Optimal Variable Binning in Logistic Regression

PyData Global 2025 Recap

A practical guide to optimal variable binning techniques for enhancing logistic regression models in regulated industries.
PyData
Logistic Regression
Feature Engineering
Optimal Binning
Author

Oren Bochman

Published

Wednesday, December 10, 2025

Keywords

PyData, Logistic Regression, Feature Engineering, Optimal Binning

pydata global

pydata global
TipLecture Overview

In many regulated industries—finance, healthcare, insurance—logistic regression remains the model of choice for its interpretability and regulatory acceptability.

Yet capturing non-linear effects and interactions often requires variable binning, and naive approaches (equal-width or quantile cuts) can either wash out signal or invite overfitting.

In this 30-minute session, data scientists and risk analysts with a working knowledge of logistic regression and Python will learn to:

  • Diagnose the weaknesses of basic binning strategies.
  • Select and apply optimal-binning algorithms for different use cases.
  • Assess bin stability and guard against model overfit.

All code, data samples, and a notebook will be available on GitHub.

Despite the rise of complex “black-box” models, regulated environments still demand transparency. Properly binned variables not only improve model fit but also yield coefficients that the business and auditors can interpret.

However, determining cut-points that preserve true signal while avoiding data-snooping bias is non-trivial.

TipWhat You’ll Learn:
  • Understand the basic idea behind binning (the what)
  • To know in which contexts variable binning makes sense (the when and why).
  • Choose among popular optimal-binning techniques (e.g., ChiMerge, MDLP, decision-tree-based) based on data size, feature type, and operational constraints (the how).
TipAudience & Prerequisites:
  • Data scientists and risk analysts who use logistic regression in regulated settings and need a reproducible, explainable feature-engineering pipeline.
  • Prerequisites: Basic Python (pandas, scikit-learn) and logistic-regression familiarity
  • Materials: GitHub repo with notebook, data samples, will be shared during the talk
ImportantTools and Frameworks:
TipSpeakers:

Charaf Zguiouar

Quantitative Finance and Econometrics Gradutate from Sorbonne’s University. Currently working as Data Scientist at BNP Paribas & as lecturer at Sorbonne’s University.

Outline

Optimal Binning in Logistic Regression

Optimal Binning in Logistic Regression

Agenda

Agenda

Who am I

Who am I

Modeling under uncertainty

Modeling under uncertainty

From model risks to modeling choices

From model risks to modeling choices

Logistic regression recap

Logistic regression recap

what is binning

what is binning

WoE and IV

WoE and IV

Weight of Evidence (WoE) and Information Value (IV) are two key concepts in variable binning for logistic regression.

WoE_j = \ln\left(\frac{Good_j / Total\ Good}{Bad_j / Total\ Bad }\right) \tag{1}

IV = \sum_j \left(\frac{Good_j}{Total\ Good} - \frac{Bad_j}{Total\ Bad}\right) \times WoE_j \tag{2}

IV as a feature selection metric

IV as a feature selection metric

When log-odds are not linear

When log-odds are not linear

What is binning?

What is binning?

Model A vs Model B: What is wrong here?

Model A vs Model B: What is wrong here?

Investigating like Sherlock Holmes

Investigating like Sherlock Holmes

Case study dataset

Case study dataset

Feature Overview

Feature Overview

Four Binning Strategies

Age vs CHD risk – Decile (Quantile) Binning

Age vs CHD risk – Decile (Quantile) Binning

Age vs CHD risk – Equal-Width Binning

Age vs CHD risk – Equal-Width Binning

Age vs CHD risk – Tree-Based Binning

Age vs CHD risk – Tree-Based Binning

Age vs CHD risk – Optimized Binning

Age vs CHD risk – Optimized Binning

Four modeling approaches we will compare

Four modeling approaches we will compare

AUC & ROC comparison

AUC & ROC comparison

How Boosting Algorithms Handle Binning 1

How Boosting Algorithms Handle Binning 1

How Boosting Algorithms Handle Binning 2

How Boosting Algorithms Handle Binning 2

Optimal binning as an optimisation problem

Optimal binning as an optimisation problem

MDLP: Entropy-based Binning

MDLP: Entropy-based Binning

Mathematical programming-based optimal binning

Mathematical programming-based optimal binning

Stochastic optimal binning

Stochastic optimal binning

What “good” looks like

What “good” looks like

Conclusion & how to explore further

Conclusion & how to explore further

OptBinning library

OptBinning library
  • OptBinning is a Python library for optimal binning and scorecard modelling.
  • Created and maintained by Guillermo Navas-Palencia.
  • Implements mathematical programming formulations for:
    • Binary, continuous and multiclass targets.
    • Monotonicity, minimum size, and other business constraints
  • Documentation: gnpalencia.org/optbinningGitHub
  • repository: github.com/guillermo-navas-palencia/optbinning

Question

Question

Thanks

Thanks

Reflection

We looked at what we mean by binning in Logistic Regression, why and when to use it, and how to choose an optimal binning technique based on data and operational constraints.

We also saw how to implement these techniques in Python using the OptBinning library.

Citation

BibTeX citation:
@online{bochman2025,
  author = {Bochman, Oren},
  title = {Optimal {Variable} {Binning} in {Logistic} {Regression}},
  date = {2025-12-10},
  url = {https://orenbochman.github.io/posts/2025/2025-12-10-pydata-optimal-binning-in-logistic-regression/},
  langid = {en}
}
For attribution, please cite this work as:
Bochman, Oren. 2025. “Optimal Variable Binning in Logistic Regression.” December 10, 2025. https://orenbochman.github.io/posts/2025/2025-12-10-pydata-optimal-binning-in-logistic-regression/.