In my experience you need to have customers in your data you can identify as having actually churned (become inactive). That means you will probably need at least two years of customer history. I would start by creating a churn flag with the first year of data by going through each month and flagging those customers who churned in the following 12 months.
By identifying actual churners you can use this indicator, which beomes the predictor, to train your model.
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Use this tutorial as a handy guide to weigh the pros and cons of these commonly used machine learning algorithms.
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