SHAP Values for Multiclass Classification

1. Introduction

Why Explainability Matters in Multiclass Models

“If machine learning is a black box, then explainability is the flashlight.”

I’ve worked with a lot of machine learning models, and if there’s one thing that always comes up—especially in high-stakes applications—it’s the question of “Why did the model make this prediction?”

With binary classification, it’s straightforward. You have two classes, a single decision boundary, and SHAP (or any other explainability method) gives you a clean feature attribution. But the moment you step into multiclass classification, things start getting messy.

The Challenge of Interpreting Complex ML Models

Multiclass models don’t just decide “Yes or No.” They decide “Which one?”—and that makes all the difference.

Take a medical diagnosis model, for example. If it predicts “Class A” instead of “Class B,” you need to understand why. Did one feature push the decision toward Class A? Did another one pull it away from Class B? Unlike binary classification, where you get a single SHAP value per feature, multiclass SHAP values distribute importance across multiple outputs.

Why Feature Importance Alone Isn’t Enough

Many data scientists (myself included, early in my career) rely too much on feature importance scores. But let me tell you—those won’t cut it in a multiclass setting.

Why? Because feature importance tells you which features are important overall, but it doesn’t tell you how those features influence specific class predictions. For example:

  • A feature might be important for Class 1 but completely irrelevant for Class 2.
  • A feature might increase the probability of Class A while simultaneously decreasing the probability of Class B.

SHAP is different—it doesn’t just tell you “this feature is important.” It tells you “this feature pushed the prediction toward Class A by X amount while pulling it away from Class B by Y amount.”

When SHAP Is the Best Choice

I’ve tried various interpretability methods, from LIME to Permutation Importance, but SHAP consistently stands out in multiclass settings.

Here’s why:
Class-Wise Attribution – You get SHAP values for each class, showing exactly how a feature influences different outcomes.
Consistent Additivity – Unlike some heuristics, SHAP values obey strict mathematical guarantees.
Robust Across Models – Whether I’m using XGBoost, LightGBM, or even deep learning, SHAP adapts.

You might be wondering: “But doesn’t SHAP come with a computational cost?” Absolutely. And that’s one of the trade-offs we’ll discuss later.


What Are SHAP Values? (Beyond Basics)

You’ve probably seen the standard definition: SHAP (Shapley Additive Explanations) is a game-theoretic approach to feature attribution. That’s great—but let’s go deeper.

SHAP: More Than Just Feature Importance

At its core, SHAP is based on Shapley values, a concept borrowed from cooperative game theory. Instead of players in a game, we have features in a model, and SHAP tells us how much each feature contributes to the final prediction.

But here’s the catch—this concept is much easier to grasp in binary classification than in multiclass.

Why Traditional SHAP for Binary Classification Doesn’t Directly Extend to Multiclass

In binary classification, SHAP values are simple:

  • Positive SHAP value → Feature increased the likelihood of the positive class.
  • Negative SHAP value → Feature pushed the prediction toward the negative class.

But in multiclass, we’re not dealing with a single decision boundary. Every feature influences multiple classes at once, often in contradictory ways.

Example: Let’s say we’re classifying handwritten digits (0-9). A feature might strongly push a prediction toward “3” while slightly decreasing the probability of “5” and “8.” Without SHAP, we wouldn’t know how much of this effect is happening behind the scenes.

Mathematical Intuition: How SHAP Distributes Contributions Across Outputs

SHAP in multiclass classification works by computing one set of SHAP values per class. Each class gets a breakdown of how every feature contributes to its probability. The sum of these values aligns with the model’s raw output (log-odds or probabilities).

Here’s what that means in practice:

  • Instead of getting a single SHAP value per feature, you get one per class.
  • The feature contributions must sum to the total model output for each class.
  • The interpretation now becomes: “This feature increased the probability of Class A while decreasing Class B and C.”

This is where things get computationally expensive—but also where SHAP proves its value. If you’ve ever struggled to explain a multiclass model’s decision, SHAP gives you a way to break it down feature by feature, class by class.


2. Challenges of Explainability in Multiclass Classification

Why Is Multiclass Harder Than Binary?

I learned this the hard way when I first tried to apply SHAP to a multi-classification problem. What I thought would be a simple extension of binary SHAP turned into a maze of per-class decision boundaries and cross-class dependencies.

Per-Class Decision Boundaries

Unlike binary classification, where a model draws one decision boundary, multiclass models create multiple overlapping ones. This means:

  • The impact of a feature might be positive for one class and negative for another.
  • Feature contributions need to be analyzed relative to multiple outputs, not just one.

