Training a large language model (LLM) by on several tasks gives each task a main score and extra scores that are supposed to matter only for responses that already pass the main score. Standard advantage estimators treat every score equally, so an extra score can overturn the main score, or act alone whenever main scores are tied.
The authors propose CONCUR, a small adjustment to the estimator. It rewrites each extra score so that a response with a higher main score never receives a lower extra score, and responses at the main score's ceiling are scored equally. Fixed and adaptive variants handle auxiliaries that mostly agree with the main score differently.
Across math, code, instruction-following, and writing tasks, and several model families, CONCUR scored more than four points higher on average than the original estimator or than dropping extra scores. It preserves the main task's signal while still using what auxiliary scores reward.
