In behavioural psychology the antonym is "punish". There are positive/negative axes (whether a stimulus is added or removed) and reinforcement/punishment axes (whether the consequence is desired).
Negative reinforcement is what boot camp uses. If you square your corners, you won't get shouted at. The "negative" aspect relates to the lack of shouting, and the reinforcement relates to the fact that the shouting is unpleasant.
At home, positive punishment would be making fun of the tendencies, and negative punishment would have meant receiving no validation for the behaviour.