Example. Train and evaluation laws can reverse a ranking [ftip-00GL]

Let \(\mathsf Q_{\rm tr}\) put masses \(.9,.1\) on \(a,b\), and let \(\mathsf Q_{\rm ev}\) swap them. Artifacts \(M_1,M_0\) with score vectors \((s_{M_1}(a),s_{M_1}(b))=(1,0)\) and \((s_{M_0}(a),s_{M_0}(b))=(0,1)\) rank oppositely under the two laws. A training score is not an evaluation transport certificate.