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GRANDE: Gradient-Based Decision Tree Ensembles for Tabular Data
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Proposes GRANDE, an end-to-end gradient-descent method learning hard, axis-aligned decision tree ensembles with softsign split activation and instance-wise leaf weighting, evaluated on 19 OpenML binary classification datasets.
Problem
Tabular data remains dominated by tree ensembles (XGBoost, CatBoost); gradient-based methods for tabular data are less accurate and typically use soft or oblique splits that are biased toward smooth functions.
Approach
Extends GradTree's dense straight-through hard-tree formulation from single trees to weighted ensembles, replaces sigmoid/entmoid split functions with a scaled softsign, and learns a per-leaf weight for each estimator so each sample gets instance-wise estimator weights.
Key results
- With optimized hyperparameters GRANDE achieves the highest normalized mean (0.776) and MRR (0.702) macro F1 across 19 datasets, ahead of CatBoost (0.671 / 0.570), XGBoost and NODE.
- With default hyperparameters GRANDE reaches normalized mean 0.6371 and MRR 0.6404, the best among compared methods.
- Ablation shows softsign split activation (normalized mean 0.7906) beats entmoid (0.4188) and sigmoid (0.2207), and leaf-wise weights (0.8235) beat per-estimator weights (0.1765).
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use GRANDE instead of CatBoost | 19-dataset tabular benchmark with optimized hyperparameters · 19 binary classification datasets | Normalized Mean macro F1: 0.671 -> 0.776 | Helped |
| Use softsign rather than entmoid or sigmoid split activation (ablation) | GRANDE · 19 binary classification datasets | Normalized Mean macro F1: 0.2207 -> 0.7906 | Helped |
| Use instance-wise leaf weights rather than one weight per estimator (ablation) | GRANDE · 19 binary classification datasets | Normalized Mean macro F1: 0.1765 -> 0.8235 | Helped |
Surprising findings
- Per-estimator weighting performs much worse than leaf-based weighting, with normalized mean 0.1765 versus 0.8235.
- With default hyperparameters GRANDE is not best on every dataset; XGBoost and CatBoost win on climate-simulation-crashes and wdbc-style cases.
Limitations
- Shallow ensemble architecture; stacking tree layers and categorical embeddings are left to future work.
- Evaluation restricted to 19 binary classification datasets; multi-class tasks were excluded.
- Slower than GBDT frameworks on GPU, which is highly efficient for XGBoost.
Experimental setup
Datasets: dresses-sales climate-simulation-crashes cylinder-bands wdbc ilpd tokyo1 qsar-biodeg ozone-level-8hr madelon Bioresponse wilt churn
Benchmarks: 19 OpenML binary classification datasets (OpenML benchmark suite selection)
Metrics: macro F1 normalized mean mean reciprocal rank ROC-AUC balanced accuracy runtime
Baselines: XGBoost CatBoost NODE SAINT Random Forest ExtraTrees CART
Builds on: GradTree NODE entmax Anchors
Closest papers by meaning
- Neural Oblivious Decision Ensembles for Deep Learning on Tabular Data (ICLR 2020 · similarity 0.89)
- Why do tree-based models still outperform deep learning on typical tabular data? (NeurIPS 2022 · similarity 0.89)
- Neural Tangent Kernels for Axis-Aligned Tree Ensembles (ICML 2024 · similarity 0.86)
- Generative Forests (NeurIPS 2024 · similarity 0.86)
- TabArena: A Living Benchmark for Machine Learning on Tabular Data (NeurIPS 2025 · similarity 0.86)
- Optimized Feature Generation for Tabular Data via LLMs with Decision Tree Reasoning (NeurIPS 2024 · similarity 0.85)
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