Mathematics of Machine Learning

2 The Geometric Structure of Vector Spaces

Let’s revisit the Iris dataset introduced in the previous chapter! I want to test your intuition. I plotted the petal widths against the petal lengths while hiding the class labels in Figure 2.1:

import matplotlib.pyplot as plt from sklearn.datasets import load_iris # Load the iris dataset iris = load_iris() data = iris.data # Extract petal length (3rd column) and petal width (4th column) petal_length = data[:, 2] petal_width = data[:, 3] with plt.style.context("seaborn-v0_8"): # Create the scatter plot plt.figure(figsize=(7, 7)) plt.scatter(petal_length, petal_width, color='indigo', alpha=0.8, edgecolor='none', s=70, marker='o') plt.xlabel('petal length (cm)') plt.ylabel('petal width (cm)') plt.show() ...