Example. A sharp two-point transport bound [ftip-00GN]
Example. A sharp two-point transport bound [ftip-00GN]
On \(\mathcal Z=\{a,b\}\), let \(s(a)=1,s(b)=0\), and let \(\mathsf Q(a)=1\), \(\mathsf Q'(a)=1-\eta \), and \(\mathsf Q'(b)=\eta \). The score difference and total variation distance are both \(\eta \).