Methods, systems and apparatus for calibrating data using relaxed benchmark constraints

A tangible machine-readable storage medium comprising instructions that, when executed, cause a processor to at least:

• execute a calibration model based on matrix data, a target loss function, a weight loss function, and a budget parameter, the calibration model having relaxed benchmark constraints, the matrix data based on criteria-based input data to be incorporated into the target loss function and unit-based input data to be incorporated into the weight loss function;
• determine calibrated weights resulting from the execution of the calibration model;
• and
• incorporate a stability parameter into the calibration model in response to determining that the calibrated weights do not provide a unique solution for the executed calibration model, the stability parameter to reduce an influence of the budget parameter on the calibration model to enable the generation of a unique solution.

A method for generating a unique solution when calibrating data via a calibration model having relaxed benchmark constraints, the method comprising:

• executing, by executing one or more computer readable instructions with a processor, the calibration model based on matrix data, a target loss function, a weight loss function, and a budget parameter, the matrix data based on criteria-based input data to be incorporated into the target loss function and unit-based input data to be incorporated into the weight loss function;
• determining, by executing one or more computer readable instructions with the processor, calibrated weights resulting from the executing of the calibration model;
• and
• incorporating, by executing one or more computer readable instructions with the processor, a stability parameter into the calibration model in response to determining that the calibrated weights do not provide a unique solution for the executed calibration model, the stability parameter to reduce an influence of the budget parameter on the calibration model to enable the generation of a unique solution.