Which domain does this problem belong to?
Given a set of products some are classified as cheap and some not. The task is to determine the price range (probabilistic) for cheap products. Supervised classifiers arrive at a function and can classify a new instance but does not provide the range of feature values. This seems like a pattern recognition problem but I am not able to get which class of problems it belongs to.
There might be hundreds of features of the products (price being one of them) and the ask is to identify a profile of products (the range of values for various features) which are mostly classified as cheap. Could this be a rule mining problem?