Example: If you’re classifying emails into Spam, Promotions, and Primary, a feature like “Contains Discount Code” might strongly push towards Promotions while slightly increasing the odds of Spam and decreasing the chance of landing in Primary.

Cross-Class Dependencies and Their Interpretability Issues

One of the biggest misconceptions I had early on was treating multiclass classifications as independent binary problems—but that’s completely wrong.

In reality, classes interact in complex ways. Features don’t just influence one class; they shift probabilities between classes.

Example: A fraud detection model might classify transactions as Legitimate, Suspicious, or Fraudulent. If a transaction gets flagged as Suspicious, is it because:

  • It was almost Fraudulent?
  • It was barely different from a Legitimate transaction?
  • Certain features pushed it away from Fraud but not far enough into Legitimate?

Overlapping Feature Contributions in Different Classes

This is another headache. A feature’s SHAP value for Class A might be positive, while its SHAP value for Class B is negative. So does that mean the feature is important or not?

You might be tempted to average SHAP values across classes—but that’s a rookie mistake. The key is to analyze each class separately and compare relative feature impacts instead of lumping them together.

Common Pitfalls in Multiclass Explainability

Misinterpreting Per-Class SHAP Values

Many data scientists assume that a high SHAP value always means a strong influence. But in multiclass settings, you have to check:

  • Is the impact localized to one class, or does it affect multiple?
  • Is the effect positive for one class but negative for others?

Ignoring Interactions Between Classes

Treating each class as an independent problem leads to misinterpretation. Always look at SHAP values comparatively across classes.

Not Considering Baseline Probability Distributions

SHAP values are calculated relative to a baseline probability distribution. If you don’t account for that, your interpretations could be way off—especially in imbalanced datasets.


3. SHAP for Multiclass: How It Works

SHAP Value Computation for Multiclass Models

“If you think explaining a binary classification model is hard, wait until you try to explain why a model picked Class C over Class A and B.”

I remember the first time I applied SHAP to a multiclass problem—it was a mess. Unlike binary classification, where SHAP gives you a clean positive or negative impact for one outcome, here, every feature gets a separate SHAP value for each class. That means instead of one explanation per prediction, you get multiple competing explanations at once.

So, how does SHAP actually break down predictions in multiclass classification?

How SHAP Generates Separate Explanations for Each Class

SHAP doesn’t just give a single set of feature contributions. Instead, it generates one set per class. Each feature gets a SHAP value for every possible output, showing:
✅ How much it increased or decreased the probability of each class
✅ How those changes sum up to match the model’s final decision

You might be wondering: “Can’t we just sum the SHAP values across classes?” Nope. That’s a common mistake. Unlike binary classification, where SHAP values add up to the difference from the baseline, in multiclass, they represent relative shifts in probability across multiple classes.

Summing Class-Wise SHAP Values vs. Individual Contributions

Let me put this in practical terms. Suppose you’re building a model to classify customer reviews as Positive, Neutral, or Negative. You check the SHAP values for a single review and see this for the feature “contains ‘refund’”:

FeatureSHAP for PositiveSHAP for NeutralSHAP for Negative
contains “refund”-0.05+0.02+0.10

What does this mean?

  • The word “refund” reduces the probability of the review being classified as Positive (-0.05).
  • It slightly increases the probability of being Neutral (+0.02).
  • And it strongly pushes the prediction towards Negative (+0.10).

This is the key difference in multiclass: a feature isn’t just “good” or “bad”—it influences different classes in different ways.

Visualization Challenges in Multiclass SHAP

When I first plotted SHAP summary plots for a multiclass model, I realized something—you don’t get just one plot, you get one per class. This means three major challenges:
1️⃣ Comparing SHAP values across classes isn’t intuitive. A feature may be important overall, but its direction of influence differs per class.
2️⃣ Color interpretation gets tricky. If you’ve used SHAP visualizations before, you know colors indicate feature values. But in multiclass, this gets cluttered when multiple classes are involved.
3️⃣ Explaining results to stakeholders becomes harder. If you’re working with a business team, showing them per-class SHAP plots can be overwhelming. I’ve found that summarizing key feature movements per class works better than dumping a full SHAP plot on them.


Breakdown of SHAP Calculation for Different Model Types

Depending on the model you’re working with, SHAP calculations can vary significantly. I’ve personally used SHAP on tree-based models, deep learning networks, and linear classifiers, and trust me, the computational trade-offs are very real.

Tree-Based Models (XGBoost, LightGBM, CatBoost)

If you’re using XGBoost, LightGBM, or CatBoost, you’re in luck—these models have built-in SHAP optimization. They use TreeExplainer, which makes computing SHAP values fast and efficient.

