holger Sambale, Arthur Sinulis
In this work we derive multi-level concentration inequalities for polynomial functions in independent random variables with a -sub-exponential tail decay. A particularly interes…