Summary – Gradient Boosting Regression
1. Visual Flow
Initial State
We start with an average guess — everyone gets the same predicted price (450).
Error is large, especially for very small or very large houses.
Round 1 – Learn from the Residuals (Mistakes)
We’re now a bit closer to the actual values — still wrong, but better!
Round 2 – Learn from New Residuals
We can see how each step gets us closer, not perfect, but less wrong.
Round 3 – Tiny Corrections
Now the residuals are nearly zero, and the predictions match closely with actual prices.
Stopping Criteria
We stop when:
- Residuals are consistently small
- Further corrections become negligible
- Model stops improving on validation data
Overall Process as a Flowchart
2. Step-by-Step Process of Gradient Boosting Regression
Step 1: Prepare Your Dataset
- Organize input features X and output target y.
Example:
Size (sqft) | Price ($1000s) |
---|---|
500 | 150 |
1000 | 300 |
Step 2: Start with an Initial Prediction
- This is usually the mean of all target values (for regression).
- E.g., If our target prices are [150, 300, 450, 600], our first guess is the average: 375 for every house.
Step 3: Calculate Residuals
- Subtract the prediction from the actual value.
- Residual = Actual – Predicted
- These residuals are the mistakes the model needs to fix.
Step 4: Train a Weak Learner (like a small decision tree)
- Fit a small tree to predict the residuals, not the final target.
- This tree learns how the model is wrong and tries to correct that.
Step 5: Add the Learner’s Output to the Previous Prediction
-
Update the model:
New Prediction = Previous Prediction + Learning Rate × Correction - The learning rate controls how big a step we take.
Step 6: Repeat Steps 3–5 for Multiple Rounds
- Use the new predictions to calculate new residuals.
- Train another weak learner on these new residuals.
- Keep adding corrections until the model improves very little.
Step 7: Final Prediction
- After all boosting rounds, combine all the learners’ predictions.
- This gives the final, refined prediction — much closer to real values than the initial guess.
Step 8: Evaluate Model Performance
- Use metrics like Mean Squared Error (MSE) or R² score to measure accuracy.
- Optionally validate using cross-validation or a test dataset.
Summary Flow (Plain Words)
1. Guess something simple (like average)
2. See how wrong you were (errors)
3. Train a model to fix the error
4. Add the fix to the previous guess
5. Repeat until you can’t fix much more
6. Combine all guesses for a final answer
Gradient Boosting Regression – Basic Math Concepts