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Issue #88 - Introduction to SHAP values

Issue #88 - Introduction to SHAP values

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Muhammad Anas's avatar
David Andrés
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Muhammad Anas
Jan 29, 2025
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Machine Learning Pills
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Issue #88 - Introduction to SHAP values
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In an era where artificial intelligence powers critical decisions, accuracy alone isn't enough. When a machine learning model recommends a medical treatment or flags a financial transaction as fraudulent, understanding "why" becomes as crucial as the prediction itself.

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Many machine learning models, however, operate as black boxes, making it difficult for humans to interpret how the model arrived at its conclusion. This opacity can pose significant challenges, particularly in high-stakes domains such as healthcare, finance, and public policy.

SHAP (SHapley Additive exPlanations) addresses this fundamental need by mathematically quantifying how each feature influences a model's decisions. By bringing game theory principles to machine learning interpretation, SHAP transforms complex models from black boxes into transparent systems whose decisions can be examined, validated, and trusted – particularly vital in high-stakes domains where accountability isn't optional.

The Foundation of SHAP

SHAP is based on cooperative game theory, where each “player” (a feature) receives credit for its contribution to the model’s prediction. Specifically, it relies on the Shapley value, which ensures a fair distribution of contribution among features. The Shapley value calculates the average marginal contribution of a feature across all possible subsets of features.

Given a model function, the SHAP value for a feature 𝑥ᵢ is calculated as:

\(\phi_i = \sum_{S \subseteq F \setminus \{i\}} \frac{|S|!(|F| - |S| - 1)!}{|F|!} \left( f(S \cup \{i\}) - f(S) \right) \)

where:

  • 𝑆 is a subset of features excluding 𝑥ᵢ.

  • 𝐹 is the full set of features.

  • 𝑓(𝑆) is the model’s prediction using only the features in 𝑆.

  • 𝑓(𝑆 ∪ {𝑖}) is the prediction when 𝑥ᵢ is added.

By averaging over all possible feature subsets, SHAP provides a consistent and fair measure of feature importance.

The Properties of SHAP Values

SHAP values have several important mathematical properties that make them a reliable tool for model interpretation:

  1. Additivity: SHAP values are additive, meaning that the contributions of individual features can be computed independently and summed to obtain the final model prediction. This property ensures efficient computation, even in high-dimensional datasets.

  2. Local Accuracy: The sum of SHAP values for all features equals the difference between the model’s expected output and the actual prediction for a given input. This ensures that SHAP provides an exact and locally faithful explanation for each individual prediction.

  3. Missingness: If a feature is missing or irrelevant for a particular prediction, its SHAP value is zero. This property prevents irrelevant features from distorting the interpretability of the model’s output and makes SHAP robust to missing data.

  4. Consistency: If a model changes in such a way that a feature’s influence increases, its SHAP value will not decrease. This guarantees that SHAP values provide a stable and coherent interpretation of feature contributions across different models and datasets.

Why SHAP Matters

Machine learning models are increasingly deployed in sensitive domains where decisions must be explainable, fair, and aligned with ethical standards. SHAP addresses these concerns by offering:

  • Transparency and Trust: Stakeholders—including business leaders, regulators, and end-users—need to understand why a model makes certain predictions. SHAP provides clear, interpretable insights, making it easier to justify decisions and build confidence in AI-driven processes.

  • Regulatory Compliance: Industries such as finance, healthcare, and insurance operate under strict regulations requiring explainability in automated decision-making. SHAP enables organizations to meet compliance standards by providing interpretable explanations for model outputs.

  • Bias Detection and Ethical AI: Unintended biases in machine learning models can lead to discriminatory outcomes. SHAP highlights feature contributions, making it possible to detect and mitigate biases before they result in real-world harm.

  • Model Debugging and Improvement: Unexpected model behavior can stem from data quality issues, spurious correlations, or overfitting. SHAP visualizations, such as summary and dependence plots, help diagnose these problems, allowing data scientists to refine and optimize their models.

  • Advanced Feature Importance Analysis: While traditional methods rank features by importance, they often fail to explain why certain features matter. SHAP goes beyond simple rankings, showing not just which features are influential but also how they interact and contribute to different predictions.

Real-World Applications

SHAP is widely used across industries to enhance interpretability and decision-making. Here are some key applications:

  • Healthcare - Diagnosing Diseases: Predictive models in healthcare can assess the likelihood of diseases such as diabetes or heart disease. SHAP identifies the most influential factors—such as BMI, blood pressure, or genetic markers—helping doctors make informed decisions and improving patient outcomes.

  • Finance - Credit Risk and Loan Approvals: Banks and financial institutions rely on machine learning models to assess creditworthiness. SHAP provides a transparent breakdown of the factors influencing loan approval decisions, ensuring fairness and compliance with regulatory requirements.

  • E-Commerce and Retail - Recommendation Systems: Online retailers use machine learning to personalize recommendations based on user behavior. SHAP explains why a particular product is suggested to a user, improving user engagement and trust in recommendation algorithms.

  • Manufacturing - Predictive Maintenance: Industrial equipment failures can be costly. SHAP helps identify the most critical sensor readings and environmental factors that indicate potential failures, allowing for proactive maintenance and reduced downtime.

  • Marketing - Customer Churn Prediction: Businesses aim to retain customers by understanding churn risks. SHAP analyzes factors such as user activity, purchase history, and support interactions to predict and prevent customer attrition, enabling targeted retention strategies.


In the past I already covered SHAP together with other techniques to determine the feature importance. You can practise them with this DIY issue:

DIY #9 - Feature Importance in ML models

DIY #9 - Feature Importance in ML models

David Andrés and Josep Ferrer
·
February 24, 2024
Read full story

Conclusion

In an age where AI is shaping critical decisions, SHAP provides the transparency needed to make machine learning models more interpretable, trustworthy, and actionable. By offering fair and consistent feature attributions, SHAP empowers data scientists, business leaders, and regulators to better understand and refine predictive models. Whether it’s improving healthcare diagnostics, financial risk assessments, or personalized recommendations, SHAP is an indispensable tool for unlocking the black box of AI and ensuring responsible, explainable AI deployment.

Next week we will share a DIY fully dedicated to SHAP values.

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