... weight vector w, takes in a foreign sen-tence f and returns a translated hypothesis h. Theargmax operates in vector space and our goal is to find w leading to hypotheses on the Pareto Frontier.In ... =FindParetoFrontier({M(h)})8: foreach h ∈ {h}:if h ∈ {f}, set l=1, else l=0; Add (l, h) to T9: end for 10: w∗=OptimizationSubroutine(T , w)11: Add w∗ to W; Set w = w∗.12: end for 13: ... FindParetoFrontier({M(w)})ble results for PMO-PRO: for non-pareto hypothe-ses h /∈ {f}, we set label l =kMk(h)/K in-stead of l= 0, so the method not only learns to dis-criminate pareto vs....