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Lecture Notes on Ensemble Learning and Regularization

Finalizing Groups

  • Reminder to finalize project groups by the next class.
    • Students can use Canvas to find or finalize their groups.
    • Note: around 8-9 students have not yet found a group.

Lecture Audio Recording

  • The session will be recorded for students to review later.

Ensemble Learning Overview

  • Definition and Concept:
    • "Ensemble" means a group of models or components.
    • Ensemble learning is the process of combining multiple models to produce a better predictive performance.
    • Example: TV shows like "Friends" illustrate ensemble situations where no main character dominates.
  • Purpose of Ensemble Learning:
    • Combines multiple weaker models to create a stronger overall model.
    • Real-world applications: eg. Kaggle competitions and Netflix challenge example where collaboration among teams enhanced prediction accuracy.

Types of Ensemble Learning

  • Bagging:
    • Reduces model variance.
    • Helps to mitigate overfitting by training models on random subsets of the data.
  • Boosting:
    • Aims to reduce bias and improve model accuracy by sequentially training models that focus on the errors made by previous models.

Concepts of Overfitting and Underfitting

  • Overfitting:
    • Occurs when a model learns the training data too well, capturing noise as important patterns and performing poorly on new data.
    • High variance in model predictions.
  • Underfitting:
    • Happens when a model is too simple to learn the data's underlying structure leading to missed patterns and poor performance.
    • High bias in predictions.

Bias-Variance Tradeoff

  • Bias refers to the error introduced by approximating a real-world problem with a simpler model.
  • Variance refers to the error introduced by the model's sensitivity to the fluctuations in the training set.
  • An ideal model would achieve low bias and low variance.

Bootstrapping Technique for Bagging

  • Bootstrapping:
    • Random sampling with replacement.
    • Creates multiple datasets from a single dataset to reduce overfitting by training different models on various subsets of data.

Decision Trees and Overfitting

  • Decision trees are prone to overfitting due to their ability to split the training data into granular segments.
  • Stopping criteria help manage overfitting by preventing too many splits and