Bayesian Transfer Learning for Small-Data Predictive Analytics
Project description
SmallML: Bayesian Transfer Learning for Small Data
Build production-grade machine learning models with just 50-200 observations per business entity.
SmallML combines transfer learning, hierarchical Bayesian inference, and conformal prediction to enable SMEs to achieve reliable predictive analytics despite limited data.
🎯 Key Features
- Works with tiny datasets: 50-200 observations per entity, 3-10 entities total
- Transfer learning: Extracts knowledge from 100K+ public observations (pre-trained priors included)
- Hierarchical pooling: Shares statistical strength across multiple business entities
- Uncertainty guarantees: Bayesian credible intervals + distribution-free prediction sets
- Production-ready: <30 minutes training, <100ms inference, automatic convergence validation
🚀 Quick Start
Installation
pip install smallml
Development Version
To install the latest development version from GitHub:
pip install git+https://github.com/seemyon/smallml@main
Basic Usage (5 lines of code!)
from smallml import Pipeline
import pandas as pd
# Your data: dict of {entity_name: dataframe}
sme_data = {
'store_1': pd.read_csv('store_1.csv'), # 80 customers
'store_2': pd.read_csv('store_2.csv'), # 120 customers
'store_3': pd.read_csv('store_3.csv'), # 95 customers
# ... 3-10 stores total
}
# Create and fit pipeline (automatically validates convergence)
pipeline = Pipeline()
pipeline.fit(sme_data, target_col='churned')
# Make predictions with uncertainty
predictions = pipeline.predict(new_customers, sme_id='store_1')
print(predictions)
# prediction bayesian_std bayesian_lower_90 bayesian_upper_90 conformal_set conformal_set_size
# 0 0.23 0.12 0.04 0.42 {0} 1
# 1 0.78 0.15 0.51 0.95 {1} 1
# 2 0.51 0.21 0.18 0.84 {0,1} 2 # Uncertain!
📚 How It Works
SmallML uses a two-layer architecture:
-
Layer 2 (Hierarchical Bayesian): Pools information across J entities using PyMC NUTS sampler
- Uses pre-trained priors from 100K+ public observations
- Returns full posterior distributions, not just point estimates
- Automatic convergence validation (R̂ < 1.01, ESS > 400)
-
Layer 3 (Conformal Prediction): Provides distribution-free uncertainty
- Split-conformal calibration for coverage guarantees
- Returns prediction sets: {0} (certain), {1} (certain), or {0,1} (uncertain)
- Empirical coverage typically 87-93% for 90% target
📊 Performance Expectations
- Prediction Accuracy: 75-85% AUC on churn with 100 customers per entity
- Conformal Coverage: 87-93% empirical for 90% target intervals
- Training Time: 15-30 minutes for J=5 entities with 100 customers each
- Inference: <100ms per prediction
- Convergence: R̂ < 1.01, ESS > 400 (automatically validated)
🧪 Requirements
Data Requirements
- Minimum: 3 entities, 30 observations per entity
- Recommended: 5+ entities, 50+ observations per entity
- Use Case: Binary classification (churn, conversion, etc.)
- Features: Numerical + categorical (automatically handled)
Input Format
sme_data = {
'entity_1': pd.DataFrame({
'feature_1': [...], # Numerical or categorical
'feature_2': [...],
'feature_3': [...],
'churned': [0, 1, 0, ...] # Binary target (0/1)
}),
'entity_2': pd.DataFrame({...}),
# ... 3-10 entities
}
Python Requirements
- Python: 3.9 or higher
- Dependencies: PyMC ≥5.0, ArviZ ≥0.22.0, pandas ≥2.3, numpy ≥2.3, scikit-learn ≥1.7, scipy ≥1.16
📖 Documentation
- Installation Guide: See above for basic installation
- Quickstart Tutorial:
examples/quickstart.py - API Reference: Check docstrings in
smallml.pipeline.Pipeline - Research Paper: See
docs/for technical details
🔬 Research & Reproducibility
This package is the production-ready version of the SmallML research framework. For research code, paper reproduction, and detailed technical documentation, see:
- Research Code:
src/directory - Reproduction Scripts:
scripts/directory - Technical Docs:
docs/directory - Original README: See existing README.md for research details
🎓 Citation
If you use SmallML in your research, please cite:
@software{smallml2025,
title = {SmallML: Bayesian Transfer Learning for Small-Data Predictive Analytics},
author = {Leontev, Semen},
year = {2025},
url = {https://github.com/seemyon/smallml},
}
🤝 Contributing
Contributions welcome! Please open an issue or pull request.
📝 License
This project is licensed under the MIT License - see LICENSE file.
🔗 Links
- GitHub: https://github.com/seemyon/smallml
- Issues: https://github.com/seemyon/smallml/issues
- Paper: https://arxiv.org/abs/2511.14049
SmallML: Empowering small businesses with reliable ML despite limited data.
⚙️ Advanced Usage
Evaluating Model Performance
# Evaluate on test data
X_test, y_test = load_test_data()
metrics = pipeline.evaluate(X_test, y_test, sme_id='store_1')
print(f"AUC: {metrics['auc']:.3f}")
print(f"Accuracy: {metrics['accuracy']:.3f}")
print(f"F1 Score: {metrics['f1_score']:.3f}")
print(f"Conformal Coverage: {metrics['conformal_coverage']:.3f}") # Should be ~0.90
print(f"Mean Set Size: {metrics['mean_set_size']:.2f}") # 1.0 = certain, 2.0 = uncertain
Checking MCMC Convergence
# Get convergence diagnostics
diagnostics = pipeline.get_convergence_diagnostics()
print(diagnostics)
# parameter r_hat ess_bulk ess_tail
# 0 mu[0] 1.003 1845 2103
# 1 mu[1] 1.002 1923 2247
# ...
# All R̂ should be < 1.01, ESS should be > 400
Saving and Loading Pipelines
# Save fitted pipeline
pipeline.save('models/my_pipeline.pkl')
# Load later
from smallml import Pipeline
pipeline = Pipeline.load('models/my_pipeline.pkl')
predictions = pipeline.predict(new_data)
Quick Mode for Prototyping
# Faster MCMC (fewer iterations) for testing
pipeline = Pipeline(quick_mode=True)
pipeline.fit(sme_data, target_col='churned') # Takes ~5-10 min instead of 15-30
# For production, use default settings:
pipeline = Pipeline(quick_mode=False) # More reliable convergence
❓ FAQ
Q: What if I don't have pre-trained priors?
A: You'll need to add your own priors to smallml/data/priors_churn.pkl. The package structure is ready, and you can copy your existing priors there. The file should contain {'beta_0': np.ndarray, 'Sigma_0': np.ndarray}.
Q: Can I use this for regression instead of classification? A: Currently SmallML focuses on binary classification. Regression support is planned for future versions.
Q: What if MCMC doesn't converge? A: The pipeline automatically validates convergence. If it fails, try:
- Use
quick_mode=Falsefor more MCMC iterations - Ensure you have at least 50 observations per entity
- Check that features are properly normalized
Q: How do I interpret conformal sets? A:
{0}= Certain prediction: will NOT churn{1}= Certain prediction: WILL churn{0,1}= Uncertain prediction: could go either way
Q: Can I use this with just 2 entities? A: The package will warn but still work. However, hierarchical pooling works best with 3+ entities (5+ recommended).
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