objective_distribution

pymc_marketing.mmm.budget_optimizer.objective_distribution(x, method, channels, parameters)

Compute the total contribution for a given budget distribution.

This function calculates the negative sum of contributions for a proposed budget distribution using the Michaelis-Menten model. This value will be minimized in the optimization process to maximize the total expected contribution.

Parameters:

• x (List of float) – The proposed budget distribution across channels.

• channels (List of str) – The List of channels for which the budget is being optimized.

• parameters (Dict) – Michaelis-Menten parameters for each channel as described in calculate_expected_contribution.

Returns:

Negative of the total expected contribution for the given budget distribution.

Return type:

float