Predicting new polynomials from known ones

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volican
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Not too sure which forum this would be best suited to. Say I have lots of polynomials that have been obtained through conducting experiments, with the different coefficients in the polynomial representing different physical properties that have been changed in each case. How could I use this data to estimate what the polynomial would be for cases where there has not been an experiment undertaken for those particular physical property values? Would machine learning be used to solve this?
 
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mfb said:
Maybe. There is too much context missing for a clearer answer.
I agree, e.g., are all the polynomials conducted about the same experiments and you want a single one that is the best? If so, what type of measure do you have to determine which is the best, etc.