An optimization apparatus (100) includes a setting unit (110) that sets a predetermined non-linear objective function, a policy determination unit (120) that determines a policy to be executed in online optimization in a bandit problem, based on the non-linear objective function, a policy execution unit (130) that acquires a reward as an execution result of the determined policy, an update rate determination unit (140) that determines an update rate of the non-linear objective function by a multiplicative weight update method, based on the acquired reward and the non-linear objective function, and an update unit (150) that updates the non-linear objective function, based on the update rate.