Teaching a model to say "I don't know": a separate answer selector beats retraining the policy, lifting TriviaQA coverage from 20.2% to 30.9%
On factual question answering with Qwen3-14B, keeping the generator fixed and training a separate answer selector works better than training the model itself when to abstain. On TriviaQA the selector raises mean coverage from 20.2% under the original calibrated confidence filter to 30.9%, while pooled error among scored answers falls from 23.0% to 14.5%; on NQ-Open its mean utility still stays below always abstaining, so reliable cross-dataset abstention remains unresolved.