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SmallGBM

Gradient boosting for small tabular data.
Statistical parity with XGBoost · Outperforms LightGBM · Lowest variance

version python license pip DOI


What is SmallGBM?

SmallGBM is a gradient boosting library designed for small datasets (n < 1000). It combines robust leaf weight estimation with controlled column subsampling to deliver accuracy on par with XGBoost — with lower variance and no hyperparameter tuning.


Benchmark

27 datasets (15 synthetic + 12 real-world) · 5-fold cross-validation · mean ROC-AUC

Model AUC Std
SmallGBM 0.9157 ±0.0723
XGBoost 0.9156 ±0.0792
RandomForest 0.9140 ±0.0788
LightGBM 0.9047 ±0.0752

SmallGBM achieves statistical parity with XGBoost (p > 0.05), outperforms RandomForest by +0.17%, LightGBM by +1.1%, and has the lowest variance among all models.


Why Robust Leaf Weights?

Standard gradient boosting uses the mean of residuals per leaf. On small data, one outlier can destroy the estimate.

SmallGBM uses:

  • Median for leaves with n ≤ 30
  • Inverse-distance weighted mean for larger leaves
  • Signal-adaptive shrinkage toward the parent node

This makes predictions robust to outliers and label noise — the main enemies of small-sample learning.


Installation

pip install smallgbm

Quickstart

from smallgbm import SmallGBMClassifier

model = SmallGBMClassifier()
model.fit(X_train, y_train)
proba = model.predict_proba(X_test)

Parameters

Parameter Default Description
n_estimators 50 Boosting rounds
max_depth 3 Max tree depth
min_samples_leaf 3 Min samples per leaf
learning_rate 0.1 Shrinkage
sigma_prior 0.5 Regularization strength
colsample_bytree 0.5 Feature fraction per tree
random_state None Reproducibility
auto_scale False RobustScaler internally

Features

  • Robust leaf weights — median + adaptive shrinkage
  • Column subsampling — fights overfitting in high-dimensional small data
  • Uncertainty estimatespredict_with_uncertainty()
  • scikit-learn compatiblefit, predict, predict_proba
  • Pure Python + NumPy — no compilation, easy install

Citation

@software{emelyanov2026smallgbm,
  author = {Emelyanov, Ilya},
  title = {SmallGBM: Gradient Boosting with Robust Leaf Regularization for Small-Sample Tabular Data},
  year = {2026},
  doi = {10.5281/zenodo.21934674},
  url = {https://github.com/nsdmlk/SmallGBM}
}

License

MIT © Emelyanov Ilya, 2026


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