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I have done all the feature engineering and am ready to start making a machine learning model that predicts the type of variable star based on its light curve. I have broken down this light curve into a series of points such as:

x, y (Time, brightness)

384, 12; 293, 43; 349, 12.

I'm hoping that the model will be able to classify the type of variable based on the shape of the light curve (which varies based on the type of variable star:)

Variable Light Curves

But to do this, will I have to take a cross-product, or square the terms, or take the tangent of the terms? Or do I simply leave them as-is, and make a simple linear regression model? My guess is to cross-product, but I don't know if I should simply leave the cross-product term in there or add the time and brightness term for a total of 3 features.

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