To make something regular, consistent, or conforming to a standard. The government plans to regularize the process to ensure fairness and transparency.
To bring something into conformity with rules or regulations. The company had to regularize its operations to comply with the new environmental laws.
To make something official or legal. They decided to regularize their relationship by getting married.
(mathematics, statistics) To apply a transformation or penalty that stabilizes or simplifies an ill-posed or over-parameterized problem. To avoid overfitting, we regularize the loss function with an L1 penalty.