Now that we have a conceptual understanding of how Support Vector Machines work from the previous section, let's see how to put them into practice using Scikit-learn. The primary implementation for classification is the SVC class (Support Vector Classification), located within the sklearn.svm module.

Just like other Scikit-learn estimators, SVC follows the familiar fit/predict pattern. We first instantiate the model, potentially configuring its hyperparameters, then train it on our data, and finally use it to make predictions on new, unseen data points.

Basic Usage

Let's start with a simple example using default parameters. We'll use some sample data generated using make_blobs, which creates nice clusters suitable for classification tasks. Remember, SVMs are sensitive to feature scales, so applying scaling (like StandardScaler) is generally a required preprocessing step. We will cover preprocessing in detail in Chapter 4, but we'll apply basic scaling here for demonstration.

import numpy as np
from sklearn.datasets import make_blobs
from sklearn.model_selection import train_test_split
from sklearn.preprocessing import StandardScaler
from sklearn.svm import SVC
from sklearn.metrics import accuracy_score

# 1. Generate sample data
X, y = make_blobs(n_samples=100, centers=2, n_features=2, random_state=42, cluster_std=1.5)

# 2. Split data
X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.3, random_state=42)

# 3. Scale features
scaler = StandardScaler()
X_train_scaled = scaler.fit_transform(X_train)
X_test_scaled = scaler.transform(X_test) # Use transform, not fit_transform on test data

# 4. Instantiate the SVC model
# Defaults: kernel='rbf', C=1.0, gamma='scale'
svm_classifier = SVC(random_state=42)

# 5. Train the model
svm_classifier.fit(X_train_scaled, y_train)

# 6. Make predictions
y_pred = svm_classifier.predict(X_test_scaled)

# 7. Evaluate the model
accuracy = accuracy_score(y_test, y_pred)
print(f"Model Accuracy: {accuracy:.4f}")
# Expected Output: Model Accuracy: 1.0000 (or similar, dataset is easily separable)

In this example, we created an SVC instance using its default settings. The most significant default is kernel='rbf', which uses the Radial Basis Function kernel, a common choice for handling non-linearly separable data. We then trained (fit) the model using the scaled training data and made predictions (predict) on the scaled test data.

Choosing the Right Kernel

The kernel hyperparameter determines how SVC transforms the data to find the optimal separating hyperplane. You select the kernel based on your understanding of the data's structure.

'linear': Use this if you believe your data is mostly linearly separable. It fits a simple hyperplane.
'rbf' (Radial Basis Function): This is the default and a good starting point for many problems. It can map data into an infinite-dimensional space and create complex, non-linear decision boundaries. It's controlled by the gamma hyperparameter.
'poly': Uses a polynomial function to map data. The degree of the polynomial is set using the degree hyperparameter (default is 3).
'sigmoid': Uses a function similar to that found in neural networks. Often used in specific applications.

You specify the kernel when creating the SVC instance:

# Linear Kernel
svm_linear = SVC(kernel='linear', random_state=42)
# svm_linear.fit(X_train_scaled, y_train) ...

# Polynomial Kernel (degree 3)
svm_poly = SVC(kernel='poly', degree=3, random_state=42)
# svm_poly.fit(X_train_scaled, y_train) ...

# RBF Kernel (default, shown explicitly)
svm_rbf = SVC(kernel='rbf', random_state=42)
# svm_rbf.fit(X_train_scaled, y_train) ...

Let's visualize the decision boundaries produced by linear and RBF kernels on our sample data.

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