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LIME & SHAP Values in AI

Master the industry-standard tools for feature attribution. Explore the local linear approximation of LIME, understand the game-theoretic foundations of SHAP values, and learn to generate visualizations that explain AI behavior to both developers and end-users.

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XAI Math.

Quick Quiz //

Which tool is 'Model-Agnostic'?


If an AI decision is a crime scene, LIME and SHAP are the forensic tools. By assigning 'Credit' to every feature, they reveal the hidden motives of the model.

1LIME: Local Fidelity

LIME (Local Interpretable Model-agnostic Explanations) assumes that even if a model is globally complex and non-linear, a small, local region of that model's decision space can be approximated with a simple Linear Model. It works by 'Perturbing' the data (making small, random changes to the features) and seeing how the prediction changes. It then builds a weighted linear regression around the point of interest, giving us a clear, local view of which features pushed the needle.

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// LIME Local Approximation Concept
function explainWithLIME(model, dataPoint) {
  const perturbedData = generatePerturbations(dataPoint);
  const predictions = model.predict(perturbedData);
  
  // Fit a simple linear model to the perturbed space
  const explainer = new LinearRegression();
  explainer.fit(perturbedData, predictions, {
    weights: calculateProximity(perturbedData, dataPoint)
  });
  
  return explainer.getFeatureWeights();
}
localhost:3000
localhost:3000/lime-viz
Local Explanation: Patient 42
Age > 65: Pushes RISK Up (+0.3)
Non-Smoker: Pushes RISK Down (-0.2)

2SHAP: Fair Attribution

SHAP (SHapley Additive exPlanations) is based on Shapley Values from cooperative game theory. It treats each feature as a 'Player' in a game where the goal is to predict an outcome. SHAP calculates how much each feature contributes to the 'Payout' (the prediction) by testing all possible combinations of features. It is considered the Gold Standard of XAI because it is mathematically consistent—the sum of the SHAP values always equals the difference between the prediction and the average prediction.

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// SHAP Additive Property Concept
function verifySHAPConsistency(shapValues, baseValue, prediction) {
  let sumOfSHAP = 0;
  for (let feature of Object.keys(shapValues)) {
    sumOfSHAP += shapValues[feature];
  }
  
  // SHAP guarantees this will be true
  return (baseValue + sumOfSHAP) === prediction;
}
localhost:3000
localhost:3000/shap-audit
Mathematical Consistency Check
Base Value: 0.50
Sum of SHAP Values: +0.25
Final Prediction: 0.75 (Verified)

3Force Plots and Summary Maps

Both tools produce powerful visualizations. Force Plots show how individual features 'push' the prediction away from the baseline (red pushes up, blue pushes down). Summary Plots show the global importance of features by aggregating thousands of local SHAP values. These visualizations are essential for Model Debugging: if a model is using a feature it shouldn't (like a patient's name instead of their symptoms), LIME and SHAP will reveal it instantly.

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// Force Plot Logic Concept
function renderForcePlot(shapValues, baseValue) {
  let currentVal = baseValue;
  
  shapValues.sort((a, b) => b.magnitude - a.magnitude);
  
  for (let sv of shapValues) {
    if (sv.val > 0) drawRedArrow(sv.feature, sv.val);
    else drawBlueArrow(sv.feature, sv.val);
  }
}
localhost:3000
localhost:3000/force-plot
📊
Force Plot Generated
Visual Explanation Ready

?Frequently Asked Questions

Pascual Vila

Pascual Vila

Frontend Instructor // Code Syllabus

Lesson Glossary

[01]LIME

Local Interpretable Model-agnostic Explanations: A technique to explain predictions of any classifier by approximating it locally with an interpretable model.

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Linear Local View

[02]SHAP

SHapley Additive exPlanations: A method to explain individual predictions based on the game-theoretically optimal Shapley values.

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The Gold Standard

[03]Shapley Value

A method from game theory that assigns a value to each player based on their contribution to a total payout.

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Fair Credit

[04]Perturbation

The act of slightly modifying input data to observe how those changes affect the output of a model.

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Input Testing

[05]Feature Attribution

The process of assigning a score to each input feature based on its contribution to a specific model output.

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The Why Score

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