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Modeling the Price Movement- What analysis should be used

I am trying to model the price of a hotel as the check-in date arrives. I have a data set which looks like- For e.g- if I am looking at the booking date of Dec 31st, I would want to analyze the ...
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How to derive suggestions for categories from data?

With freely available pretrained models like GloVe, classification has become quite easy. But where to start if I do not know which categories are there? In the example linked above we "suggest" ...