  • SHAP values for each class are derived by following different decision paths in the tree.
  • The sum of SHAP values across all classes matches the model’s output (log-odds or probabilities).
  • In my experience, tree models handle SHAP computations faster than other architectures, making them ideal for large datasets.

💡 Pro Tip: If you’re dealing with a deep tree-based model, use approximate=True in shap.TreeExplainer() to speed up calculations.

Deep Learning Models (TensorFlow, PyTorch)

Now, this is where things get computationally expensive. SHAP for deep learning relies on DeepExplainer (for TensorFlow) and GradientExplainer (for PyTorch), which estimate feature attributions using backpropagation-based Shapley values.

🚨 Warning: If you’re working with deep learning models with thousands of neurons, SHAP computation can take forever.

A few things I’ve learned when applying SHAP to deep learning:
Sampling helps – Instead of running SHAP on the entire dataset, use a representative subset.
Kernel SHAP as a fallback – If your model is too complex, use Kernel SHAP (though slower, it works on any model).
Use integrated gradients where possible – Sometimes, other explainability methods like Integrated Gradients work better than SHAP for deep models.

Logistic Regression and Linear Classifiers

For simpler models like logistic regression, SHAP behaves almost identically to standard feature coefficients—except now you get a class-wise breakdown.

  • SHAP values here can be interpreted similarly to regression coefficients but offer more flexibility in class-by-class attribution.
  • Since linear models are computationally light, SHAP runs much faster compared to tree-based or deep learning models.

💡 Pro Tip: If you’re working with imbalanced datasets, make sure to normalize your SHAP values—otherwise, the attributions might be misleading.


4. Implementing SHAP for Multiclass in Python (Hands-On Guide)

“The best way to understand SHAP is to actually implement it. The first time I applied it to a multiclass model, I realized—this isn’t just plug-and-play. You need to think about dataset structure, encoding, and computational efficiency before diving in.”

Let’s go step by step, from dataset selection to performance optimizations, so you don’t hit the same roadblocks I did when I first started.

Dataset Selection & Preprocessing

I’ve learned the hard way that not all datasets are SHAP-friendly. If your dataset isn’t properly formatted, SHAP will either give misleading results or run painfully slow. Here’s what I do before applying SHAP to any multiclass problem:

Choosing a Good Dataset with Meaningful Class Distribution

Multiclass problems can be tricky when one class dominates. If you’ve got an imbalanced dataset, SHAP’s explanations might overemphasize the majority class.

  • Bad Example: A medical dataset where 90% of cases are “No Disease” and only 5% are “Disease A” and 5% “Disease B.”
  • Good Example: A balanced classification dataset, like predicting customer sentiment (Positive, Neutral, Negative) where classes are well-distributed.

💡 Pro Tip: If your classes are highly imbalanced, consider stratified sampling when splitting data.

Encoding Categorical Variables for SHAP-Friendly Models

If you’re working with categorical features, avoid one-hot encoding with SHAP when possible. It increases dimensionality and can make SHAP interpretation difficult. Instead:

  • Use label encoding for tree-based models (XGBoost, LightGBM)
  • Use embeddings for deep learning models (TensorFlow, PyTorch)

I once made the mistake of one-hot encoding a dataset with 100+ categories—SHAP plots became unreadable. Label encoding fixed it.

Applying SHAP to Different Models (Step-by-Step Code Guide)

Let’s walk through SHAP with two different model types:
1️⃣ XGBoost (tree-based) – Fast and optimized SHAP calculations
2️⃣ TensorFlow (deep learning) – More computationally expensive but works well for complex problems

Example 1: SHAP with XGBoost for Multiclass Classification

First, let’s train an XGBoost model on a multiclass dataset and compute SHAP values.

📌 Step 1: Install Dependencies

!pip install shap xgboost

📌 Step 2: Load Dataset & Train Model

import shap
import xgboost
import numpy as np
import pandas as pd
from sklearn.model_selection import train_test_split
from sklearn.preprocessing import LabelEncoder
from sklearn.datasets import load_iris

# Load a sample dataset
data = load_iris()
X = pd.DataFrame(data.data, columns=data.feature_names)
y = pd.DataFrame(data.target, columns=["target"])

# Encode target labels
label_encoder = LabelEncoder()
y = label_encoder.fit_transform(y.values.ravel())

# Split dataset
X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42)

# Train XGBoost model
model = xgboost.XGBClassifier(objective="multi:softmax", num_class=3)
model.fit(X_train, y_train)

📌 Step 3: Compute SHAP Values

# Explain model predictions using SHAP
explainer = shap.Explainer(model)
shap_values = explainer(X_test)

# Visualizing SHAP summary plot
shap.summary_plot(shap_values, X_test)

What You’ll See: A summary plot showing how each feature influences different class probabilities.

