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I have a set of features as follows:

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Where gift is categorical features and value of gift is value of the gift (numerical features). Both are the promotion. The objective is that I would like to forecast the sale for next day (or week).

My idea is embedding gift and value of gift into one vector (I call: Promotional characteristics), then It will be the new feature. I will use this features and sale to forecast.

Will my idea be correct and if possible, what is the technique to embedding gift and value of gift into one vectors?

Sherry
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