1. A method comprising: calculating, using a processing device, an unbiased estimation of a plurality of independent model intercepts based on a state space model associated with a manufacturing facility; determining whether to perform a pilot run in the manufacturing facility; upon determining that the pilot run is to be performed, generating an indication that the pilot run is to be performed; receiving pilot run data in response to the pilot run being performed; and updating the state space model based on the received pilot run data.