“error”? “resisidual”? “objective”? “cost”? “Penalty function” is commonly used in operations research/optimization, and the parameter correction, the “penalty”

“error”? “resisidual”? “objective”? “cost”? “Penalty function” is commonly used in operations research/optimization, and the parameter correction, the “penalty”. There are some conceptual differences with RL as “penalty” is more like a data input, but I think that should be a participle like “punishment” because it implies action by the trainer.