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Python Feature Engineering Cookbook

You're reading from   Python Feature Engineering Cookbook A complete guide to crafting powerful features for your machine learning models

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Product type Paperback
Published in Aug 2024
Publisher Packt
ISBN-13 9781835883587
Length 396 pages
Edition 3rd Edition
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Author (1):
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Soledad Galli Soledad Galli
Author Profile Icon Soledad Galli
Soledad Galli
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Toc

Table of Contents (14) Chapters Close

Preface 1. Chapter 1: Imputing Missing Data FREE CHAPTER 2. Chapter 2: Encoding Categorical Variables 3. Chapter 3: Transforming Numerical Variables 4. Chapter 4: Performing Variable Discretization 5. Chapter 5: Working with Outliers 6. Chapter 6: Extracting Features from Date and Time Variables 7. Chapter 7: Performing Feature Scaling 8. Chapter 8: Creating New Features 9. Chapter 9: Extracting Features from Relational Data with Featuretools 10. Chapter 10: Creating Features from a Time Series with tsfresh 11. Chapter 11: Extracting Features from Text Variables 12. Index 13. Other Books You May Enjoy

Encoding with Weight of Evidence

Weight of Evidence (WoE) was developed primarily for credit and financial industries to facilitate variable screening and exploratory analysis and to build more predictive linear models to evaluate the risk of loan defaults.

The WoE is computed from the basic odds ratio:

<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mrow><mrow><mi>WoE</mi><mo>=</mo><mi>log</mi><mrow><mrow><mo>(</mo><mfrac><mrow><mi>p</mi><mi>r</mi><mi>o</mi><mi>p</mi><mi>o</mi><mi>r</mi><mi>t</mi><mi>i</mi><mi>o</mi><mi>n</mi><mi>p</mi><mi>o</mi><mi>s</mi><mi>i</mi><mi>t</mi><mi>i</mi><mi>v</mi><mi>e</mi><mi>c</mi><mi>a</mi><mi>s</mi><mi>e</mi><mi>s</mi></mrow><mrow><mi>p</mi><mi>r</mi><mi>o</mi><mi>p</mi><mi>o</mi><mi>r</mi><mi>t</mi><mi>i</mi><mi>o</mi><mi>n</mi><mi>n</mi><mi>e</mi><mi>g</mi><mi>a</mi><mi>t</mi><mi>i</mi><mi>v</mi><mi>e</mi><mi>c</mi><mi>a</mi><mi>s</mi><mi>e</mi><mi>s</mi></mrow></mfrac><mo>)</mo></mrow></mrow></mrow></mrow></math>

Here, positive and negative refer to the values of the target being 1 or 0, respectively. The proportion of positive cases per category is determined as the sum of positive cases per category group divided by the total positive cases in the training set. The proportion of negative cases per category is determined as the sum of negative cases per category group divided by the total number of negative observations in the training set.

WoE has the following characteristics:

  • WoE = 0 if p(positive) / p(negative) = 1; that is, if the outcome is random
  • WoE > 0 if p(positive) > p(negative)
  • WoE < 0 if p(negative) > p(positive)

This allows us to...

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