Tree smoothing: Post-hoc regularization of tree ensembles for interpretable machine learning

Random Forests (RFs) are powerful ensemble learning algorithms that are widely used in various machine learning tasks. However, they tend to overfit noisy or irrelevant features, which can result in decreased generalization performance. Post-hoc regularization techniques aim to solve this problem by modifying the structure of the learned ensemble after training. We propose a novel post-hoc regularization via tree smoothing for classification tasks to leverage the reliable class distributions closer to the root node whilst reducing the impact of more specific and potentially noisy splits deeper in the tree. Our novel approach allows for a form of pruning that does not alter the general structure of the trees, adjusting the influence of nodes based on their proximity to the root node. We evaluated the performance of our method on various machine learning benchmark data sets and on cancer data from The Cancer Genome Atlas (TCGA). Our approach demonstrates competitive performance compared to the state-of-the-art and, in the majority of cases, and outperforms it in most cases in terms of prediction accuracy, generalization, and interpretability. • A novel post-regulation technique for Tree Ensembles called BBTS is introduced. • Interpretability is improved through posterior distributions in the leaf nodes. • This method allows the incorporation of domain knowledge through prior beliefs. • It was tested using ML benchmarks and real-world cancer data from the TCGA database. • BBTS has proven itself with the state-of-the-art and exceeds them on real-world cancer data.