Tree-based algorithms are a class of useful, versatile, and popular tools in data mining and machine learning. Indeed, tree aggregation methods, such as random forests, are among the most powerful approaches to boost the performance of predictions. In this article, we apply tree-based methods to model and predict discrete data, using a highly flexible model. Inflation may occur in discrete data at some specific points such as zero, one or the others. We may even have inflation at two non-adjacent points or more. We use some recently introduced models for inflated data sets based on a common discrete family (the Power series models). The main idea of this article is to use zero to k (k=0, 1, ...) inflated regression models based on the family of power series to fit decision regression trees and random forests. An important point of these models is that they can be used not only for inflated discrete data but also for non-inflated discrete data.

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