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have cfxetx y.me kex Apply it on e Sphinx's scp.gs Earing Apply it again for fixed x pg Them 3 81 EKAqkx.cm For Pan's 2 2 Scg Hpged ymeagedEpercAqfD Hyundai Proof 2 sgcxDTkcx.xblsqcxg Faxing Usg Scg g sgcxDEE.mil xs fgcxYkkcxi3 kc x's c CExksi sobkca.D.Ex.kc.MG'D
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Hsg Splbe f Eg ercaqtif E.pk se Spi't for Nfl bed El Kemelbed version MMD 2 Hf bee 13 Efef Egf Egf kcxixsekcy.ys zkcx.gs Ex Cureton 10 E y y the Notice that e 0 Ey y ng Ust Y Y'I 2UqCx y is Thus RSD stem from identity asymmetric kernel Uq a MMD wth test 2 sample MMD Goodness of FM test KSD
Some results asymptotic A normal For ptg asymtotically d Nco of Icp q Jn Scp q1 Emp Ugc Xi X 0 where tu Vern oof o For f q d insipid 95955 i a Gaussian edgen All standard results V of stat Me
A Universal Approximation Thm Luk Lu of DNN for expressing distributions 2020 MMDCp.at Eggs I Ept Eat 1 O Tha f F f KSDlp.ak fffg.ge Ep O Thru 4 i EE Sa Then there R na Xi realizations of Pn fo Monty sie exBfs Arequelites hold for Nefstadt i Cq D W Cpn a d E 2 Cigs n ta d 3 c for pd bounded k pumpkin 1 me
for k Las bdd derivatives L Lip wth Thia sub Gaussian smooth a C Fdn E KS DC Pn a understand above results Or you as can holds for as C least I S with prob at independent of n Proof Well known Sketch of 2 127 l a the llfkcxisd.tk K MMD Pma Here Sriperumbudur if X ie Xn surve ya or Y satisfies 14C Xin Xi Xn xD YC x Xi sMk Then from 2nT e with prob I e McDiarmid's Ineq Hoeffdly type H f ke E x dik t a Hae
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