Theory of Intelligence
MACHINE LEARNING•Classic Algorithms•Decision Trees•2.5 Regression Trees & Instability

Introduction

Use trees to predict numbers, see why their axis-parallel splits struggle with rotated data, and understand their high variance.

Introduction

Decision trees aren't only for categories — they can predict numbers too. And now that we know how trees work, it's time for an honest look at their limitations:

  • they can only make cuts parallel to the axes, which is awkward for rotated or diagonal patterns;
  • they're unstable: small changes in the data can produce a very different tree.

These weaknesses are exactly what ensembles (next chapter) fix — so understanding them explains why random forests and gradient boosting are so popular.

Discuss theoretical concepts, mathematical formulas, and architectural foundations.

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