🚨 Common Pitfall: Many people assume the highest SHAP value always means the most important feature. In multiclass, you need to check per-class attributions.

Example 2: SHAP with Deep Learning (TensorFlow/Keras)

Now, let’s apply SHAP to a deep learning model. This is computationally heavier but useful for NLP, image classification, and other deep learning tasks.

📌 Step 1: Install Dependencies

!pip install tensorflow shap

📌 Step 2: Train a Deep Learning Model

import shap
import tensorflow as tf
from tensorflow import keras
from tensorflow.keras.layers import Dense
from tensorflow.keras.models import Sequential

# Define a simple MLP model
model = Sequential([
    Dense(16, activation='relu', input_shape=(4,)),
    Dense(16, activation='relu'),
    Dense(3, activation='softmax')
])

model.compile(optimizer='adam', loss='sparse_categorical_crossentropy', metrics=['accuracy'])
model.fit(X_train, y_train, epochs=50, verbose=0)

# Convert to SHAP explainer
explainer = shap.Explainer(model, X_test)
shap_values = explainer(X_test)

# SHAP summary plot for deep learning
shap.summary_plot(shap_values, X_test)

🚨 Heads Up: Deep SHAP explanations are much noisier than tree-based models, and computation time can be slow.

💡 Pro Tip: If SHAP is running too slowly, use a subset of data instead of the full dataset.


Performance Considerations & Optimizations

You might be wondering: “SHAP is great, but how do I speed it up?” Trust me, I’ve been there. Here are some key optimizations:

⚡ KernelSHAP vs. TreeSHAP vs. DeepSHAP

SHAP MethodBest ForSpeedAccuracy
TreeSHAPXGBoost, LightGBM, CatBoost✅ Fast✅ High
DeepSHAPNeural networks (TensorFlow, PyTorch)❌ Slow✅ High
KernelSHAPAny model (fallback option)❌ Very Slow✅ High

💡 Rule of Thumb: If your model is tree-based, always use TreeSHAP. If it’s deep learning, consider alternative explainability methods like Integrated Gradients when SHAP is too slow.

Reducing Memory Overhead in Large Datasets

I once ran SHAP on a dataset with 1 million rows—my laptop almost melted. Here’s how I prevent that now:

Use a sample subset: Instead of running SHAP on all data, take a random subset (e.g., 10,000 rows).
Use approximate=True in TreeSHAP to speed up computation.
Use sparse data formats (especially for NLP models).

Parallelization Strategies for Large Models

If your model is massive, SHAP can take hours. Here’s how you can parallelize computations:

For Tree-based models (XGBoost, LightGBM):

shap_values = explainer(X_test, nsamples=100, l1_reg="num_features(10)")

This limits the number of samples and speeds up computation.

For Deep Learning models:
Use distributed computing frameworks like Ray or Dask to distribute SHAP computations across multiple cores.


5. Visualizing and Interpreting Multiclass SHAP Values

“A bad visualization is worse than no visualization.” I learned this the hard way when I misinterpreted a multiclass SHAP summary plot early on. I assumed feature importance worked the same way as in binary classification—but I was completely wrong.

Multiclass SHAP visualization isn’t just about seeing the most important features—it’s about understanding per-class contributions and how SHAP values shift probabilities for each decision. Let’s break it down.

Choosing the Right Visualization for Multiclass

Not all SHAP plots are created equal. You might be wondering: “Which one should I use?”

1. Summary Plots: Per-Class vs. Aggregated

SHAP summary plots are the go-to visualization for most models, but for multiclass problems, there’s a crucial mistake you need to avoid:

🚨 Pitfall: Many people look at the aggregated SHAP summary plot and assume it tells the whole story. It doesn’t. In multiclass settings, you must check per-class SHAP values separately.

Example: Aggregated vs. Per-Class SHAP Summary Plots
import shap
shap.summary_plot(shap_values, X_test)  # Aggregated (can be misleading)

for i in range(model.n_classes_):  # Per-class SHAP values
    shap.summary_plot(shap_values[:, :, i], X_test, title=f"Class {i}")

💡 Best Practice: If your problem involves three or more classes, always check the per-class breakdown. Aggregating can hide important feature contributions.

