Learning Decision Trees as Amortized Structure Inference

Fuente: arXiv
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Autores principales: Mahfoud, Mohammed, Boukachab, Ghait, Koziarski, Michał, Hernandez-Garcia, Alex, Bauer, Stefan, Bengio, Yoshua, Malkin, Nikolay
Formato: Preprint
Publicado: 2025
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author Mahfoud, Mohammed
Boukachab, Ghait
Koziarski, Michał
Hernandez-Garcia, Alex
Bauer, Stefan
Bengio, Yoshua
Malkin, Nikolay
author_facet Mahfoud, Mohammed
Boukachab, Ghait
Koziarski, Michał
Hernandez-Garcia, Alex
Bauer, Stefan
Bengio, Yoshua
Malkin, Nikolay
contents Building predictive models for tabular data presents fundamental challenges, notably in scaling consistently, i.e., more resources translating to better performance, and generalizing systematically beyond the training data distribution. Designing decision tree models remains especially challenging given the intractably large search space, and most existing methods rely on greedy heuristics, while deep learning inductive biases expect a temporal or spatial structure not naturally present in tabular data. We propose a hybrid amortized structure inference approach to learn predictive decision tree ensembles given data, formulating decision tree construction as a sequential planning problem. We train a deep reinforcement learning (GFlowNet) policy to solve this problem, yielding a generative model that samples decision trees from the Bayesian posterior. We show that our approach, DT-GFN, outperforms state-of-the-art decision tree and deep learning methods on standard classification benchmarks derived from real-world data, robustness to distribution shifts, and anomaly detection, all while yielding interpretable models with shorter description lengths. Samples from the trained DT-GFN model can be ensembled to construct a random forest, and we further show that the performance of scales consistently in ensemble size, yielding ensembles of predictors that continue to generalize systematically.
format Preprint
id arxiv_https___arxiv_org_abs_2503_06985
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Learning Decision Trees as Amortized Structure Inference
Mahfoud, Mohammed
Boukachab, Ghait
Koziarski, Michał
Hernandez-Garcia, Alex
Bauer, Stefan
Bengio, Yoshua
Malkin, Nikolay
Machine Learning
Building predictive models for tabular data presents fundamental challenges, notably in scaling consistently, i.e., more resources translating to better performance, and generalizing systematically beyond the training data distribution. Designing decision tree models remains especially challenging given the intractably large search space, and most existing methods rely on greedy heuristics, while deep learning inductive biases expect a temporal or spatial structure not naturally present in tabular data. We propose a hybrid amortized structure inference approach to learn predictive decision tree ensembles given data, formulating decision tree construction as a sequential planning problem. We train a deep reinforcement learning (GFlowNet) policy to solve this problem, yielding a generative model that samples decision trees from the Bayesian posterior. We show that our approach, DT-GFN, outperforms state-of-the-art decision tree and deep learning methods on standard classification benchmarks derived from real-world data, robustness to distribution shifts, and anomaly detection, all while yielding interpretable models with shorter description lengths. Samples from the trained DT-GFN model can be ensembled to construct a random forest, and we further show that the performance of scales consistently in ensemble size, yielding ensembles of predictors that continue to generalize systematically.
title Learning Decision Trees as Amortized Structure Inference
topic Machine Learning
url https://arxiv.org/abs/2503.06985