The present teaching relates to method, system, and medium for cross network communications. Information related to an application running on a user device is first received, which includes a state of the application and sensor data obtained with respect to a user interacting with the application on the user device. A request is sent to an application server for an instruction of a state transition of the application. A light weight model (LWM) for an object involved in the state transition is received and is personalized based on at least one of the sensor data and one or more preferences related to the user to generate a personalized model (PM) for the object, which is then sent to the user device.