2. Waterfall Plots: Instance-Level Explanations

Want to explain a single prediction? Waterfall plots are your best friend. These plots show how SHAP values contribute to an individual prediction step by step.

I’ve personally found this useful when debugging why a model misclassified an instance—it often reveals an unexpected feature contribution.

Example: Waterfall Plot for a Single Instance
shap.waterfall_plot(shap.Explanation(values=shap_values[0, :, predicted_class], 
                                     base_values=explainer.expected_value[predicted_class], 
                                     data=X_test.iloc[0]))

Use Case: Explaining why a specific customer was labeled as “Churn” instead of “Stay.”

🚨 Common Mistake: Forgetting to specify the predicted class when dealing with multiclass problems. SHAP needs to know which output probability to explain.

3. Decision Plots: Showing Class-Wise Probability Shifts

One of my favorite SHAP visualizations is the decision plot—especially when presenting results to non-technical stakeholders.

Why? Because it shows how a model’s decision evolved based on feature contributions.

Example: Decision Plot for a Single Prediction
shap.decision_plot(explainer.expected_value, shap_values[0], X_test.iloc[0])

What It Shows:

  • How each feature pushes the prediction probability toward a specific class.
  • The cumulative effect of multiple feature contributions.

🚨 Pitfall: Decision plots can become cluttered when using too many features. If you see a mess, limit the plot to the top 5-10 features.


Common Mistakes in SHAP Visualization

After working with SHAP for years, I’ve seen (and made) many interpretation mistakes. Here are the top ones you should watch out for:

1. Misleading Color Scales in Summary Plots

Many SHAP visualizations use default colormaps (like blue-to-red) to show values. But I’ve run into cases where:

  • The color scale is inconsistent, making it seem like a feature’s importance is reversed.
  • Small SHAP values still show bright colors, making some features look more influential than they really are.

💡 Fix: Always check the color legend and consider normalizing SHAP values before plotting.

2. Ignoring Feature Dependencies in Multiclass Scenarios

This might surprise you: SHAP assumes feature independence. But in real-world datasets, features often interact—and SHAP doesn’t always capture that properly.

For example, let’s say you’re predicting loan approval with features like:

  • Income
  • Debt-to-Income Ratio (DTI)

Individually, “Income” might not have a strong effect, but when combined with DTI, it could be critical.

💡 Fix: Use SHAP interaction values instead of plain SHAP values when you suspect feature dependencies:

shap_interaction_values = explainer.shap_interaction_values(X_test)
shap.summary_plot(shap_interaction_values, X_test)

This helps identify feature pairs that influence predictions together.

3. Aggregating SHAP Values Incorrectly Across Classes

A big mistake I see is summing SHAP values across all classes to get a “global” importance ranking.

Why is this wrong? Because SHAP values are class-specific—summing them up washes out class-wise effects.

🚨 Bad Approach:

shap_importance = np.abs(shap_values).mean(axis=(0,1))  # ❌ Incorrect for multiclass

Better Approach (Per-Class Feature Importance):

for i in range(model.n_classes_):
    shap.summary_plot(shap_values[:, :, i], X_test, title=f"Class {i}")

6. Conclusion: Mastering SHAP for Multiclass Models

If there’s one thing I’ve learned from working with SHAP in multiclass classification, it’s this: explainability is only as good as your interpretation. SHAP provides powerful insights, but understanding those insights correctly is what separates experienced data scientists from the rest.

Key Takeaways from This Guide:

Multiclass SHAP is not just an extension of binary SHAP. Each class has separate SHAP values, and misinterpreting them can lead to incorrect conclusions.
Visualization matters. Per-class summary plots, waterfall plots, and decision plots are essential to make sense of feature contributions.
Avoid common mistakes. Aggregating SHAP values across classes, misusing color scales, and ignoring feature dependencies can all lead to misleading interpretations.
Performance optimization is critical. SHAP computations can be expensive—choosing the right method (TreeSHAP, DeepSHAP, KernelSHAP) can make a huge difference in speed and scalability.

Why This Matters Beyond Just SHAP

In real-world applications, especially in finance, healthcare, and risk modeling, making incorrect assumptions about feature importance can lead to costly mistakes. SHAP gives us a way to bring transparency to complex models, but only if we use it wisely.

Final Thought: Experience Trumps Theory

I’ve personally found that reading about SHAP is one thing, but actually using it on your own data is another. You’ll run into challenges, misinterpretations, and performance bottlenecks—but that’s where the real learning happens.

So, if you haven’t already, pick a multiclass dataset, implement SHAP, and start experimenting. The best way to master explainability is to get your hands dirty.

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