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[TOP 10] Implement Gradient Boosting Machine (GBM) #26

@noahgift

Description

@noahgift

🔥🔥 TOP 10 CRITICAL Priority - Most popular ML algorithm #10

Overview

Implement Gradient Boosting Machine (GBM), the most decisive algorithm in Kaggle competitions and industry ML pipelines.

Implementation Details

  • Sequential ensemble of weak learners (decision trees)
  • Gradient descent in function space
  • Learning rate (shrinkage)
  • Tree depth control
  • Subsampling for regularization
  • Early stopping

Variants (Priority Order)

  1. Basic GBM - Core algorithm
  2. GBDT - Gradient Boosted Decision Trees
  3. (Future) XGBoost-style optimizations
  4. (Future) LightGBM-style leaf-wise growth

References

  • "XGBoost is the decisive choice between winning and losing in Kaggle competitions"
  • Superior to Random Forest with proper tuning
  • State-of-the-art for tabular data

Acceptance Criteria

  • GradientBoostingClassifier struct
  • GradientBoostingRegressor struct
  • fit/predict/staged_predict
  • Feature importance
  • Early stopping
  • Comprehensive tests (EXTREME TDD)
  • Example: gbm_boston_housing.rs
  • Book chapter: ml-fundamentals/gradient-boosting.md

Priority Justification

Gradient Boosting is the #1 algorithm for winning ML competitions

  • Kaggle winners use GBM/XGBoost in 90%+ of competitions
  • Industry standard for structured/tabular data
  • Outperforms Random Forest and Neural Networks on most tasks

Complexity Warning

⚠️ This is a complex algorithm requiring:

  • Decision tree integration
  • Gradient computation
  • Loss function derivatives
  • ~500-800 LOC implementation

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