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Supplementary Contents

Neural Information Processing Systems

Theauthors T admits singularvalue( i, i, i)i2I forsomeI, with1= 0 1 .. , i :X!Rand i :Z!R, i.e.T i = i iandT i = i i. Moreo T operatoras: Th= X Figure 5: Estimated rbfkernelwith =.1and1000samples. Thentheestimatorpresented in Equation(4), satisfiesthatw.p.1 : kT(ห†h h0)k2 O r rs log (pn) n + r log ( 1/ ) n !



UncertaintyCalibrationforEnsemble-Based DebiasingMethods

Neural Information Processing Systems

A growing body of literature recognizes debiasing as an important direction in machine learning and natural language processing [38; 3; 4; 34].