Methods, systems and apparatus to improve multi-demographic modeling efficiency

-20. (canceled)

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

• reduce multi-demographic model iterations by enumerating demographic combinations for households that access at least one of a plurality of features represented in training data, the enumerated demographic combinations including an identifier, the identifier to represent a combination of two or more demographic categories and to include cartesian representations corresponding to occurrences or non-occurrences of a demographic category of interest, the demographic category of interest to be selected from the two or more demographic categories;
• and
• generate probability values for ones of the enumerated demographic combinations based on training coefficients, the probability values to represent likelihoods that the ones of the enumerated demographic combinations accessed the at least one of the plurality of features, the training coefficients corresponding to the ones of the enumerated demographic combinations, the ones of the enumerated demographic combinations associated with (a) a training model and (b) a third-party model.

An apparatus to reduce computational resources for a multi-demographic training model, comprising:

• means for reducing multi-demographic model iterations by enumerating demographic combinations for households that access at least one of a plurality of features represented in training data, the enumerated demographic combinations including an identifier, the identifier to represent a combination of two or more demographic categories and to include cartesian representations corresponding to occurrences or non-occurrences of a demographic category of interest, the demographic category of interest to be selected from the two or more demographic categories;
• and
• means for modeling to generate probability values for ones of the enumerated demographic combinations based on training coefficients, the probability values to represent likelihoods that the ones of the enumerated demographic combinations accessed the at least one of the plurality of features, the training coefficients corresponding to the ones of the enumerated demographic combinations, the ones of the enumerated demographic combinations associated with (a) a training model and (b) a third-party model.