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A from-scratch (using numpy) implementation of L2 Regularized Logistic Regression (Logistic Regression with the Ridge penalty) including demo notebooks for applying the model to real data as well as a comparison with scikit-learn.

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L2 Regularized Logistic Regression Model Implementation

The python file l2_regularized_logistic_regression.py is a from-scratch (using numpy) implementation of L2 Regularized Logistic Regression (Logistic Regression with the Ridge penalty). The accompanying demo .ipynb files provide the following examples of using the from-scratch model:

  • Classifying some simple, simulated data.
  • Classifying tumors in the Wisconsin Breast Cancer Dataset as benign or cancerous. This demo also includes how to implement my from-scratch K fold cross-validation method to find the optimal lambda penalty for the regression model.
  • Comparing my model built with numpy to scikit-learn's L2 Regularized Logistic Regression model.

Note that the dataset comes prepackaged with scikit-learn and is imported in the demo files. The core functionality of the l2_regularized_logistic_regression.py module demonstrated in the example notebooks includes:

  • Training the model
  • Visualizing the training process
  • Examining misclassification error on simulated and real data
  • Setting the optimal L2 penalty using an implementation of K fold cross-validation

Dataset: https://scikit-learn.org/stable/modules/generated/sklearn.datasets.load_breast_cancer.html

Author: Joel Stremmel (jstremme@uw.edu)

Credits: University of Washington DATA 558 with Zaid Harchaoui and Corinne Jones

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A from-scratch (using numpy) implementation of L2 Regularized Logistic Regression (Logistic Regression with the Ridge penalty) including demo notebooks for applying the model to real data as well as a comparison with scikit-learn.

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