MotherTree: Meta-learning on synthetic data improves decision tree training
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Abstract (arXiv)
Conventional decision tree algorithms produce effective, transparent models that can be audited, communicated, and deployed independently of the training data, but require learning every new task from scratch. In contrast, tabular foundation models demonstrate that meta-learning from a synthetic prior distribution enables strong in-context prediction for previously unseen tasks, especially in small-sample regimes. However, this approach does not produce a standalone model that can be inspected in isolation. We introduce MotherTree, a tabular transformer that meta-learns decision tree induction: given a training set for a new task, it outputs a hard, axis-aligned decision tree, equivalent in form to classically trained trees, in a single forward pass. MotherTree is pre-trained on a synthetic prior using stochastic gradient descent without requiring reference trees for supervision. On established benchmarks with controlled sample size, the approach is competitive with size-matched trees from common algorithms: recursive partitioning, gradient-based tree learning, globally optimal trees, and distillation from tabular foundation models. Notably, MotherTree consistently improves over from-scratch gradient-based learning and acts as a strong initializer: task-specific tuning of the generated tree outperforms the corresponding from-scratch learner on all benchmarks and sample sizes. These results show that meta-learning can provide effective inductive biases for learning stand-alone, small decision tree classifiers.
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References · 10
- 2015Distilling the Knowledge in a Neural Networkcited by 10,076
- 2017Decoupled Weight Decay Regularizationcited by 1,722
- 2017Distilling a Neural Network Into a Soft Decision Treecited by 230
- 2017OpenML Benchmarking Suitescited by 169
- 2018Deep Neural Decision Treescited by 72
- 2022POETREE: Interpretable Policy Learning with Adaptive Decision Treescited by 14
- 2026Beyond IID: How General Are Tabular Foundation Models, Really?cited by 10
- 2022A Survey of Neural Treescited by 7
- 2026TabPFN-3: Technical Reportcited by 4
- 2025Learning Decision Trees as Amortized Structure Inferencecited by 2
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- 2025Towards Scalable Meta-Learning of near-optimal Interpretable Models via Synthetic Model Generations
- 2025Talking Trees: Reasoning-Assisted Induction of Decision Trees for Tabular Data
- 2025Decision Trees That Remember: Gradient-Based Learning of Recurrent Decision Trees with Memory
- 2026Trees to Flows and Back: Unifying Decision Trees and Diffusion Models
- 2026FORESTLLM: Large Language Models Make Random Forest Great on Few-shot Tabular Learning
- 2024GPTree: Towards Explainable Decision-Making via LLM-powered Decision Trees
- 2025Leveraging Predictive Equivalence in Decision Trees
- 2022TabPFN: A Transformer That Solves Small Tabular Classification Problems in a Second