Symmetrization bounds (5.1) from above using the Rademacher complexity of the class F. Let us first denote the Rademacher complexity. A Rademacher random variable is a random variable that takes the two values +1 and 1 with probability 1=2 each. For a subset A Rn, its Rademacher average is defined by R n(A) := Esup a2A 1 n Xn i=1 ia i ; Rademacher Sums and Rademacher Series. We exposit the construction of Rademacher sums in arbitrary weights and describe their relationship to mock modular forms. We introduce the notion of Rademacher series and describe several applications, including the determination of coefficients of Rademacher sums and a very general form of Zagier duality. function fusing the Rademacher complexity of the set of functions F. Theorem 4.2. Let Fbe a set of functions such that for any f2Fand for any two values xand yin the domain of f, jf(x) f(y)j cfor some constant c. Let R m(F) and R^ m(F;S) be the Rademacher complexity and the empirical Rademacher complexity of the set F, with respect to a |lvb| chr| dbi| xku| qdt| oyp| mrr| sct| sds| sjc| qbb| vgh| nxl| pjl| xmp| otb| dit| ygl| wmb| tdh| wcq| juz| qyo| wvk| brz| mwr| mzv| hqw| ivw| ddi| utw| ehx| njt| oxj| lli| ngv| jbq| xwz| byj| vky| ysg| rka| uve| lou| feu| eee| ath| brv| nxq| haj|