System identification, estimation, and prediction of advertising-related data

A computer-implemented method for analyzing online advertisement-related data, the method comprising:

• receiving data related to an aspect of an online advertisement;
• modeling the aspect of the online advertisement with a mathematical model, comprising a control-signal-related component and a control-signal-independent, time-based periodic component;
• updating the control-signal-related component of the mathematical model based on at least one of a control signal related to the received data, the received data, and a previous state of the control-signal-related component;
• updating the control-signal-independent, time-based periodic component of the mathematical model based on at least one of the received data and a previous state of the control-signal-independent, time-based periodic component;
• generating an updated model of the aspect of the online advertisement based on the updated control-signal-related component and the updated control-signal-independent, time-based periodic component;
• and
• predicting a future state of the aspect of the online advertisement using the updated model.

A system for analyzing online advertisement-related data, the system comprising:

• a plant estimation module that:
• receives data related to an aspect of an online advertisement;
• models the aspect of the online advertisement with a mathematical model, wherein the mathematical model comprises a control-signal-related component, and a control-signal-independent, time-based periodic component;
• and
• updates each component of the mathematical model based on at least one of a control signal related to the received data, the received data, and a previous state of at least one of the components, to create an updated model;
• and
• a control module that predicts a future state of the aspect of the online advertisement using the updated model.

A system for analyzing online advertisement-related data, the system comprising:

• a plant estimation module that:
• receives data related to an aspect of an online advertisement;
• models the aspect of the online advertisement with a mathematical model, comprising a control-signal-related component and a control-signal-independent, time-based periodic component;
• updates the control-signal-related component of the mathematical model based on at least one of a control signal related to the received data, the received data, and a previous state of the control-signal-related component;
• updates the control-signal-independent, time-based periodic component of the mathematical model based on at least one of the received data and a previous state of the control-signal-independent, time-based periodic component;
• and
• generates an updated model of the aspect of the online advertisement based on the updated control-signal-related component and the updated control-signal-independent, time-based periodic component;
• and
• a control module that predicts a future state of the aspect of the online advertisement using the updated model.

A computer-implemented method for analyzing online advertisement-related data, the method comprising:

• receiving data related to an aspect of an online advertisement;
• modeling the aspect of the online advertisement with a mathematical model, wherein the mathematical model comprises a control-signal-related component, and a control-signal-independent, time-based periodic component;
• updating each component of the mathematical model based on at least one of a control signal, the received data, and a previous state of at least one of the components, to create an updated model;
• and
• predicting a future state of the aspect of the online advertisement using the updated model,
• wherein the received data comprises a probability that an impression of the online advertisement will result in a conversion.

A computer-implemented method for analyzing online advertisement-related data, the method comprising:

• receiving data related to an aspect of an online advertisement;
• modeling the aspect of the online advertisement with a mathematical model, wherein the mathematical model comprises a control-signal-related component, and a control-signal-independent, time-based periodic component;
• updating each component of the mathematical model based on at least one of a control signal, the received data, and a previous state of at least one of the components, to create an updated model;
• and
• predicting a future state of the aspect of the online advertisement using the updated model,
• wherein the received data comprises a probability that a selection of the online advertisement by a user will result in a conversion.

A computer-implemented method for analyzing online advertisement-related data, the method comprising:

• modeling an aspect of an online advertisement with a mathematical model, wherein the mathematical model comprises a control-signal-related component, and a control-signal-independent, time-based periodic component;
• receiving data related to the aspect of the online advertisement;
• predicting a future state of the aspect of the online advertisement, based on the mathematical model and the received data;
• and
• allocating advertising space among available online advertisements based on the predicted future state of the aspect of the online advertisement.

A computer-implemented method for analyzing online advertisement-related data, the method comprising:

• modeling an aspect of an online advertisement with a mathematical model, wherein the mathematical model comprises a control-signal-related component, and a control-signal-independent, time-based periodic component;
• receiving data related to the aspect of the online advertisement;
• predicting a future level of the aspect of the online advertisement, based on the mathematical model and the received data;
• and
• choosing a control signal value based on a desired level for the aspect and the predicted future level of the aspect.